Answer:
1000 (1.12)^t
Step-by-step explanation:
first year 1120
second year 1254.4
etc
The answer is F.)
Approximately 50
5/2 = 2.5
you can check by multiplying 2.5 and 2.

Divide both sides by
:

Substitute
, so that
.

Multiply both sides by
:

The left side can be condensed into the derivative of a product.

Integrate both sides to get

Solve for
:

Solve for
:

![\implies\boxed{y(x)=\sqrt[3]{\dfrac14x^2e^x(2\ln x-1)+Ce^x}}](https://tex.z-dn.net/?f=%5Cimplies%5Cboxed%7By%28x%29%3D%5Csqrt%5B3%5D%7B%5Cdfrac14x%5E2e%5Ex%282%5Cln%20x-1%29%2BCe%5Ex%7D%7D)
Using translation concepts, the equation for the transformed function h(x) is given by:
h(x) = f(-x - 1).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the effect of the two changes is given as follows:
- Reflection over the y-axis, hence h(x) = f(-x).
- Translation of one unit right, that is, x -> x - 1, hence h(x) = f(-x - 1).
More can be learned about translation concepts at brainly.com/question/28373831
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