For this case, the first thing we must do is define variables.
We have then:
f: number of points that fabio scored.
c: number of points that Carlos scored.
We now write the equation that models the problem:

Then, for f = 31 we have:

From here, we clear the number of points:




Answer:
The equation to find the number of carlos points is:

Then, Carlos scored:

This is a simple exercise with rates.
You just have to divide the total profit of the store, that year, per the profit of the particular store.
[3.0479×10⁸ dollars] ÷ [2.102×10⁶ dollars] = 1,45 x 10²
Answer:
t = 137.9 years
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential growth function:
A = P (1 + r) t
Where:
p = original population
r = growing rate (decimal form)
t= years
A = population after t years
Replacing with the values given:
A = 6,250 (1 + 3.75/100)^t
A = 6,250 (1 + 0.0375)^t
A = 6,250 (1.0375)^t
1915-1890 = 25 years passed (t)
A = 6,250 (1.0375)^25
A = 15,689
1940-1890 = 50 years passed (t)
A = 6,250 (1.0375)^50
A = 39,381
- When will the population reach 1,000,000?. We have to subtitute A=1000000 and solve for t.
1,000,000= 6,250 (1.0375)^t
1,000,000/ 6,250 =(1.0375)^t
160 = 1.0375^t
log 160 = log 1.0375^t
log 160 = (t ) log 1.0375
log160 / log 1.0375= t
t = 137.9 years