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2 years ago

Find the square (5p-9)(5p-9)

Mathematics

1 answer:

Hunter-Best [27]2 years ago

5 0

Answer:

The square would be 25p^2 - 90p + 81

Step-by-step explanation:

To get this, use the FOIL method. In this, we multiply the first, outer, inner and last pairings.

First - Multiply the first number in each parenthesis.

5p * 5p = 25p^2

Outer - Multiply the outside numbers in each parenthesis.

5p * -9 = -45p

Inner - Multiply the inner numbers in each parenthesis.

-9 * 5p = -45p

Last = Multiply the last numbers in each parenthesis

-9 * -9 = 81

Now take all of those numbers and add together. Then simplify.

25p^2 - 45p - 45p + 81

25p^2 - 90p + 81

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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.

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