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3 years ago

1. Andre earns $4000 a month at his new job. In order to track his spending and saving, he created a monthly

Mathematics

1 answer:

QveST [7]3 years ago

5 0

Answer:

If Andre plans on staying within his budget, he should choose Apartment 1.

Step-by-step explanation:

Apartment 1: $1100 rent + $250 utilities = $1350 Total Monthly

Apartment 2: $1350 rent + $100 utilities = $1450 Total Monthly

Andre can spend up to $1320 on rent & $320 on utilities, totaling at $1640. In this situation, Andre needs to save as much money as possible. Either on one of these apartments stay below the budget for monthly cost, but Apartment 2's rent goes $30 higher than his budget allows. In the end, this makes apartment 1 the best option for rent, utilities, and ultimate cost.

If Andre plans on staying within his budget, he should choose Apartment 1.

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Please solve the following sum or difference identity.

xxTIMURxx [149]

Answer:

$sin(A - B) = \frac{4}{5}$

Step-by-step explanation:

Given:

$sin(A) = \frac{24}{25}$

$sin(B) = -\frac{4}{5}$

Need:

$sin(A - B)$

First, let's look at the identities:

sum: $sin(A + B) = sinAcosB + cosAsinB$

difference: $sin(A - B) = sinAcosB - cosAsinB$

The question asks to find sin(A - B); therefore, we need to use the difference identity.

Based on the given information (value and quadrant), we can draw reference triangles to find the simplified values of A and B.

sin(A) = $\frac{24}{25}$

cos(A) = $\frac{7}{25}$

sin(B) = $-\frac{4}{5}$

cos(B) = $\frac{3}{5}$

Plug these values into the difference identity formula.

$sin(A - B) = sinAcosB - cosAsinB$

$sin(A - B) = (\frac{24}{25})(\frac{3}{5}) - (-\frac{4}{5})(\frac{7}{25})$

Multiply.

$sin(A - B) = (\frac{72}{125}) + (\frac{28}{125})$

Add.

$sin(A - B) = \frac{4}{5}$

This is your answer.

Hope this helps!

6 0

3 years ago

Read 2 more answers

Luis does chores at home to earn extra money. Each week he earns $20. He already has $320 in his savings account, and is trying

Setler [38]

Answer:

30.5 Weeks

Step-by-step explanation:

The phone costs $930, and he already has $320 saved in his bank account so subtract 320 from 930. You will get 610. Then, you take 610 and divide it by 20 because he earns $20 a week. I hope this helped.

8 0

3 years ago

Do the following measurements form a triangle? True or false 24°, 30° , 126°

Aleks04 [339]

Answer:

True

Step-by-step explanation:

The sum of measures of these three angles of any triangle is invariably equal to the straight angle, also expressed as 180 °.

24+30+126=180

6 0

3 years ago

Given f (x) = -4x + 4, solve for x when f (x) = 0

Kazeer [188]

Answer:

x = 1

Step-by-step explanation:

Given:

f(x) = -4x + 4
f(x) = 0

We are asked to solve for x when the function is equal to zero.

We should have: 0 = -4x + 4

Solve

1. Subtract 4 from both sides

0 - 4 = -4x + 4 - 4

-4 = -4x

2. Divide both sides by -4

-4 ÷ -4 = -4x ÷ 4

1 = x

6 0

2 years ago

What time is it when the small hand is in between the 8 and 9 and when the big hand is at the 6?

Finger [1]

The time would be 8:30

3 0

3 years ago