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3 years ago

What is the measure of ∠x?

Mathematics

1 answer:

Nutka1998 [239]3 years ago

6 0

Answer:

83°

Step-by-step explanation:

WZ is a straight line. Angles at a straight line add up to 180°.

180 - 97 =83°

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A town population of children increased from 367 to 421 during the past year which equation showes how to find the percentage in

klemol [59]

Answer:

5.7%

Step-by-step explanation:

421-367=24

24/421x100=5.7%

6 0

2 years ago

A credit card company charges 18.6% percent per year interest. Compute the effective annual rate if they compound, (a) annualy,

Darina [25.2K]

Answer:

a) Effective annual rate: 18.6%

b) Effective annual rate: 20.27%

c) Effective annual rate: 20.43%

d) Effective annual rate: 20.44%

Step-by-step explanation:

The effective annual interest rate, if it is not compounded continuously, is given by the formula

$I=C(1+\frac{r}{n})^{nt}-C$

where

C = Amount of the credit granted

r = nominal interest per year

n = compounding frequency

t = the length of time the interest is applied. In this case, 1 year.

In the special case the interest rate is compounded continuously, the interest is given by

$I=Ce^{rt}-C$

(a) Annually

$I=C(1+\frac{0.186}{1})-C=C(1.186)-C=C(1.186-1)=C(0.186)$

The effective annual rate is 18.6%

(b) Monthly

There are 12 months in a year

$I=C(1+\frac{0.186}{12})^{12}-C=C(1.2027)-C=C(0.2027)$

The effective annual rate is 20.27%

(c) Daily

There are 365 days in a year

$I=C(1+\frac{0.186}{365})^{365}-C=C(1.2043)-C=C(0.2043)$

The effective annual rate is 20.43%

(d) Continuously

$I=Ce^{0.186}-C=C(1.2044)-C=C(0.2044)$

The effective annual rate is 20.44%

3 0

3 years ago

Why is 3 and one half in the equation 3 and one half plus 215 equal 495

NemiM [27]

Hello!

3 $\frac{1}{2}$ + 215 = 218 $\frac{1}{2}$ .

6 0

3 years ago

A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square?

BaLLatris [955]

We will use this formula = 1/2 × base × height

And thus

1/2 × 8 ×8

4 0

4 years ago

T = L(8 + RS) Solve for R

Eddi Din [679]

Answer:

Step-by-step explanation:

T=L(8+RS)

T=L8+LRS

T-L8=LRS

R=T-L8/LS

6 0

4 years ago