3 years ago

Please answer quick!!

Mathematics

1 answer:

timurjin [86]3 years ago

8 0

Answer:

Sorry whats your question.

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Dale has 2000 dollars to invest. He has a goal to have 5800 in this invest ment in 9 years. At what annual rate compounded conti

elena-14-01-66 [18.8K]

Answer:

Dale will reach his goal at an annual rate of 11.83%.

Step-by-step explanation:

The formula for continuos compounding is given by:

$A(t) = Pe^{rt}$

In which A is the amount after t years, P is the principal(initial amount) and r is the annual rate.

Dale has 2000 dollars to invest.

This means that $P = 2000$

He has a goal to have 5800 in this invest ment in 9 years.

So $A(9) = 5800$

At what annual rate compounded continuously will Dale reach his goal?

This is r.

$A(t) = Pe^{rt}$

$5800 = 2000e^{9r}$

$e^{9r} = \frac{58}{20}$

$e^{9r} = 2.9$

$\ln{e^{9r}} = \ln{2.9}$

$9r = \ln{2.9}$

$r = \frac{\ln{2.9}}{9}$

$r = 0.1183$

Dale will reach his goal at an annual rate of 11.83%.

3 0

3 years ago

Read 2 more answers

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Ne4ueva [31]

I believe it is the first one sorry if I am wrong

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2 years ago

140 is 70% of what number

sergey [27]

70%=0.7
140/0.7=200
Therefore, 140 is 70% of 200.
Hope this helps!

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The altitude of a right triangle that meets the hypotenuse at a right angle divides the triangle into smaller triangles that are

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Since the altitude meets the triangle at a right angle it divides it into Similar triangles

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What is the product of

nydimaria [60]

$\frac{10}{ m^{5} }$

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