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vovangra [49]
3 years ago
11

Use the present value formula to determine the amount to be invested now, or the present value needed.

Mathematics
1 answer:
Vladimir79 [104]3 years ago
8 0

Answer:

The value needed now is $102,296.60

Step-by-step explanation:

Here, we want to calculate the present value needed.

We shall be using the formula for compound interest here

Mathematically;

A = I(1 + r/n)^nt

According to the question;

I is the initial amount which is what we want to calculate

A is the accumulated amount with interest = 140,000

r is the interest rate = 8% = 8/100 = 0.08

n is the number of times interest is compounded which is 4, since it is quarterly

t is the number of years = 2

Substituting these values, we have ;

140,000 = I(1 + 0.08/2)^(4 * 2)

140,000 = I(1.04)^8

I = 140,000/(1.04)^8

I = 102,296.62870027774

Which is I = $102,296.60 to the nearest cent

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The playground’s features are more than 25 feet away from the swings are;

<em><u>Sandbox, Water fountain, Jungle gym</u></em>

Looking at the given graph, the distances of the other features from the swing are;

For sandbox; 8 units

For restroom; 4 units

For water fountain; 9 units

For Jungle gym; 7 units

Bench; 5 units

Now we are told that each units on the graph represents 5 ft.

Thus, the respective distances from the swing are;

Sandbox to swing = 8 × 5 = 40 ft

Restroom to swing = 4 × 5 = 20 ft

Water fountain to swing = 9 × 5 = 45 ft

Jungle gym to swing = 7 × 5 = 35 ft

Bench to swing = 5 × 5 = 25 ft

Thus, the playground’s features are more than 25 feet away from the swings are;

Sandbox, Water fountain, Jungle gym

Read more about interpretation of graphs at; brainly.com/question/1638242

5 0
2 years ago
One triangle has a weight of 6 grams. What is the weight of one square?
kramer

Answer:

Assuming you want them to weigh the same the answer would be 3 grams

Step-by-step explanation:

Because... 6 × 3 = 18 3 × 4 = 12

18 + 12 = 30

6 × 4 = 24 3 × 2 = 6 24 + 6 = 30 therefore

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3 0
3 years ago
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How do I divide integers with different signs
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The circumference of a car wheel is about 65 inches. If the car is traveling 65 miles per hour, about how many times per second
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Step-by-step explanation:

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3 years ago
-3(4x − 2) = 6x + 14 ​
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Answer:

x = -4/9

Step-by-step explanation:

-3(4x − 2) = 6x + 14 ​

Distribute

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