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yarga [219]
3 years ago
13

YOU WILL GET BRAINLIEST AND 22 POINTS PLS ANSWER!!!!!:

Mathematics
1 answer:
bogdanovich [222]3 years ago
3 0

Answer:

Step-by-step explanation:

Part A: (62)x=1

            62x= 1

              62x/62=1/62

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A person invests $1,150 in an account that earns 5% annual interest compounded continuously. Find when the value of the investme
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Step-by-step explanation:

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Where A(t) is the amount after the compounding, P is the initial deposit, r is the interest rate in decimal form, and t is the time in years.  Filling in what we have looks like this:

2000=1150e^{{.05t}

We will simplify this first a bit by dividing 2000 by 1150 to get

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To get that t out the exponential position it is currently in we have to take the natural log of both sides.  Since a natural log has a base of e, taking the natual log of e cancels both of them out.  They "undo" each other, for lack of a better way to explain it.  That leaves us with

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Taking the natural log of that decimal on our calculator gives us

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Now divide both sides by .05 to get t = 11.06770477 which rounds to 11.1 years.

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