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Lisa [10]
3 years ago
7

The circle graph shows how a family spends its annual income. If

Mathematics
1 answer:
raketka [301]3 years ago
7 0

  <span>If 18,600 is 31% of X then X x .31 = 18,600 

Then solve for X 

18,600 / .31 = 60,000 

Then check your answer: 

31% of 60,000 is 60,000 x .31 = 18,600</span>
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Factor 2x^3+7x^2-3x-18 completely, given that x+2 is a factor
8090 [49]
<h2>Answer:</h2>

the other factors are: (x+3) and (2x−3)

Step-by-step explanation:

7 0
3 years ago
Explain why the numerical expression 4 less than 20 is written as 20-4 and not 4-20
Phantasy [73]
When converting English phrases into mathematical expressions/equations, we do things from left to right. That is why it's 4 - 20 instead of 20 - 4.

This rule is applied to division as well.
8 0
3 years ago
Create a proportion using the form = to represent the following word problem.
Anna11 [10]
Answer :
x = 53.85

Step by step explanation:
If 78% of x (some numbers) is equal to 42, then we must set this as an equation to find it.

1) Rewriting 78% as a fraction and considering that when we say 78% of some number (x) we mean a product.
78% = 78/100 ➡️ 78/100x = 42

2) Then we can go on :
100 * 78/100x = 42 * 100
78x = 4200
78x/78 = 4200/78 ➡️ x = 53.85

3) Alternatively, simply dividing 42 by 0.78 (78%) would come to the same result :

42/0.78 = 53.85
4 0
2 years ago
Read 2 more answers
Determine the radius of convergence of the following power series. Then test the endpoints to determine the interval of converge
tresset_1 [31]

Answer:

Radius of the convergence is R = \frac{1}{21}

and,

The Interval of convergence is -\frac{1}{21}

Step-by-step explanation:

Given function : Σ(21x)^k

Now,

Using the ratio test, we have

R = \lim_{n \to \infty} |\frac{21x^{k+1}}{21x^{k}}|

or

R = \lim_{n \to \infty} |\frac{21x^{k}\times21x^{1}}{21x^{k}}|

or

R = \lim_{n \to \infty} |21x^{1}|

now,

for convergence R|x| < 1

Therefore,

\lim_{n \to \infty} |21x^{1}| < 1

or

-\frac{1}{21}

and,

Radius of the convergence is R = \frac{1}{21}

and,

The Interval of convergence is -\frac{1}{21}

8 0
3 years ago
Maria has an annual income of
Temka [501]

Answer:

17,810.58

Step-by-step explanation:

A = $ 17,810.58

A = P + I where

P (principal) = $ 10,000.00

I (interest) = $ 7,810.58

3 0
3 years ago
Read 2 more answers
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