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STatiana [176]
2 years ago
9

What is the solution set for the open sentence, using the given replacement set ?

Mathematics
1 answer:
77julia77 [94]2 years ago
4 0

Answer:

x = 3

Step-by-step explanation:

first move 7 into RHS in addition

then move t into RHS in division

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A house purchased for $230,000 has lost 6% of its value each year for the last four years. What is the house worth now?
lutik1710 [3]
You can use the compound growth to work this out,

Firstly you need to make a multiplier for -6%;
1-(6/100) = 0.94

The you times the amount of money by 0.94 to the power of 4 because you are working out 4 years:
230000*0.94^4 = 179527.26

The answer is $179527.26,
Hope this helps! :)
3 0
3 years ago
20 POINTS HELPPPPP
kiruha [24]

For this case we have the following expression:

\frac {216 ^ {n-2}} {(\frac {1} {36}) ^ {3n}} = 216

We multiply both sides by: (\frac {1} {36}) ^ {3n}

216 ^ {n-2} = 216 * (\frac {1} {36}) ^ {3n}

We divide both sides by 216:

\frac {216 ^ {n-2}} {216} = (\frac {1} {36}) ^ {3n}

To divide powers of the same base, we place the same base and subtract the exponents:

216 ^ {n-2-1} = (\frac {1} {36}) ^ {3n}\\216 ^ {n-3} = (\frac {1} {36}) ^ {3n}

Rewriting:

(6 ^ 3) ^ {n-3} = (\frac {1} {6 ^ 2}) ^ {3n}\\6 ^ {3n-9} = \frac {1} {6 ^ {6n}}\\6^{ 3n-9} * 6^{ 6n} = 1

To multiply powers of the same base, we place the same base and add the exponents:

6^{ 3n-9 + 6n} = 1\\6^{ 9n-9} = 1

We know that any number raised to zero is 1, a ^ 0 = 1.

So, for equality to be true:

9n-9 = 0\\9n = 9\\n = \frac {9} {9}\\n = 1

Answer:

n = 1

3 0
3 years ago
Read 2 more answers
Dalia bought a few swirl marbles and divided it equally among four of her friends and her brother, Jake. While playing, Jake los
Licemer1 [7]

Answer:

45÷5=9-2=7 is this the equation took so long but got the right answer

3 0
3 years ago
Suppose the dimensions of a rectangle with a perimeter of 18 inches are quadrupled. Find the perimeter of the new rectangle in i
oee [108]

The new perimeter of the rectangle if the dimensions are quadrupled would be 72 inches.

<h3>What are the side lengths of the first triangle?</h3>

The perimeter is always obtained by adding all the sides. This means the possible side lengths of the original rectangle are:

  • 5 inches + 5 inches + 4 inches + 4 inches

<h3>What are the side lengths of the new triangle?</h3>

5 inches x 4 = 20 inches

4 iches x 4 = 16 inches

<h3>What is the new perimeter?</h3>

20 + 20 + 16 +16= =72 inches

Learn more about perimeter in: brainly.com/question/6465134

6 0
2 years ago
A truck was purchased for $25,000 in 2020 and each year its value decreases by 7%. How much will the truck be worth in
spin [16.1K]

Answer:

$3787.5

Step-by-step explanation:

Given data

Cost price=  $25,000

Rate of decrease= 7%

Time= 2020-2026= 26 years

Let us apply the formula

A= P(1-r)^t

substitute

A= 25000(1-0.07)^26

A=25000(0.93)^26

A= 25000*0.1515

A= $3787.5

Hence the worth will be $3787.5

3 0
3 years ago
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