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Katyanochek1 [597]
2 years ago
12

What simple interest rate is needed for $1000 to grow to $1071.25 in 9 months?

Mathematics
2 answers:
BlackZzzverrR [31]2 years ago
3 0

Answer:

9.5%

Step-by-step explanation:

Use the formula I = Prt

I is the interest (unknown), P is the principal (1000), rate is the percent (unknown), and t is time in years (9/12).

9 months is a fraction of a year. There are 12 months in a year, so our fraction is 9/12. You can reduce this fraction by dividing by 3. The fraction reduced is 3/4. You can also use the decimal which is .75.

First we need to solve how much interest we earned. 1071.25 is the balance, so we need to subtract the principal from the balance.

1071.25 - 1000 = 71.25

Plug the numbers in to the formula. We are solving for r.

71.25 = 1000(.75)r

71.25 = 750r

71.25/750 = 750r/750

r = 0.095

Convert the decimal to a percent by moving the decimal two places right.

0.095 = 9.5%

Alex2 years ago
3 0
Use the formula | = Prt
I is the interest (unknown), P is the principal
(1000), rate is the percent (unknown), and t is
time in years (9/12).
9 months is a fraction of a year. There are 12
months in a year, so our fraction is 9/12. You can
reduce this fraction by dividing by 3. The fraction
reduced is 3/4. You can also use the decimal
which is .75.
First we need to solve how much interest we
earned. 1071.25 is the balance, so we need to
subtract the principal from the balance.
1071.25 - 1000 = 71.25
Plug the numbers in to the formula. We are
solving for r.
71.25 = 1000(.75)r
71.25 = 750r
71.25/750 = 750r/750
r= 0.095
Convert the decimal to a percent by moving the
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Answer:

B. \displaystyle -1, -7

Step-by-step explanation:

\displaystyle x^2 = -8x - 7 → x^2 + 8x + 7 \\ \\ x^2 + 8x + 7 \\ [x + 1][x + 7]; -1, -7 = x

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6 0
4 years ago
For which value of x will the rational expression below be undefined? Check all that apply. (x-5)(x+2)/x+1 A. -5 B. -1 C. 1 D. 5
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Answer:

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Step-by-step explanation:

<u>Given expression:</u>

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3 0
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6 0
3 years ago
PLEASE HELP QUICK!!! A bowl has 85 pieces of candy. Nineteen children empty the bowl of candy. Some children take 3 pieces, some
Mekhanik [1.2K]

Answer: 3 kids take 3 pieces of candy each

Step-by-step explanation:

Let the number of children that took 3 pieces is x ( total take 3*x pieces of candy)

Number of children that took 5 pieces is y ( total take 5*y pieces of candy)

1 child took 1 piece that actually means that x+y=18 and 3*x+5*y=84.

( Because total number of all kids is 19. We just deduct one kid (Let his name is John) who took only 1 candy.  So we have 19-1 =18 kids without John. The similar is with the candies. Total number is 85. We deduct 1 piece which John has taken. )

So we have 2 equations or the system of 2 equations:

1).  x+y=18

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Multuply both sides of equation 1) by 3

We have   3*x+3*y=18*3

Deduct 3*y from both sides of this equation

3*x+3*y-3*y=54-3*y

3*x=54-3*y

Substitute 3*x in equation  2).  by 54-3*y

2) 54-3*y+5*y=84

2*y=30

y=15  ( kids take 5 pieces of candy each)

Using equation 1) find x

x+15=18

x=3 (kids take 3 pieces of candy each)

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I think it’s 15..
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