Deck 18: Mathematics in Engineering

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Question
If you deposi If you deposi   nto an account that pays   compounded quarterly, how many years will it take to reach a value   ________ years<div style=padding-top: 35px> nto an account that pays If you deposi   nto an account that pays   compounded quarterly, how many years will it take to reach a value   ________ years<div style=padding-top: 35px> compounded quarterly, how many years
will it take to reach a value If you deposi   nto an account that pays   compounded quarterly, how many years will it take to reach a value   ________ years<div style=padding-top: 35px> ________ years
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Question
Visual aids that show the flow of costs and revenues over a period of time are known as

A) cash flow diagrams.
B) cost - revenue diagrams.
C) Venn diagrams.
D) business plans.
Question
If you deposi If you deposi   into a 6-month CD (certificate of deposit) that pay   PR compounded quarterly, what is its value at maturity?  <div style=padding-top: 35px> into a 6-month CD (certificate of deposit) that pay If you deposi   into a 6-month CD (certificate of deposit) that pay   PR compounded quarterly, what is its value at maturity?  <div style=padding-top: 35px> PR
compounded quarterly, what is its value at maturity? If you deposi   into a 6-month CD (certificate of deposit) that pay   PR compounded quarterly, what is its value at maturity?  <div style=padding-top: 35px>
Question
If you deposi If you deposi   nto an account that pays a fixed rate compounded annually, what is the fixed rate if there   19 in the account after 30 years?  <div style=padding-top: 35px> nto an account that pays a fixed rate compounded annually, what is the
fixed rate if there If you deposi   nto an account that pays a fixed rate compounded annually, what is the fixed rate if there   19 in the account after 30 years?  <div style=padding-top: 35px> 19 in the account after 30 years? If you deposi   nto an account that pays a fixed rate compounded annually, what is the fixed rate if there   19 in the account after 30 years?  <div style=padding-top: 35px>
Question
The interest that would be paid only on the initial borrowed or deposited amount is

A) initial interest.
B) simple interest.
C) compound interest.
D) present value interest.
Question
If you deposit $100 into an account that pays If you deposit $100 into an account that pays   APR compounded weekly, what would be the value in the account after 30 years?  <div style=padding-top: 35px> APR compounded weekly, what would be
the value in the account after 30 years? If you deposit $100 into an account that pays   APR compounded weekly, what would be the value in the account after 30 years?  <div style=padding-top: 35px>
Question
If you deposit $100 into an account that pays If you deposit $100 into an account that pays   APR compounded monthly, what would be the value in the account after 30 years?  <div style=padding-top: 35px> APR compounded monthly, what would be
the value in the account after 30 years? If you deposit $100 into an account that pays   APR compounded monthly, what would be the value in the account after 30 years?  <div style=padding-top: 35px>
Question
If you put away a fixed amount each month, a If you put away a fixed amount each month, a   PR compounded monthly, in order to have   years, how much will you have paid during that time?  <div style=padding-top: 35px> PR compounded monthly, in order to
have If you put away a fixed amount each month, a   PR compounded monthly, in order to have   years, how much will you have paid during that time?  <div style=padding-top: 35px> years, how much will you have paid during that time? If you put away a fixed amount each month, a   PR compounded monthly, in order to have   years, how much will you have paid during that time?  <div style=padding-top: 35px>
Question
If you deposi If you deposi   nto a 6-month CD (certificate of deposit) that pays   APR compounded annually, what is its value at maturity?  <div style=padding-top: 35px> nto a 6-month CD (certificate of deposit) that pays If you deposi   nto a 6-month CD (certificate of deposit) that pays   APR compounded annually, what is its value at maturity?  <div style=padding-top: 35px> APR
compounded annually, what is its value at maturity? If you deposi   nto a 6-month CD (certificate of deposit) that pays   APR compounded annually, what is its value at maturity?  <div style=padding-top: 35px>
Question
If you deposit $100 into an account that pays If you deposit $100 into an account that pays   APR compounded daily, what would be the value in the account after 30 years?  <div style=padding-top: 35px> APR compounded daily, what would be the
value in the account after 30 years? If you deposit $100 into an account that pays   APR compounded daily, what would be the value in the account after 30 years?  <div style=padding-top: 35px>
Question
An initial deposi An initial deposi   a   interest (APR), compounded quarterly. How much will be in the account at the end of 10 years?  <div style=padding-top: 35px> a An initial deposi   a   interest (APR), compounded quarterly. How much will be in the account at the end of 10 years?  <div style=padding-top: 35px> interest (APR), compounded quarterly. How much will
be in the account at the end of 10 years? An initial deposi   a   interest (APR), compounded quarterly. How much will be in the account at the end of 10 years?  <div style=padding-top: 35px>
Question
The stated or quoted interest rate is called the effective interest rate, and the actual earned
interest rate is called the nominal interest rate.
Question
If you deposi If you deposi   nto an account that pay   APR compounded semiannually, what would be the value in the account after 30 years?  <div style=padding-top: 35px> nto an account that pay If you deposi   nto an account that pay   APR compounded semiannually, what would be the value in the account after 30 years?  <div style=padding-top: 35px> APR compounded semiannually, what would
be the value in the account after 30 years? If you deposi   nto an account that pay   APR compounded semiannually, what would be the value in the account after 30 years?  <div style=padding-top: 35px>
Question
A credit card charges interest at a rate of A credit card charges interest at a rate of   per year, compounded monthly. If a senior in college charges her last tuition bill of   nd intends to pay it 3 years later (after she gets a high-paying engineering job), how much will she have to pay?  <div style=padding-top: 35px> per year, compounded monthly. If a senior in
college charges her last tuition bill of A credit card charges interest at a rate of   per year, compounded monthly. If a senior in college charges her last tuition bill of   nd intends to pay it 3 years later (after she gets a high-paying engineering job), how much will she have to pay?  <div style=padding-top: 35px> nd intends to pay it 3 years later (after she gets a
high-paying engineering job), how much will she have to pay? A credit card charges interest at a rate of   per year, compounded monthly. If a senior in college charges her last tuition bill of   nd intends to pay it 3 years later (after she gets a high-paying engineering job), how much will she have to pay?  <div style=padding-top: 35px>
Question
If you deposi If you deposi   nto an account that pays an interest rate that compounds quarterly, what is the interest rate if the value in the account after 30 years is $   ?  <div style=padding-top: 35px> nto an account that pays an interest rate that compounds quarterly, what
is the interest rate if the value in the account after 30 years is $ If you deposi   nto an account that pays an interest rate that compounds quarterly, what is the interest rate if the value in the account after 30 years is $   ?  <div style=padding-top: 35px> ? If you deposi   nto an account that pays an interest rate that compounds quarterly, what is the interest rate if the value in the account after 30 years is $   ?  <div style=padding-top: 35px>
Question
If you take out a $15,0 If you take out a $15,0   udent loan on the first day of September, and promise to pay   APR compounded annually, how much interest would you pay if you repay the loan at the end of the following May?  <div style=padding-top: 35px> udent loan on the first day of September, and promise to pay If you take out a $15,0   udent loan on the first day of September, and promise to pay   APR compounded annually, how much interest would you pay if you repay the loan at the end of the following May?  <div style=padding-top: 35px> APR compounded annually, how much interest would you pay if you repay the loan at the end of
the following May? If you take out a $15,0   udent loan on the first day of September, and promise to pay   APR compounded annually, how much interest would you pay if you repay the loan at the end of the following May?  <div style=padding-top: 35px>
Question
If you deposi If you deposi   nto an account that pay   APR compounded quarterly, what would be the value in the account after 30 years?  <div style=padding-top: 35px> nto an account that pay If you deposi   nto an account that pay   APR compounded quarterly, what would be the value in the account after 30 years?  <div style=padding-top: 35px> APR compounded quarterly, what would be
the value in the account after 30 years? If you deposi   nto an account that pay   APR compounded quarterly, what would be the value in the account after 30 years?  <div style=padding-top: 35px>
Question
When the interest paid on the initial principal also collects interest, this is called

A) initial interest.
B) simple interest.
C) compound interest.
D) present value interest.
Question
If you take out a $15, If you take out a $15,   udent loan on the first day of September, and promise to pay   APR compounded annually, how much interest would you pay if you repay the loan at the end of the following May?  <div style=padding-top: 35px> udent loan on the first day of September, and promise to pay If you take out a $15,   udent loan on the first day of September, and promise to pay   APR compounded annually, how much interest would you pay if you repay the loan at the end of the following May?  <div style=padding-top: 35px> APR compounded annually, how much interest would you pay if you repay the loan at the end of
the following May? If you take out a $15,   udent loan on the first day of September, and promise to pay   APR compounded annually, how much interest would you pay if you repay the loan at the end of the following May?  <div style=padding-top: 35px>
Question
If you deposit $100 into an account that pays If you deposit $100 into an account that pays   APR compounded annually, what would be the value in the account after 30 years?  <div style=padding-top: 35px> APR compounded annually, what would be
the value in the account after 30 years? If you deposit $100 into an account that pays   APR compounded annually, what would be the value in the account after 30 years?  <div style=padding-top: 35px>
Question
What nominal rate, compounded monthly, would yield an effective rate of 10 What nominal rate, compounded monthly, would yield an effective rate of 10   ?  <div style=padding-top: 35px> ? What nominal rate, compounded monthly, would yield an effective rate of 10   ?  <div style=padding-top: 35px>
Question
When a bond is issued, it will have

A) an issue date, a maturity date, and an interest rate.
B) a maturity date, a par value, and an interest rate.
C) an issue date, a par value, and an interest rate.
D) an issue date, a maturity date, and a par value.
Question
Although there are many types of these, they are basically loans that investors make to government or corporations in return for some gain. What are they?

A) short-term loans
B) long-term loans
C) IOUs
D) bonds
Question
In engineering, the term that refers to the sum of all costs that are associated with a structure, a service, or a product during its life span is

A) life-cycle cost.
B) life-span cost.
C) sustainability cost.
D) total cost.
Question
The par value of a bond is

A) the amount originally paid for the bond.
B) the amount that will be repaid at maturity date.
C) all of the above.
D) none of the above.
Question
The Straight Line and the Modified Accelerated Cost Recovery System (MACRS) are examples of

A) accounting schemes.
B) depreciation methods.
C) investment strategies.
D) dance steps.
Question
You have taken out a mortgage for a new home in the amount of You have taken out a mortgage for a new home in the amount of   . You have agreed to repay the mortgage in 15 years. What is your monthly payment if you agree to pay an interest rate of   compounded monthly?  <div style=padding-top: 35px> . You have agreed
to repay the mortgage in 15 years. What is your monthly payment if you agree to pay an interest
rate of You have taken out a mortgage for a new home in the amount of   . You have agreed to repay the mortgage in 15 years. What is your monthly payment if you agree to pay an interest rate of   compounded monthly?  <div style=padding-top: 35px> compounded monthly? You have taken out a mortgage for a new home in the amount of   . You have agreed to repay the mortgage in 15 years. What is your monthly payment if you agree to pay an interest rate of   compounded monthly?  <div style=padding-top: 35px>
Question
The percentage of par value that is paid to the bond holder at regular intervals is known as

A) par rate.
B) par dividend.
C) interest rate.
D) annuity payment.
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Deck 18: Mathematics in Engineering
1
If you deposi If you deposi   nto an account that pays   compounded quarterly, how many years will it take to reach a value   ________ years nto an account that pays If you deposi   nto an account that pays   compounded quarterly, how many years will it take to reach a value   ________ years compounded quarterly, how many years
will it take to reach a value If you deposi   nto an account that pays   compounded quarterly, how many years will it take to reach a value   ________ years ________ years
30
2
Visual aids that show the flow of costs and revenues over a period of time are known as

A) cash flow diagrams.
B) cost - revenue diagrams.
C) Venn diagrams.
D) business plans.
A
3
If you deposi If you deposi   into a 6-month CD (certificate of deposit) that pay   PR compounded quarterly, what is its value at maturity?  into a 6-month CD (certificate of deposit) that pay If you deposi   into a 6-month CD (certificate of deposit) that pay   PR compounded quarterly, what is its value at maturity?  PR
compounded quarterly, what is its value at maturity? If you deposi   into a 6-month CD (certificate of deposit) that pay   PR compounded quarterly, what is its value at maturity?
5189.26
4
If you deposi If you deposi   nto an account that pays a fixed rate compounded annually, what is the fixed rate if there   19 in the account after 30 years?  nto an account that pays a fixed rate compounded annually, what is the
fixed rate if there If you deposi   nto an account that pays a fixed rate compounded annually, what is the fixed rate if there   19 in the account after 30 years?  19 in the account after 30 years? If you deposi   nto an account that pays a fixed rate compounded annually, what is the fixed rate if there   19 in the account after 30 years?
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5
The interest that would be paid only on the initial borrowed or deposited amount is

A) initial interest.
B) simple interest.
C) compound interest.
D) present value interest.
Unlock Deck
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k this deck
6
If you deposit $100 into an account that pays If you deposit $100 into an account that pays   APR compounded weekly, what would be the value in the account after 30 years?  APR compounded weekly, what would be
the value in the account after 30 years? If you deposit $100 into an account that pays   APR compounded weekly, what would be the value in the account after 30 years?
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7
If you deposit $100 into an account that pays If you deposit $100 into an account that pays   APR compounded monthly, what would be the value in the account after 30 years?  APR compounded monthly, what would be
the value in the account after 30 years? If you deposit $100 into an account that pays   APR compounded monthly, what would be the value in the account after 30 years?
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8
If you put away a fixed amount each month, a If you put away a fixed amount each month, a   PR compounded monthly, in order to have   years, how much will you have paid during that time?  PR compounded monthly, in order to
have If you put away a fixed amount each month, a   PR compounded monthly, in order to have   years, how much will you have paid during that time?  years, how much will you have paid during that time? If you put away a fixed amount each month, a   PR compounded monthly, in order to have   years, how much will you have paid during that time?
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9
If you deposi If you deposi   nto a 6-month CD (certificate of deposit) that pays   APR compounded annually, what is its value at maturity?  nto a 6-month CD (certificate of deposit) that pays If you deposi   nto a 6-month CD (certificate of deposit) that pays   APR compounded annually, what is its value at maturity?  APR
compounded annually, what is its value at maturity? If you deposi   nto a 6-month CD (certificate of deposit) that pays   APR compounded annually, what is its value at maturity?
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10
If you deposit $100 into an account that pays If you deposit $100 into an account that pays   APR compounded daily, what would be the value in the account after 30 years?  APR compounded daily, what would be the
value in the account after 30 years? If you deposit $100 into an account that pays   APR compounded daily, what would be the value in the account after 30 years?
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11
An initial deposi An initial deposi   a   interest (APR), compounded quarterly. How much will be in the account at the end of 10 years?  a An initial deposi   a   interest (APR), compounded quarterly. How much will be in the account at the end of 10 years?  interest (APR), compounded quarterly. How much will
be in the account at the end of 10 years? An initial deposi   a   interest (APR), compounded quarterly. How much will be in the account at the end of 10 years?
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12
The stated or quoted interest rate is called the effective interest rate, and the actual earned
interest rate is called the nominal interest rate.
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13
If you deposi If you deposi   nto an account that pay   APR compounded semiannually, what would be the value in the account after 30 years?  nto an account that pay If you deposi   nto an account that pay   APR compounded semiannually, what would be the value in the account after 30 years?  APR compounded semiannually, what would
be the value in the account after 30 years? If you deposi   nto an account that pay   APR compounded semiannually, what would be the value in the account after 30 years?
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14
A credit card charges interest at a rate of A credit card charges interest at a rate of   per year, compounded monthly. If a senior in college charges her last tuition bill of   nd intends to pay it 3 years later (after she gets a high-paying engineering job), how much will she have to pay?  per year, compounded monthly. If a senior in
college charges her last tuition bill of A credit card charges interest at a rate of   per year, compounded monthly. If a senior in college charges her last tuition bill of   nd intends to pay it 3 years later (after she gets a high-paying engineering job), how much will she have to pay?  nd intends to pay it 3 years later (after she gets a
high-paying engineering job), how much will she have to pay? A credit card charges interest at a rate of   per year, compounded monthly. If a senior in college charges her last tuition bill of   nd intends to pay it 3 years later (after she gets a high-paying engineering job), how much will she have to pay?
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15
If you deposi If you deposi   nto an account that pays an interest rate that compounds quarterly, what is the interest rate if the value in the account after 30 years is $   ?  nto an account that pays an interest rate that compounds quarterly, what
is the interest rate if the value in the account after 30 years is $ If you deposi   nto an account that pays an interest rate that compounds quarterly, what is the interest rate if the value in the account after 30 years is $   ?  ? If you deposi   nto an account that pays an interest rate that compounds quarterly, what is the interest rate if the value in the account after 30 years is $   ?
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16
If you take out a $15,0 If you take out a $15,0   udent loan on the first day of September, and promise to pay   APR compounded annually, how much interest would you pay if you repay the loan at the end of the following May?  udent loan on the first day of September, and promise to pay If you take out a $15,0   udent loan on the first day of September, and promise to pay   APR compounded annually, how much interest would you pay if you repay the loan at the end of the following May?  APR compounded annually, how much interest would you pay if you repay the loan at the end of
the following May? If you take out a $15,0   udent loan on the first day of September, and promise to pay   APR compounded annually, how much interest would you pay if you repay the loan at the end of the following May?
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17
If you deposi If you deposi   nto an account that pay   APR compounded quarterly, what would be the value in the account after 30 years?  nto an account that pay If you deposi   nto an account that pay   APR compounded quarterly, what would be the value in the account after 30 years?  APR compounded quarterly, what would be
the value in the account after 30 years? If you deposi   nto an account that pay   APR compounded quarterly, what would be the value in the account after 30 years?
Unlock Deck
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k this deck
18
When the interest paid on the initial principal also collects interest, this is called

A) initial interest.
B) simple interest.
C) compound interest.
D) present value interest.
Unlock Deck
Unlock for access to all 28 flashcards in this deck.
Unlock Deck
k this deck
19
If you take out a $15, If you take out a $15,   udent loan on the first day of September, and promise to pay   APR compounded annually, how much interest would you pay if you repay the loan at the end of the following May?  udent loan on the first day of September, and promise to pay If you take out a $15,   udent loan on the first day of September, and promise to pay   APR compounded annually, how much interest would you pay if you repay the loan at the end of the following May?  APR compounded annually, how much interest would you pay if you repay the loan at the end of
the following May? If you take out a $15,   udent loan on the first day of September, and promise to pay   APR compounded annually, how much interest would you pay if you repay the loan at the end of the following May?
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20
If you deposit $100 into an account that pays If you deposit $100 into an account that pays   APR compounded annually, what would be the value in the account after 30 years?  APR compounded annually, what would be
the value in the account after 30 years? If you deposit $100 into an account that pays   APR compounded annually, what would be the value in the account after 30 years?
Unlock Deck
Unlock for access to all 28 flashcards in this deck.
Unlock Deck
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21
What nominal rate, compounded monthly, would yield an effective rate of 10 What nominal rate, compounded monthly, would yield an effective rate of 10   ?  ? What nominal rate, compounded monthly, would yield an effective rate of 10   ?
Unlock Deck
Unlock for access to all 28 flashcards in this deck.
Unlock Deck
k this deck
22
When a bond is issued, it will have

A) an issue date, a maturity date, and an interest rate.
B) a maturity date, a par value, and an interest rate.
C) an issue date, a par value, and an interest rate.
D) an issue date, a maturity date, and a par value.
Unlock Deck
Unlock for access to all 28 flashcards in this deck.
Unlock Deck
k this deck
23
Although there are many types of these, they are basically loans that investors make to government or corporations in return for some gain. What are they?

A) short-term loans
B) long-term loans
C) IOUs
D) bonds
Unlock Deck
Unlock for access to all 28 flashcards in this deck.
Unlock Deck
k this deck
24
In engineering, the term that refers to the sum of all costs that are associated with a structure, a service, or a product during its life span is

A) life-cycle cost.
B) life-span cost.
C) sustainability cost.
D) total cost.
Unlock Deck
Unlock for access to all 28 flashcards in this deck.
Unlock Deck
k this deck
25
The par value of a bond is

A) the amount originally paid for the bond.
B) the amount that will be repaid at maturity date.
C) all of the above.
D) none of the above.
Unlock Deck
Unlock for access to all 28 flashcards in this deck.
Unlock Deck
k this deck
26
The Straight Line and the Modified Accelerated Cost Recovery System (MACRS) are examples of

A) accounting schemes.
B) depreciation methods.
C) investment strategies.
D) dance steps.
Unlock Deck
Unlock for access to all 28 flashcards in this deck.
Unlock Deck
k this deck
27
You have taken out a mortgage for a new home in the amount of You have taken out a mortgage for a new home in the amount of   . You have agreed to repay the mortgage in 15 years. What is your monthly payment if you agree to pay an interest rate of   compounded monthly?  . You have agreed
to repay the mortgage in 15 years. What is your monthly payment if you agree to pay an interest
rate of You have taken out a mortgage for a new home in the amount of   . You have agreed to repay the mortgage in 15 years. What is your monthly payment if you agree to pay an interest rate of   compounded monthly?  compounded monthly? You have taken out a mortgage for a new home in the amount of   . You have agreed to repay the mortgage in 15 years. What is your monthly payment if you agree to pay an interest rate of   compounded monthly?
Unlock Deck
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28
The percentage of par value that is paid to the bond holder at regular intervals is known as

A) par rate.
B) par dividend.
C) interest rate.
D) annuity payment.
Unlock Deck
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Unlock Deck
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