Answer:
65
Step-by-step explanation:
Exact Form: n = 201/65
Decimal Form: n = 3.092
Mixed Number Form: n=3 6/65
Answer:
n = 6
Step-by-step explanation:
Givens
r = 4
a = 2
Sum = 2730
Equation
Sum = a(1 - r^n)/(1 - r)
Solution
2730 = 2 (1 - 4^n) / (1 - 4) Reduce the denominator
2730 = 2(1 - 4^n)/-3 Multiply both sides by -3
2730*-3 = 2(1 - 4^n) Simplify the left
-8190 = 2(1 - 4^n) Divide by 2
-8190/2 = 1 - 4^n Simplify
-4095 = 1 - 4^n Subtract 1 from both sides.
-4096 = - 4^n Divide by - 1
4096 = 4^n This looks like n is fairly large. You could use logs. Try n = 6.
4^6 does equal 4096 So your answer is 6.
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Let's try it with logs. Ignore this if you don't know how to do this.
log(4096) = log(4)^n
log(4096) = n*log(4) Divide by log 4
log(4096)/log(4) = n
3.6124 / 0.6021 = n
n = 6
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The hint is very helpful. Make sure you can follow it through
<h3>Composite functions</h3>
When a function is substituted into another function it is known as a composite function.
<u>Given the following functions:</u>
f(x) = 4x + 3
g(x) = x - 2
Determine 
1) Determine the value of 
2) For the function 
3) For the value 
we need to determine 
4) For the function 
learn more on composite functions here: brainly.com/question/10687170
