4. Using the given formula below, identify the common ratio:
2 answers:
Answer:
2.5
Step-by-step explanation:
Recall that the formula for a geometric sequence is where
is the first term and
is the common ratio.
Thus, the common ratio is since each consecutive term is being multiplied by 2.5 when
is an integer. This tells us that the growth rate of the exponential function is 150% since 100%+150%=250%
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9% of the family income is being spent to pay the energy bill.
If your income is now $2,000.00 and you have withdrawn $180.00 from the value, then we say that the $2,000.00 is equivalent to 100% of the value, that is, the total amount. And the amount that was withdrawn will be X because we still don't know how much percent is equivalent to $ 180.00 of this value.
To solve, we will use the simple rule of three like this:
With this we will multiply the denominator of one with the numerator of the other, being:
- 2000 * X and 180 * 100
- Where: 2000 * x is equal to 2000x
- And 180 * 100 is equal to 18,000
Knowing this, we will solve it this way:
- 2000x = 18,000
To start we will isolate the unknown(x) from the values taking the 2000 to the other side of the equality turning it into the denominator of 18,000.
And to finish, we cut the 3 zeros of the numerator with the d 3 zeros of the denominator getting 18 / 2. Now it's just dividing.
We can conclude that the amount spent to pay the <u>energy bill is equivalent to 9% of the family income</u>.