A student has a savings account earning 12% simple interest. She must pay $1250 for first-semester tuition by September 1 and $1250 for second-semester tuition by January 1. How much must she earn in the summer (by September 1) to pay the first-semester bill on time and still have the remainder of her summer earnings grow to $1250 between September 1 and January 1? We know that the interest rate as a decimal is r =_____0.12_____ and the amount of time is t = _____________years.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 50E
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A student has a savings account earning 12% simple interest. She must pay $1250 for first-semester tuition by September 1 and $1250 for second-semester tuition by January 1. How much must she earn in the summer (by September 1) to pay the first-semester bill on time and still have the remainder of her summer earnings grow to $1250 between September 1 and January 1?

We know that the interest rate as a decimal is

r =_____0.12_____ and the amount of time is t = _____________years.
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