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2 years ago

Express your answer as a polynomial in standard form.

Mathematics

1 answer:

Musya8 [376]2 years ago

7 0

Answer:

$f(g(x)) = 6x^2+6x+11$

Step-by-step explanation:

$f(g(x)) = 2(3x^2+3x+7) - 3\\f(g(x)) = 6x^2 + 6x + 14 - 3\\f(g(x)) = 6x^2+6x+11$

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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

3 years ago

ANYONE FEEL LIKE THEY DON'T BELONG

creativ13 [48]

Answer:

all the time

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Please simplify this please it’s due really soon!

iren2701 [21]

Step-by-step explanation:

$\frac{ {13}^{6} \div {13}^{8} \times {13}^{ - 4} }{ {13}^{ - 2} }$

You need to remember the properties of exponents: multiplication adds the exponents, division subtracts the exponents.

If you multiply two powers with the same base, the result will be the base to the sum of the powers.

If you divide two powers with the same base, the result will be the base to the difference of the powers.

In your case you will this:

${13}^{6 - 8 + ( - 4) - ( - 2)}$

That is:

${13}^{ - 4}$

Or:

$\frac{1}{ {13}^{4} }$

7 0

3 years ago

Equation:<br><img src="https://tex.z-dn.net/?f=5%20%2B%205%20%3D%205x%20%2B%205%20-%202" id="TexFormula1" title="5 + 5 = 5x + 5

dem82 [27]

Answer:

x = $\frac{7}{5}$

Step-by-step explanation:

To solve for x, we need to isolate it [get it alone on one side]

We should start by simplifying (combining the like-terms of our equation):

5 + 5 = 5x + 5 - 2

10 = 5x + 3

- 3 - 3 (subtract 3 from both sides to isolate x)

7 = 5x

÷5 ÷5 (divide both sides by 5 to find "1"x)

$\frac{7}{5}=x$

So, x = $\frac{7}{5}$

(x = 7/5)

hope this helps!!

7 0

1 year ago

Read 2 more answers

Help I need help ASAP?!!? Thank<br> You:)

alekssr [168]

Answer:

i think its b

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers