Given function : 
We need to identify a " initial amount", b "growth factor", r " rate of growth".
We know, exponential growth formula
, where a is initial amount, b is growth factor. On comparing with given function let us find values of a and b.
⇔ .
We can see a= 1.05 and b = 1.46.
Now, b=1+r.
Therefore, 1+r =1.46.
Subtracting 1 from both sides, we get
1+r-1 =1.46-1
r = 0.46.
On converting 0.46 into percentage, we get
0.46 × 100 = 46.
Therefore, intial amount a = a= 1.05 , growth factor b = 1.46, and the rate of growth r= 46%.
Answer:
x=-3
Step-by-step explanation:
(4)(2) + 4x = -4
multiply the 4 and 2
8 + 4x = -4
subtract 8 from both sides
4x = -12
divide both sides by 4
x = -3
(a) Let x be the cost of one of Brian's items, then cost of all 4 items bought by Brian will be 4x.
We have been given that Chris bought 3 items that each cost $2.50 more than Brian’s items each cost. The price of each item bought by Chris will be x+2.5. Therefore, the cost of all 3 items bought by Chris will be 
.
(b) We are told that Brian and Chris both paid the same amount of money, so we can equate costs of Brian's 4 items and Chris's 3 items as:
Now let us solve for x by distributing 3.
Therefore, cost of Brian's each item is $7.5.
Now let us find price of Chris's each item.
Therefore, cost of Chris's each item is $10.
(c) Now let us check our solution by substituting x=7.5 in .
We can see that both Brian and Chris spent equal amount of money that is $30, therefore, our solution is correct.
Answer:
A 72
Step-by-step explanation:
