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Pepsi [2]
3 years ago
8

Mika placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%. How much will she have in the ac

count after 3 years? Round to the nearest dollar.
Mathematics
1 answer:
OleMash [197]3 years ago
6 0

Mika placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%.

How much will she have in the account after 3 years?

1st year 4200 x 1.023 = 4296.60

2nd year 4296.60 x 1.023 = 4395.4218

3rd year 4395.4218  x 1.023 = 4496.5165

Round to the nearest dollar.

$4497

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Licemer1 [7]

Answer:

As the points are collinear, the slope of the line joining

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5 0
3 years ago
Read 2 more answers
what is the y-intercept of the line perpendicular to the line y=-3/4x+5 that includes the point (-3,-3)?​
Deffense [45]

Answer:

1

Step-by-step explanation:

For this question, your friend is the point-slope form.

Point-slope form = y-y_1 = m(x-x_1)

The only variables you replace are m = slope, y1 = y of a given point, and x1 = x of a given point.

First, we need to find the slope that is perpendicular to the equation y=-\frac{3}{4}x+5

An equation that is perpendicular to another equation have to be negative reciprocals (negative inverse) of each other.

If the slope is 3, then the negative reciprocal of 3 is -\frac{1}{3}.

So, since the given slope is -3/4, the negative reciprocal is \frac{4}{3}.

We will use the negative reciprocal as m since we are trying to find the equation of line that includes (-3, -3) and is perpendicular to the other equation.

We will use point slope form using the (-3, -3) points and negative reciprocal as m.

y-y_1 = m(x-x_1)\\y-(-3) = \frac{4}{3} (x-(-3))\\y+3=\frac{4}{3}(x+3)

Now, we need to convert this into slope-intercept form. The reason why we need to do this is because y = mx + b, where b is the y-intercept. To do this, solve for y - or in other words, isolate y..

y+3=\frac{4}{3}(x+3)\\y+3=\frac{4x}{3}+4\\y+3-3=\frac{4x}{3}+4-3\\y=\frac{4}{3}x+1

The y-intercept of the line is 1.

3 0
3 years ago
What two numbers multiply to -120 and add to -2
USPshnik [31]

Hello!

To answer this question we need to find the factors of -120.

The total set (both negative and postive! ) are the following:

  • 1, -120
  • 2, -60
  • 3, -40
  • 4, -30
  • 5, -24
  • 6, -20
  • 8, -15
  • 10, -12
  • 12, -10
  • 15, -8
  • 20, -6
  • 24, -5
  • 30, -4
  • 40, -3
  • 60, -2
  • 120, -1

After looking over all of these factors, we can see that 10 · -12 is equal to not only -120, but when the multiplication sign is replace by addition, it is equal to -2!

Hope this helps.


5 0
3 years ago
Pete is solving for x in the problem to the right. He has decided that these angles are supplementary as 4x+16 is also the measu
Liula [17]
The answer is 764 yards your
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3 0
4 years ago
Determine the values of the variables in the parallelograms below help me please
PolarNik [594]

Answer:

Part 1)

x=-11

m=170\°

Part 2)

x=-5, x=1

m=-10, m=14

Step-by-step explanation:

we know that

In a parallelogram opposite sides and opposite angles are congruent, and consecutive angles are supplementary

Part 1)

<u>Find the value of x</u>

25=-3x-8 ----> opposite sides are congruent

solve for x

25=-3x-8

3x=-8-25

x=-33/3=-11

<u>Find the value of m</u>

(70+(m-60))=180\° ----> consecutive angles are supplementary

solve for m

m=180\°-10\°=170\°

Part 2)

<u>Find the value of x</u>

5=x^{2}+4x ---> opposite sides are congruent

using a graphing tool

see the attached figure N 1  

The solutions are

x=-5, x=1

<u>Find the value of m</u>

(m^{2}-4m)=140\° ---> opposite sides are congruent

solve for m

using a graphing tool

see the attached figure N 2  

The solutions are  

m=-10, m=14

8 0
3 years ago
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