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3 years ago

What is the value of x in the inequality

Mathematics

1 answer:

GalinKa [24]3 years ago

8 0

Answer & Step-by-step explanation:

Question 18

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

Inequality Form: x ≤ −10

Interval Notation: (−∞ , −10]

Question 19

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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I wish to have $10,000 at the end of 8 yers in a bank offering a simple interest rate of 7.5% per year. How much should I deposi

kolezko [41]

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

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

P= $6,250

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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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B. 3/5 if 42 would be 25.20$

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3 years ago

A hot liquid is placed in a refrigerator to quickly cool down. The temperature of the liquid can be modeled with the exponential

True [87]

Answer:

This is 3

Step-by-step explanation:

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3 years ago

Find the sum of fourteen and eight tenths and 276.93

vitfil [10]

Answer:

299.03

Step-by-step explanation:

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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:

Area of a Regular Polygon

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

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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2 years ago