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Blababa [14]
3 years ago
15

You anticipate that a $2000 investment in a local business will pay an average of 4% interest in each of the next 5 years. Deter

mine to the nearest dollar the amount of the investment at the end of 5 years.
Mathematics
1 answer:
Dovator [93]3 years ago
7 0
Since this is a problem in exponential growth/decay, y = ab^x is the formula that will be used to solve this problem.

The initial value, "a", is the value you start out with and in this case, it is $2000. 

The growth/decay factor is what "b" represents, and it is 4%. We need to change the percentage into a decimal, so we will take the percent symbol, change it into a decimal, and move it two places to the left. This is make it 0.04. The problem also mentions interest, implying an exponential growth. Therefore, you will add 0.04 by 1: 1+0.04 = 1.04. 

The "x" represents an amount of time. It is 5 years. The equation should be written like this: 

y = 2000(1.04)^5
y = 2433.30. When rounded to the nearest dollar, it is $2433. 

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A scale drawing of a living room is shown below 5.5 inches and 3 inches scale 1:30 what is the area of the actual living room? R
Ostrovityanka [42]

Answer:

<em>14850 inches</em>

Step-by-step explanation:

The complete question is...

A scale drawing of a living room is shown below:

A rectangle is shown. The length of the rectangle is labeled 5.5 inches. The width of the rectangle is labeled 3 inches. The scale is 1 to 30.

What is the area of the actual living room in square feet? Round your answer to the nearest whole number.

The ratio of the scale = 1:30

This means that the dimensions of the drawing has been reduced to 1/30 of the actual building's dimensions.

We first scale up the drawing to 30 times to get the dimensions of the actual building.

The length on the drawing = 5.5 inches

The real length of the actual building = 5.5 x 30 = 165 inches

The width of the drawing = 3 inches

The width of the actual building = 3 x 30 = 90 inches

The area of the actual building = length x width

==> 165 x 90 = <em>14850 inches</em>

7 0
3 years ago
A scuba diver descends in the water at a rate of 23 1/2
Makovka662 [10]

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1 ft.

Given:

A scuba diver descends in the water at a rate of 23 1/2  feet per minute for 2.6 minutes.

A scuba diver ascends at a rate of 28 feet per minute for 2 minutes after seeing a big fish.

To find :

The scuba diver's position relative to sea level after the 4.6 minutes.

Solution:

Rate of a scuba diver descending in the water for 2.6 minutes = R _1

R_1= 23\frac{1}{2}ft/min=\frac{47}{2} ft/min

Distance covered by a scuba diver in 2.6 minutes = d_1

d_1=R_1\times 2.6min=\frac{47}{2} ft/min\times 2.6 min=61.1 ft

Rate of a scuba diver ascending for 2 minutes = R _2

R_2= 28ft/min

Distance covered by a scuba diver in 2 minutes = d_2

d_2=R_2\times 2min=28 ft/min\times 2 =56 ft

The position of scuba diver after 4.6 minutes relative to sea level:

d_1-d_2=61.1 ft-56 ft=5.1ft

The scuba diver's position relative to sea level after the 4.6 minutes is 5.1ft.

Learn more about ascending rate and descending rate here:

brainly.com/question/1477877?referrer=searchResults

brainly.com/question/1072871?referrer=searchResults

3 0
2 years ago
The sum of the roots of the equation x 2 + x = 2 is:
julsineya [31]
Hello : 
x²+x - 2 =0
a=1   b=1   c = -2
<span>The sum of the roots is : S = -b/a 
</span>S = - 1/1 = -1 
4 0
3 years ago
Read 2 more answers
Write two equivalent ratios. 7 : 6
jekas [21]

Answer:

4:3 or 1:0

Step-by-step explanation:

4 0
3 years ago
Please help!!!!! Pre algebra (8th grade math) 2 questions double the points!!! At least help me with one;( Very easy but I’m not
dusya [7]

Answer:

11.)

We can let the scores we don't know by x, and we know that tokay had 14 more points than Lodi. This can be shown as the following:

x + (x+14) = 162

2x+14=162

162-14= 148

148/2 = 74

Therefore Lodi scored 74 points.

12.)

We can substitute the prices we don't know by x and have the following:

4x+x=6.50

5x=6.50

6.50/5= 1.3

4x1.3= 5.2

Therefore the sandwich cost $5.20 and the drink costs $1.30

8 0
3 years ago
Read 2 more answers
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