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3 years ago

Devon makes $42,720 a year . What is the maximum amount he can afford for a mortgage each month

Mathematics

2 answers:

wlad13 [49]3 years ago

8 0

$3560 is the maximum amount he can afford each month.

Gekata [30.6K]3 years ago

8 0

3,560 is the answerrrrr

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Please help ASAP!!!

slavikrds [6]

Answer:

a) the platform is 110 feet above the ground.

b) It takes 8.69 sec for the rock to hit the ground

Step-by-step explanation:

This situation is modelled by the following function: $f(x) = -5x^2 + 40x + 30\\$

We need to answer the following questions.

a) How high above the ground is the platform?

First we find x using the formula: $x=-\frac{b}{2a}$

we have b = 40 and a = -5

Putting values and finding x

$x=-\frac{b}{2a}\\x=-\frac{40}{2(-5)}\\x=-\frac{40}{-10}\\x=4$

Now putting x=4 in the function to find how high above the ground is the platform

$f(x) = -5x^2 + 40x + 30\\Put\:x=4\\f(4)=-5(4)^2+40(4)+30\\f(4)=-5(16)+160+30\\f(4)=-80+160+30\\f(4)=110$

So, the platform is 110 feet above the ground.

b) How long does it take for the rock to hit the ground? Show all work to receive full credit!

We will factorise the given function $f(x) = -5x^2 + 40x + 30$ to find the time taken to hit the ground.

We can solve the equation using quadratic formula: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

We have a =-5, b=40, c=30

Putting values and finding x

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-40\pm\sqrt{(40)^2-4(-5)(30)}}{2(-5)}\\x=\frac{-40\pm\sqrt{1600+600}}{-10}\\x=\frac{-40\pm\sqrt{2200}}{-10}\\x=\frac{-40\pm46.9}{-10}\\x=\frac{-40+46.9}{-10},x=\frac{-40-46.9}{-10} \\x=-0.69,x=8.69$

So, we get values of x: x = -0.69 and x=8.69

As time cannot be negative, so we take x=8.69

So, It takes 8.69 sec for the rock to hit the ground

3 0

3 years ago

Zoey spent $12 on a video and $25.82 on a poster at the music store.

natita [175]

C I took the test and it was it

4 0

4 years ago

Answer help on this !

Arisa [49]

If the triangles are similar, then the angles are all congruent.

Therefore, we can start by setting the two middle angles equal to each other.

4x + 7 = 5x - 10

7 = x - 10

x = 17

Middle angle = 75

Now that we know our x-value, we can simply plug in x for our other two expressions.

3 * 17 = 51

4(17) - 14 = 54

We can check to make sure that our angle measures are correct by adding them all up and making sure they equal 180.

54 + 51 + 75 = 180

180 = 180

Hope this helps!! :)

8 0

3 years ago

Read 2 more answers

Triangle abc has the following vertices:

Illusion [34]

9514 1404 393

Answer:

Step-by-step explanation:

It is impossible to plot an equilateral triangle on a coordinate grid using integer coordinates. The given triangle may be close, but cannot be an equilateral triangle.

4 0

3 years ago

Solve. 17x^2-18x-24=0.

mestny [16]

Here yhu go x =(18-√19
56)/34=(9-√ 489 )/17= -0.771
RATE AS BRAINLIEST

8 0

3 years ago