Question 1

Find the simple interest and the total amount including interest. $$\begin{array} { c | c | c | c | c } 
\text { Principal } & \text { Annual Interest Rate } & \text { Time in Years } & \text { Interest } & \text { Total Amount } \
\hline \$ 6000 & 6 \% & 2 & &
\end{array}$$

Accepted Answer

The answer of Find the simple interest and the total...

Question 2

For $f ( x ) = 2 ^ { x }$, find for $f ( 1 ) \text { and } f ( - 3 ) \text {. }$

Accepted Answer

The answer of For \(f ( x ) = 2...

Question 3

If $6000 is invested in an account that pays 9% interest compounded monthly
for 4 years, label the variables P, r, n, and t.

Accepted Answer

The answer of If $6000 is invested in an account...

Question 4

Add the polynomials.

Accepted Answer

The answer of Add the polynomials. ...

Question 5

Factor completely.
$t ^ { 4 } x ^ { 2 } - 6 t ^ { 3 } x ^ { 3 } + 9 t ^ { 2 } x ^ { 4 }$

Accepted Answer

A)  $\left( t ^ { 2 } - 3 x ^ { 2 } \right) ^ { 2 }$ 
B)  $\left( t ^ { 2 } + 9 x ^ { 2 } \right) ^ { 2 }$ 
C)  $t ^ { 2 } x ^ { 2 } ( t - 3 x ) ^ { 2 }$ 
D)  $t ^ { 2 } x ^ { 2 } ( t + 9 x ) ^ { 2 }$

Question 6

Simplify the expression. Write the answer in exponent form.

Accepted Answer

The answer of Simplify the expression. Write the answer in...

Question 7

Scientists often use a process called carbon dating to estimate the age of archaeological finds. The process measures the amount of carbon-14, a radioactive isotope with a half-life of 5,730 years. If a sample of wood from an ancient artifact had 15 grams of carbon- 14 initially, the amount remaining, in grams, is given by

where  t  is the number of years since the tree died. How many grams would be present after 5,730 years?

Accepted Answer

A)   30 g 
B)   0.27 g 
C)   7.5 g 
D)   3.75 g

Question 8

Find the difference of 
$\left( 4 m ^ { 3 } - 2 m + 24 \right) \text { and } \left( - 11 m ^ { 3 } + m ^ { 2 } + 16 m \right)$

Accepted Answer

The answer of Find the difference of 
\(\left( 4 m...

Question 9

Simplify the expression.

Accepted Answer

The answer of Simplify the expression. ...

Question 10

Subtract the polynomials.

Accepted Answer

The answer of Subtract the polynomials. ...

Question 11

Simplify.

Accepted Answer

The answer of Simplify. ...

Question 12

In a right triangle, one leg measures 14 km and the other leg measures 48 km.
Find the length of the hypotenuse.

Accepted Answer

The answer of In a right triangle, one leg measures...

Question 13

Graph the function

Accepted Answer

A)  
 
B)  
 
C)  
 
D)

Question 14

Evaluate the expression by using a calculator. Round to 4 decimal places.

Accepted Answer

The answer of Evaluate the expression by using a calculator....

Question 15

Multiply the polynomials.

Accepted Answer

A)  
 
B)  
 
C)  
 
D)

Question 16

Multiply the polynomials. $$
( 3.4 a + 7 ) ( 0.5 a - 9 )
$$

Accepted Answer

A)  $1.7 a ^ { 2 } - 27.1 a - 63$ 
B)  $1.7 a ^ { 2 } - 3.5 a - 4.5$ 
C)  $3.9 a - 63$ 
D)  $1.7 a ^ { 2 } - 63$

Question 17

Multiply the polynomials.

Accepted Answer

The answer of Multiply the polynomials. ...

Question 18

Factor the binomial completely.

Accepted Answer

The answer of Factor the binomial completely. ...

Question 19

Scientists often use a process called carbon dating to estimate the age of
archaeological finds. The process measures the amount of carbon-14, a
radioactive isotope with a half-life of 5730 years. If a sample of wood from an
ancient artifact had 19 grams of carbon-14 initially, the amount remaining, in grams,
is given by $$
A ( t ) = 19 \left( \frac { 1 } { 2 } \right) ^ { t / 5730 }
$$
where $t$ is the number of years since the tree died. How many grams would be present after 22,920 years?

Accepted Answer

The answer of Scientists often use a process called carbon...

Question 20

Factor the binomial completely.

Accepted Answer

A)   
B)   
C)   
D)  The binomial is prime.

Exam 4: Living in a Nonlinear World

Find the simple interest and the total amount including interest. $\begin{array} { c | c | c | c | c } \text { Principal } & \text { Annual Interest Rate } & \text { Time in Years } & \text { Interest } & \text { Total Amount } \\\hline \$ 6000 & 6 \% & 2 & &\end{array}$

For $f ( x ) = 2 ^ { x }$ , find for $f ( 1 ) \text { and } f ( - 3 ) \text {. }$

If $6000 is invested in an account that pays 9% interest compounded monthly for 4 years, label the variables P, r, n, and t.

Add the polynomials.

Factor completely. $t ^ { 4 } x ^ { 2 } - 6 t ^ { 3 } x ^ { 3 } + 9 t ^ { 2 } x ^ { 4 }$

Simplify the expression. Write the answer in exponent form.

Find the difference of $\left( 4 m ^ { 3 } - 2 m + 24 \right) \text { and } \left( - 11 m ^ { 3 } + m ^ { 2 } + 16 m \right)$

Simplify the expression.

Subtract the polynomials.

Simplify.

In a right triangle, one leg measures 14 km and the other leg measures 48 km. Find the length of the hypotenuse.

Graph the function

Evaluate the expression by using a calculator. Round to 4 decimal places.

Multiply the polynomials.

Multiply the polynomials. $( 3.4 a + 7 ) ( 0.5 a - 9 )$

Multiply the polynomials.

Factor the binomial completely.

Factor the binomial completely.

Exam 4: Living in a Nonlinear World

For f(x)=2xf ( x ) = 2 ^ { x }f(x)=2x , find for f(1) and f(−3). f ( 1 ) \text { and } f ( - 3 ) \text {. }f(1) and f(−3).

If $6000 is invested in an account that pays 9% interest compounded monthly for 4 years, label the variables P, r, n, and t.

Add the polynomials.

Factor completely. t4x2−6t3x3+9t2x4t ^ { 4 } x ^ { 2 } - 6 t ^ { 3 } x ^ { 3 } + 9 t ^ { 2 } x ^ { 4 }t4x2−6t3x3+9t2x4

Simplify the expression. Write the answer in exponent form.

Find the difference of (4m3−2m+24) and (−11m3+m2+16m)\left( 4 m ^ { 3 } - 2 m + 24 \right) \text { and } \left( - 11 m ^ { 3 } + m ^ { 2 } + 16 m \right)(4m3−2m+24) and (−11m3+m2+16m)

Simplify the expression.

Subtract the polynomials.

Simplify.

In a right triangle, one leg measures 14 km and the other leg measures 48 km. Find the length of the hypotenuse.

Graph the function

Evaluate the expression by using a calculator. Round to 4 decimal places.

Multiply the polynomials.

Multiply the polynomials. (3.4a+7) (0.5a−9) ( 3.4 a + 7 ) ( 0.5 a - 9 ) (3.4a+7) (0.5a−9)

Multiply the polynomials.

Factor the binomial completely.

Factor the binomial completely.

For $f ( x ) = 2 ^ { x }$ , find for $f ( 1 ) \text { and } f ( - 3 ) \text {. }$

Factor completely. $t ^ { 4 } x ^ { 2 } - 6 t ^ { 3 } x ^ { 3 } + 9 t ^ { 2 } x ^ { 4 }$

Find the difference of $\left( 4 m ^ { 3 } - 2 m + 24 \right) \text { and } \left( - 11 m ^ { 3 } + m ^ { 2 } + 16 m \right)$

Multiply the polynomials. $( 3.4 a + 7 ) ( 0.5 a - 9 )$