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pishuonlain [190]
3 years ago
12

You have a can that is in the shape of a cylinder. It has a volume of about 1,726 cubic centimeters. The height of the can is 22

centimeter. What is the approximate length of the radius? Use 3.14 for pi
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
8 0

Answer:

5 cm

Step-by-step explanation:

The formula for the volume of a cylinder is

V = πr²h

Data:

V = 1726 cm³

h = 22 cm

Calculation:

1726 = 3.14 × r² × 22

1726 = 69.08r²

Divide each side by 69.08

24.99 = r²

Take the square root of each side

r = 4.999 cm ≈ 5 cm

The approximate radius of the cylinder is 5 cm.

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Businesses deposit large sums of money into bank accountsImagine an account with $10 million dollars in it.
adoni [48]

again, let's assume daily compounding means 365 days per year.

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (10000000)(0.0212)(1)\implies \boxed{I=212000}

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$10000000\\ r=rate\to 2.12\%\to \frac{2.12}{100}\dotfill &0.0212\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{daily, thus 365} \end{array}\dotfill &365\\ t=years\dotfill &1 \end{cases}

A=10000000\left(1+\frac{0.0212}{365}\right)^{365\cdot 1}\implies A\approx 10214256.88 \\\\\\ \underset{\textit{earned interest amount}}{10214256.88~~ - ~~10000000 ~~ \approx ~~ \boxed{214256.88}}

what's their difference?  well

\stackrel{\textit{compounded daily}}{\approx 214256.88}~~ - ~~\stackrel{\textit{simple interest}}{212000}\implies \boxed{2256.88}

7 0
2 years ago
Question 14(1 point)Find the rate of change of Pete's height from 3 to 5 years.17.Time (years) 123 4 15 16Height/in.) 27 35 37 4
kupik [55]

The rate of change of Pete's height from 3 to 5 years can be determined as,

\begin{gathered} \frac{\Delta H}{\Delta t}=\frac{H_5-H_3_{}}{5-3} \\ =\frac{45-37}{2} \\ =\frac{8}{2} \\ =4 \end{gathered}

Thus, the required rate of change from 3 to 5 years is 4 in/year.

5 0
1 year ago
Alguien me ayuda??<br><br><br><br><br><br><br>lo necesito hoy :ccccc ☕​
Brrunno [24]

Answer:

no se entiende la imagen

3 0
3 years ago
Read 2 more answers
(D) How do you write 6<br> 20<br><br> as a percentage?
vagabundo [1.1K]

Answer:

62%

Step-by-step explanation:

10 000 ÷ 100 = 100

620 ÷ 100

= 62%

5 0
2 years ago
If p+q has the value that is exactly 1/3 less than p what is the value of q
solmaris [256]

Answer:

q = - \frac{1}{3} p

Step-by-step explanation:

\frac{1}{3} less than p = \frac{2}{3} p

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3q = - p ( divide both sides by 3 )

q = - \frac{1}{3} p

8 0
3 years ago
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