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Mrrafil [7]
3 years ago
6

Six times a number is equal to 30.5 more than the number. Find the number

Mathematics
1 answer:
saul85 [17]3 years ago
6 0

Answer:6.1

Step-by-step explanation: the equation is 6n=30.5+n. the first thing you you do is subtract n on both sides which would be 6n-n which gives you 5. the equation now is 5n=30.5. now what you do is divide 5 on both sides so it would be 30.5/5 and that gives you 6.1

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When a deposit of $1000 is made into an account paying 2% interest, compounded annually, the balance, $B, in the account after t
labwork [276]

Answer:

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

Step-by-step explanation:

Given a function y, the average rate of change S of y=f(x) in an interval (x_{s}, x_{f}) will be given by the following equation:

S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}

In this problem, we have that:

B(t) = 1000(1.02)^{t}

Find the average rate of change in the balance over the interval t = 0 to t = 5.

B(0) = 1000(1.02)^{0} = 1000

B(5) = 1000(1.02)^{5} = 1104.08

Then

S = \frac{1104.08 - 1000}{5-0} = 20.82

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

8 0
3 years ago
Find the measure of angle A
Gre4nikov [31]

Answer:

21 degrees

Step-by-step explanation:

Triangles have a total angle of 180 degrees.

This makes our equation:

3x+3+4x+135=180

Subtract 135 from both sides and combine like terms

7x + 3 = 45

Subtract 3 from both sides

7x = 42

Divide both sides by 7

x = 6

Plugging the number in:

3x + 3 =

3(6) + 3 =

21

7 0
3 years ago
Which number line represents the expression 7 + (−3) + (−2) +4?
vekshin1

The <u>answer would be 6</u>. The number line which shows you the number 6 or any solution for 6 would be your answer.

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3 years ago
Robert is looking to buy a deep fryer. He has narrowed his search down to two models. The following table gives the details of t
Zinaida [17]
The total cost for the entire life span of the deep fryer  is computed below:
Brand P total cost =Purchase price + total electricity cost 
                                = $144+($0.49x8x12x6)
                                =$426.24
Brand Q total cost =(Purchase price x 3)+ total electricity cost
                                =( $37.5x3)+($0.75x 8x12x6)
                                =   $544.5
Difference = Brand Q-Brand P
                   =$544.5-$426.24
                   =$118.26
Robert will have to choose Brand P because it will be cheaper by $118.26 than Brand Q in their entire lifetime.
                     
5 0
3 years ago
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Determine the intercepts of the line <br><br> x-intercept (__,__)<br> y-intercept (__,__)
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x-intercept (-40,0)

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