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3 years ago

Sydawna has two part-time jobs. Her earnings for one week are represented by the equation: E = 9.25g + 10.50t

Mathematics

1 answer:

Iteru [2.4K]3 years ago

4 0

Answer:

9 hours

Step-by-step explanation:

Given the equation:

E = 9.25g + 10.50t

E - weekly total, g- number of hours at gas station, t- number of hours at toy store.

Substitute given values into equation and solve for the missing one:

219.75 = 9.25g + 10.5*13
219.75 = 9.25g + 136.5
9.25g = 219.75 - 136.5
9.25g = 83.25
g = 83.25/9.25
g = 9

Sydawna works 9 hours at the gas station

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In rectangle MNOP, MO = 4x - 10 and NP = 2x + 4. What is the length of a diagonal?

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From the rectangle, M O = NP

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Rhonda wants to take out a 30-year, $280,000 loan with a 4.4% APR. She is considering purchasing 2 points, which will decrease h

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Given Information:

Loan amount = $280,000

Annual Percentage Rate = APR = 4.4% = 0.044

Number of years = 30

Required Information:

Monthly payment with points = ?

Monthly payment without points = ?

Answer:

Monthly payment with points = $1,361

Monthly payment without points = $1,402.13

Step-by-step explanation:

The monthly payment can be found using,

$MP = P\times \frac{r\times (1+r)^{n}}{(1+r)^{n} - 1}$

P is the loan amount.

Where interest rate r is given by

$r = \frac{APR}{12}$

Total number of payments n are given by

$n = 30\times12 = 360$

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Rhonda is considering purchasing 2 points and each decreases APR by 0.125%

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and the corresponding interest rate r is

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$MP =280,000\times \frac{0.003458\times (1+0.003458)^{360}}{(1+0.003458)^{360} - 1}\\\\MP =280,000\times 0.0048608 \\\\MP = \$ 1,361$

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Interest rate r is,

$r = \frac{APR}{12} \\\\r = \frac{4.4}{12} \\\\r = 0.3667\% \\\\r = 0.003667$

Monthly payment is,

$MP =280,000\times \frac{0.003667\times (1+0.003667)^{360}}{(1+0.003667)^{360} - 1}\\\\MP =280,000\times 0.0050076 \\\\MP = \$ 1,402.13$

So monthly payment with points is $1,361 and monthly payment without points is $1,402.13

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