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stiks02 [169]
4 years ago
5

Margo borrows $600, agreeing to pay it back with 4% annual interest after 18 months. How much interest will she pay?

Mathematics
1 answer:
Nastasia [14]4 years ago
3 0
To find the simple interest, we multiply 600 × 0.04 × 1.5 to get that:

The interest is: $36.00
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Answer: 1 is the greatest number that 33 and 40 divides into.

Step-by-step explanation:

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Find the ratio of the volume of one sphere to the volume of the right cylinder
yarga [219]

Answer:

B


Step-by-step explanation:

<em>Let r be the radius of one sphere.</em>

  • Volume of sphere is V=\frac{4}{3}\pi r^3

Since radius is r,  the height of the cylinder will be 4r

Also, the cylinder has the same radius as the sphere: r


  • Volume of Cylinder is V=\pi r^2 h

Plugging in the values we get: V=\pi (r)^{2}(4r)=4\pi r^3


<u>Ratio of volume of 1 sphere to volume of cylinder is</u>:

\frac{\frac{4}{3}\pi r^3}{4\pi r^3}=\frac{\frac{4}{3}}{4}=\frac{4}{3}*\frac{1}{4}=\frac{1}{3}

The ratio is 1:3

Answer choice B is right.

5 0
3 years ago
After a dilation with center (0,0) the image of DB is D’B’ if DB=6 and D’B’=2 the scale factor of dilation is what ?
bezimeni [28]

Answer:

scale factor = \frac{1}{3}

Step-by-step explanation:

the scale factor is the ratio of corrresponding sides. image to original.

scale factor = \frac{D'B'}{DB} = \frac{2}{6} = \frac{1}{3}

7 0
2 years ago
On a 10-item test, three students in Professor Hsin's advanced chemistry seminar received scores of 2, 5, and 8, respectively. F
Inessa [10]

Answer:

For this distribution of test scores, the standard deviation is equal to the square root of 9

D) 9

Step-by-step explanation:

We need to know the standard deviation formula:

S=\sqrt{\frac{sum(x-Am)^2}{n-1} } (1)

Where:

S: Standard deviation

sum: Summation

x: Sample values

Am: Arithmetic mean

n:   Number of terms, in this case 3

Now, we need to know the arithmetic mean of the sample values: 2, 5 and 8

Am=\frac{2+5+8}{3} = 5

To know the standard deviation we need to have the summation of each term minus the arithmetic mean squared.

(x-Am)^2 of each term:

(2-5)^2=9\\(5-5)^2=0\\(8-5)^2=9

Now, we can find the standard deviation:

S=\sqrt{\frac{9+0+9}{3-1} } \\S=\sqrt{\frac{18}{2} } \\S=\sqrt{9}

The standard deviation is equal to the square root of 9

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Step-by-step explanation:

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