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3 years ago

Calvin has $360 less in his savings account than he had 8 weeks ago. Each

Mathematics

1 answer:

maksim [4K]3 years ago

6 0

Answer:

<u>Calvin withdraws $ 60 each week</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Calvin's account balance difference than 8 weeks ago = - $ 360

Weekly amount Calvin deposits = $ 15

Number of weeks to compare = 8

2. What was his average withdrawal each week?

Let's calculate the weekly average withdrawal this way:

Weekly average withdrawal = [Calvin's account balance difference than 8 weeks ago - (Weekly amount Calvin deposits * Number of weeks to compare)]/Number of weeks to compare

Replacing with the values given:

Weekly average withdrawal = [-360 - (15 * 8)]/8

Weekly average withdrawal = -360 - 120 / 8

Weekly average withdrawal = -480 / 8

<u>Weekly average withdrawal = -60</u>

<u>Calvin withdraws $ 60 each week</u>

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2 years ago

A cylindrical canister contains 3 tennis balls. Its height is 8.75 inches and its radius is 1.5. The diameter of one tennis ball

Rudiy27

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Volume of 1 tennis ball = 8.18 in³
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3 years ago

Read 2 more answers

There are 8 tennis players in a round robin tournament, which means each team will play every other team once. How many matches

Aliun [14]

<h3>Answer: 28</h3>

==========================================================

Explanation:

Method 1

Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.

There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.

Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.

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Method 2

There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.

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Method 3

Use the nCr combination formula with n = 8 and r = 2

$n C r = \frac{n!}{r!(n-r)!}\\\\8 C 2 = \frac{8!}{2!*(8-2)!}\\\\8 C 2 = \frac{8!}{2!*6!}\\\\8 C 2 = \frac{8*7*6!}{2!*6!}\\\\ 8 C 2 = \frac{8*7}{2!}\\\\ 8 C 2 = \frac{8*7}{2*1}\\\\ 8 C 2 = \frac{56}{2}\\\\ 8 C 2 = 28\\\\$

There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).

Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.

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1 year ago

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Answer:

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Step-by-step explanation:

Given:

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Solution:

We know that,

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