Deck 18: Mathematics in Engineering
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Deck 18: Mathematics in Engineering
1
If you deposi
nto an account that pays
compounded quarterly, how many years
will it take to reach a value
________ years


will it take to reach a value

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) cash flow diagrams.
B) cost - revenue diagrams.
C) Venn diagrams.
D) business plans.
A
3
If you deposi
into a 6-month CD (certificate of deposit) that pay
PR
compounded quarterly, what is its value at maturity?


compounded quarterly, what is its value at maturity?

5189.26
4
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? 

fixed rate if there


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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.
A) initial interest.
B) simple interest.
C) compound interest.
D) present value interest.
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6
If you deposit $100 into an account that pays
APR compounded weekly, what would be
the value in the account after 30 years?

the value in the account after 30 years?

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7
If you deposit $100 into an account that pays
APR compounded monthly, what would be
the value in the account after 30 years?

the value in the account after 30 years?

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8
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? 

have


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9
If you deposi
nto a 6-month CD (certificate of deposit) that pays
APR
compounded annually, what is its value at maturity?


compounded annually, what is its value at maturity?

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10
If you deposit $100 into an account that pays
APR compounded daily, what would be the
value in the account after 30 years?

value in the account after 30 years?

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11
An initial deposi
a
interest (APR), compounded quarterly. How much will
be in the account at the end of 10 years?


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.
interest rate is called the nominal interest rate.
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13
If you deposi
nto an account that pay
APR compounded semiannually, what would
be the value in the account after 30 years?


be the value in the account after 30 years?

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14
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?

college charges her last tuition bill of

high-paying engineering job), how much will she have to pay?

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15
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 $
? 

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
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?


the following May?

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17
If you deposi
nto an account that pay
APR compounded quarterly, what would be
the value in the account after 30 years?


the value in the account after 30 years?

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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.
A) initial interest.
B) simple interest.
C) compound interest.
D) present value interest.
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19
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?


the following May?

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20
If you deposit $100 into an account that pays
APR compounded annually, what would be
the value in the account after 30 years?

the value in the account after 30 years?

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21
What nominal rate, compounded monthly, would yield an effective rate of 10
? 


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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.
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.
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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
A) short-term loans
B) long-term loans
C) IOUs
D) bonds
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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.
A) life-cycle cost.
B) life-span cost.
C) sustainability cost.
D) total cost.
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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.
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.
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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.
A) accounting schemes.
B) depreciation methods.
C) investment strategies.
D) dance steps.
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27
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? 

to repay the mortgage in 15 years. What is your monthly payment if you agree to pay an interest
rate of


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