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Anna11 [10]
3 years ago
10

Will the ball clear the crossbar of the goal post, which is 10 feer off the fround.

Mathematics
1 answer:
Allisa [31]3 years ago
7 0

The problem gives you X, so replace X witht he given vaule and solve for y:


y = -0.1x^2 + 4X

X = 40

y = -0.1(40)^2 +4(40)

y = -0.1(1600) + 160

y = -160 + 160

y = 0


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You purchase a car worth $25077 and make a down payment of $3560. You intend to repay the balance of the car with month end car
zubka84 [21]

Answer:

value of buyout is $4185.74

Step-by-step explanation:

given data

car worth = $25077

down payment = $3560

monthly payment = $336 = 336 × 6 = $2016 per semi annually

time = 5 year  = 10 half yearly

rate = 4.04 %

to find out

value of final buyout

solution

we know here loan amount will be 25077 - 3560 = $21517

and we find present value first by formula that is

present value = \frac{amount(1+r)^t - 1}{r (1+r)^t}

put here t = 10 and r = \frac{4.04}{200}

so

present value = \frac{2016(1+\frac{4.04}{200})^10 - 1}{r (1+\frac{4.04}{200})^10}

present value = 18089.96

so

loan unpaid amount is here

loan unpaid amount = 21517 - 18089.96

loan unpaid amount = $3427.04

so

now we calculate value of buyout

that is express as

amount = principal × (1+r)^{t}

amount = 3427.04 × (1+\frac{4.04}{200})^{10}

amount = 4185.74

so value of buyout is $4185.74

7 0
3 years ago
I have a question on math homework, anybody have an answer?<br> 11.5-3y=-48.5
tatyana61 [14]
Y=17.8 Please let me know if it is correct :)

5 0
3 years ago
Factorise this expression as fully as possible 14t^3 x 6t
kupik [55]
14t^3*6t
= (14*6)*(t^3*t)
= (2*7*2*3)*(t*t*t*t)
= 2*2*3*7*t*t*t*t
6 0
4 years ago
The coordinates of each rectangle ABCD are A (0,2) B (2,4) C (3,3) D (1,1). Find the distance of each side of the rectangle then
EastWind [94]

AB = CD = √8 ≈ 2.8 units

BC = AD = √2 ≈ 1.4 units

Area of the rectangle ABCD = 3.92 units²

Perimeter of the rectangle ABCD = 8.4 units

<h3>How to Find the Area and Perimeter of a Rectangle?</h3>

Given the coordinates of vertices of rectangle ABCD as:

  • A(0,2)
  • B(2,4)
  • C(3,3)
  • D(1,1)

To find the area and perimeter, use the distance formula to find the distance between A and B, and B and C.

Using the distance formula, we have the following:

AB = √[(2−0)² + (4−2)²]

AB = √[(2)² + (2)²]

AB = √8 ≈ 2.8 units

CD = √8 ≈ 2.8 units

BC = √[(2−3)² + (4−3)²]

BC = √[(−1)² + (1)²]

BC = √2 ≈ 1.4 units

AD = √2 ≈ 1.4 units

Area of the rectangle ABCD = (AB)(BC) = (2.8)(1.4) = 3.92 units²

Perimeter of the rectangle ABCD = 2(AB + BC) = 2(2.8 + 1.4) = 8.4 units

Learn more about the area and perimeter of rectangle on:

brainly.com/question/24571594

#SPJ1

5 0
1 year ago
Michael spends an average of $120 per month going out to lunch and dinner. If he can cut that
expeople1 [14]

Answer:

If he spends $120 dollars a month, and he cut's that down to $50 a month, we should create a pattern to visualize the months.

Step-by-step explanation:

120- 50= 70 ($70 saved each month)

Month 1- $70 saved total

Month 2- $140 saved total

Month 3- $210 saved total

Month 4- $280 saved total

Month 5- $350 saved total

Month 6- $420 saved total

It takes 6 months to get 400 saved. We could also divide to get

5.714285, but it would takes 6 months before reaching the goal. :)

6 0
3 years ago
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