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Paul [167]
2 years ago
12

Camryn puts $400 into a savings account that earns 6% annually. the amount in her account can

Mathematics
1 answer:
mylen [45]2 years ago
7 0

The exponential function that approximates the amount of money in her account using a weekly growth rate is:

c_w(t) = 400(1.001154)^{\frac{t}{52}}

<h3 />

What is an exponential function?

An increasing exponential function is modeled by:

A(t) = A(0)(1 + r)^t

In which:

  • A(0) is the initial value.
  • r is the growth rate, as a decimal

In this problem, the yearly function is:

c(t) = 400(1.06)^t

Considering that a year has 52 weeks, we have that:

0.06/52 = 0.001154

Hence:

c_w(t) = 400(1.001154)^{\frac{t}{52}}

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

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