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3 years ago

How much of the circle is shaded? Write your answer as a fraction in simplest form.

Mathematics

1 answer:

Stels [109]3 years ago

8 0

Answer:

8/21

Step-by-step explanation:

Add up the fraction that is not shaded

2/7 + 1/3

Get a common denominator of 21

2/7 *3/3 + 1/3 *7/7

6/21 + 7/21

13/21

The entire circle is 21/21

Subtract the unshaded from the entire circle to get the shaded

21/21 -13/21

8/21

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The length of a rectangle is 4 times the width. The rectangle width is 8 m what is the area of the rectangle

PIT_PIT [208]

Answer:

Step-by-step explanation:

8 x 4=32

area = length x width

6 0

3 years ago

PLS HELP ME... Give five ordered pairs on the graph of y = -0.5x.

goblinko [34]

Answer:

(0,0) (-2,1) (-4,2) (-6,3) (-8,4)

Step-by-step explanation:

Hope this helps!

6 0

3 years ago

Kristen invests $ 5745 in a bank. The bank 6.5% interest compounded monthly. How long must she leave the money in the bank for i

podryga [215]

Answer:

1. 10.7 years

2. 17.0 years

3. 2nd option

Step-by-step explanation:

Use formula for compounded interest

$A=P\cdot \left(1+\dfrac{r}{n}\right)^{nt},$

where

A is final value, P is initial value, r is interest rate (as decimal), n is number of periods and t is number of years.

In your case,

1. P=$5745, A=2P=$11490, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$11490=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},\\ \\2=(1.0054)^{12t},\\ \\12t=\log_{1.0054}2,\\ \\t=\dfrac{1}{12}\log_ {1.0054}2\approx 10.7\ years.$

2. P=$5745, A=3P=$17235, n=12 (compounded monthly), r=0.065 (6.5%) and t is unknown. Then

$17235=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12t},$

$3=(1.0054)^{12t},$

$12t=\log_{1.0054}3,$

$t=\dfrac{1}{12}\log_{1.0054}3\approx 17.0\ years.$

3. 1 choice: P=$5745, n=12 (compounded monthly), r=0.065 (6.5%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.065}{12}\right)^{12\cdot 5},\\ \\A=5745\cdot (1.0054)^{60}\approx \$7936.39.$

2 choice: P=$5745, n=4 (compounded monthly), r=0.0675 (6.75%), t=5 years and A is unknown. Then

$A=5745\cdot \left(1+\dfrac{0.0675}{4}\right)^{4\cdot 5},\\ \\A=5745\cdot (1.0169)^{20}\approx \$8032.58.$

The best will be 2nd option, because $8032.58>$7936.39

5 0

3 years ago

Read 2 more answers

the population of a country double every 10 years from 1950 to 1980.what was the percentage increase in population during this t

fredd [130]

700% increase.

Step-by-step explanation:

The duration was 3 decades, or 30 years. The population starts at 100%, then doubles to 200% (decade 1), then 400% (decade 2), then 800% (decade 3).

800% - 100% = 700%

3 0

3 years ago

6870000000000000 scientific notation

hjlf

Answer:

6.87 x 10^15

Step-by-step explanation:

6.87 * 10^15 = 6870000000000000

Hope this helps :)

P.S. Message me if this is wrong

P.P.S Hope you have a great day!

8 0

2 years ago