Answer:
5 years.
Step-by-step explanation:
Every year the population increases by a factor 103.5% or 1.035.
The equation relating population and time in years is:
P = 6000(1.035)^t (This is an example of exponential growth)
So we have:
7100 = 6000(1.035)^t
(1.035)^t = 7100/6000
(1.035)^t = 1.1833
t ln 1.035 = ln 1.1833
t = ln 1.1833/ln 1.035
= 4.89.
Answer:
24.30 Difference, sale price 56.70
Step-by-step explanation:
30% off 81.00 is 56.70
The difference is 24.30
Answer:
A. 9x^4 and 3x^5y
Step-by-step explanation:
there are two ways to solve this:
first way:
You can solve this my substituting numbers for x and y in this case i used 2 for x and 3 for y and see which one is equal to the original equations
the second way is the regular way
when you add or subtract numbers with variables and exponents you want to add the constants and add the exponents in this case 
is the same as 
= 
and you can do the same process for subtraction
= 
Answer:
Step-by-step explanation:
Assuming the decay factor, m = 0.0005
f(x) = 
f(9000) = 
= 1 - 0.0111 = 0.99
Answer:
8 months and $320
Step-by-step explanation:
To find when 30m + 80 = 40m, isolate m.
30m + 80 = 40m
Subtract 40m from both sides.
-10m + 80 = 0
Subtract 80 from both sides.
-10m = -80
Divide both sides by -10
m = 8
To find the cost, substitute 8 as m in one of the equations.
40(8) = 320
