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erastovalidia [21]
3 years ago
8

While playing basketball this weekend Frank shoots an airball. The height H in feet of the ball is given by H equals -16t^2 + 32

t + 8. How long will it take the prey to strike the ground? What is the maximum height of the ball?
plz I need help ​
Mathematics
1 answer:
Korvikt [17]3 years ago
6 0

Answer:

Step-by-step explanation:

prey? who's attacking?

You just want to find t when H=0. So, solve

-16t^2 + 32t + 8 = 0

t = 2.22

max height is at t = -b/2a = 1

H(1) = 24

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We have an inscribed angle here. Angle YXZ is an inscribed angle.

Angle YXZ can also be expressed as simply angle x but I will use angle YXZ.

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3 years ago
Suppose you'd like to save enough money to pay cash for your next car. The goal is to save an extra $28,000 over the next 6 year
Anna35 [415]

Given:

• Amount to save, A = $28,000

,

• Time, t = 6 years

,

• Interest rate, r = 5.3% ==> 0.053

,

• Number of times compounded = quarterly = 4 times

Let's find the amount that must be deposited into the account quarterly.

Apply the formula:

FV=P(\frac{(1+\frac{r}{n})^{nt}-1}{\frac{r}{n}})

Where:

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Thus, we have:

28000=P(\frac{(1+\frac{0.053}{4})^{4\times6}-1)}{\frac{0.053}{4}}

Let's solve for P.

We have:

\begin{gathered} 28000=P(\frac{(1+0.01325)^{24}-1}{0.01325}) \\  \\ 28000=P(\frac{(1.01325)^{24}-1)^{}}{0.01325}) \\  \\ 28000=P(\frac{1.371509114-1}{0.01325}) \\  \\ 28000=P(\frac{0.371509114}{0.01325}) \end{gathered}

Solving further:

28000=P(28.0384237)

Divide both sides by 28.0384237:

\begin{gathered} \frac{28000}{28.0384237}=\frac{P(28.0384237)}{28.0384237} \\  \\ 998.6=P \\  \\ P=998.6 \end{gathered}

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ANSWER:

$998.60

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