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worty [1.4K]
3 years ago
13

Alycia created a personal budget for the upcoming month. She received a salary of $2,700 and had various fixed and variable expe

nses. Her employer took out 10% of her salary for taxes. Her fixed expenses (rent and monthly bills) were $1,161. She saved $405 for her daughter's college tuition. The remainder of her money was spent on entertainment and food. What percent of her income was spent on entertainment and food? A. 43% B. 37% C. 32% D. 15%
Mathematics
1 answer:
Luda [366]3 years ago
8 0

Answer:

C. 32%

Step-by-step explanation:

First, you have to determine the amount they spent on entertainment and food:

Salary $2,700

Taxes: 10%: $270

Fixed expenses: $1,161

Savings: $405

$2,700-$270-$1,161-$405= $864

Alycia spent $864 on entertainment and food. Now, you have to find the percent of her income that this amount represents:

($864/$2,700)*100= 32%

According to this, the answer is that the percent of her income that was spent on entertainment and food is 32%.

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An isosceles triangle’s altitude will bisect its base. Which expression could be used to find the area of the isosceles triangle
omeli [17]

Answer:

\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}

Step-by-step explanation:

The length of the base is the distance between the points 4+2i and 10+4i, so

\text{Base}=|10+4i-(4+2i)|=|10+4i-4-2i|=|6+2i|=\sqrt{6^2+2^2}=\\ \\=\sqrt{36+4}=\sqrt{40}

The middle point of the base is placed at point

\dfrac{4+2i+10+4i}{2}=\dfrac{6i+14}{2}=7+3i

The length of the height is the distance between the points 5+9i and 7+3i

\text{Height}=|5+9i-(7+3i)|=|5+9i-7-3i|=|-2+6i|=\sqrt{(-2)^2+6^2}=\\ \\=\sqrt{4+36}=\sqrt{40}

So, the area of the triangle is

A=\dfrac{1}{2}\cdot \text{Base}\cdot \text{Height}=\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}

4 0
3 years ago
A is directly proportional to b, and a = 14 when b = 42. Write a direct
Natali [406]

Answer:

a is to be as b as 1 is to 3 (a:b as 1:3)

Step-by-step explanation:

5 0
2 years ago
René is twice as old as Jim In four years the sum of their ages is 60 how old are they now
Brrunno [24]
R=16
J=32
20+40(which is 20×2)=60
20-4=16
16×2=32
3 0
3 years ago
Lori had 91 apples and Jay had 68 apples how many apples do they have in all? I don't know if I should multiply 68×91
LenaWriter [7]

Answer:

157

Step-by-step explanation:

You don't need to do any multiplication here. It is a fundamental addition problem.

It is given that Lori has got 91 apples and Jay has got 68 of them. We have to find how many apples do they have together.

The correct solution is to add the numbers together:

91+68=157 apples

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3 years ago
Find measure of angle b
nordsb [41]

I cant see the problem

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