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mel-nik [20]
3 years ago
15

Suppose a family has a gross annual income of ​$39,600.

Mathematics
1 answer:
Natalka [10]3 years ago
8 0
According to financial advisers,
<span>* mortgage payment should be at most </span><span>28% of your gross monthly income
</span><span>* total monthly debt should be at most </span><span>36% of your gross monthly income.  Total monthly debts include </span><span>mortgage payments, car payments, credit card bills, student loans, and medical debt.\</span>

<span>gross annual income: 39,600</span>

gross monthly income: 39,600 / 12 = 3,300

a) maximum amount for monthly mortgage payment: 3,300 x 28% = 924

b) maximum amount for total credit obligations: 3,300 x 36% = 1,188

c) mortgage: 924 x 70% = 646.80 actual mortgage

1,188 - 646.80 = 541.20 maximum amount they could spend each month for all other debts.

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</span>

<span>
</span>

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Find an equation in standard form for the hyperbola with vertices at (0, ±3) and foci at (0, ±7)
Nitella [24]

The equation of a hyperbola is:

(x – h)^2 / a^2 - (y – k)^2 / b^2 = 1

 

So what we have to do is to look for the values of the variables:

<span>For the given hyperbola : center (h, k) = (0, 0)
a = 3(distance from center to vertices)
a^2 = 9</span>

<span>
c = 7 (distance from center to vertices; given from the foci)
c^2 = 49</span>

 

<span>By the hypotenuse formula:
c^2 = a^2 + b^2
b^2 = c^2 - a^2 </span>

<span>b^2 =  49 – 9</span>

<span>b^2  = 40

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Therefore the equation of the hyperbola is:

<span>(x^2 / 9) – (y^2 / 40) = 1</span>

5 0
3 years ago
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Multiply the following polynomials, then place the answer in the proper location on the grid. Write the answer in descending pow
shutvik [7]

Answer:

a^3-125

Step-by-step explanation:

(a-5)(a^2+5a+25)

a^3+5a^2+25a-5a^2-25a-125

a^3+5a^2-5a^2+25a-25a-125

a^3-125

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kykrilka [37]

Answer:

1/4

Step-by-step explanation:

You can set up ratios or fractions for the matching sides.

A/B

1/4 = 1/4

1.1/ 4/4= 1/4

1.5/6 = 1/4

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Mai has to decide between two cafeteria meal plans. Under plan A, each meal cost $2.50. Under plan B, one month of meals cost $3
BaLLatris [955]

Answer:

If he eats more then 12 lunches in a month he should take Plan B, if he eats less then 12 lunches a month he should take Plan A.

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2.5x12=30

If he is on Plan A and buys 13 lunches it would cost more money then to be on Plan B.  If he buys less then it would cost him less money to be on Plan A since he would be paying under $30.

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