$175 at 5.45% for 36 months

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

3 0

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

$175 at 5.45% for 36 months

<u>First, we need to determine the monthly interest:</u>

Monthly interest= 0.0545/12= 0.004542

<u>Now, we will calculate the interest earned using both simple and compound interest:</u>

Simple interest:

I= P*r*t

I= 175*0.004542*36

I= $28.61

Compound interest:

I= PV*(1+i)^n - PV

I= 175*(1.004542^36) - 175

I= $31.01

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A jar contains 10 blue marbles, 4 red marbles, and 8 white marbles. What are the odds of drawing a blue marble from the bag?

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Answer:

10/22

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3 years ago

Mallory and Aimee save money for summer camp. They both plan to save the same amount of money. Mallory has 35$ and plans to save

Mrrafil [7]

Answer:

0.857 weeks

Step-by-step explanation:

Using the information provided we can create the following equations for the total amount Mallory (M) and Aimee (A) will save after x number of weeks...

M = 35 + 15x

A = 5 + 50x

Now we would need to make both of these equations equal one another and solve for x to calculate after how many week both Aimee and Mallory will have saved the same amount of money

35 + 15x = 5 + 50x ... subtract 5 and 15x from both sides

30 = 35x ... divide both sides by 35

$\frac{30}{35}$ or 0.857 = x

Finally, we can see that after 0.857 weeks both Mallory and Aimee will have saved the same amount of money.

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4 years ago

The glass container is filled to a height of 2.25 inches. What percent of the container is filled with sand?

Makovka662 [10]

The complete question in the attached figure

Part A) How much sand is currently in the container?
[sand currently in the container]=(5)*(4 1/2)*(2.25)-----> (5)*(4.5)*(2.25)
[sand currently in the container]=50.625 in³

the answer Part a) is 50.625 in³

Part B) How much more sand could the container hold before?
[sand could the container hold before]=[5*4.5*3]-[50.625]
[sand could the container hold before]=[67.5]-[50.625]------> 16.875 in³

the answer Part B) is 16.875 in³

Part C) What percent of the container is filled with sand?
the volume of container is [5*4.5*3]=67.5 in³
the volume filled with sand=50.625 in³
therefore
if 100%----------------> 67.5 in³
X---------------------> 50.625 in³
X=(50.625*100)/67.5=75 %

the answer Part C) is 75%