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3 years ago

If 36^12-m=6^2m, what is the value of m? 4,6,8,9

Mathematics

2 answers:

Viefleur [7K]3 years ago

4 0

The Answer is B.) 6
I Just took the test as well.

stealth61 [152]3 years ago

3 0

$36^{12-m}=6^{2m}\\\\(6^2)^{12-m}=6^{2m}\\\\6^{2(12-m)}=6^{2m}\\\\6^{24-2m}=6^{2m}\iff24-2m=2m\ \ \ |add\ 2m\ to\ both\ sides\\\\4m=24\ \ \ \ |divide\ both\ sides\ by\ 4\\\\\boxed{m=6}$

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Goryan [66]

C. 11.8 ( remember a2+b2=C2 )

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3 years ago

Troy is considering two lawn care services. Premier Landscaping charges $15 for travel to Troy's house and $55 per hour for main

Irina18 [472]

Answer:

Cost for Premier Landscaping = $55h+15$

Cost for Ace Landscaping = $65h$

Where $h$ is the number of hours spent on lawn care.

Step-by-step explanation:

Given that:

Charges as per Premier Landscaping:

Fixed charges for travel to the house = $15

Per hour charges = $55

Let $h$ be the number of hours for which lawn care is done.

So, Charges for $h$ hours = Per hour charges $\times$ Number of hours =$55 $h$

Therefore, total cost = $55h+15$

Charges as per Ace Landscaping:

Per hour charges = $65

Let $h$ be the number of hours for which lawn care is done.

Then Charges for $h$ hours = Per hour charges $\times$ Number of hours =$65 $h$

Therefore, system of equations that represent the lawn care services:

Cost for Premier Landscaping = $55h+15$

Cost for Ace Landscaping = $65h$

$h>0$

Where $h$ is the number of hours spent on lawn care.

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3 years ago

Vítor is going to guess on all 4 questions of his multiple-choice test. Each question on the test has 5 answer option. Complete

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Step-by-step explanation:

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3 years ago

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3 years ago

How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compoun

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Answer:

Matthew's money will double fastest in 6 years.

Step-by-step explanation:

The complete question is

Answer the question for each scenario by applying the rule of 72. How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%. Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%. Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%. Whose money will double fastest?

we know that

The Rule of 72 is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. By dividing 72 by the annual rate of return.

Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%

$\frac{72}{12}=6\ years$

Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%.

$\frac{72}{8}=9\ years$

Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%

$\frac{72}{4.5}=16\ years$

therefore

Matthew's money will double fastest in 6 years.

7 0

3 years ago