Answer:
A) a = 1050 and b = 0.81
B) 3.3
Step-by-step explanation:
Original price of the computer = $ 1050
Rate of decrease in price = r = 19%
This means, every year the price of the computer will be 19% lesser than the previous year. In other words we can say that after a year, the price of the computer will be 81% of the price of the previous year.
Part A)
The exponential model is:

Here, a indicates the original price of the computer i.e. the price at time t = 0. So for the given case the value of a will be 1050
b represents the multiplicative rate of change i.e. the percentage that would be multiplied to the price of previous year to get the new price. For this case b would be 81% or 0.81
So, a = 1050 and b = 0.81
The exponential model would be:

Part B)
We have to find after how many years, the worth of the computer will be reduced to half. This means we have the value of v which is 1050/2 = $ 525
Using the exponential model, we get:

Taking log of both sides:

Thus, after 3.3 years the worth of computer will be half of its original price.
For this case we must indicate an expression equivalent to:

By definition of properties of powers and roots we have that:
![\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20m%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bm%7D%20%7Bn%7D%7D)
Then, we can rewrite the expression as:

Answer:
OPTION A
Answer:
percentage decrease,20%
Step-by-step explanation:
50_40 books=,10 bus
10|50 ×100%=20%
<h2><u>
Answer: A. 15x = 10</u></h2>
Step-by-step explanation: 15 x 2/3 = 10.
-zomba
Answer:
A) $93,504.818
B) $40,000
C) $53,504.818
Step-by-step explanation:
Yearly contribution ( periodic payment) = $4000
Period (p) = 10years
Additional period(y) = 5years
Annual interest(r) = 9% = 0.09
Future value (FV) =
periodic payment [(1 + r)^y - 1] / r
4000 [(1 + 0.09)^10 - 1 / 0.09]
4000[1.09^10 - 1 / 0.09]
4000[1.3673636 / 0.09]
4000(15.192929)
= 60771.716
If left for five more years:
FV = 60771.716(1 + r)^n
FV = 60771.716(1 + 0.09)^5
FV = 60771.716(1.09)^5
FV = 60771.716(1.5386239549)
FV = $93,504.818
B) MR. HUGHES CONTRIBUTION :
Periodic payment × p ; $4000 was deposited annually for 10 years.
$4000 × 10 = $40,000
C) Interest = Future value - contribution
$93,504.818 - $40,000
= $53,504.818