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algol [13]
3 years ago
7

A certain quantity grows exponentially over time. The initial quantity at t = 0 is 1,000. The quantity grows by a factor of 3%.

What is the quantity at t = 5 to the nearest whole number? A. 116 . B. 1126 . C.1159 . D. 3713 .
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
8 0
<span>1000*(1.03) = 1030 at t = 1
 
1000*(1.03) = 1060.9 at t = 2

1000*(1.03) = 1092.727 at t = 3

1000*(1.03) = 1125.508 at t = 4

1000*(1.03) = 1159.274 at t = 5

So i think the answer would be : C. 1159

Hope this helps</span>
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When 6 is added to 4 times a number the result is 50 . what is the number​
Andre45 [30]
11 is the answer


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3 years ago
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5) Consider the equation : y=7x+8
vekshin1

The correct students about the function are;

B: The function represented by the table has a greater rate of change.

C: The function y = 7x + 8 has the greatest  y-intercept.

<h3>How to Interpret the Function Table?</h3>

We are looking at the equation;

y = 7x + 8

The general equation of a line in slope intercept form is;

y = mx + c

where;

m is slope

c is y-intercept

Thus, the slope of the given equation is 7 while the y-intercept is 8.

From the table, the rate of change which is also  is simply the slope from the formula;

m = (y₂ - y₁)/(x₂ - x₁)

m = (32 - 16)/(4 - 2)

m = 8

Looking at the given options, only options that are correct are Options B and C.

Read more about Function Table at; brainly.com/question/9404442

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4 0
1 year ago
I'm confused<br>What is the answer?​
forsale [732]

If <em>c</em> > 0, then <em>f(x</em> - <em>c)</em> is a shift of <em>f(x)</em> by <em>c</em> units to the right, and <em>f(x</em> + <em>c)</em> is a shift by <em>c</em> units to the left.

If <em>d</em> > 0, then <em>f(x)</em> - <em>d</em> is a shift by <em>d</em> units downward, and <em>f(x)</em> + <em>d</em> is a shift by <em>d</em> units upward.

Let <em>g(x)</em> = <em>x</em>. Then <em>f(x)</em> = <em>g(x</em> + <em>a)</em> - <em>b</em> = (<em>x</em> + <em>a</em>) - <em>b</em>. So to get <em>g(x)</em>, we translate <em>f(x)</em> to the left by <em>a</em> units, and down by <em>b</em> units.

Note that we can also interpret the translation as

• a shift upward of <em>a</em> - <em>b</em> units, since

(<em>x</em> + <em>a</em>) - <em>b</em> = <em>x</em> + (<em>a</em> - <em>b</em>)

• a shift <em>b</em> units to the right and <em>a</em> units upward, since

(<em>x</em> + <em>a</em>) - <em>b</em> = <em>x</em> + (<em>a</em> - <em>b</em>) = <em>x</em> + (- <em>b</em> + <em>a</em>) = (<em>x</em> - <em>b</em>) + <em>a</em>.

6 0
3 years ago
The formula for the circumference of a circle is c= 2pi r, where r is the radius. Rearrange the formula to solve for our and sel
ratelena [41]

Answer:  r = C/(2pi)

This is the same as writing r = \frac{C}{2\pi}

=========================================================

Explanation:

pi is some number (approximately 3.14) which means 2pi is also some number (roughly 6.28)

Saying c = 2pi*r means we have 2pi times r, and the result is the circumference c. To isolate r, we'll undo the multiplication. We'll undo it by dividing both sides by 2pi like so

C = 2pi*r

C/(2pi) = r

r = C/(2pi)

in which we can write it like r = \frac{C}{2\pi}

So whatever C is, we divide it over 2pi (aka roughly 6.28) to get the radius.

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

Extra Info (Optional Section):

As an example, let's say the circumference of the circle is 628 feet. This means the distance around the circle is 628 feet. So C = 628 would lead to...

r = C/(2pi)

r = C/(6.28)

r = 628/(6.28)

r = 100

So the radius would be roughly 100 feet.

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ludmilkaskok [199]

Answer:

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Step-by-step explanation:

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