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OLga [1]
2 years ago
4

Taylor put $200 into a CD that pays 6% interest, compounded quarterly. According to the rule of 72, approximately how long will

it take for his money to double?
Mathematics
2 answers:
gregori [183]2 years ago
3 0
According to the rule of 72, approximately it will take 3 years for his money to double. The rule of 72 is a formula used for determining the period of time needed to make an investment doubled its value based on its compounding interest rate. The rule of 72 formula is stated<span> as Period of times = 72/compounding interest (Calculation: 72/6= 12 quarter = 3 years).</span>
Doss [256]2 years ago
3 0

Answer:

12 years

Step-by-step explanation:

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Given H(6,7) and I(-7,-6), if point G lies 1/2 of the way along line segment HI, Santiago argues that point G is located at the
irinina [24]

Given the points H(6,7) and I(-7,-6).

If point G lies \frac{1}{2} of the way along line segment HI.

Therefore, we can say that the point G divides the line segment HI in the ratio 1:1.

So, by using the cross section formula we can determine the coordinates of point G.

For the given points say (x_1, y_1) and (x_2, y_2) divided is in the ratio m_1 : m_2, the coordinates are (\frac{m_1x_2+m_2x_1}{m_1+m_2} , \frac{m_1y_2+m_2y_1}{m_1+m_2} )

Coordinates G = (\frac{(1 \times -7)+(1 \times 6)}{2} , \frac{(1 \times -6)+(1 \times 7)}{2})

= (-0.5 , 0.5)

Hence, the coordinates of G are (-0.5 , 0.5).

So, Santiago argues that point G is located at the origin. The point G is located at (-0.5, 0.5). Therefore, he is not correct.

8 0
2 years ago
This pencil cup is made out of plastic. It is 5 inches tall and has a radius of 1.75 inches. How many square inches of plastic w
Dmitry [639]

Answer:

To make the cup 64.57 square inches of plastic were used.

Step-by-step explanation:

A cup has the format of a cylinder with a open top. The surface area of the cup is given by the area of it's base (a circle) and the area of it's walls, wich can be seen as rectangle where the width is the length of the circle at the base and the height is the height of the cylinder. So we have:

area of the base = pi*r^2 = 3.14*(1.75)^2 = 3.14*3.0625 = 9.616 square inches

area of the walls = 2*pi*r*h = 2*3.14*(1.75)*5 = 54.95 square inches

surface area of the cup = area of the base + area of the walls = 9.616 + 54.95

surface area of the cup = 64.57 square inches

To make the cup 64.57 square inches of plastic were used.

3 0
2 years ago
Next 2 numbers for number pattern 0.006 0.06 0.6 6
seraphim [82]
You're just moving 6 up a decimal place each time, so the next 2 numbers in the sequence should be 60 and 600.
7 0
2 years ago
Read 2 more answers
Jenna concludes that (4,9) is the solution to the system of these two equations. which of the following justifies her conclusion
nalin [4]

<u><em>Answer:</em></u>

a. The point (4,9) appears in both tables

<u><em>Explanation:</em></u>

<u>Note:</u> This question can be solved without the need of the tables

<u>A solution of a system of equations</u> is defined as a point (or set of points) that satisfy both equations

<u>This means that,</u> this point should belong to all the equations in the system

Now, a table is used to show a set of points that belong to a certain line

This means that, all vales in the table belong to the line they represent

<u>Since the point (4,9) appears in both tables</u>, therefore, it belongs to both lines and, therefore, is a solution to the system of equations consisting of these two lines

Hope this helps :)

5 0
2 years ago
A 100-square grid has 70 shaded squares. Explain how you could express this model as a fraction, percent, and decimal.
slava [35]
The fraction of squares shaded to total squares is 70/100  or 7/10
With a percent, 70% of all of the squares are shaded
With a decimal, there are 0.7 shaded blocks for every total block, so it is 0.7
Hope this helps!
6 0
2 years ago
Read 2 more answers
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