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sergeinik [125]
3 years ago
13

Erica's parents gave her $500 for her high school graduation. She put the money into a savings account that earned 7.5% annual i

nterest. She left the money in the account for nine months before she withdrew it. About how many months would she have to leave the money in the account if she wants to reach her goal of saving $750? Give your answer in months.
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
3 0

Answer:

She would need to leave the money in her account for 6 years and 8 months.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P.

In this question:

She put 500 into the saving account, so P = 500

7.5% annual interest, so I = 0.075

Saving $750. So we need T = 750.

Interest earned:

T = E + P

750 = E + 500

E = 250

How long to earn $250 in interest, in years:

E = P*I*t

250 = 500*0.075*t

t = \frac{250}{500*0.075}

t = 6.67

Converting to months:

6.67 years, that is, 6 years and (2/3) of an year.

An year has 12 months.

(2/3)*12 = 8.

So

She would need to leave the money in her account for 6 years and 8 months.

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The cost of milk is $3.75, so now we have:

3.75 = 5x + 0.50


Subtract 0.50 from each side:

3.25 = 5x

Divide both sides by 5:

X = 3.25 / 5

x = 0.65

The cost of water = $0.65

8 0
3 years ago
A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250 cubic centimeters of soup. The
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Step-by-step explanation:

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7 0
3 years ago
consider there are three machines. All of the machines can produce 1000 pins at a time. Therate of producing a faulty pin from M
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Answer:

0.03333

Step-by-step explanation:

Given that there are three machines. All of the machines can produce 1000 pins at a time.

Chance for any machine is thus equaly likely = 1/3

The rate of producing a faulty pin from Machine 1 be 10%, from Machine 2 be 20% andfrom Machine3 be 5%.

Machine             I                     II              III                  total

Faulty              0.10                0.20        0.05

Prob                0.3333           0.3333    0.3334             1

Faulty*prob    0.03333         0.06666  0.16665         0.26664

Thus probability  that a produced pin will be faulty and it will be from the firstmachine

= 0.03333

6 0
3 years ago
Calculate the perimeter of the composite figure. Round your answer to the nearest hundredth. Use 3.14 for $\pi$ .
Elena-2011 [213]

1. Perimeter is 3 + 3 +3 +4 +5 = 18 feet

 Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet

2. perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters

  Area = 3*.5 = 1.5, 3*2=6,  6+1.5 = 7.5 square meters

3. perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches

  Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 52.3 inches  

4. surface area = 2*π*6*20+2*π*6^2= 980.2 yards

Volume = π*6^2*20 = 2261.9 cubic yards

5.surface area = 2*(9*7+2*2+2*9) = 190 cm

Volume = 2*7*9 = 126 cubic cm

6. surface area = 2*(11*11+11*11+11*11) = 726 mm

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3 0
2 years ago
Solve this please, and quick
rosijanka [135]
Error: They subtracted 9x from both sides when they should have subtracted 12. You can’t subtract unlike terms
Correct: x=-5/16
Subtract 12 from both sides to get -5 on the left and add 7x and 9x to get 16x. Divide both sides by 16 to isolate x.
8 0
3 years ago
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