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matrenka [14]
3 years ago
8

If your annual gross income is $62,000 and you have one monthly car payment of $335 and a monthly student loan payment of $225,

what is the maximum house payment you can afford. Consider a standard 28% front-end ratio and a 36% back-end ratio. Also, to complete your calculation, the annual property tax will be $3,600 and the annual homeowner's premium will be $360.
Mathematics
1 answer:
7nadin3 [17]3 years ago
7 0

Answer:

  $970 (limited by the back-end ratio)

Step-by-step explanation:

The front-end ratio limits housing-related expenses to ...

  28% × $62,000 = $17,360

per year. So the amount that can be spent on mortgage debt is ...

  $17,360 -3600 -360 = $13,400 . . . per year

___

The back-end ratio limits the total of all debt to ...

  36% × $62,000 = $22,320

Subtracting payments already being made, we find the allowable additional annual debt to be ...

  $22,320 -12·(335 +225) -3600 -360 = $11,640

This is a lower limit than that required by the front-end ratio. It limits the monthly house payment to ...

  $11,640/12 = $970

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Farmers often sell fruits and vegetables at farmers’ markets during the summer. Each tomato stand at the Bentonville farmers’ ma
olga nikolaevna [1]

Answer:

the probability that all tomatoes are sold is  0.919 (91.9%)

Step-by-step explanation:

since the random variable X= number of tomatoes that are demanded,  is normally distributed we can make the standard random variable Z such that:

Z=(X-μ)/σ = (83 - 125)/30 = -1.4

where μ= expected value of X= mean of X (since X is normally distributed)  , σ=standard deviation of X

then all tomatoes are sold if the demand surpasses 83 tomatos , therefore

P(X>83) = P(Z>-1.4) = 1- P(Z≤-1.4)

from tables of standard normal distribution →P(Z≤-1.4)=0.081 , therefore

P(X>83) = 1- P(Z≤-1.4)  = 1 - 0.081 = 0.919 (91.9%)

thus the probability that all tomatoes are sold is  0.919 (91.9%)

6 0
3 years ago
The lengths of the two sides of a triangle (not necessarily a right triangle) are 1.00 meters and 3.46 meters. The sine of the a
Hoochie [10]

Answer:

0.1228

Step-by-step explanation:

We use sine rule

\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}

where, in any triangle <em>ABC</em>, <em>a</em> is the side opposite ∠A, <em>b</em> is the side opposite ∠B and <em>c</em> is the side opposite ∠C.

Applying this to the question,

\dfrac{1.00}{0.0355} = \dfrac{3.46}{\sin B}

\sin B = 3.46\times0.0355 = 0.12283 \approx 0.1228

7 0
3 years ago
A. Adjacent angles <br> B. Complementary angles <br> C. Supplementary angles <br> D. Vertical angles
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4 0
3 years ago
jester has a piece of wood measuring 1 and 2/3 m.he needs to cut in pieces measuring 3/4 m long.how many pieces of wood did jest
sveticcg [70]

Answer:

2 pieces

Step-by-step explanation:

Given

Length = 1\frac{2}{3}m

Pieces = \frac{3}{4}m

Required

Calculate the number of pieces

To do this, we have to divide the length of the wood by the length of each piece.

Represent this with x

x= \frac{Length}{Pieces}

x= 1\frac{2}{3}/\frac{3}{4}

Convert mixed numbers to improper fraction

x= \frac{5}{3}/\frac{3}{4}

Change division to multiplication

x= \frac{5}{3}*\frac{4}{3}

x= \frac{20}{9}

x = 2.22

<em></em>x = 2<em> </em>

6 0
3 years ago
The function f is defined by f(x)=2.1x−1.7. Use this formula to find the following values of f.
viktelen [127]

f(c + a) = 2.1 c + 2.1 a - 1.7

f(1/3 x - 2/3) = 0.7 x - 3.1

f(x + 2) = 2.1 x + 2.5

f(3c) = 6.3 c - 1.7

Step-by-step explanation:

The function is f(x) = 2.1 x - 1.7

We need to use this formula to find

  • f(c + a)
  • f(1/3x - 2/3)
  • f(x + 2)
  • f(3c)

To solve the problem substitute x by each value in the bracket

∵ f(x) = 2.1 x - 1.7

f(c + a) means substitute x by c + a

∵ x = c + a

∴ f(c + a) = 2.1(c + a) - 1.7

- Multiply the bracket by 2.1

∴ f(c + a) = 2.1 c + 2.1 a - 1.7

∵ f(x) = 2.1 x - 1.7

- f(1/3 x - 2/3) means substitute x by 1/3 x - 2/3

∵ x = 1/3 x - 2/3

∴ f(1/3 x - 2/3) = 2.1(1/3 x - 2/3) - 1.7

- Multiply the bracket by 2.1

∴ f(1/3 x - 2/3) = 0.7 x - 1.4 - 1.7

- Add the like terms

∴ f(1/3 x - 2/3) = 0.7 x - 3.1

∵ f(x) = 2.1 x - 1.7

- f(x + 2) means substitute x by x + 2

∵ x = x + 2

∴ f(x + 2) = 2.1(x + 2) - 1.7

- Multiply the bracket by 2.1

∴ f(x + 2) = 2.1 x + 4.2 - 1.7

- Add the like terms

∴ f(x + 2) = 2.1 x + 2.5

∵ f(x) = 2.1 x - 1.7

- f(3c) means substitute x by 3c

∵ x = 3c

∴ f(3c) = 2.1(3c) - 1.7

- Multiply 2.1 by 3c

∴ f(3c) = 6.3 c - 1.7

Learn more:

You can learn more about the functions in brainly.com/question/628130

#LearnwithBrainly

3 0
3 years ago
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