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aksik [14]
2 years ago
15

Can someone help me with this math homework please!

Mathematics
2 answers:
bogdanovich [222]2 years ago
6 0

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

h(10) \text{-  the altitude of the hot air balloon after 10 minutes.}\\\\\boxed{h(10)=60}

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

  • As described in the question, the function h(t) models the total altitude of a hot air balloon over time.
  • 't' represents the number of minutes that would be given.
  • h(10) would be the total altitude over 10 minutes time.
  • To solve for the value, we would replace 't' with 10 and then evaluate.

⸻⸻⸻⸻

\boxed{\text{Evaluating the function...}}\\\\h(t) = 210 - 15t; \text{ } h(10)\\-------------\\\rightarrow h(10) = 210 - 15(10)\\\\\rightarrow h(10)=210 - 150\\\\\rightarrow \boxed{h(10) = 60}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

scZoUnD [109]2 years ago
4 0

  • Here, t represents time, which is the input of the function, so we know that 10 is the time in minutes.
  • h(t) represents the altitude, which is the output of the function after time, t.

  • So, we need to substitute 10 into 210 -15t in place of t.

  • On simplifying 210 -15(10), we get that 60 is the altitude in feet. So, after 10 minutes, the hot air balloon is at 60 feet.
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,

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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}

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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}

Therefore, the amount that must be deposited quarterly into the account is $998.60

ANSWER:

$998.60

8 0
1 year ago
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