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3 years ago

I’m reviewing for a test but I can’t remember how to do this

Mathematics

1 answer:

Valentin [98]3 years ago

6 0

Add -x^2 to the other side and then divide 6x on both sides

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An investment, initially worth £645.3, grows at a constant continuous rate of 0.05. After how many years will it be

d1i1m1o1n [39]

The investment growth is an illustration of an exponential function.

It will take 78.3 years for the investment to reach £29437.2

The given parameters are:

Initial worth: 645.3
Rate: 0.05

<h3>Exponential functions</h3>

An exponential function is represented as:

$y = a(1 + r)^t$

Where:

a represents the initial value
r represents the rate.

<h3>The number of years</h3>

So, we have:

$y = 645.3(1.05)^t$

When the investment becomes 29437.2, the equation becomes

$29437.2 = 645.3(1.05)^t$

Divide both sides by 645.3

$45.6=1.05^t$

Take the logarithm of both sides

$\log(45.6)=\log(1.05)^t$

This gives

$\log(45.6)=t\log(1.05)$

Make t the subject

$t = \frac{\log(45.6)}{\log(1.05)}$

$t = 78.3$

Hence, it will take 78.3 years for the investment to reach £29437.2

Read more about exponential functions at:

brainly.com/question/11464095

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2 years ago

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Helga [31]

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The larger number is 9.

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