Answer:
a(n)=1.15[a(n-1)]
Step-by-step explanation:
we know that
Let
a0 -----> the length of the original copy
<em>The first copy is equal to</em>
a1=1.15(a0)
<em>The second copy is </em>
a2=1.15[1.15(a0)] or a2=1.15[a1]
<em>The third copy is</em>
a3=1.15{1.15[1.15(a0)]} or a3=1.15[a2]
therefore
A recursive formula will be
a(n)=1.15[a(n-1)]
The rigth equation to anticipate the profit after t years is p(t) = 10,000 (1.075)^t
So, given that both store A and store B follow the same equations but t is different for them, you can right:
Store A: pA (t) 10,000 (1.075)^t
Store B: pB(t'): 10,000 (1.075)^t'
=> pA(t) / pB(t') = 1.075^t / 1.075^t'
=> pA(t) / pB(t') = 1.075 ^ (t - t')
And t - t' = 0.5 years
=> pA(t) / pB(t') = 1.075 ^ (0.5) = 1.0368
or pB(t') / pA(t) = 1.075^(-0.5) = 0.964
=> pB(t') ≈ 0.96 * pA(t)
Which means that the profit of the store B is about 96% the profit of store A at any time after both stores have opened.
Answer:
a. 28.8
Step-by-step explanation:
Using the theorem of similarity, the following equation can be generated:
Solve for x
Cross multiply
Divide both sides by 25
x = 28.8
Answer:
true
Step-by-step explanation:
Answer:
d) 5/3 x
Step-by-step explanation:
You substitute a for 2c and b for 5d, so your equation will look like this:
c/d - 2c/5d = x
Then you just simplify into x by making c/d into 5c/5d so you have a common denominator.
5c/5d - 2c/5d = x
3c/5d = x
5/3 is your answer