Prove the identity (x+y)^-2xy=x^2+y^2

In 6 years, a bond that paid 5.5% earned $594 interest. What was the principal of the bond?

Ilia_Sergeevich [38]

Answer:

Principal = $1800

Step-by-step explanation:

$594 = \frac{p \times 5.5 \times 6}{100}$

$\frac{594 \times 100}{5.5 \times 6}$

59400/33 = p

1800 = p

5 0

2 years ago

For each value of y , determine whether it is a solution to -21=6y-9 . A -5, B 3 , C -2, D 9

Nezavi [6.7K]

Option C

For each value of y, -2 is a solution of -21 = 6y - 9

Solution:

Given, equation is – 21 = 6y – 9

We have to find that whether given set of options can satisfy the above equation or not

Now, let us check one by one option

Option A)

Given option is -5

Let us substitute -5 in given equation

- 21 = 6(-5) – 9

- 21 = -30 – 9

- 21 = - 39

L.H.S ≠ R.H.S ⇒ not a solution

Option B)

Given option is 3

- 21 = 6(3) – 9

- 21 = 18 – 9

- 21 = 9

L.H.S ≠ R.H.S ⇒ not a solution

Option C)

Given option is -2

- 21 = 6(-2) – 9

- 21 = - 12 – 9

- 21 = - 21

L.H.S = R.H.S ⇒ yes a solution

Option D)

- 21 = 6(9) – 9

- 21 = 54 – 9

- 21 = 45

L.H.S ≠ R.H.S ⇒ not a solution

Hence, the solution for the given equation is – 2, so option c is correct

6 0

3 years ago

Find the length of the missing side. The triangle is not drawn to scale.

suter [353]

Answer:

D.) 8

Step-by-step explanation:

You can use the Pythagorean theorem because this is a right triangle:

$a^2+b^2=c^2$

a and b are the legs and c is the hypotenuse. The hypotenuse is always the longest side in a right triangle (since it is opposite the biggest angle). The two legs squared have to add up to the hypotenuse squared.

Fill in values:

$a^2+15^2=17^2$

Simplify exponents:

$a^2+225=289$

Isolate the variable. Subtract 225 from both sides:

$a^2+225-225=289-225\\a^2=64$

Find the square root of both sides:

$\sqrt{a^2}=\sqrt{64}\\ a=8$

The missing leg length is 8.

7 0

2 years ago

The manager went over the sales of mobile phones at the store and found that the mean sale was 45, with a standard deviation of

d1i1m1o1n [39]

The z-score of the sale of mobile phones on that day is 1.75

Step-by-step explanation:

The formula of z-score is z = (x - μ)/σ, where:

x is the score
μ is the mean
σ is the standard deviation

∵ The mean sale was 45

∴ μ = 45

∵ The standard deviation was 4

∴ σ = 4

∵ 52 mobile phones were sold on a particular day

∴ x = 52

To find z-score of the sale of mobile phones on that day substitute the values of x, μ, and σ in the formula of z-score

∵ $z=\frac{52-45}{4}$

∴ $z=\frac{7}{4}$

∴ z = 1.75

The z-score of the sale of mobile phones on that day is 1.75

Learn more:

You can learn more about z-score in brainly.com/question/7207785

#LearnwithBrainly

3 0

3 years ago

Square ABCD is shown with four congruent images such that ABCD FGHI JKLM NOPQ RSTU.

N76 [4]

FGHI

Step-by-step explanation:

The square FGHI needs to be created into a reflection for true congruence of the figure thus transformed across the axis.

FGHI's co-ordinates' signs are to be reversed for reflection thus coordinates:

2,-5

4,-5

2,-7

4,-7

are made into

-2,5

-4,5

-2,7

-4,7

5 0

2 years ago

Read 2 more answers