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3 years ago

A circle’s diameter is 22 inches. What is the circle’s circumference

Mathematics

1 answer:

alina1380 [7]3 years ago

8 0

Answer:

69.12 in, or 22pi in terms of pi

Step-by-step explanation:

Circumference of circle formula: 2piR

Radius of 22 in diameter is 11 in

So, 2pi(11) is about 69.12 in

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Jimmy’s age is one year less than the sum of the ages of his siblings Serena and Tyler. Which equation represents Jimmy’s age? J

AnnZ [28]

(S+T) -1=J the sum of his siblings age minus 1

7 0

4 years ago

Colleen is 15 years from retiring. She opens an account at the Savings Bank. She plans to deposit

gulaghasi [49]

9514 1404 393

Answer:

a) $169,234.59

b) $19,234.59

Step-by-step explanation:

The first question you must answer is whether Colleen will earn interest on her first deposit in the first year. That is, does she deposit the money at the first of the year or the end of the year?

The usual "annuity" formula assumes the deposit is at the end of the year, so no interest at all is earned on the last deposit made. If the deposit is at the first of the year, an "annuity due" formula is used, that multiplies the entire ending account value by the annual multiplier, 1.017 in this case.

a) Assuming an "annuity", the formula is ...

A = P((1 +r)^t -1)/r . . . . . for annual compounding at rate r for t years

A = $10,000(1.017^15 -1)/0.017 = $169,234.59 . . . . ending balance

b) Colleen has made 15 deposits of $10,000, for a total of $150,000, so the amount of interest earned is ...

$169,234.59 -150,000 = $19,234.59 . . . . interest earned

8 0

3 years ago

1 2/9 improper fraction

fgiga [73]

Answer:

multiple 9 x 1 and add 2....= 11

11/9

8 0

3 years ago

Amanda's school is due west of her house and due south of her friend Shereen's house. The distance between the school and Sheree

Blizzard [7]

The Amanda's house is 6.7 km far from her school.

<u>Step-by-step explanation:</u>

From the given information,

The Amanda's school is due west of her house forms the base.
The school is due south of the Shereen's house forms the height.
The straight-line distance between Amanda's house and Shereen's house forms the hypotenuse.

Therefore, It can be determined that it forms the right angle triangle.

It is given that,

The distance between the school and Shereen's house is 2 kilometers.

That is, the height of the triangle = 2 km

The straight-line distance between Amanda's house and Shereen's house is 7 kilometers.

That is, the hypotenuse of the triangle = 7 km

Now, the distance between the Amanda's house and her school is the base of the triangle.

Base = $\sqrt{(hypotenuse)^{2}-(height)^{2} }$

⇒ $\sqrt{(7)^{2} -(2)^{2} }$

⇒ $\sqrt{49-4}$

⇒ $\sqrt{45}$

⇒ 6.7 km

Therefore, the Amanda's house is 6.7 km far from her school.

3 0

3 years ago

Solve for the inverse g(x) = 2x^2-6/9

oksian1 [2.3K]

Answer:f(x)=x2−6x−9 f ( x ) = x 2 - 6 x - 9. Replace f(x) f ( x ) with y y . y=x2−6x−9 y = x 2 - 6 x - 9. Interchange the variables. x=y2−6y−9 x = y 2 - 6 y - 9.

Step-by-step explanation:

4 0

3 years ago