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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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In the right triangle shown, m∠A = 30 degrees, and BC = 6√2, how long is AC?
mart [117]

They're trying to trick you with √2.  Remember in the 30/60/90 triangle the sides are in ratio 1:√3:2, with the "1" opposite the 30 degrees.

Here we have

1:√3:2  = 6√2:x:hypotenuse

or

x/(6√2) = √3/ 1

x = 6√2×√3 = 6√6

Answer: AC=6√6

3 0
3 years ago
-(1+7x)=6(-7-x)+36 <br> Alg 2
olganol [36]

Let's solve your equation step-by-step.

−(1+7x)=6(−7−x)+36

Step 1: Simplify both sides of the equation.

−(1+7x)=6(−7−x)+36

−7x+−1=(6)(−7)+(6)(−x)+36(Distribute)

−7x+−1=−42+−6x+36

−7x−1=(−6x)+(−42+36)(Combine Like Terms)

−7x−1=−6x+−6

−7x−1=−6x−6

Step 2: Add 6x to both sides.

−7x−1+6x=−6x−6+6x

−x−1=−6

Step 3: Add 1 to both sides.

−x−1+1=−6+1

−x=−5

Step 4: Divide both sides by -1.

−x

−1

=

−5

−1

x=5

Answer:

x=5

7 0
2 years ago
Evaluate a+b for a=-17 and b=8
In-s [12.5K]

25

substitute 17 for A

substitute 8 for B

should look like this

17+8

then add

should look like this

17+8=25

8 0
3 years ago
Factor the following: x2−16x+64
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Answer:

why wont u just go to quizlet for the answer of look it up on calculator soup it is a great place for those kinds of answers

Step-by-step explanation:

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3 years ago
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svp [43]
The answers are :
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15) -10
16) -300

17) -276
18) -66
3 0
2 years ago
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