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Ann [662]
2 years ago
7

Find the volume of a sphere if its radius is 6 cm. Use estimation for pi.

Mathematics
1 answer:
Viefleur [7K]2 years ago
6 0
Volume is calculated by multiplying (3/4)pi by the radius cubed

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Leda makes 73 oatmeal muffins for a bake sale. She accidentally drops five of them and throws them away. She puts as many of the
mamaluj [8]

Answer:

3 oatmeal muffins

Step-by-step explanation:

First, subtract the 5 muffins she dropped from the total:

73 - 5

= 68

Then, divide this by 13:

68/13

= 5.23

We need a whole number of muffins in each container, so round this down to 5.

This means that there can be 5 muffins in each of the 13 containers.

Find how many will be leftover:

5(13)

= 65

68 - 65

= 3

So, there will be 3 oatmeal muffins left

5 0
3 years ago
What is the absolute value of -250?
Andrei [34K]

Answer:

250

Step-by-step explanation:

Pretty much every time it asks for the abasloute value it just asks how much to get the zero on the number line. It will ALWAYS be positive. For example -5 will be 5 to get to zero on the numberline. Same thing with a positive 5.

6 0
3 years ago
The expression 8³⋅2−¹⁰ is equal to what?<br> ᶠʳᵉᵉ ᵖᵒᶦⁿᵗˢ!! ᵃⁿᵈ ᶜᵘᵗᵉ ᵖᶦᶜᵗᵘʳᵉˢ ♡
ExtremeBDS [4]
The Awnser is 1/2 I think
8 0
3 years ago
Read 2 more answers
(Please show step by step workings)
matrenka [14]

Answer:

a. They will need $90,000.00 for the down payment

b. The mortgage amount (principal) will be $360,000.00

c. The monthly principal payment will be $1,500,00

   The monthly interest payment will be $634.40

d. The total interest they will pay: $152,256.00

Step-by-step explanation:

house price= $450,000

down payment = 20%

20-year mortgage

Interest rate= 3.75%

a. How much they will need for the down payment?

The down payment (DoP) is 20% of the house price

DoP= 20% de $450,000

DoP= 0.20*450,000

DoP= $90,000

b. What will be the mortagage amount (the principal)?

The mortgage amount (MoA) (principal) is the difference between the house price and the down payment.

MoA= $450,000 - $90,000

MoA= $360,000

c. How much will their monthly payment be for the principal and interest?

This equation represents the monthly payment (M):

M=P \frac{r(1+r)^{n} }{(1+r)^{n}-1}

where

P= the principal = $360,000

r= monthly interest rate = 3,75% divided by 12 = 0,31%

n= number of payments = 20 years multiplied by 12 months = 240

Let´s input these data into the equation:

M= 360,000\frac{0.0031(1+0.0031)^{240} }{(1+0.0031)^{240} -1}

M= 360,000\frac{0.0031(1.0031)^{240} }{(1.0031)^{240} -1}

Solving the equation:

M= $2,134.40

the principal component of this M would be

$360,000 divided by the 240 months

So, the principal component of M = $1,500.00

And the interest component of M is the difference

$2,134.40 - $1,500.00

So, the interest component of M = $634.40

d. How much total interest will they pay if they take the full 20 years to pay off the mortgage?

With every payment, they will be paying:

$634.40 per month, multiplied by 240 months

The total interest will be $152,256.00

5 0
3 years ago
Select all equations whose graphs have a vertex with x-coordinate 2
iren2701 [21]

Answer:

C

Step-by-step explanation:

because you have to foil then do -b/2a

8 0
3 years ago
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