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3 years ago

9

Reggie spent 2/5 of his day at a camp exploring nature.if he was at camp for 10 hours,how many hours did he spend exploring natu

re

1 answer:

STALIN [3.7K]3 years ago

3 0

He spends 4 hours exploring nature

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Two numbers add to 251 and the second is 41 bigger then the first. what are the two numbers?

PIT_PIT [208]

$\left\{\begin{array}{ccc}x+y=251\\y=x+41\end{array}\right\\\\substitute:\\\\x+x+41=251\\2x+41=251\ \ \ \ /-41\\2x=210\ \ \ /:2\\x=105\\\\y=105+41=146\\\\Answer:105\ and\ 146.$

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3 years ago

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Perform the operation, Enter your answer in scientific notation.<br> 7 x 10² – 5.5 x 10²

Elenna [48]

Answer:

150 or 15^1

Step-by-step explanation:

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2 years ago

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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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2 years ago

Find the volume of the cone to the nearest whole number. Radius is 2 and height is 4

KonstantinChe [14]

Volume of the cone is 17 cm³

Step-by-step explanation:

Step 1: Volume of a cone = 1/3 πr²h. Find volume of the cone where r = 2 inches and h = 4 cm.

Volume = 1/3 × 3.14 × 2² × 4

= 16.75 cm³ ≈ 17 cm³ (rounding off to nearest whole number)

6 0

3 years ago

an elevator travels 117 feet in 6.5 seconds. what is the elevators speed as a unit rate? explain answer.

IgorLugansk [536]

117/6.5=18
speed= 18 feet per second
Hope it helped!

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3 years ago