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aliya0001 [1]
2 years ago
15

The Todd family plans to start a small business. Mr. Todd borrows $10,000 from the blank at an annual interest rate 8%for 36 mon

ths what's his interest he will pay on his loan
Mathematics
1 answer:
Ede4ka [16]2 years ago
5 0

Answer: They will end up paying $2,400.

Step-by-step explanation:

Since the annual interest rate is 8% of $10,000, take 8% of 10,000 by multiplying these numbers. This gives you $800.

This is only the annual interest rate, the Todd family's loan and interest isn't paid until 36 months have passed. Since 36 months is equal to 3 years, we can multiply the annual rate by 3. (800*3)

The Todd family will pay $2,400 in interest by the end of the period.

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She needs a score of 89 for it to be an average of 91.00
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3 years ago
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How do I solve this?
bulgar [2K]

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5 0
3 years ago
Find the volume and surface area of the composite figure. Give your answer in terms of π.
irakobra [83]

Answer:

V = 240π cm^3 , S= 168π cm^2

Step-by-step explanation:

The given figure is a combination of hemi-sphere and a cone

<u>Volume:</u>

For volume

r = 6 cm

h = 8 cm

Volume\ of\ cone = \frac{1}{3}\pi r^2h\\= \frac{1}{3}\pi (6)^2*8\\=\frac{1}{3}\pi *36*8\\=\frac{288}{3}\pi\\=96\pi cm^3 \\\\Volume\ of\ hemisphere = \frac{2}{3}\pi r^3\\=\frac{2}{3}*\pi * (6)^3\\=\frac{2}{3}*\pi *216\\=\frac{432}{3}\\=144\pi cm^3 \\\\Total\ Volume= Volume\ of\ cone + Volume\ of\ hemisphere\\= 96\pi +144\pi \\=240\pi cm^3

<u>Surface Area:</u>

For this particular figure we have to consider the lateral area of the cone shape and surface area of the hemisphere

We have to find the lateral height

l = \sqrt{r^2+h^2}\\ l = \sqrt{(6)^2+(8)^2} \\l= \sqrt{36+64}\\ l = \sqrt{100}\\l = 10cm\\\\Surface\ area\ of\ cone = \pi rl\\= \pi (6)(10)\\=\pi *60\\=60 \pi\ cm^2\\\\Surface\ area\ of\ hemisphere = 2\pi r^2\\= 2 \pi * (6)\\= 2 \pi *36\\= 72 \pi\ cm^2\\\\Total\ surface\ Area = Surface\ area\ of\ cone + Surface\ area\ of \ hemisphere\\= 60 \pi + 72 \pi\\=132 \pi\ cm^2

Hence the first option is correct ..

3 0
2 years ago
The exponent indicates how many times the ( blank) is used as a factor.
stepladder [879]
Base number, like in the equation 4², 4 is the base number
8 0
3 years ago
5/6-1/8 Solve by finding a common denominator<br><br> A)30/48<br> B)34/48<br> C)38/48<br> D)42/48
GrogVix [38]

Answer:

  B)  34/48

Step-by-step explanation:

The easiest common denominator to find is the product of the denominators you have.

__

The difference is ...

  \dfrac{5}{6}-\dfrac{1}{8}=\dfrac{5}{6}\cdot\dfrac{8}{8}-\dfrac{1}{8}\cdot\dfrac{6}{6}\\\\=\dfrac{40-6}{48}=\boxed{\dfrac{34}{48}}

__

<em>Additional comment</em>

The difference numerator and denominator have a common factor of 2, so can be reduced to 17/24. The denominator 24 could have been used as the common denominator from the start.

  5/6 -1/8 = 20/24 -3/24 = 17/24 . . . . reduced result

__

Using the <em>least common denominator</em> does not always result in a reduced sum or difference. If some other denominator is used (as here), then you can be assured that the result will need to be reduced to get to lowest terms.

8 0
2 years ago
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