Mathematics: An account earns simple interest. $300 at 4% for 3 years a. find the interest earned. $ b. find the balance of the account. $

An account earns simple interest. $300 at 4% - id300434975926, mandilynn22

Ответ:

GingerSnaps

17.01.2022

Mathematics

a. $36

b. $336

Step-by-step explanation:

The simple interest on a amount is:

A=P(1+rt)

A is the amount after interest, P is the amount before interest, r is the rate of interest and t is the time in years.

We can use the formula:

$=300\cdot{(1+0.04\cdot{3})}=300\cdot{1.12}=336$

The interest earned is the amount after interest minus the original amount before interest:

=336-300=36

$36 of interest was earned

The balance of the account is $336 worked out in a

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Ответ:

emmaschloegl21x

28.01.2020

Mathematics

32.5 units (choice C)

This value is approximate.

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Explanation:

To find the perimeter, we simply add up the lengths of the three external sides.

The horizontal side from D to E is 16 units long since |-10-6| = 16. I subtracted the x coordinates of the points and applied absolute value. You could also count out the spaces and you should count 16 spaces from D to E.

Unfortunately, the diagonal lengths aren't as straight forward. We have two options here: The pythagorean theorem, or the distance formula.

I'll go with the distance formula.

Let's find the distance from C to D, aka the length of side CD

$C = (x1,y1) = (-1,-2)\\\\D = (x2,y2) = (-10,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-(-10))^2 + (-2-0)^2}\\\\d = \sqrt{(-1+10)^2 + (-2-0)^2}\\\\d = \sqrt{(9)^2 + (-2)^2}\\\\d = \sqrt{81 + 4}\\\\d = \sqrt{85}\\\\d \approx 9.2195\\\\$

Side CD is roughly 9.2195 units long.

Repeat this idea to find the length of CE

$C = (x1,y1) = (-1,-2)\\\\E = (x2,y2) = (6,0)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-1-6)^2 + (-2-0)^2}\\\\d = \sqrt{(-7)^2 + (-2)^2}\\\\d = \sqrt{49 + 4}\\\\d = \sqrt{53}\\\\d \approx 7.2801\\\\$

Side CE is roughly 7.2801 units long

The perimeter of triangle CDE is approximately...

P = DE+CD+CE

P = 16 + 9.2195 + 7.2801

P = 32.4996

This then rounds to 32.5 units. The answer is choice C.

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An account earns simple interest. $300 at 4% for 3 years a. find the interest earned. $ b. find the balance of the account. $

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