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vampirchik [111]

2 years ago

10

To become a member at All Sport Gym, you must first pay a one time fee of $25. After that, the cost of membership is $10 per mon

th. Write an equation to model this situation.

1 answer:

rodikova [14]2 years ago

8 0

Answer:

25-10=15

Step-by-step explanation:

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Michael has a sink that is shaped like a half-sphere. The sink has a volume of 3000 3 in3. One day, his sink is clogged. He has

jarptica [38.1K]

Answer:

Part a) $42\ cups$

Part b) $15\ cups$

Step-by-step explanation:we know that

The volume of the sink (half sphere) is equal to

$V=3,000\pi \ in^{3}$

Part a) One cup has a diameter of 6 in. and a height of 8 in. How many cups of water must Michael scoop out of the sink with this cup to empty it?

The volume of the cylinder is equal to

$V=\pi r^{2}h$

we have

$r=6/2=3\ in$ ----> the radius is half the diameter

$h=8\ in$

substitute the values

$V=\pi (3)^{2}(8)=72\pi\ in^{3}$

To find the number of cups divide the total volume of the sink by the volume of the cylinder

$\frac{3,000\pi}{72\pi} =41.67\ cups$

Round to the nearest whole number

$41.67=42\ cups$

Part b) One cup has a diameter of 10 in. and a height of 8 in. How many cups of water must Michael scoop out of the sink with this cup to empty it?

The volume of the cylinder is equal to

$V=\pi r^{2}h$

we have

$r=10/2=5\ in$ ----> the radius is half the diameter

$h=8\ in$

substitute the values

$V=\pi (5)^{2}(8)=200\pi\ in^{3}$

To find the number of cups divide the total volume of the sink by the volume of the cylinder

$\frac{3,000\pi}{200\pi} =15\ cups$

4 0

2 years ago

Amanda deposited 4000 into an account with 3.7% interest, compounded quarterly. Assuming that no withdrawals are made, how much

kondor19780726 [428]

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The amount that will be in Amanda's account after a period of 8 years is $5,370.57.

<h3>What is compound interest?</h3>

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.,

The formula for compound interest is written as,

$A = P(1+\dfrac{r}{n})^{n \times t}$

A is the final amount

P is the principal amount

r is the rate of interest

n is the number of times the money is compounded in a year

t is the number of years

Given the following details about the account that Amanda owns,

The Principal amount, P is $4000; the rate of interest (r) is 3.7%; the amount is compounded quarterly, therefore, n=4. Also, the amount is invested for a period of 8 years. Thus, the amount in the account after 8 years will be,

$A = P(1+\dfrac{r}{n})^{n \times t}\\\\A= \$4,000 \times (1+\dfrac{0.037}{4})^{4 \times 8}\\\\A = \$5,370.57$

Hence, the amount that will be in Amanda's account after a period of 8 years is $5,370.57.

Learn more about Compound Interest:

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5 0

1 year ago

How to find out the length of slant edge?

Liula [17]

Use the Pythagorean theorem A^2 + B^2 = C^2. C is the slant length. Hope this helps.

7 0

3 years ago

I'll give brainliest to whoever solves first correctly

almond37 [142]

Answer:

The answer rewritten is y=x-3+x+2-x-5=x-6

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Determine the type of triangle that is drawn below.

SashulF [63]

Answer:

equalateral

Step-by-step explanation:

hope this helps

5 0

2 years ago