First, lets create a equation for our situation. Let
be the months. We know four our problem that <span>Eliza started her savings account with $100, and each month she deposits $25 into her account. We can use that information to create a model as follows:
</span>
<span>
We want to find the average value of that function </span>from the 2nd month to the 10th month, so its average value in the interval [2,10]. Remember that the formula for finding the average of a function over an interval is:
. So lets replace the values in our formula to find the average of our function:
![\frac{25(10)+100-[25(2)+100]}{10-2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B25%2810%29%2B100-%5B25%282%29%2B100%5D%7D%7B10-2%7D%20)
We can conclude that <span>the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.</span>
Answer:
They have 83 dogs and 50 birds.
There are 133 animals in total in the shelter.
Step-by-step explanation:
So let's call the dogs D and the birds B.
D = 25% + B
What ever the amount of animals, the total for D must always be 25% more than B.
To get 100% of the animals, B must equal 37.5% and D must equal 62.5%.
The way I worked this out was:
100% - 25%= 75%
75% divided by 2= 37.5%
37.5% + 25%= 62.5%
And just to check
37.5% + 62.5% = 100%
So to work out 100%:
37.5% = 50
divide both by 37.5 to get 1%
1% = 1.333333
time both by 62.5 to get 62.5%
62.5% = 83.333313
We'll round that answer because I'm pretty sure they don't have a .333313th of a dog.
So D = 62.5% = 83
They have 83 dogs and 50 birds.
Phew! That was the hard part. Now onto something wayyy easier.
To get the total number of animals in the shelter we just do 83 + 50, which is 133.
There are 133 animals in total in the shelter.
Hope this helps you :)
Each day his study time is increasing. Find a common denominator, in this case 8
1/4 = 2/8
5/8 = 5/8
1 = 8/8
So he went from
2/8 to 5/8 to 8/8 which is an increase of 3/8 each day. If this pattern continues Thursday would be 11/8 and Friday 14/8.
14/8 = 1 6/8 = 1 3/4 hours
(an hour and 45 minutes)
It is B just use a calculator hope it helped
Step-by-step explanation:
You need to translate all the points to the right 3 and up 6
Therefore, you are going to use this formula:
(x,y) ⇾ (x + 3, y + 6)
This is the same format as the previous problem, if you have noticed.
Using this, plug in each coordinate, starting with P (5, -1)
(5, -1) ⇾ ( 5 + 3, -1 + 6)
(5, -1) ⇾ ( 8, 5 )
P
= (8, 5)
Now point Q, (0, 8)
(0, 8) ⇾ (0 + 3, 8 + 6)
(0, 8) ⇾ ( 3, 14 )
Q = (3, 14)
And last but not least, the point R, (7, 5)
(7, 5) ⇾ (7 + 3, 5 + 6)
(7, 5) ⇾ ( 10, 11 )
R = (10, 11)
Therefore, P = (8, 5), Q = (3, 14), R = (10, 11) is your answer. This is the 4th option or D.
Hope this for you to understand this a bit more! =D
