Answer:
f(9.5) = 558.02.
Step-by-step explanation:
Because it is an exponential function, it can be written: y = (a)(b)^x
Now substitute in the two known points:
72 = (a)(b)^7.5 and
2 = (a)(b)^4 : => since 2 = (a)(b)^2 divide the left side by 2 and the right by (a)(b)^2
72/2 =[(a)(b)^7.5]/[(a)(b)^4]: => the (a) cancels out and b becomes b^(7.5–4)
36 = b^3.5: => To isolate b take the 3.5 root of both sides
{3.5 root}(36) = {3.5 root}(b^3.5)
2.783927 = b
Now to solve for a
2 = (a)(b)^4 => 2 = (a)(2.783927)^4 => 2 = (a)(60.066375) divide both sides by 60.066375 0.0332965 = a
Equation: y = (0.0332965)(2.783927)^x
Now plug in 9.5 for x
(0.0332965)(2.783927)^9.5 = 558.0178525 = 558.02
Answer:
8000
Step-by-step explanation:
Answer:
Before Tax Price: $40.00
Sale Tax: 8.00% or $3.20
After Tax Price: $43.20
Step-by-step explanation:
Answer:
What I got is A. 13.6
Step-by-step explanation:
i did math in journal.
Answer:
Son's age is 14 and father's age is 38
Step-by-step explanation:
The question in English is
Ten years ago my son's age was 1\7 of the father's. Now his ages add up to 52. What is the son's age?
Let
x -----> son's age
y ----> father's age
we know that
------> equation A
-----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
The solution is the point (14,38)
see the attached figure
therefore
son's age is 14 and father's age is 38