An investment grows according to the formula B = 8000 x 1.0065' dollars, where t is time, measured in months. In parts (b) and (c), round your answer to the nearest whole month. (a) What was the initial balance of the investment? (b) How many months does it take for the balance to double? months (c) How many more months does it take for the balance to double again? months

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 68SE: An investment account with an annual interest rateof 7 was opened with an initial deposit of 4,000...
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An investment grows according to the formula
B = 8000 x 1.0065' dollars,
where t is time, measured in months. In parts (b) and (c), round your answer to the nearest whole month.
(a) What was the initial balance of the investment?
(b) How many months does it take for the balance to double?
months
(c) How many more months does it take for the balance to double again?
months
Transcribed Image Text:An investment grows according to the formula B = 8000 x 1.0065' dollars, where t is time, measured in months. In parts (b) and (c), round your answer to the nearest whole month. (a) What was the initial balance of the investment? (b) How many months does it take for the balance to double? months (c) How many more months does it take for the balance to double again? months
Expert Solution
Step 1

Given formula is,

Bt=8000×1.0065t

Part(a):

At initially that is at t=0 the balance of the investment is,

Bt=8000×1.0065tB0=8000×1.00650=8000

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