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agasfer [191]
3 years ago
6

A total of $8000 is invested: part at 8% and the remainder at 12%. How much is invested at each rate if the annual interest is $

650?
Mathematics
1 answer:
inna [77]3 years ago
4 0

Answer:

8% = $7750

12% = $250

Step-by-step explanation:

I P R. T.

8% X .08 .08X

12% 8000-X .12 .12(8000-X)

.08X + .12(8000-X) = 650

.08X + 960 - .12X = 650

<u> </u><u> </u><u> -960 </u><u> </u><u> </u><u> -960</u>

.08x - .12x = -310

<u>-.04x</u><u> </u><u>=</u><u> </u><u>-310</u>

-.04x -.04x

X = 7750

Verify:

X = 7750

8000 - X = 250

250 + 7750 = 8000

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What is the distance from the origin of point P graphed on the complex plane below?
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Answer:

b) √29

Step-by-step explanation:

Given: The origin is (0, 0), the point P is (2, -5).

We need to use the distance formula.

Distance formula = \sqrt{(x2 -x1)^2 + (y2 - y1)^2} \\

Here x2 = 2, x 1 = 0, y1 =0, y2 = -5

Distance = \sqrt{(2 -0)^2 + (-5 - 0)^2}

= \sqrt{2^2 + (5)^2}

= √(4 + 25)

= √29

The answer is b) √29

Hope you will understand the concept.

Thank you.

7 0
3 years ago
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The population of a country is 9.7x10^7 and is increasing by 8.7x10^5
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10^7 = 10,000,000

9.7x10^7 = 9.7x10,000,000

9.7x10,000,000 = 97,000,000

8.7x10^5 = 870,000

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1. 21,750,000 new people are added after 25 years

2. The total population after 25 years is 118,750,000

5 0
4 years ago
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Square P and Sqare Q are similar squares. The ratio of the side length of square P to the side length of square Q is 2:7. If the
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Answer:

Perimeter of square Q is 49 inches.

Step-by-step explanation:

Let x be the length of side of square P and y be that of square Q.

It is given in the question that :

\frac{x}{y}=\frac{2}{7}

Also it is given that x=3.5 inches.Hence

\frac{3.5}{y}=\frac{2}{7}

∴ y=12.25 inches.

Perimeter of square Q is 4y = 4\times12.25=49 inches.

4 0
3 years ago
Are 2,3,4,5,6,9,10 divisble by 3​
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The product of 1 1/2 and 2 is
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Method 1:

Convert the mixed number to the improper fraction:

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Make the product:

1\dfrac{1}{2}\cdot2=\dfrac{3}{2}\cdot2

<em>canceled 2</em>

=\dfrac{3}{\not2_1}\cdot\not2^1}=\boxed{3}

Method 2:

1\dfrac{1}{2}=1+\dfrac{1}{2}

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3 years ago
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