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defon
3 years ago
6

Last year, Kaitlin opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 2

8%. (a) Fill in the blank to write the year-end amount in terms of the original amount. Write your answer as a decimal. Year-end amount = 1 x Original amount​
Mathematics
1 answer:
musickatia [10]3 years ago
5 0

Answer:

Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.

Step-by-step explanation:

Given that last year Kaitlin opened an investment account with $ 8,600, and at the end of the year, the amount in the account had decreased by 28%, to determine the year-end amount in terms of the original amount both in whole numbers and in decimals, the following calculation must be performed:

100 - 28 = 72

8,600 x 0.72 = X

6.192 = X

Thus, Kaitlin's account will have 72% of the money initially invested, that is, about $ 6,192.

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The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y + 7 = (x – 10). What is the stan
Crank

Answer:

<h3>2x + 5y = –15.</h3>

Step-by-step explanation:

We are given coordinates of the line passed through (–5, –1) and (10, –7) .

Applying slope formula,

Slope=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(10,\:-7\right)

Therefore,

m=\frac{-7-\left(-1\right)}{10-\left(-5\right)}

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Therefore, slope is m=-\frac{2}{5}.

Applying point-slope form y-y_1=m(x-x_1), we get

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On multiplying both sides by 5, we get

5(y+7)=5\times-\frac{2}{5}(x+1)

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Adding 2x on both sides, we get

5y+25+2x=-2x+20+2x

2x+5y+35=20

Subtracting 35 from both sides, we get

2x+5y+35-35=20-35

2x+5y=-15.

Therefore, required equation is :

<h3>2x + 5y = –15.</h3>
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3 years ago
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Find out more on equation at: brainly.com/question/2972832

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2 years ago
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The answer is (1,-9).
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