Answer:
x = 42
Step-by-step explanation:
You can set up an equation to solve for the missing variable. Divide 2/7 on both sides.
2/7(x) = 12
x = 42
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:
A suitable financial calculator can give you the answer more or less directly. Here, we find that the answer choices presented are the result of improper calculation. The multiplier was rounded to 5 decimal digits before it was used to compute the amount. As a consequence the numbers shown in your problem statement are incorrect. The only number that should be rounded is the final answer.
1. The correct amount is $14,141.98. The best of the available choices is
... $14,142.03
2. The correct amount is $10,754.65. The best of the available choices is
... $10,754.61
_____
In each case, the multiplier is (1 + r/n)^(nt), where r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years. Since you want results good to 7 significant digits, your value of multiplier must be good to at least 8 significant digits.
For problem 1: (1 + .06/4)^(4·5) = 1.015^20 ≈ 1.3468550
For problem 2: (1 + .12/12)^(12*2) = 1.01^24 ≈ 1.2697346
The final account balance is the initial balance multiplied by the corresponding multiplier value.
308,294 is the answer because you translate every place.
~JZ
Hope it helps