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Yakvenalex [24]
3 years ago
12

Given the following exponential function, identify whether the change represents growth or decay , and determine the percentage

rate of increase or decrease y =550(1.075)x
Mathematics
1 answer:
jenyasd209 [6]3 years ago
8 0

Answer:

It is growth and the percentage rate of increase is 7.5%

Step-by-step explanation:

The exponential equation is as follows;

y = 550(1.075)^x

Now, I can identify that the exponential equation is that of growth.

This is because what is in the bracket i.e can be represented as 1+ 0.075

The 0.075 represents the margin of increase as we move on from one value to another

The percentage rate can be gotten by expressing 0.075 as a percentage

That would be expressing is as a fraction

This is just 7.5/100 which means what we have is 7.5%

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Step-by-step explanation:

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Hope this help

I'm a also a K12 kid too btw.

3 0
3 years ago
Which of the following points lies on the line perpendicular to
sergij07 [2.7K]

Answer:

Step-by-step explanation:

recall that perpendicular lines have slopes that are opposite reciprocals. if u don't know what opposite reciprocals are, according to study.com they are, "The term opposite reciprocals refers to two numbers that have opposite signs and are flipped fractions of each other." for example, 1/2 and -2 are opposite reciprocals.

also recall that the formula to find the slope of a line is m=y2-y1/x2-x1

to solve this problem, we need to go through all of the options and find the slope of that line using the given point and point (0,4). After that, we need to check if that slope is equal to 1. One is the opposite reciprocal of -1, and -1 is the slope of the equation y= -x+4. if the slope is equal to 1, the line will be perpendicular to the line y= -x+4.

lets do the math now:

option a)

m=y2-y1/x2-x1

m=12-4/6-0

m=8/6

m=4/3

this line isnt perpendicular to y= -x +4 cuz the slope is 4/3, which isnt equal to 1

option b)

m=y2-y1/x2-x1

m=0-4/6-0

m=-4/6

m= -2/3

this line isnt perpendicular to y= -x +4 cuz the slope is -2/3, which isnt equal to 1

--------------

ok girl i dont wanna do all the rest of the calculations. just keep doing the same thing with all the other options until you find something that has a slope of 1.

toodles! :)

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CHECK ANSWERS -
Tju [1.3M]
Both are correct.

Good job!
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Ava buys a book for 8.58. She pays with a $10 bill. How much charge will she get
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3 years ago
Read 2 more answers
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