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Tcecarenko [31]
4 years ago
14

50pts!!! I need proper help and an easy to understand explanation.

Mathematics
1 answer:
adelina 88 [10]4 years ago
8 0

So since we know that the post is 40 yards away, plug in 40 into the x variable of the equation to solve. If y is greater than 10 when x = 40, then it made it over. If y is less than 10 when x = 40, then it does not make it over. y=-0.03*40^2+1.6*40

Firstly, solve the exponent: y=-0.03*1600+1.6*40

Next, solve the multiplications: y=-48+64

Lastly, solve the addition and your answer will be: y=16

Since the football was 16 ft high, as opposed to the goal post's 10 ft, when it was at the goal post, it had successfully gone over the post. And since 16 ft is 6 ft higher than 10 ft, the football was 6 ft higher than the goal post when it went over.

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Factorise completely<br>x²-7x=12​
Rashid [163]

Answer:

undefined

Step-by-step explanation:

x²-7x=12

we make the equation equal to zero by subtracting 12 from both sides, we have..

x²-7x-12 = 12-12

x²-7x-12= 0

we find the factors of 12 such that when we multiply them we will get -12 and when we add them we will get -7, and those factors are but those values are not possible..

so answer = undefined

6 0
3 years ago
Use the compound interest formulas A=P e^rt to solve the problem given. round answers to the nearest cent.
goblinko [34]

Answer:

a) $20,771.76

b) $20,817.67

c) $20,484.80

d) $20,864.52

Step-by-step explanation:

<u>Compound Interest Formula</u>

\large \text{$ \sf A=P\left(1+\frac{r}{n}\right)^{nt} $}

where:

  • A = final amount
  • P = principal amount
  • r = interest rate (in decimal form)
  • n = number of times interest applied per time period
  • t = number of time periods elapsed

<u>Part (a): semiannually</u>

Given:

  • P = $15,000
  • r = 5.5% = 0.055
  • n = 2
  • t = 6 years

Substitute the given values into the formula and solve for A:

\implies \sf A=15000\left(1+\frac{0.055}{2}\right)^{2 \times 6}

\implies \sf A=15000\left(1.0275}{2}\right)^{12}

\implies \sf A=20771.76

<u>Part (b): quarterly</u>

Given:

  • P = $15,000
  • r = 5.5% = 0.055
  • n = 4
  • t = 6 years

Substitute the given values into the formula and solve for A:

\implies \sf A=15000\left(1+\frac{0.055}{4}\right)^{4 \times 6}

\implies \sf A=15000\left(1.01375}\right)^{24}

\implies \sf A=20817.67

<u>Part (c): monthly</u>

Given:

  • P = $15,000
  • r = 5.5% = 0.055
  • n = 12
  • t = 6 years

Substitute the given values into the formula and solve for A:

\implies \sf A=15000\left(1+\frac{0.055}{12}\right)^{12 \times 6}

\implies \sf A=15000\left(1+\frac{0.055}{12}\right)^{72}

\implies \sf A=20484.80

<u>Continuous Compounding Formula</u>

\large \text{$ \sf A=Pe^{rt} $}

where:

  • A = Final amount
  • P = Principal amount
  • e = Euler's number (constant)
  • r = annual interest rate (in decimal form)
  • t = time (in years)

<u>Part (d): continuous</u>

Given:

  • P = $15,000
  • r = 5.5% = 0.055
  • t = 6 years

Substitute the given values into the formula and solve for A:

\implies \sf A=15000e^{0.055 \times 6}

\implies \sf A=20864.52

Learn more about compound interest here:

brainly.com/question/27747709

brainly.com/question/28004698

4 0
2 years ago
If you buy a stock for $80 per share and sell it for $100 per share, what is the percent increase?
Tasya [4]

I think I might be wrong but try 25% (but like I said probably wrong)

80 / 100 = 1.25

100 - 80 = 20

So, 1.25 x 20 = 25%

3 0
3 years ago
Find the value of this expression if x=-7. X^2+5/x+1
zalisa [80]
The value is -49x+44/x+1
8 0
3 years ago
Obtain the derivative of y=2x^2​
den301095 [7]

Answer:

Answer: 4x

Step-by-step explanation:

7 0
3 years ago
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