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o-na [289]
2 years ago
12

A

Mathematics
1 answer:
netineya [11]2 years ago
5 0

1.25 percent of 3000=37.5

37.5 times 4=150

3000-150=2850

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Given the following exponential function, identify whether the change
anzhelika [568]

Answer:

Growth, with a 9% increase.

Step-by-step explanation:

Exponential patterns are usually defined by some kind of <em>repeated multiplication</em>. In most exponential patterns we start with some <em>initial value</em> (let's call it a) and some <em>multiplier</em> (let's call it b), and a is multiplied by b some number x times. We capture this as a function y with the equation y=ab^x There are three broad categories for this pattern:

  • <em>No growth/decay </em>- The function has an initial value that never changes. In order for the initial value to stay constant, we need b=1, since multiplication by 1 doesn't change the number it's multiplied by.
  • <em>Growth</em> - The function grows at some exponential rate; for every increase in x, our initial value will be at <em>least</em> as big as it was for smaller values of x, so b>1 in this case. (Example: A bacteria population starts at size 3 and doubles in size every hour; after x hours, there will be 3\cdot2^x bacteria)
  • <em>Decay - </em>The function decays or decreases at some exponential rate; for every increase in x it <em>can't be as large</em> as it was for smaller values of x, so b here. (Example: An Instagram post gets an initial wave of 100 new likes, and every hour it gets half the number of likes as the previous hour, so the number of new likes per hour is 100\cdot(0.5)^x.

In the function y=210(1.09)^x, b>1, so we have exponential <em>growth</em>, but by what percent? Well, for every step in x, we take 1.09 (109%) of the previous value, so that's a 9% increase.

4 0
3 years ago
Solve each inequality.
olga_2 [115]
To solve each inequality, we can use different operations or transposition to simplify the equations or expressions given.
1. m - 7 < 6   m < 13
2. x + 4.5 ≥ 5.5   x  ≥ 1
3. p + 12 > 9    p > -3
8 0
3 years ago
Rob is saving to buy a new MP3 player. For every $11 he earns babysitting, he saves $8. On Saturday, Rob earned $55 babysitting.
kondor19780726 [428]

The answer for ur question will be 40 I believe

7 0
3 years ago
Use the drop-down menus to complete the statements to match the information shown by the graph. A graph has weight (pounds) on t
NISA [10]

Answer:

Your drop down menus have the following choices:

First box: faster than, slower than, at the same rate as.

Second box: greatest x-value, line, y-intercept, slope.

Third box: greater than, less than, equal to.

Fourth box: greatest x-value, x-intercept, y-intercept, slope, origin.

Fifth box: minutes per gallon, gallons per minute.

Pool A is filling up slower than Pool B because the slope of the graph of Pool A is less than that of the graph for Pool B.

The slope of the graph tells you the unit rate in gallons per minute.

Step-by-step explanation:

.

6 0
2 years ago
X- 12 = 5x2 in standard form
Rudik [331]

Answer:

It is: -5x^2 + x - 12 = 0

Step-by-step explanation:

4 0
3 years ago
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