Answer:
Step-by-step explanation:
1) For each situation to grow or decay by a constant percent rate, it must be exponential. Therefore, the correct examples are
A. The number of cars sold doubles every year. It is a 200% growth every year.
D. Each time you start a car engine the remaining engine life decreases by 0.0075%. A case of decay
E. The number of people creating cat videos increases by 15% percent every year.
F. Computer technology increases by a factor of 3 every five years.
2) this is a case of exponential decay. The expression for exponential decay is
y = b(1 - r)^t
y = final value
b = initial value
r = decay rate
t = time
Given that
r = 10% = 10/100 = 0.1
b = 50 kilograms
y = W kilograms
The relationship is
W = 50(1 - 0.1)^t
W = 50(0.9)^t
6.5 liters per 100 km travelled. 30% of 5 is 1.5, so adding this to the original amount results in 6.5
Answer: 0.6 in 10 % ; 0.4 in 15 %
Step-by-step explanation:
1. (x*10%) + (y*15%)/ x+y=12%
2. x+y = 1 x= 1-y
(0.1x + 0.15y/ x+y= 12/100) * 100
(10x + 15y/x+y = 12)*(x+y)
10x+15y= 12x + 12y
-2x=-3y
2x = 3y 2(1 - y)= 3y
2-2y=3y 2= 5y
y= 0.4
x= 0.6
Answer:sinA=8/17
Step-by-step explanation:
Using Pythagoras principle
x=√(15^2+8^2)
x=√(15x15+8x8)
x=√(225+64)
x=√(289)
x=17
SinA=opposite/hypothenus
SinA=8/17
First find the multiplier: 5.5% + 1 = 1.0505.
Then we do amount x (multiplier) to the power of how many years.
300 x (1.0505)^5
The answer is <span>383.79696707.
We round this to 2dp, making it £393.80
REMEMBER UNITS!!!
Hope this helps xox :)</span>
