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2 years ago

A baseball “diamond” is a square with a side length of 90 feet. How far is the throw from

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

7 0

Answer:

127

Step-by-step explanation:

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Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have saved in 30 yea

Vsevolod [243]

$~~~~~~~~~~~~\textit{Future Value of an ordinary annuity}\\ ~~~~~~~~~~~~(\textit{payments at the end of the period}) \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]$

$\begin{cases} A= \begin{array}{llll} \textit{accumulated amount}\\ \end{array}\\ pymnt=\textit{periodic payments}\dotfill &2500\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.1\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &30 \end{cases}$

$A=2500\left[ \cfrac{\left( 1+\frac{0.1}{1} \right)^{1\cdot 30}-1}{\frac{0.1}{1}} \right]\implies A=2500\left[ \cfrac{(1.01)^{30}-1}{0.1} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 411235.06~\hfill$

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1 year ago

A tree 12m high is broken by the wind in such a way that its top touches the ground and makes an angle 60° with the ground. at w

Katena32 [7]

The height of broken part of tree from ground is 5.569m.

Justification:

Let BD is a tree of height 12 m.

Suppose it got bent at a point C and let the part CD take the position CA, meeting the ground at A.

i.e., CD = AC = h m

Broken part makes 60° angle from ground

So, ∠BAC = 60°

Now, height of remaining part of tree = (12 – h)m.

In right angled ∆ABC,

sin 60° = BC/AC

⇒ √3/2 = (12 - h)/h

⇒ √3h = 2(12 – h)

⇒ √3h = 24 – 2h

⇒ √3h + 2h = 24

⇒ h(√3 + 2) = 24

⇒ h(1.732 + 2) = 24

⇒ h(3.732) = 24

⇒ h = 24/3.732 = 6.4308 m

Hence, height of broken tree from ground

⇒ BC = 12 – h

⇒ 12 – 6.4308 = 5.569m

Hence, tree is broken 5.569 m from ground.

Note: See attached picture.

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2 years ago

Find 72% of 850. A 118 B 612 C 238 D 618

Gnom [1K]

Answer:

612

Step-by-step explanation:

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2 years ago

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10/(20-15)=2 hours
20*2=40 miles
15*2+10=40 miles
Glen catch up with Maria after 2 hours at 40 miles

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2 years ago

A fast food restaurant sells between 164 and 328 hamburgers per day. If the company profits $82.00 per 82 hamburgers sold, appro

Ahat [919]

The answer would be $89,790. You take 164+328. To get 492. The you divided 492 by 2. To get 246. This is the average hamburgers made in a day. The you take that time 365. to get how much money is made in a year.

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3 years ago