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Delvig [45]
3 years ago
8

Jamie invests part of $10,000 at 9% annual interest and the rest at 8%. If his annual income from

Mathematics
1 answer:
vazorg [7]3 years ago
6 0

Answer:

$4000

Step-by-step explanation:

Assuming a = money invested at 9%

Assuming b = money invested at 8%

then we can form am equation from the question given

1) a + b = $10000, also

0.09a + 0.08b = $860 -> multiply by 100

2) 9a + 8b = $86000

Next we try to solve both equations simultaneously. We multiply both the left hand side and the right hand side of the first equation by 8. We have

3) 8a + 8b = $80000, now we subtract 3 from 2

9a + 8b = $86000

-8a - 8b = -$80000

a = $6000.

Then, we plug this in any of the first 2 equations, to get b

9 * $6000 + 8b = $86000

$54000 + 8b = $86000

8b = $86000 - $54000

8b = $32000

b = $32000/8

b = $4000.

Therefore, he invested $4000 at 8%

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Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5
stich3 [128]

Question is ;

Complete question is;

Boston , Massachusetts, and buffalo, New York, are hit by snowstorms that last 3 days . Boston accumulates snow at a rate of 1.5 feet every 36 hours. Buffalo accumulates snow at a rate of 0.01 inches every minute.

Which city accumulates more snow in 3 days? How much more snow?

Answer:

- Boston accumulates more snow in 3 days.

- It accumulates 0.6 ft of snow more than Boston

Step-by-step explanation:

Boston accumulates 1.5 feet of snow every 36 hours.

Number of hours in 3 days = 24 × 3 = 72 hours.

Thus, In 72 hours, Boston would have accumulated; (1.5 × 72)/36 = 3 feet of snow.

Now, Buffalo accumulates 0.01 inches of snow every minute.

In 3 days, number of minutes we have = 60 × 24 × 3 = 4320 minutes

Thus, total snow accumulated in 3 days = 0.01 × 4320/1 = 43.2 inches

Now, let's convert this to ft;

12 inches = 1ft

Thus; 43.2 inches = 43.2 × 1/12 = 3.6ft

Thus, Buffalo accumulates more snow in 3 days.

It accumulates 0.6 ft of snow more than Boston

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3 years ago
PLEASE HELP <br>thank you
Genrish500 [490]

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Find the measure of ∠3.<br><br> a. 118<br> b. 62<br> c. 31
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<em>answer = 62 \\ solution \\  \: let \:   < 3 \: be \: x \\ x  + 118 = 180(sum \: of \: angle \: in \: triangle) \\ or \: x = 180 - 118 \\ x = 62 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment</em>

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Step-by-step explanation:

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Answer:

The answer is D.

Step-by-step explanation:

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