Question

To save for a car when he turns 18, Pascale deposited $500 each year into a savings account with a 7.5% interest rate compounded annually. Using the formula, what is the value of the account at the end of the fifth year?
$3,071.92
$3,122.00
$3,851.77
$4,140.65

Answer 1

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

Initial amount deposited into a savings account each year = $500

Rate of interest compounded annually = 7.5%

Number of years = 5 years

So, Amount in the account at the end of the fifth year would be

$500(\dfrac{1+\frac{7.5}{100})^5-1}{\dfrac{7.5}{100}}\times (1+\dfrac{7.5}{100}))\\\\\\=500(\dfrac{1.075^5-1}{0.075}\times 1.075)\\\\=\ 3122.00$

Hence, Second option is correct.

Answer 2

Fv=500×(((1.075)^(5)−1)
÷(0.075)×(1.075))

Fv=3,122.01