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2 years ago

13

Square root of 9 multiplied by square root of 180

2 answers:

grin007 [14]2 years ago

5 0

Square root of 9 is 3 square root of 180 is 13.416roundes 3x13.416 is 40.248

slega [8]2 years ago

3 0

Answer:

18√5

Step-by-step explanation:

√9×√180

from √9 we get 3 cause 3² is 9.

from 180 we get 6√5 because √36×5 is √180.

we took 36 out because it gives us a whole number if we square root it.

So √36×5 is 6√5 , because the square root of 36 is 6

then we multiply 3 and 6√5.

3×6 is 18 so we put 18 and put the √5 behind it.

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The cost per person to rent a mountain cabin is inversely proportional (varies inversely) to the number of people who share the

KengaRu [80]

First things first, we have to find the number of people who share a room when there is 5 people to find how much the room would cost.
First multiply 36 by 5.
36 x 5 = 180
Now that we know that the total amount of the room costs 180 we need to divide that by 8 to see how much each person would end up paying if 8 people shared a room.
180 / 8 = 22.50
So the amount each person would pay is $22.50 if 8 people shared a room.

5 0

3 years ago

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Fiesta28 [93]

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4 0

2 years ago

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Arjun has to pack 15,276 pastries into boxes of 6 pastries each. He has to pack all the pastries.

Musya8 [376]

Answer:

No, Arjun would need 2546 boxes

Step-by-step explanation:

Since he needs to pack 15,276 pastries into boxes of 6, this equation can be used to determine the amount of boxes needed. Hope this helps!

6 0

3 years ago

You have $600,000 saved for retirement. Your account earns 5.5% interest. How much, to the nearest dollar, will you be able to p

Nat2105 [25]

9514 1404 393

Answer:

$4127

Step-by-step explanation:

The amortization formula is good for finding this value.

A = P(r/12)/(1 -(1 +r/12)^(-12t))

where P is the amount invested at rate r for t years.

A = $600,000(0.055/12)/(1 -(1 +0.055/12)^(-12·20)) = $4127.32

You will be able to withdraw $4127 monthly for 20 years.

3 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