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3 years ago

How much interest does a $318 investment earn at 9% over one year please show your work

Mathematics

1 answer:

ra1l [238]3 years ago

3 0

Answer:

$28.62

Step-by-step explanation:

As investment is $318 and interest rate is 9% over the year so we'll calculate 9% of $318

9% of 318=(9/100)*318

which is equal to $28.62

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Find the equation of the line that passes through the points (-5,7) and (2,3)

Olegator [25]

Answer:

$y=-\frac{4}{7}x+4\frac{1}{7}$

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= $\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}$

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

$y=-\frac{4}{7} x+b\\$

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

$y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}$

Last step: substitute the slope and y intercept into y=mx+b.

$y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}$

That is the answer to this problem.

I hope this helps.

3 0

3 years ago

What is the measure of the angle? А 30° В. 60° с. 90° D. 120 E. 150

Vsevolod [243]

I think the answer is B

4 0

3 years ago

To fit between two windows, the width of a bookshelf must be no greater than feet. Mrs. Aguilar purchases a bookshelf that is 77

EastWind [94]

The distance between the windows is not given. I have searched for this question in other sources and came up with 6.5 ft.

6.5 ft = 78 inches

The width of the bookshelf = 77 inches

Hence the book shelf with fit between the windows and still there will be 78-77 = 1 inch of space remaining

Hence the right option is option C

7 0

3 years ago

Read 2 more answers

Hhelp me pleaseeeeee

svetlana [45]

A. Area = ½b × h

= ½ × 16 × 9

= 72

B. Area = b × h

= 26 × 18

= 468

C. Area = a²

= 11²

= 121

D. Area = ½(a+b) × h

= ½(6+21) × 8

= 108

Hope this helps :)

Please consider marking my answer the brainliest!

4 0

3 years ago

Find the area of the shape:

pshichka [43]

Answer:

(8×6)+2×((14+6)×6)

=48+2×(20×6)

=48+240

=288

Step-by-step explanation:

please mark me as brainliest

3 0

3 years ago