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vesna_86 [32]
3 years ago
8

What is the value of x in the inequality

Mathematics
1 answer:
GalinKa [24]3 years ago
8 0

<u>Answer & Step-by-step explanation:</u>

<u>Question 18 </u>

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: x ≤ −10

Interval Notation: (−∞ , −10]

<u>Question 19</u>

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: x ≤ 4

Interval Notation: (−∞ , 4]

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Answer:

You have to invest  $6,250

Step-by-step explanation:

very simple applying the simple interest formula which is

A = P (1 + rt)

Given data

A, final amount =  $10,000

P, initial principal balance=  ?

r, annual interest rate = 7.5%

t, time (in years)= 8 years

we can substitute our given data to find the principal needed.

10000= P(1+0.075*8)\\\10000= P(1.6)\\\

Divide both sides by 1.6 we have

P= \frac{10000}{1.6} \\\P= 6250

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3 years ago
A shirt is on sale for $42. If this is (3)/(5) of the original price of the shirt, what was the original price of the shirt?
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A hot liquid is placed in a refrigerator to quickly cool down. The temperature of the liquid can be modeled with the exponential
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Step-by-step explanation:

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3 years ago
Find the sum of fourteen and eight tenths and 276.93
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3 years ago
A regular hexagon has an apothem of 14. 7 inches and a perimeter of 101. 8 inches. What is the area of the hexagon?.
AleksAgata [21]

Answer:

748.23 in²

Step-by-step explanation:

<u>Area of a Regular Polygon</u>

\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}

where:

  • n = number of sides
  • l = length of one side
  • a = apothem

Given:

  • n = 6
  • l = 101.8 ÷ 6
  • a = 14.7

Substituting the given values into the formula and solving for A:

\implies \textsf{A}=\dfrac{6 \cdot \dfrac{101.8}{6} \cdot 14.7}{2}

\implies \sf A=\dfrac{101.8 \cdot 14.7}{2}

\implies \sf A=\dfrac{1496.46}{2}

\implies \sf A=748.23

Therefore, the area of the hexagon is 748.23 in²

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