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2 years ago

Use the Pythagorean identity on page 10 with x = 4 and y= 3 to generate a Pythagorean triple

Mathematics

1 answer:

Dmitry [639]2 years ago

6 0

Answer:

c. 7, 24, 25

Step-by-step explanation:

For the formulas ...

a=x^2-y^2
b=2xy
c=x^2+y^2

we can use the given values of x and y to find the corresponding Pythagorean triple:

a = 4^2 -3^2 = 16 -9 = 7

b = 2·4·3 = 24

c = 4^2 +3^2 = 16 +9 = 25

The generated Pythagorean triple is (7, 24, 25), matching answer C.

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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

PLEASE HELP ME

zavuch27 [327]

I got 6.49204 but you will need to round so D 6.5

I added all of the numbers up

8 0

2 years ago

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(3a ^2 + 1) - ( 4+2a^2)

xz_007 [3.2K]

Answer:

a^2 - 3

Step-by-step explanation:

(3a^2 + 1) - (4 + 2a^2)

3a^2 + 1 - 4 - 2a^2

a^2 - 3

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2 years ago

sarah uses a recipe to make 2 gallons of her favorite mixed-berry juice. the containers she plans to use to store the juice have

BabaBlast [244]

1 gallon = 8 pints, so 2 gallons = 16 pints.
If each container can hold one pint, then she will need 16 containers.

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2 years ago

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leonid [27]

6/2 (2+1)

6/ 2 x (3)

6/6 = 1

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3 years ago

Use the Pythagorean identity on page 10 with x = 4 and y= 3 to generate a Pythagorean triple​

Use the Pythagorean identity on page 10 with x = 4 and y= 3 to generate a Pythagorean triple