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2 years ago

C. Assume someone has an average balance account with a bank that costs $35 a month but earns

Mathematics

1 answer:

Elodia [21]2 years ago

8 0

Answer:

The total interest earned after subtracting the monthly $35

service fee = $975 - $35 = $940

Step-by-step explanation:

Bank fee cost per month = $35

Interest rate per month = 1%

The total amount in the account until the 15th = $100,000

The total amount in the account from the 15th to the 30th = $95,000

Interest Earned?

Interest earned for first 15 days:

= $100,000 times 1%/2

= $100,000 times 0.001/2

= $500

Interest earned from 15th to the 30th:

= $95,000 times 1%/2

= $95,000 times 0.001/2

= $475

Interest earned for first 15 days + Interest earned from 15th

to the 30th = $500 + $475 = $975

So, the total interest earned after subtracting the monthly $35

service fee = $975 - $35 = $940

Keywords: interest, interest rate

Learn more about interest calculation from brainly.com/question/3256069

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The volume of a sphere can be described by the following formula, where V = volume and r = radius of the sphere.

Anika [276]

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Step-by-step explanation:

Given formula for volume of a sphere is:

$V = \frac{4}{3}\pi r^3$

We have to make r the subject of the formula

Multiplying equation by 3/4

$\frac{3}{4}V = \frac{4}{3} * \frac{3}{4} \pi r^3\\\frac{3}{4}V = \pi r^3$

Dividing both sides by pi

$\frac{3}{4\pi}V =\frac{ \pi r^3}{\pi}\\\frac{3V}{4\pi} = r^3$

Taking cube root on both sides

$\sqrt[3]{\frac{3V}{4\pi} } = \sqrt[3]{r^3} \\ r = \sqrt[3]{\frac{3V}{4\pi} }$

Hence,

Option C: $r = \sqrt[3]{\frac{3V}{4\pi} }$ is the right answer

Keywords: Volume, Sphere

Learn more about volume at:

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3 years ago

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Keith_Richards [23]

Answer:

Step-by-step explanation:

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2 years ago

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If a figure is a triangle, then it has three sides.

stellarik [79]

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2 years ago

Solve the inequality -10w _< 20

Dvinal [7]

Step-by-step explanation:

-10w< 20
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<h2>stay safe healthy and happy...</h2>

8 0

2 years ago

A football team has a probability of .75 of winning when playing any of the other four teams in its conference. If the games are

Alexeev081 [22]

Answer:

0.3164 = 31.64% probability the team wins all its conference games

Step-by-step explanation:

For each conference game, there are only two possible outcomes. Either the team wins it, or they lose. The probability of winning a game is independent of any other game. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A football team has a probability of .75 of winning when playing any of the other four teams in its conference.

The probability means that $p = 0.75$ , and four games means that $n = 4$

If the games are independent, what is the probability the team wins all its conference games?

This is P(X = 4). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 4) = C_{4,4}.(0.75)^{4}.(0.25)^{0} = 0.3164$

0.3164 = 31.64% probability the team wins all its conference games

4 0

2 years ago