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GrogVix [38]
3 years ago
9

Which list shows all the factor pairs of 42? A. 1 and 42, 2 and 24, 3 and 18, 4 and 13, 6 and 8 B. 1 and 42, 2 and 21, 3 and 14,

6 and 7 C. 1 and 42, 2 and 21, 3 and 14, 4 and 13, 6 and 7 D. 1 and 42, 2 and 21, 3 and 14, 6 and 8
Mathematics
1 answer:
kondor19780726 [428]3 years ago
3 0

Answer:

List B

Step-by-step explanation:

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a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c
alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

x+y=28000

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

0.07x+0.09y=2200

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

(0.07x+0.09y)*100=2200*100\\7x+9y=220000

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

y=28000-x

7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0
3 years ago
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