A bank features a savings account that has an annual percentage rate of r = 3.7% with interest compounded quarterly. Brayden deposits $7,500 into the account. kt The account balance can be modeled by the exponential formula A(t) = a(1 + · a(1+7.) * where A is account value after t years, a is the principal (starting amount), r is the annual percentage rate, k is the number of times each year that the interest is compounded. (A) What values should be used for a, r, and k? a r = k (B) How much money will Brayden have in the account in 8 years? Answer = $ Round answer to the nearest penny. (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year). APY = %. Round answer to 3 decimal places.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter7: Percents
Section7.7: Simple And Compound Interest
Problem 23E
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A bank features a savings account that has an annual percentage rate of r = 3.7% with interest
compounded quarterly. Brayden deposits $7,500 into the account.
kt
The account balance can be modeled by the exponential formula A(t) = a(1 + ·
a(1+7.) *
where A is
account value after t years, a is the principal (starting amount), r is the annual percentage rate, k is the
number of times each year that the interest is compounded.
(A) What values should be used for a, r, and k?
a
r =
k
(B) How much money will Brayden have in the account in 8 years?
Answer = $
Round answer to the nearest penny.
(C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective
annual percentage rate which includes all compounding in the year).
APY =
%.
Round answer to 3 decimal places.
Transcribed Image Text:A bank features a savings account that has an annual percentage rate of r = 3.7% with interest compounded quarterly. Brayden deposits $7,500 into the account. kt The account balance can be modeled by the exponential formula A(t) = a(1 + · a(1+7.) * where A is account value after t years, a is the principal (starting amount), r is the annual percentage rate, k is the number of times each year that the interest is compounded. (A) What values should be used for a, r, and k? a r = k (B) How much money will Brayden have in the account in 8 years? Answer = $ Round answer to the nearest penny. (C) What is the annual percentage yield (APY) for the savings account? (The APY is the actual or effective annual percentage rate which includes all compounding in the year). APY = %. Round answer to 3 decimal places.
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