Wilma Worker has a \[tex]$90,000 insurance policy for which she pays \$[/tex]1,200 a year. To compare the cash value of the policy to investing the same amount of money at 6%, she performs the following calculations:

a. Wilma multiplies \[tex]$1,200 \times 1.26
\$[/tex] [tex]$\square$[/tex]

b. Wilma multiplies \[tex]$1,200 \times 1.19
\$[/tex] [tex]$\square$[/tex]

c. Wilma multiplies \[tex]$1,200 \times 1.12
\$[/tex] [tex]$\square$[/tex]

d. Wilma multiplies \[tex]$1,200 \times 1.06
\$[/tex] [tex]$\square$[/tex]

e. Wilma sums a-d and adds \[tex]$1,200
\$[/tex] [tex]$\square$[/tex]

f. Wilma calculates the cash value of a \[tex]$90,000 policy after 5 years
\$[/tex] [tex]$\square$[/tex]



Answer :

Alright, let’s go through each step of the problem as Wilma worked through it:

a. Calculation of [tex]$1200 \times 1.26$[/tex]
Wilma multiplied her annual payment by [tex]\(1.26\)[/tex]:
[tex]\[ 1200 \times 1.26 = 1512.0 \][/tex]
So, the result is: \[tex]$1512.00 b. Calculation of $[/tex]1200 \times 1.19[tex]$ Next, she multiplied her annual payment by \(1.19\): \[ 1200 \times 1.19 = 1428.0 \] So, the result is: \$[/tex]1428.00

c. Calculation of [tex]$1200 \times 1.12$[/tex]
Then, she multiplied her annual payment by [tex]\(1.12\)[/tex]:
[tex]\[ 1200 \times 1.12 = 1344.0 \][/tex]
So, the result is: \[tex]$1344.00 d. Calculation of $[/tex]1200 \times 1.06[tex]$ She also multiplied her annual payment by \(1.06\): \[ 1200 \times 1.06 = 1272.0 \] So, the result is: \$[/tex]1272.00

e. Sum of results from steps a to d plus the initial [tex]$1200$[/tex]
Wilma summed the results from parts a-d and added the initial annual payment:
[tex]\[ 1512.0 + 1428.0 + 1344.0 + 1272.0 + 1200 = 6756.0 \][/tex]
So, the sum of the results plus the initial annual payment is: \[tex]$6756.00 f. Cash value of a $[/tex]90,000 policy after 5 years
Wilma considered the cash value of her [tex]$90,000 insurance policy after 5 years: \[ 90000 \] So, the cash value of the policy after 5 years is: \$[/tex]90,000.00

Therefore, the results are as follows:

a. [tex]\(\$ 1512.00\)[/tex]

b. [tex]\(\$ 1428.00\)[/tex]

c. [tex]\(\$ 1344.00\)[/tex]

d. [tex]\(\$ 1272.00\)[/tex]

e. [tex]\(\$ 6756.00\)[/tex]

f. [tex]\(\$ 90000.00\)[/tex]