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2 years ago

A certain species of fish require 1.5 cubic feet of water per fish to maintain a

Mathematics

1 answer:

Len [333]2 years ago

7 0

Answer: 30 fish

Step-by-step explanation:

A tank measuring 5 feet by 3 feet by 3 feet has a volume of 5*3*3 =45 cubic feet.

If there are 45 cubic feet of water in this tank, and each fish requires 1.5 cubic feet of water, the number of fish that can fit in the tank is 45/1.5 = 30.

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Margaret uses a credit card with a 21.7% APR compounded monthly to pay for her car repairs totaling $692.77. She can pay $290 pe

igomit [66]

Answer:

B. $715.21

Step-by-step explanation:

Apparently, Margaret makes her first payment after she has incurred a finance charge on the amount.

At the end of the first month, the balance due is ...

... 692.77×(1 + 0.217/12) = 705.30

At the end of the second month, the balance due is ...

... (705.30 -290)×(1 +0.217/12) = 422.81

At the end of the third month, the balance due is ...

... (422.81 -290)×(1 +0.217/12) = 132.81

Margaret makes total payments of $290×2 +132.81 = $712.81

Of the choices listed, the best selection is ...

... B. $715.21

_____

<em>Comment on the answer choice</em>

The total $715.21 seems to also include a finance charge on the final payment amount. (It actually includes a charge on $132.72, which is slightly different from the final payment amount.) There will not be any such charge, so the <em>available answer choices are all in error</em>.

Actually, we expect the total cost to be closer to $702.25, because we expect that Margaret will make her first payment before any finance charges are incurred.

_____

You should ask your teacher to show you in detail how to work this problem.

3 0

2 years ago

Read 2 more answers

Leroi and Sylvia both put $100 in a savings account. Leroi decides he will put in an additional $10 each week. Sylvia decides to

Nimfa-mama [501]

Sylvia puts in $121.

10% of (multiply) $210.
210= 100 each person plus an additional ten from Leroi
so .10*210 = $21.
Add Sylvia's $100 plus $21 and viola, $121

6 0

2 years ago

the table shows the types of popcorn buckets sold at a concession station for one day. what percent of the buttered popcorn buck

vlada-n [284]

Hi there! The answer is about 23%

First we need to find the total amount of buttered popcorn sold. This is 182 + 140 + 97 = 419 buckets.

To find the percentage of the buttered popcorn buckets that were large, we use the following formula:
$\frac{part}{total} \times 100\%$

Filling in this formula brings us to our answer:
$\frac{97}{419} \times 100\% = 23.15$
Hence, the answer is about 23%

7 0

2 years ago

16 is 4% of what number?

IrinaK [193]

16 is 4% of 400

Change the percentage into a decimal by dividing the decimal over 100:
$\frac{4}{100} = 0.04$

Divide 16 by the decimal (0.04):
$16 \div 0.04 = 400$

3 0

3 years ago

Solve the differential equation 3ydx+(xy+5x)dy=0

Brrunno [24]

The ODE is separable:

$3y\,\mathrm dx+(xy+5x)\,\mathrm dy=0\implies x(y+5)\,\mathrm dy=-3y\,\mathrm dx\implies\dfrac{y+5}y\mathrm dy=-\dfrac3x\,\mathrm dx$

Integrating both sides gives

$\displaystyle\int\left(1+\frac5y\right)\,\mathrm dy=-3\int\frac{\mathrm dx}x\implies y+5\ln|y|=-3\ln|x|+C$

4 0

3 years ago

Read 2 more answers