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Temka [501]
3 years ago
9

If a person uses $700 in credit with an interest of 14%,what is that person going to owe after three billing cycles with simple

interest
Mathematics
1 answer:
Brums [2.3K]3 years ago
6 0
Simple interest:  i = p*r*t, where r is the annual interest rate and t is the number of years.
                                14%
This boils down to ----------- interest per month:  a monthly rate of 0.0117.
                                12 mo

Thus, after 3 months, the amount owed, including the original $700, would be $700 + 3($700)(0.0117) = $724.57.
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Determine the volume of the rectangular prism.<br>​
Flauer [41]

Answer:

<h2><u>50 ft³</u></h2>

Step-by-step explanation:

We know the formula for a rectangular prism is length × width × height

We also know all the sides so we can rewrite the formula replacing variables.

The length is 8, the width is 2\frac{1}{2} and the height is 2\frac{1}{2}

8 × 2\frac{1}{2} × 2\frac{1}{2}

Multiply which ever way is easy for you. I am just multiplying from left to right.

8 × 2\frac{1}{2} = 20

20 × 2\frac{1}{2} = 50

Now we get 50. Before we put our answer as 50, there are two more steps.

First we need to add the measurement unit which is feet or ft

We also need to add ³ since it is volume

<u>50 ft³ is our final answer</u>

7 0
3 years ago
Suppose <img src="https://tex.z-dn.net/?f=m" id="TexFormula1" title="m" alt="m" align="absmiddle" class="latex-formula"> men and
ollegr [7]

Firstly, we'll fix the postions where the n women will be. We have n! forms to do that. So, we'll obtain a row like:

\underbrace{\underline{~~~}}_{x_2}W_2 \underbrace{\underline{~~~}}_{x_3}W_3 \underbrace{\underline{~~~}}_{x_4}... \underbrace{\underline{~~~}}_{x_n}W_n \underbrace{\underline{~~~}}_{x_{n+1}}

The n+1 spaces represented by the underline positions will receive the men of the row. Then,

x_1+x_2+x_3+...+x_{n-1}+x_n+x_{n+1}=m~~~(i)

Since there is no women sitting together, we must write that x_2,x_3,...,x_{n-1},x_n\ge1. It guarantees that there is at least one man between two consecutive women. We'll do some substitutions:

\begin{cases}x_2=x_2'+1\\x_3=x_3'+1\\...\\x_{n-1}=x_{n-1}'+1\\x_n=x_n'+1\end{cases}

The equation (i) can be rewritten as:

x_1+x_2+x_3+...+x_{n-1}+x_n+x_{n+1}=m\\\\&#10;x_1+(x_2'+1)+(x_3'+1)+...+(x_{n-1}'+1)+x_n+x_{n+1}=m\\\\&#10;x_1+x_2'+x_3'+...+x_{n-1}'+x_n+x_{n+1}=m-(n-1)\\\\&#10;x_1+x_2'+x_3'+...+x_{n-1}'+x_n+x_{n+1}=m-n+1~~~(ii)

We obtained a linear problem of non-negative integer solutions in (ii). The number of solutions to this type of problem are known: \dfrac{[(n)+(m-n+1)]!}{(n)!(m-n+1)!}=\dfrac{(m+1)!}{n!(m-n+1)!}

[I can write the proof if you want]

Now, we just have to calculate the number of forms to permute the men that are dispposed in the row: m!

Multiplying all results:

n!\times\dfrac{(m+1)!}{n!(m-n+1)!}\times m!\\\\&#10;\boxed{\boxed{\dfrac{m!(m+1)!}{(m-n+1)!}}}

4 0
3 years ago
Find the product of the sum of 1/2 and -3/4 and difference of -5/6 and 13/8
Zolol [24]

Product of the sum of 1/2 and -3/4 and difference of -5/6 and 13/8

= (1/2-3/4)×(-5/6+13/8)

= -1/4×19/24

= -19/96

7 0
3 years ago
Read 2 more answers
Some middle school students are asked if they play checkers and chess. The results of the survey are shown in the table.
BaLLatris [955]
How’s everybody’s day :)
3 0
3 years ago
Read 2 more answers
On the coordinate plane below, quadrilaterals TRAP and HELP are similar to each other.
Elanso [62]

Answer:Quadrilateral TRAP has an area that is one-fourth the area of quadrilateral HELP.

Step-by-step explanation: Because you rearrange the squares and it is 1/4

6 0
3 years ago
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