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3 years ago

A right cylinder with radius 4 cm and height 3 cm

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

5 0

Answer:

Step-by-step explanation:

$V=\pi r^2h=\pi *4^2*3\\=150.79645cm^3\\A=2\pi rh+2\pi r^2=2*\pi *4*3+2*\pi *4^2\\=175.93cm^2$

I put both volume and area

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If x -1/7,evaluate x²+1/x²

SCORPION-xisa [38]

Answer:

$given \: x = - \frac{1}{7}$

$x {}^{2} + \frac{1}{x {}^{2} }$

$( - \frac{1}{7} ) {}^{2} + \frac{1}{ ( - \frac{1}{7} ) {}^{2} }$

$\frac{1}{49} + \frac{1}{ \frac{1}{49} }$

$\frac{1}{49} + \frac{1 \times 49}{1}$

$\frac{1}{49} + 49$

$\frac{2402}{49} \: or \: 49.02$

6 0

3 years ago

A bank advertises that it compounds money quarterly and that it will take Double your money in 10 years. what is the interest-ra

S_A_V [24]

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

Step-by-step explanation:

The given is,

Compounds money quarterly

Double your money in 10 years

Step:1

Formula to calculate future investment with compounded quarterly,

$A =P(1+\frac{r}{n} )^{nt}$ ...............................(1)

Where, A - Future amount

P - Initial investment\

r - Rate of interest

n - No. of compounding in a year

t - No. of years

Step:2

Let, P = X

A = 2X ( Double your money )

From given, n - 4 ( for compounding quarterly )

t - 10 years

From equation (1)

$2X =X(1+\frac{r}{4} )^{(4)(10)}$

$\frac{2X}{X} =(1+\frac{r}{4} )^{(4)(10)}$

$2 =(1+\frac{r}{4} )^{40}$

Take root $40^{th}$ root on both side,

$\sqrt[40]{2} = (1+\frac{r}{4} )$

$1.017479692 = (\frac{4+r}{4} )$

$(1.017479692)(4) = (r+4)$

$4.06992=(r+4)$

$r = 4.06992 -4$

$r =( 0.06992)(100)$

r = 6.992 %

Result:

The interest rate is 6.992%, if a bank advertises that it compounds money quarterly and that it will take Double your money in 10 years.

3 0

3 years ago

A circular running track is 1/2 mile long. Elena runs on this track, completing each lap in 1/10 of an

fomenos

The answer might be wrong but

3 0

3 years ago

Read 2 more answers

Item 15

blsea [12.9K]

The right question is that the lowest altitute is 3^8 feet

You are told that the highest altitude is 3 times the lowest altitude =>

highest altitude = 3 * lowest altitude = 3 * 3^8 feet.

Now you use the ruel of mutiplication of powers with the same base: copy the base and sum the exponents => 3 * 3^8 = 3 ^(1+8) = 3^9.

Note: remember that 3 = 3^1.

Answer: 3^9 feet

8 0

3 years ago

A large corporation starts at time t = 0 to invest part of its receipts continuously at a rate of P dollars per year in a fund f

Andrews [41]

Answer:

$A = \frac{P}{r}\left( e^{rt} -1 \right)$

Step-by-step explanation:

This is <em>a separable differential equation</em>. Rearranging terms in the equation gives

$\frac{dA}{rA+P} = dt$

Integration on both sides gives

$\int \frac{dA}{rA+P} = \int dt$

where $c$ is a constant of integration.

The steps for solving the integral on the right hand side are presented below.

$\int \frac{dA}{rA+P} = \begin{vmatrix} rA+P = m \implies rdA = dm\end{vmatrix} \\\\\phantom{\int \frac{dA}{rA+P} } = \int \frac{1}{m} \frac{1}{r} \, dm \\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \int \frac{1}{m} \, dm\\\\\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |m| + c \\\\&\phantom{\int \frac{dA}{rA+P} } = \frac{1}{r} \ln |rA+P| +c$