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mr_godi [17]
1 year ago
15

The​ Adeeva's gross monthly income is ​$5600. They have 18 remaining payments of $ 360 on a new car. They are applying for a 15​

-year, ​$142 comma 000 mortgage at 7.5​%. The taxes and insurance on the house are ​$270 per month. The bank will only approve a loan that has a total monthly mortgage payment of​ principal, interest, property​ taxes, and​ homeowners' insurance that is less than or equal to​ 28% of their adjusted monthly income. What is 28% of Adevas income
Mathematics
1 answer:
olga55 [171]1 year ago
5 0

Answer:

$1,467.20

Step-by-step explanation:

Adjusted monthly income is the gross income minus any payments made every month. 5600 - 360 = 5240. To get 28% of her adjusted income multiply 5240 X.28 =1467.20

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I rent a gym for $150.00 for 30 students. Another time I rent the gym for $270.00 for 70 students. I need to find a fixed rate.
masha68 [24]

Answer: y = 3x + 60

<u>Step-by-step explanation:</u>

Set up two equations and solve the system:

 270 = 70x + b

- <u>(150 = 30x + b)</u>

  120 = 40x

    3   =  x

Input "x" into one of the equations and solve for "b":

150 = 30x + b

150 = 30(3) + b

150 = 90 + b

60 = b


Equation: y = 3x + 60

This means that there is a flat fee of $60 plus a rate of $3 per student


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2 years ago
Which graph could represent a car that begins by increasing its speed, then travels at a constant speed, and then decreases its
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The graph would almost look like this

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During the 2015-16 NBA season, J.J. Redick of the Los Angeles Clippers had a free throw shooting percentage of 0.901 . Assume th
ser-zykov [4K]

Answer: 0.5898

Step-by-step explanation:

Given :  J.J. Redick of the Los Angeles Clippers had a free throw shooting percentage of 0.901 .

We assume that,

The probability that .J. Redick makes any given free throw =0.901  (1)

Free throws are independent.

So it is a binomial distribution .

Using binomial probability formula, the probability of getting success in x trials :

P(X=x)^nC_xp^x(1-p)^{n-x}

, where n= total trials

p= probability of getting in each trial.

Let x be binomial variable that represents the number of a=makes.

n= 14

p= 0.901     (from (1))

The probability that he makes at least 13 of them will be :-

P(x\geq13)=P(x=13)+P(x=14)

=^{14}C_{13}(0.901)^{13}(1-0.901)^1+^{14}C_{14}(0.901)^{14}(1-0.901)^0\\\\=(14)(0.901)^{13}(0.099)+(1)(0.901)^{14}\ \ [\because\ ^nC_n=1\ \&\ ^nC_{n-1}=n ]\\\\\approx0.3574+0.2324=0.5898

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2 years ago
If m□ebd=4x-8 and m□ebc=5x+20,find the value of x and m□ebc
RoseWind [281]

m□ebd=4 x-8 and m□ebc=5 x+20

This is solvable only if e b is the initial side and b d and b c lies on opposite side of each other and lies on a line i.e c,b,d are Collinear.

∠ebd and ∠ebc will form a linear pair.The meaning of linear pair is that angles forming on one side of a straight line through a common vertex which are adjacent is 180°.

i.e

∠ ebd + ∠ebc = 180°

4 x- 8 + 5x + 20= 180°

adding like terms

⇒ 9 x +12 =180°

⇒ 9 x = 180° - 12

⇒ 9 x = 168°

⇒ x =( 168/9)°=(56/3)°

now  m□ebc =5 x +20

       = 5 × 56/3 + 20

       = 280/3 + 20

      =340/3

m□ebc=( 340/3)°

So, solution set is x =(56/3)° and  m□ebc =(340/3)°

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The answer is 1/2...........

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