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mr Goodwill [35]
3 years ago
13

Consider the set of whole numbers from 3 to 30, inclusive.

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0
2,4,6,8,10,12,14,16,18,20,22,24,26,28,30
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An auto mechanic charges (C) an initial fee of $50 and then $40 per hour. If (h) represents hours, how much will the mechanic ch
Vesnalui [34]

Answer:

$800

Step-by-step explanation:

per hour $40×10hours=$400

$400÷$50=8 times initial fee

8×$50=$400 total initial fee

$400hours fee+$400 initial fee=$800 total payment

7 0
2 years ago
a can of soup has a volume of 20 pi cubic inches. the diameter of the can is 4 inches. What is the height of the can
ozzi

Answer:

<h3>5 inches</h3>

Step-by-step explanation:

A can is cylindrical in nature and volume of a cylinder is expressed as;

V = πr²h where;

r is the radius of the cylindrical can

h is the height of the can.

Given parameters

Volume of the can of soup = 20πin³

diameter of the can = 4inches

Since diameter = 2r

radius = d/2 = 4/2 = 2inches

Required parameter.

Height of the can

Substituting the given parameters into the formula to get the height h will give;

20π = πr²h

20 = r²h

20 = 2²h

20 = 4h

Divide both sides by 4:

4h/4 = 20/4

h = 5inches

<em>Hence the heighr of the can is 5 inches</em>

4 0
2 years ago
Element X is a radioactive isotope such that its mass decreases by 59% every day. If an experiment starts out with 390 grams of
miss Akunina [59]

Answer:

The function that represents the mass of the sample after t days is A(t) = 390(0.41)^t.

The percentage rate of change per hour is of -2.46%.

Step-by-step explanation:

Exponential amount of decay:

The exponential amount of decay for an amount of a substance after t days is given by:

A(t) = A(0)(1-r)^t

In which A(0) is the initial amount, and r is the decay rate, as a decimal.

Element X is a radioactive isotope such that its mass decreases by 59% every day. The experiments starts out with 390 grams of Element X.

This means, respectively, that r = 0.59, A(0) = 390

So

A(t) = A(0)(1-r)^t

A(t) = 390(1-0.59)^t

A(t) = 390(0.41)^t

The function that represents the mass of the sample after t days is A(t) = 390(0.41)^t.

Hourly rate of change:

Decreases by 59% every day, which means that for 24 hours, the rate of change is of -59%. So

-59%/24 = -2.46%

The percentage rate of change per hour is of -2.46%.

5 0
3 years ago
The annual interest rate of Mike's savings account is 4.8%, and simple interest is calculated monthly. What is the periodic inte
Reptile [31]

The correct option will be: d. 0.4%

For finding the periodic interest rate , we need to divide the annual interest rate by the number of times interest calculated in a year.

Here, the simple interest is calculated monthly, that means the number of times interest calculated in a year will be 12.

Annual interest rate is 4.8%

So, the periodic interest rate = \frac{4.8}{12}= 0.4%

5 0
3 years ago
Read 2 more answers
4 Jillian's school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket salesfor
Kitty [74]
$10.50a + $3.75b = $2,071.50 It is given that b = 82 Therefore - $10.50a + ($3.75)(82) = $2,071.50 or $10.50a + $307.50 = $2,071.50 $10.50a = $2,071.50 - $307.50 = $1,764.00 Therefore - a (number of adult tickets sold) = $1,764.00/$10.50 = 168 tickets
4 0
2 years ago
Read 2 more answers
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