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2 years ago

Please no "files": Simplify. Express your answer as the given base raised to a single exponent.

Mathematics

1 answer:

Kipish [7]2 years ago

5 0

Answer:

9^48

Step-by-step explanation:

when parenthesis are involved, you multiply the powers

6*8=48

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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

2 years ago

How can I solve this problem?

irina [24]

5x + 5x +3x (like terms)
13x-60=180
180+60=240
240/13=18.4615
X=18.4615

I hope this is correct.
(There are so many different ways to do math problems like this) I hope I could help... sorry if I didn’t.

6 0

2 years ago

If ethans monthly expenses are 1160 and his debt to income ratio is 0.8 what is his monthly salary

lukranit [14]

Answer:

$1450$

Step-by-step explanation:

Based on the given conditions, formulate: $\frac{1160}{0.8}$

Convert decimal to fraction: $\dfrac{1160} {\dfrac{8}{10}}$

Divide a fraction by multiplying its reciprocal: $1160 \times \dfrac{10}{8}$

Cross out the common factor: $145 \times 10$

Calculate the product or quotient: $1450$

get the result: $1450$

Answer: $1450$

7 0

2 years ago

Water is being poured into a container in the shape of a right circular cone with a radius of 4 ft and height of 16 ft. Find a f

zmey [24]

Answer:

$V=pi*\frac{16 h}{3}$

Step-by-step explanation:

Volume of a right circular cone can be found using the equation

$V=pi*\frac{r^{2} h}{3}$ where

r is the radius of the cone

h is the height of the cone
pi is the π constant

Since r=4ft, we can model the volume of the water in the cone in terms of the height as

$V=pi*\frac{4^{2} h}{3}$ = $pi*\frac{16 h}{3}$

8 0

2 years ago

When you add 18 to 1/4 of a number, you get the number itself.

Lerok [7]

So if 18 plus 1/4 of the number is the number the means 18 is 3/4 of the number so 18 divided by 3 is 6 so 1/4 = 6 now add 6 to 18 to get 4/4 of the number which is 24 number = 24

8 0

3 years ago