The number sentence is an example of which multiplication property 6×7=(6×5)+(6×2)

Answers

Answer 1
Answer: Associative property is what I believe the answer to be.

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Between which two consecutive integers does the radical √46 lie?

Answers

√42 lies between 6and7

Frank deposited $4000 into an account with 3% interest, compounded semiannually. Assuming that no withdrawals are made, how much will he have in the account after 5 years?

Answers

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \n\n A=P\left(1+(r)/(n)\right)^(nt) \quad \begin{cases} A=\textit{accumulated amount}\n P=\textit{original amount deposited}\dotfill &\$4000\n r=rate\to 3\%\to (3)/(100)\dotfill &0.03\n n= \begin{array}{llll} \textit{times it compounds per year}\n \textit{semiannually, thus twice} \end{array}\dotfill &2\n t=years\dotfill &5 \end{cases} \n\n\n A=4000\left(1+(0.03)/(2)\right)^(2\cdot 5)\implies A=4000(1.015)^(10)\implies A\approx 4642.16

What is the answer of -72 ÷ -6

Answers

The quotient of negative 72 and negative 6 is equal to 12.

Marco wants to build house. United Building Company is offering the rate of $15.75 per square foot + an additional conference fee costing $45.99 an hour. American Contracting Company offers a rate of $12.46 per square foot and a $230 flat conferencing fee. If the conference last 4 hours and 15 minutes and the house is 12,226 square feet. How much will it cost for each company? Round to the nearest cent

Answers

Let us take the case of United Building Company First
Rate per square foot = $15.75
Conference fee taken per hour = $45.99
Total conferencing hours = 4 hours and 15 minutes
                                         = 4.15 hours
Total square feet of the house = 12226 square feet
Then
The total cost taken by the company = (15.75 * 12226) + ( 45.99 * 4.15) dollars
                                                            = 192559.5 + 190.86 dollars
                                                            = 192750.36 dollars
So the total amount taken by United Building Company is $192750.36 dollars
Now let us take the case of American Contracting Company
Rate per square foot taken = $12.46
Flat conferencing fee taken = $230
Then
The total cost taken by the company = (12.46 * 12226) + 230
                                                           = 152335.96 + 230 dollars
                                                           = 152565.96 dollars
So the total cost taken by the American Contracting Company is $152565.96.

Whats 20 times 30 ÷ 65

Answers

20 * (30 ÷ 65) = 9.23076923077
20 times 30 ÷ 65 = 9.23076923077
First, you do 30 divided by 65 which equals 
0.46153846153.
Then, you multiply 
0.46153846153 by 20 and get 9.23076923077.
 
Hope this answer helps

What type of transformation is used when moving up an escalator

Answers

kinetic energy is used.

i hope this helps.