Question

Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into the account and earns 2% interest on the new balance, compounded annually. Which recursive formula represents the total amount of money in Victoria’s account at the end of the nth year?

Answer 1

the answer is c

Explanation:

because in the end she has $200 and she added $15 into her account, so you need to multiply her 2% interest because itll make the price higher.

Answer 2

Answer:

A(t) = 200+15t(1+0.02)^{t}

Explanation:

Since the interest is calculated on the new balance every year.

Hence the formula used for compound interest is:

A = P(1+^{nt}

where, A =Amount after t years

P =Principal amount

200 is the initial balance and Since, here the $15 is added to the balance each year. Therefore, P = 200+15t

r = rate each year (0.02)

t = time (in years) (t)

n = no. of times the interest is compounded in a year (n=1)

Therefore, the recursive formula is:

A(t) = 200+15t(1+0.02)^{t}

OR

answer:

d. 3 to the power of 2 multiplied by 1 whole over 4, the whole squared. = 3 to the power of 4 multiplied by 1 squared over 4 squared. = 81 over 16.

Explanation:

this is an exercise in pemdas, the order of arithmetic operation:

parentheses > exponents > multiplication and division > addition and subtraction.

[(3² × 5⁰)/4]² = [(9 × 1)/4]² = (9/4)² = 81/16

3⁴ × 1²/4² = 81 × 1/16 = 81/16

a. is wrong. 3¹ × 1²/4² = 3 × 1/16 = 3/16

b. is wrong. [(3² × 0)/4]² = [(9 × 0)/4]² = (0/4)² = 0² = 0

c. is wrong. [(3² × 0)/4]² = 0