Answer:
E
Step-by-step explanation:
Hope this helped!
Answer: P(t)=25000(1.12)^t
Step-by-step explanation:
Answer:
length = 6 yards
width = 3.5 yards
Step-by-step explanation:
the length of a rectangle is 1 yard less than twice the width
LEt 'w' be the width of the rectangle
and 'l' be the length of the rectangle
length l = 2 times the width -1
so l = 2w -1
Area of the rectangle = length * width
Area = l * w
we know length is 2w-1 and given area = 21
21 = (2w-1) * w

subtract 21 on both sides

now solve for 'w'

0 = 2w(w+3)-7(w+3)
0= (2w-7)(w+3)
2w-7 = 0 and w+3 =0
w = 7/2 w=-3
width cannot be negative so we ignore w=-3
width w= 3.5
length = 2w-1= 2(3.5) - 1= 7-1=6
length = 6 yards
First establish variables for current age.
Clive's current age = c
Sherman's current age = s
<span>"Three years ago,"
Clive was: (c - 3)
Sherman was: (s - 3)
</span><span>"Sherman was twice as old as Clive."</span><span>
(s - 3) = 2(c - 3)
Then in terms of Sherman's present age, distribute 2, combine like terms
s - 3 = 2c - 6
s = 2c - 6 + 3
s = 2c - 3
</span>
Answer:
Total number of ways to distribute the prize = 2187

Step-by-step explanation:
Given:
Number of prizes = 7
Number of peoples = 3
We need to find the total number of ways to distribute the prize.
Solution:
From the above statement, 7 prizes are to be distributed between 3 people, wherein each person gets at least one prize.
Each prize is to be distributed among three persons. When the first prize is to be awarded, one of the three is chosen to win the prize. When the second prize is to be awarded, there are again three choices.
So, total number of distribution of the prizes is given as:


Therefore, total number of ways to distribute the prizes = 2187