Answer:
The exponential Function is
.
Farmer will have 200 sheep after <u>15 years</u>.
Step-by-step explanation:
Given:
Number of sheep bought = 20
Annual Rate of increase in sheep = 60%
We need to find that after how many years the farmer will have 200 sheep.
Let the number of years be 'h'
First we will find the Number of sheep increase in 1 year.
Number of sheep increase in 1 year is equal to Annual Rate of increase in sheep multiplied by Number of sheep bought and then divide by 100.
framing in equation form we get;
Number of sheep increase in 1 year = ![\frac{60}{100}\times20 = 12](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B100%7D%5Ctimes20%20%3D%2012)
Now we know that the number of years farmer will have 200 sheep can be calculated by Number of sheep bought plus Number of sheep increase in 1 year multiplied by number of years is equal to 200.
Framing in equation form we get;
![20+12h=200](https://tex.z-dn.net/?f=20%2B12h%3D200)
The exponential Function is
.
Subtracting both side by 20 using subtraction property we get;
![20+12h-20=200-20\\\\12h=180](https://tex.z-dn.net/?f=20%2B12h-20%3D200-20%5C%5C%5C%5C12h%3D180)
Now Dividing both side by 12 using Division property we get;
![\frac{12h}{12} = \frac{180}{12}\\\\h =15](https://tex.z-dn.net/?f=%5Cfrac%7B12h%7D%7B12%7D%20%3D%20%5Cfrac%7B180%7D%7B12%7D%5C%5C%5C%5Ch%20%3D15)
Hence Farmer will have 200 sheep after <u>15 years</u>.
Answer:
Pretty good, how are you?
Answer:
<h3>The function formula for the number of pages left to read is given by P(t)=55(10-t).</h3>
Step-by-step explanation:
Given that "Naoya read a book at a rate of 55 pages per hour".
After reading book for 4 hours, he had 330 pages remaining to read.
In 4 hours, Naoya must read is given by
( by given)
![=220](https://tex.z-dn.net/?f=%3D220)
<h3>∴ In 4 hours, Naoya must read 220 pages</h3>
From the given there were 330 pages remaining to read at the time,
The total number of pages is given by
=220+330
=550
<h3>∴ The total number of pages is 550 </h3>
For each hour of reading, Naoya reads 55 pages, so the number of pages he finished reading by the "t"th hour is given by 55t
Let P(t) be the number of pages to read where P is a function of time t (measured in hours)
So the number of pages left to read is given by
P(t)=550-55t
P(t)=55(10-t)
<h3>∴ the function formula for the number of pages left to read is given by P(t)=55(10-t).</h3>
I think the answer be C? Sorry if it's wrong
Answer:
The answer is -2
Step-by-step explanation:
First you do +10 on both sides leaving you with x = -2
And that is your final answer (x=-2)
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!