A certificate of deposit whith principal $150 earns 4%annual interest for 2 years

Mathematics

1 answer:

Leokris [45]3 years ago

4 0

Answer:

$162 ( or 162.24 when interest compounded)

Step-by-step explanation:

If 4% is simple interest, $150 after 2 years

150 x (1 + 0.04 x 2) = 150 x 1.08 = 162.00

If it is compound interest

150 x (1 + 0.04)² = 150 x 1.0816 = 162.24

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I'm not sure of my answer I know that you have to multiply diagonally then add or subtract I'm not sure.

Dima020 [189]

-18(1) = -18,right?

4(3) = 12, right?

-18 - 12 = -30

From the looks of it, we had to "Subtract" the outcome of each problem that we went over

You're correct: -30 (option A.) would be your answer

7 0

3 years ago

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.

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