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Elena-2011 [213]
3 years ago
7

Carl's monthly take-home pay is $2,000 and his monthly rent is $500 if both his monthly take-home pay in his rent increase $500

what percentage of Carl's take-home pay will be used to pay rent
Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

Answer:

20%

Step-by-step explanation:

First, take $2,000, and $500.

Second, add $500 to both of them, according to the question.

Third, find out what percentage of $2,500 is $500.

Fourth, simply divide 2500 by 500, or 500/2500 for a fraction form of it.

Fifth, times the answer by 100, and turn it into a percentage by adding this to it: %


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Which best describes the relationship between the successive terms in the sequence shown?
Alex Ar [27]

Given series is 2.4,-4.8,9.6,-19.2

To find whether it has common difference or common ratio let us find few differences and few ratios of consecutive terms.

Common difference of first 2 terms = 2nd term - first term = -4.8-2.4 = -7.2

Common difference of 2nd and 3rd terms = 3rd term - 2nd term = 9.6-(-4.8) = 14.4

Since those common differences are not equal the given series does not have common difference at all.

To check if it has common ratio or not let us find few ratios of consecutive terms.

Common ratio of first 2 terms = \frac{2nd term}{first term} = \frac{-4.8}{2.4} = -2

Common ratio of 2nd and 3rd terms = \frac{3rd term}{2nd term} = \frac{9.6}{-4.8} = -2.0

So, the given series has common ratio as -2.0

7 0
3 years ago
Read 2 more answers
A poll was conducted by a home mortgage company regarding home ownership in the United States. The company polled 1,488 American
____ [38]

If the sample size is 1488 and confidence interval of 99% then the margin of error is 0.03088.

Given sample size of 1488, percentage of those polled own a home be 69% and confidence level be 99%.

We are required to find the approximate margin of error.

Margin of error is the difference between calculated values and real values.

n=1488

p=0.69

Margin of error=z*\sqrt{p(1-p)/n}

Z score when confidence level is 99%=2.576.

Margin of error=2.576*\sqrt{0.69(1-0.69)/1488}

=2.576*\sqrt{(0.69*0.31)/1488}

=2.576*\sqrt{0.2139/1488}

=2.576*\sqrt{0.0001437}

=2.576*0.01198

=0.03088

Hence if the sample size is 1488 and confidence interval of 99% then the margin of error is 0.03088.

Learn more about margin of error at brainly.com/question/10218601

#SPJ1

3 0
2 years ago
A kitchen makes 2,944 ounces of soup each week. There are 128 ounces in 1 gallon. How many gallons of soup does the kitchen make
Rashid [163]
I calculated its 14 gallons is in two week
1 gall=128
128 x 1st week= 896
128 x 2nd week=1792divid it by 128=14
 mark me as brainlest

8 0
3 years ago
(6t^4-t+1) - (6t^3-4t)
goldenfox [79]

Answer:

= 6 {t}^{4}   - 6 {t}^{3}  + 3t + 1

Step-by-step explanation:

6 {t}^{4}  - t + 1 - 6 {t}^{3}  + 4t \\  = 6 {t}^{4}   - 6 {t}^{3}  + 3t + 1

5 0
3 years ago
Angle x is such that sin x = a + b and cos x = a − b, where a and b are constants.
Mazyrski [523]

Answer:

Step-by-step explanation:

sin x=a+b

cos x=a-b

sin²x+cos²x=(a+b)²+(a-b)²=2a²+2b²

or 2a²+2b²=1

a²+b²=1/2 which is constant for all values of x

(ii)

\frac{\sin x}{\cos x}=\frac{a+b}{a-b}\\\tan x=\frac{a+b}{a-b}=2\\a+b=2a-2b\\b+2b=2a-a\\or a=3b

3 0
3 years ago
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