4 years ago

Combining transformations result in interesting designs. True False

Mathematics

1 answer:

aev [14]4 years ago

7 0

True is the correct answer Hope this helped =)

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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%.

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Which integer represents the following: –(–28)? 28 -28

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You can find the rate of change by taking it's derivative.

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Five consecutive two-digit positive integers, each less than 30, are not prime. What is the largest of these five integers?

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Solve the polygon for x

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Octagon has sum of angles 1080°

$\\ \rm\Rrightarrow 5(10x+15)+2(14x)+6x-3=1080$

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$\\ \rm\Rrightarrow x=1008/84$

$\\ \rm\Rrightarrow x= 12$

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3 years ago