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jonny [76]
3 years ago
14

If you borrow $894 for four years at an interest rate of 3%, how much interest will you pay?

Mathematics
1 answer:
Studentka2010 [4]3 years ago
3 0

Answer:

$1006.20

Step-by-step explanation:

This is an example of compound interest.

To work this out you would first have to convert the percentage into a decimal, you can do this by dividing 3 by 100, which gives you 0.03. You are dividing by 100 as percentages are out of 100. Then you would add 1 to 0.03, which gives you 1.03. This is because you are finding percentage increases. Then you would multiply 894 by 1.03 to the power of 4, which gives you 1006.20. This is because you are finding 3 percent and adding it on and then finding 3 percent of that, this is why we put it to the power of how much time.

1) Divide 3 by 100.

3/100=0.03

2) Add 1 to 0.03.

0.03+1=1.03

3) Multiply 894 by 1.03 to the power of 4.

894*1.03^{4}=1006.20

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The number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850
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Answer: b. 2x = 30

Step-by-step explanation:

Given : <u>30 states</u> joined the United States between 1776 and 1849

and <u>x states</u> joined between 1850 and 1900 .

If the number of states that joined the United States between 1776 and 1849 is twice the number of states that joined between 1850 and 1900.

i.e. No. of states joined the United States between 1776 and 1849= 2 (No. of states that joined between 1850 and 1900)

i.e . 30=  2(x)          [Substitute the values]

i.e . 2x=30

Hence, the true equation : 2x=30

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Two perpendicular lines intersect at the origin. If the slope of the first line is -1/2, what is the equation of the second line
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bearing in mind that perpendicular lines have <u>negative reciprocal</u> slopes.

now, they both intersect at 0,0, namely they both pass through it, we know the slope of the first one, so

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\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})~\hspace{10em} slope = m\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=2(x-0)\implies y=2x

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Any value of x makes the equation true.

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