The Kerwoods went out to eat at Chilles. If there bill was $58.65 and they gave their server a 15% tip, how much did they pay altogether?

Answers

Answer 1
Answer: So the equation would look like
So the answer would be 58.65(1.15)=67.4475
Did you understand why I multiplied by 1.15

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how to find the volume of each sphere, both in terms of \pi and the nearest tenths for r=3 use 3.14 for \p.

Answers

Volume formula of a sphere:
(4)/(3)\pi

given:
r = 3 

V = (4)/(3)\pi(3)³
V = (4)/(3) × 27\pi
V = 36\pi units³ (in terms of \pi)
V = 113.097 units³ ≈ 113.1 units³

How much money should be invested now (rounded to the nearest cent), called the initial investment, in a Municipal Bond investment that yields 6% per year, compounded monthly for 10 years, if you wish it to be worth $20,000 after 10 years?

Answers

The formula for annual compound interest, including principal sum, is:
A = P (1 + r/n)ⁿˣ

A = the future value = $ 20,000
P = the principal investment amount = Not given
r = the annual interest rate (decimal) = 0.06
n = the number of times that interest is compounded per year = 12
x = the number of years = 10

$ 20,000 = P (1 + 0.06/12)¹²⁰
$ 20,000 = P (1 +0.005 )¹²⁰
$ 20,000 = P (1.005 )¹²⁰
$ 20,000 = 1.81·P
P = $ 20,000÷1.81
P = $ 11,049.72

3) Katie leaves a 25% tip ona restaurant bill of $82.OO Including the tip, what is the total amount of her bill?

Answers

82=100%
add 25%

100%+25%=125%

125% of 82

percent means parts out of 100
125%=125/100=1.25

'of' means multiply

125% of 82 means

1.25 times 82=102.5

total cost=$102.50
It's easily done in one step. 125%*82=102.5 The answer is $102.5

A basketball goal is 18 inches in diameter. A basketball has a diameter of about 9.6 inches. What is the difference in circumference between the goal and the center cross-section of a basketball?

Answers

The difference in circumference between the goal and the center cross-section of a basketball is 26.4inches.

It is given that

Diameter of a basketball goal = 18inches

So, the radius will be 18/2 = 9inches

What is the circumference of a circle?

It is the length of the outer periphery of a circle equals 2*π*r, where r is the radius of the circle.

Circumference of goal = 2*π*9 = 56.57inches

Diameter of basketball = 9.6inches

So, the radius of basketball will be 9.6/2 = 4.8 inches

Circumference of cross-section of basketball = 2*π*4.8 = 30.17inches

So, the difference in circumference between the goal and the center cross-section of a basketball = 56.57-30.17 = 26.4inches.

Therefore, difference in circumference between the goal and the center cross-section of a basketball is 26.4inches.

To get more about circles visit:

brainly.com/question/24375372

8.4  you hsve to subtract 18-9.6 and you get ur answer.  let me know If you  need anymore help

Helppppppp!!!!!!!! :(((((

Answers

you have the area of the squares
100 in^2 
area of a square = l*w
so length and width of the square both equal 10in
there are 4 squares going across the semi circle so...
diameter of semicircle is 10+10+10+10 =40in and radius is 20in
to find area of semicircle the formula is 1/2 pi r^2
so plug in the numbers 1/2(3.14) (20)^2 = 628 in ^2
now add that to area of big square part of window 
40 inches length * 40 inches width = 1600in^2 (or you can just add them all up ) 
add up the areas now 1600+628= 2228 in^2
i think that is right

a) We know that the radius of the top of the window is two side lengths of a square. Since each square has a side length of 10 inches, the radius of the half-circle portion is 20 inches. The area of a half-circle is (pi*r²)/2 (r being radius and pi being 3.14). There are 16 squares as well. So the equation is ((3.14*20²)/2) + (16*100)=2,228 in²
b) The next part's a little tricky, but just add 4 inches to the radius and 4 inches to all of the affected outer-rim squares. You should get 3016.32 in²

The volume of a rectangular prism is 300 ft3. If the area of the base is 12 ft2, what is its height?

Answers

The height of the rectangular prism will be 25 feet.

What is the volume of the rectangular prism?

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

The volume of a rectangularprism is 300 ft³.

If the area of the base is 12 ft².

Then the height of the rectangular prism will be

We have

V = 300 ft³

L x W = 12 ft²

Then we have

300 = 12 x H

   H = 25 feet

More about the volume of the prism link is given below.

brainly.com/question/16246207

#SPJ2

Hey there, the formula for volume is length×base×height, the volume of a rectangular prism is 300 ft and the length and base is 12 ft, 300=12h, h=300/12=25. Therefore, the height is 25