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iVinArrow [24]
2 years ago
7

A jar of marbles contains 7 blue marbles, 12 yellow marbles, 8 green marbles, and 5 red marbles. Use this information to answer

the following questions. Mark chooses a marble at random from the jar. Without looking at it, he puts it in his pocket then draws another marble out of the jar. What is the probability that Mark chose a red marble on the first draw and red marble on the second
A. 5/248
B. 9/32
C. 5/8
D. 1/7
Mathematics
1 answer:
Andreyy892 years ago
6 0
The correct answer is 9/32
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What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly?  Write your answer rounded to the neare
Butoxors [25]
Answer:
Interest earned = 2713.8

Explanation:
We will solve this problem on two steps:
1- get the final amount after three years
2- get the interest earned by subtracting the initial amount from the final one.

1- getting the final amount after 3 years:
The formula that we will use is as follows:
A = P (1 + r/n)^(nt)
where:
A is the final amount we want to calculate
P is the initial amount = 6300
r is the interest = 0.12
n is the number of compounds per year =12
t is time in years = 3

Substitute to get the final amount:
A = P (1 + r/n)^(nt)
A = 6300 (1 + 0.12/12) ^ (12*3)
A = 9013.8

2- getting the interest earned:
Interest earned = final amount - initial amount
Interest earned = 9013.8 - 6300
Interest earned = 2713.8

Hope this helps :)
7 0
1 year ago
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Janice works at a cell phone company. She wants to make a presentation to her team about the features of a new phone. She makes
Advocard [28]
If 1 inch represents 0.5 centimeter, then 28 inches will represent 28 * 0.5 = 14 centimeters and 15 inches will represent 15 * 0.5 = 7.5 centimeters.

The actual dimensions of the phone is: the length is 14 centimeters and the width is 7.5 centimeters.
8 0
1 year ago
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An elevator went up 15 floors, down 9 floors, up 11 floors and down 19 floors. Find the net change
Slav-nsk [51]
15u + 11u - 9d - 19d = -2d
It went up 26, down 28, a net change of down 2.
3 0
1 year ago
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Which geometric solids would model the tent? O Cone and sphere Cylinder and cone O Pyramid and rectangular prism Triangular pris
joja [24]

Answer:

Triangular prism and rectangular prism

Step-by-step explanation:

shapes

7 0
1 year ago
Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How
Ilya [14]

Consider the coordinate plane:

1. The origin is the point where Sharon and Jacob started - (0,0).

2. North - positive y-direction, south - negetive y-direction.

3. East - positive x-direction, west - negative x-direction.

Then,

  • if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);
  • if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).

The distance between two points with coordinates (x_1,y_1) and (x_2,y_2) can be calculated using formula

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

Therefore, the distance between  Jacob and Sharon is

D=\sqrt{(12-(-4))^2+(-5-3)^2}=\sqrt{16^2+8^2}=\sqrt{256+64}=\sqrt{320}=8\sqrt{5}\approx 11.18\ m.

7 0
2 years ago
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