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ziro4ka [17]
3 years ago
10

Solve for m. -19m − 19 = 4m − 4m + 19

Mathematics
1 answer:
dangina [55]3 years ago
7 0
-19m-19 = 4m-4m+19
-19m-19 = 0+19
-19m = 19+19
-19m = 38
m = 38÷(-19)
m = -2
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Last year, Keiko had $20,000 to invest. She invested some of it in an account that paid %7 simple interest per year, and she inv
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Answer:

P_2 = \$6,000\\P_1 = \$14,000

Step-by-step explanation:

The formula of simple interest is:

I = P_0rt

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_______________________________________________

<u><em>For the first account</em></u> r = 0.07 per year.

Then the formula is:

I_1 = P_1r_1t

Where

P_1 is the initial amount in account 1 at a rate r_1 during t = 1 year

I_1 = P_1(0.07)(1)\\\\I_1 = 0.07P_1

<u><em>For the second account </em></u>r = 0.05 per year.

Then the formula is:

I_2 = P_2r_2t

Where

P_2 is the initial amount in account 2 at a rate r_2 during t = 1 year

Then

I_2 = P_2(0.05)(1)\\\\I_2 = 0.05P_2

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So

I = I_1 + I_2=1,280

Substituting the values I_1, I_2 and I we have:

1,280 = 0.07P_1 + 0.05P_2

As the total amount that was invested was $20,000 then

P_0 = P_1 + P_2 = 20,000

Then we multiply the second equation by -0.07 and add it to the first equation:

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Then P_1 = 14,000

4 0
3 years ago
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