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Viktor [21]
2 years ago
9

Help PLEASE!!!!!!!!!!!!!!!

Mathematics
1 answer:
melomori [17]2 years ago
6 0

Answer:

1) The graph does represent a function, because it passes the vertical line test.

Step-by-step explanation:

The vertical line test goes over the graph making sure there aren't 2 points together on the same line vertically. Because this passes the vertical line test, meaning there are no points repeating up and down, it is a function.

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How much money should be deposited today in an account that earns 6% compounded monthly so that it will accumulate to $1000000 (
aleksandr82 [10.1K]

Answer:

The principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

Step-by-step explanation:

Given

  • Accrued Amount A = $1000000
  • Interest rate r = 6% = 0.06
  • Time period t = 45 years
  • Compounded monthly n = 12

To determine:

  • Principle amount P = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

P\:=\frac{A}{\left(1\:+\:\frac{r}{n}\right)^{nt}}

substituting A = 1000000, r =  0.06, t = 45, and n = 12

P\:=\frac{1000000}{\left(1\:+\:\frac{0.06}{12}\right)^{12\cdot 45}}\:

    =\frac{1000000}{1.005^{540}}

P = 67659.17 $

Therefore, the principal investment required to get  a total amount of $ 1,000,000.00  from compound interest at a rate of 6% per year  compounded 12 times per year  over 45 years  is $ 67,659.17.

7 0
3 years ago
Name the coordinates for the reflection. Reflect point (4, -1) over the x-axis.
inysia [295]

Answer:

i just took the test its (4,1)

Step-by-step explanation:

6 0
3 years ago
The graph below shows the length of Jutta's hair over a 6 month period. Each point represents a measurement at the beginning of
cestrela7 [59]
Her hair grew 3.6 inches between the beginning of March and the beginning of June
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Sam paid $50 for her new skateboard. In addition, she paid $3.50 in taxes. What was the tax rate on Sam's purchase?
navik [9.2K]

Answer: $53.50 ?

Step-by-step explanation:

8 0
2 years ago
Find the Area of the figure below, composed of a rectangle and a semicircle.
Mamont248 [21]

Answer:

68.1 units²

Step-by-step explanation:

Start by finding the area of the rectangle...

Area=lw\\Area=6*9\\Area=54

Then, find the area of the semicircle...

Radius=\frac{1}{2}*Diameter=\frac{1}{2}*6=3

Area=\frac{1}{2}\pi r^2\\Area=\frac{1}{2}\pi 3^2\\Area=\frac{1}{2}\pi 9\\Area=\frac{9}{2}\ pi\\Area\approx14.1

Now, add the two to get...

54+14.1=68.1

3 0
2 years ago
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