Question 1

Evaluate: 5-1.2&#10;A)-6&#10;B)0.145&#10;C)-6.899&#10;D)2.44

Accepted Answer

B

Question 2

The formula for finding compound interest is

where A is the accumulated amount, P is the principal invested, r is the rate of interest, t is the time in years, and n is the number of compounds each year. Find the accumulated amount if the principal invested is $8,000, the rate is 6%, the compounds each year is 2 (semi-annually), and the
number of years is 12.

Accepted Answer

$20,470.99

Question 3

&#10;A)$9,058.80&#10;B)$1,795.52&#10;C)$1,552.78&#10;D)$1,742.50

Accepted Answer

Using the given values in the compound amount formula, we get:

$A = P \left( 1 + \frac { r } { n } \right) ^ { n t }$

$A = 1500 \left( 1 + \frac {0.10}{52} \right) ^ { 52 \times\frac{18}{12} }$

$A = 1742.50$

Therefore, the accumulated amount on the investment is $\$ 1,742.50$ after 18 months. The correct answer is D.

Question 4

The formula for finding the monthly payment for an amortized loan is:

where M is the monthly payment, R is the interest rate PER MONTH, and N is the number of months. Find the monthly payment on a home loan of $100,000 at 6% for 30 years.

Accepted Answer

The answer of The formula for finding the monthly payment...

Question 5

Evaluate: e-5&#10;A)1&#10;B)-148.4131591&#10;C)1.221402758&#10;D)0.006737947

Accepted Answer

e-5 can be rewritten as 1/e^5 which is approximately 0.006737947. Therefore, the best choice is D.

Question 6

&#10;A)$6,554.47&#10;B)$26,217.88&#10;C)$13,108.94&#10;D)$3,277.24

Accepted Answer

The formula for compound interest is $A = P \left(1 + \frac{r}{n}\right)^{nt}$, where $P$ is the principal amount (\$4000), $r$ is the annual interest rate (0.05), $n$ is the number of times the interest is compounded per year (2 for semiannually), and $t$ is the time the money is invested for (10 years). Plugging these values into the formula gives $A = 4000 \left(1 + \frac{0.05}{2}\right)^{2 \times 10} = \$6,554.47$.

Question 7

Evaluate:  &#10;A) -32&#10;B) 32&#10;C)  &#10;D)

Accepted Answer

$2 ^ { 5 } = 2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 = 32$

Question 8

&#10;A)$334.56&#10;B)$1,325.00&#10;C)$8,246.92&#10;D)$337.21

Accepted Answer

The answer of  &#10;A)$334.56&#10;B)$1,325.00&#10;C)$8,246.92&#10;D)$337.21...

Question 9

Charlie invested $2400 at an interest rate of 5% for 5 years, where it was compounded continuously. If A = Peni, calculate the accumulated amount.&#10;A)$12,326.64&#10;B)$3,081.66&#10;C)$6,163.32&#10;D)$24,653.29

Accepted Answer

The formula for continuous compounding is $A = Pe^{rt}$, where $A$ is the amount of money accumulated after n years, including interest, $P$ is the principal amount (the initial amount of money), $r$ is the annual interest rate (decimal), and $t$ is the time the money is invested for in years. Given $P = 2400$, $r = 0.05$, and $t = 5$, we calculate $A = 2400e^{(0.05)(5)} = 2400e^{0.25}$. Evaluating this gives $A ≈ \$3,081.66$.

Question 10

Using the formula   , find the interest on an investment of $1200, at an interest rate of 12% for 5 years, if the interest is compounded quarterly.&#10;

Accepted Answer

The answer of Using the formula   , find...

Question 11

The compound amount when an investment is compounded continuously is A = Peni Where A = compound amount, P = original principal, n = number of years, and i = interest rate per year. Let P = 1000, I = 0.1, and n = 5, then find A.

A)$13,189.77
B)$3297.44
C)$6594.89
D)$1,648.72

Accepted Answer

The answer of The compound amount when an investment is...

Question 12

&#10;A)$1,050.00&#10;B)$525.31&#10;C)$18,000.00&#10;D)$551.25

Accepted Answer

The answer of  &#10;A)$1,050.00&#10;B)$525.31&#10;C)$18,000.00&#10;D)$551.25...

Question 13

A suburb city presently has a population of 250,000 people. In 25 years, what would its estimated population be if P = Poe0.02t?&#10;A)1,648,721&#10;B)3,297,443&#10;C)824,361&#10;D)412,180

Accepted Answer

The answer of A suburb city presently has a population...

Question 14

The formula for finding the monthly payment for an amortized loan is:

where M is the monthly payment, R is the interest rate PER MONTH, and N is the number of months. Find the monthly payment on a home loan of $100,000 at 6% for 30 years.

Accepted Answer

The answer of The formula for finding the monthly payment...

Question 15

Evaluate:  &#10;A)  &#10;B)  &#10;C) 8&#10;D) -8

Accepted Answer

The answer of Evaluate:  &#10;A)  &#10;B)  &#10;C)...

Question 16

The formula for finding compound interest is

where A is the accumulated amount, P is the principal invested, r is the rate of interest, t is the time in years, and n is the number of compounds each year. Find the accumulated amount if the principal invested is $8,000, the rate is 6%, the compounds each year is 2 (semi-annually), and the
number of years is 12.

Accepted Answer

The answer of The formula for finding compound interest is...

Question 17

11eb1297_766c_4295_93f4_2ff1c01f92cd_TB6503_00

Accepted Answer

The answer of 11eb1297_766c_4295_93f4_2ff1c01f92cd_TB6503_00...

Question 18

11eb1297_766b_f473_93f4_7fc930ed8fdd_TB6503_00

Accepted Answer

The answer of 11eb1297_766b_f473_93f4_7fc930ed8fdd_TB6503_00...

Question 19

&#10;A)$3,628.04&#10;B)$20,300.00&#10;C)$16,543.61&#10;D)$3,612.22

Accepted Answer

The answer of  &#10;A)$3,628.04&#10;B)$20,300.00&#10;C)$16,543.61&#10;D)$3,612.22...

Question 20

&#10;A)$636.82&#10;B)$12,736.36&#10;C)$6,368.18&#10;D)$25,472.73

Accepted Answer

The answer of  &#10;A)$636.82&#10;B)$12,736.36&#10;C)$6,368.18&#10;D)$25,472.73...

Question 21

A suburb city presently has a population of 100,000 people. In 25 years, what would its estimated population be if  &#10;A)164,872&#10;B)1,318,977&#10;C)329,744&#10;D)659,489

Accepted Answer

The answer of A suburb city presently has a population...

Question 22

The compound amount when an investment is compounded continuously is A = Peni Where A = compound amount, P = original principal, n = number of years, and i = interest rate per year. Let P = 1000, I = 0.1, and n = 5, then find A.

A)$13,189.77
B)$3297.44
C)$6594.89
D)$1,648.72

Accepted Answer

The answer of The compound amount when an investment is...

Question 23

The formula for finding the amount an investment grows to if it is compounded continuously is A = Pert, A is the accumulated amount, P is the principal invested, e is the natural exponent, r is the rate per year, and t is the number of years. Find the accumulated amount A if $4,500 is compounded continuously for 6 years at 7.5% per year.

Accepted Answer

The answer of The formula for finding the amount an...

Question 24

The formula for finding the amount an investment grows to if it is compounded continuously is A = Pert, A is the accumulated amount, P is the principal invested, e is the natural exponent, r is the rate per year, and t is the number of years. Find the accumulated amount A if $1,500 is compounded continuously for 5 years at 6% per year.

Accepted Answer

The answer of The formula for finding the amount an...

Question 25

The formula for finding the amount an investment grows to if it is compounded continuously is A = Pert, A is the accumulated amount, P is the principal invested, e is the natural exponent, r is the rate per year, and t is the number of years. Find the accumulated amount A if $10,000 is compounded continuously for 3 years at 8% per year.

Accepted Answer

The answer of The formula for finding the amount an...

Question 26

Nancy invested $1800 at an interest rate of 6% for 4 years, where it was compounded continuously. If A = Peni, calculate the accumulated amount.&#10;A)$2,288.25&#10;B)$4,576.50&#10;C)$18,305.99&#10;D)$9,152.99

Accepted Answer

The answer of Nancy invested $1800 at an interest rate...

Question 27

Solve for  &#10;A)x = 2&#10;B)x = 16,810&#10;C)x = -2&#10;D)x = 8

Accepted Answer

The answer of Solve for  &#10;A)x = 2&#10;B)x =...

Question 28

&#10;A)20.1&#10;B)0.0498&#10;C)0.001&#10;D)0.125

Accepted Answer

The answer of  &#10;A)20.1&#10;B)0.0498&#10;C)0.001&#10;D)0.125...

Question 29

Solve for x:&#10;

Accepted Answer

The answer of Solve for x:&#10;  ...

Question 30

The compound amount when an investment is compounded continuously is A = Peni Where A = compound amount, P = original principal, n = number of years, and i = interest rate per year. Let P = 1000, I = 0.1, and n = 5, then find A.

A)$13,189.77
B)$3297.44
C)$6594.89
D)$1,648.72

Accepted Answer

The answer of The compound amount when an investment is...

Question 31

Solve for  &#10;A)x = 2&#10;B)x = -3&#10;C)x = 0&#10;D)x = 3

Accepted Answer

The answer of Solve for  &#10;A)x = 2&#10;B)x =...

Question 32

&#10;A)1.9801&#10;B)0.9900&#10;C)3.9602&#10;D)7.9204

Accepted Answer

The answer of  &#10;A)1.9801&#10;B)0.9900&#10;C)3.9602&#10;D)7.9204...

Question 33

The compound amount when an investment is compounded continuously is expressed by the formula A = Peni, where A is the compound amount, n is the number of years, and i is the interest rate per year. Find the compound amount of an investment of $2500 at an interest rate of 10% for 2 years if it is compounded continuously.

A)$3,000.00
B)$3,025.00
C)$4,023.59
D)$3,053.51

Accepted Answer

The answer of The compound amount when an investment is...

Question 34

The compound amount when an investment is compounded continuously is expressed by the formula A = Peni, where A is the compound amount, P is the principal, n is the number of years, and i is the interest rate per year. Find the compound amount of an investment of $1,000 at an interest rate of 8% for 20 years if it is compounded continuously.

A)$4,953.03
B)$470.00
C)$39,810.72
D)$4,660.96

Accepted Answer

The answer of The compound amount when an investment is...

Question 35

The formula A = Peni can also be used for exponential growth and decay applications. Use the formula to find the resulting amount from an original 52 g of a decomposing substance if it decomposes at a rate of 12% per century for 10 centuries.

A)824.1 g
B)15.7 g
C)3.3 g
D)172.6 g

Accepted Answer

The answer of The formula A = Peni can also...

Question 36

Solve for x:&#10;

Accepted Answer

The answer of Solve for x:&#10;  ...

Question 37

Solve for&#10;

Accepted Answer

The answer of Solve for&#10;  ...

Question 38

Evaluate:  &#10;A)x = 56&#10;B)x = 7&#10;C)x = 8&#10;D)x = 11.3137

Accepted Answer

The answer of Evaluate:  &#10;A)x = 56&#10;B)x = 7&#10;C)x...

Question 39

&#10;A)0.135&#10;B)100&#10;C)7.38&#10;D)0.001

Accepted Answer

The answer of  &#10;A)0.135&#10;B)100&#10;C)7.38&#10;D)0.001...

Question 40

The compound amount when an investment is compounded continuously is expressed by the formula A = Peni, where A is the compound amount, P is the principal, n is the number of years, and i is the interest rate per year. Find the compound amount of an investment of $1,000 at an interest rate of 8% for 20 years if it is compounded continuously.

A)$4,953.03
B)$470.00
C)$39,810.72
D)$4,660.96