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Korolek [52]
3 years ago
14

Nicole and her sister each invest $500 in a bank account that earns an annual interest rate of 4%. If y represents the total amo

unt of money in the account and t represents the time in years since they invested in the account, which equation represents this situation?
Mathematics
1 answer:
Zinaida [17]3 years ago
8 0

Answer:

y = $(500+20t)

Step-by-step explanation:

In this question, we are asked to give an equation that calculates the amount y a savings of $500 would have yielded after a period of t years at an annual rate of 4% per annum.

This looks quite straightforward! Let’s crack it!

Now, the amount y after t years is simply the initial savings plus the interest on the savings.

This means mathematically we should have a representation like;

y = $500 + SI

Where SI is the simple interest. Now, let’s calculate the SI with the information at our disposal.

Mathematically SI = PRT/100

where P is the initial amount saved called principal and has a value of $500 in this question

R is the rate and that is 4%

T is time and that is t years

Substituting these parameters in the equation, we have

SI = (500 * 4 * t)/100 = 20t

The amount y after t years is thus:

y = $500 + $20t or simply y = $(500+20t)

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Solve for a in terms of F and m: F=ma
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5 0
4 years ago
Royce is folding a piece of paper to make an origami figure. Each time he folds the paper, the thickness of the paper is doubled
Alisiya [41]
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When you don't fold it all, the thickness will remain the same, which is 2. The ordered pair would be (0, 2).

When you fold it once, the thickness will double from 2 to 4. The ordered pair would be (1,4).

When you fold it a second time, the thickness will double from 4 to 8. The ordered pair would be (2,8).

Fold it one more time, and the thickness will be 16. The ordered pair is (3,16)

Fold it the fourth time, and the thickness doubles. 16 x 2 = 32 The ordered pair is (4, 32)

Fold it the fifth time, and the thickness goes from 32 to 64. The ordered pair is (5,64)

The ordered pairs would be:
(0,2)
(1,4)
(2,8)
(3,16)
(4,32)
(5,64)
(6,128)
(7,256)
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Now, the equation for this would be y = 2^{(x+1)}

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6 0
4 years ago
Keisha's boat has a top speed of 9 miles per hour in still water. While traveling on a river at top speed, she went 10 miles ups
neonofarm [45]
If she went 10 miles upstream in the same time as she went 20 miles downstream, that means the downstream speed is twice the upstream speed.

The speed is still water is 9 mph.
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Going downstream, the current adds speed, so the sped downstream is 9 + c.
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9 + c = 2(9 - c)

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Check:
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By taking into the account the speed of the current, the downstream speed, 12 mph, is indeed twice the upstream sped, 6 mph.

6 0
4 years ago
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