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sleet_krkn [62]

3 years ago

9

Theo deposits $3,000 in a savings account earning compound interest at an annual rate of 5% compounded annually. He makes no add

itional deposits or withdrawals. Use the formula for compound interest to find the amount in the account after 10 years.

1 answer:

IgorLugansk [536]3 years ago

7 0

Answer:

3000 times 0.05 times 10 equals 1500

Step-by-step explanation:

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On a survey map 5 inches represents 400 yards. What is the<br> number of yards per inch?

padilas [110]

Answer:

The number of yards per inch would be 80.

Step-by-step explanation:

400 divided by 5 = 80.

Have a good day.

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3 years ago

A recipe calls for 1 1/2 cups of flour to make 1/4 of a batch of cookies.

blondinia [14]

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8 0

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By what percent did

Marysya12 [62]

54.55 percent.
Set a ratio:
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4 0

3 years ago

Write an equation in slope intercept form for the line with slope 2 and y intercept -4

Kobotan [32]

Answer:

y= 2x-4

Step-by-step explanation:

6 0

3 years ago

Mr. Aydlett is on an island 2 miles offshore and wishes to reach a coastal village 6 miles down a straight shoreline from the po

eimsori [14]

Answer:t=2.11 hr

Step-by-step explanation:

Given

Aydlett is 2 miles offshore and village is 6 miles down a straight line from the Point on the shore nearest the island

Person can row boat at 2 mph in water and can walk 5 mph in land

Let us suppose Person land the boat at a x miles from Point on the shore

thus time taken by him to reach

$t_1=\frac{\sqrt{x^2+2^2}}{2}$

Time taken person to reach village by land is

$t_2=\frac{6-x}{5}$

total time $=\frac{\sqrt{x^2+2^2}}{2}+\frac{6-x}{5}$

we need the time to be least so differentiate t w.r.t to x

$\frac{\mathrm{d} t}{\mathrm{d} x}=\frac{2x}{2\cdot 2\cdot \sqrt{4+x^2}}-\frac{1}{5}$

Equating Above term to zero to get minimum time

$\frac{x}{2\sqrt{4+x^2}}=\frac{1}{5}$

$25x^2=16+4x^2$

$x=\frac{4}{\sqrt{21}}$

Substituting x in time equation

$t=\frac{\sqrt{4+0.761}}{2}+\frac{6-0.872}{5}$

$t=2.116 hr$

5 0

3 years ago