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$30 is 60% of $50.
100 % is the whole figure. Based on the problem, 100 % is separated into two parts, 60% and 40%
100% = 60% + 40%
To get the number where $30 is 60%. Let X be the 100% number.
First, divide all number by 100% to remove the percentage and get the whole number.
100%X = 30 + 40%X
X = 30 + 0.40X
X - 0.40X = 30
0.60X = 30
To get X, divide both sides by 0.60
X = 30 / 0.60
X = 50
To check: Substitute all X by 50.
X = 30 + 0.40X
50 = 30 + (0.40*50)
50 = 30 + 20
50 = 50 EQUAL. CORRECT.
Answer:
a(6) = 37.97
Step-by-step explanation:
If the first term a(1) is 5 and the common ratio r is 3/2, then the general formula for this geometric sequence is
a(n) = 5*r^(n - 1).
Thus, the 6th term is a(6) = 5*(3/2)^(6 - 1), or a(6) = 5(3/2)^5 = 37.97
Answer:
○ 4⁵\4²
Step-by-step explanation:
1. According to the Quotient-to-Power Exponential Rule, whenever you divide terms with exponents and coefficients, you subtract the exponents:
4²\4⁵ = 4⁻³
3. According to the Negative Exponential Rule [Reverse], you bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM POSITIVE TO NEGATIVE:
b⁻ⁿ = 1\bⁿ
However, according to the Negative Exponential Rule, you bring the denominator to the numerator while ALTERING THE INTEGER SYMBOL FROM NEGATIVE TO POSITIVE:
bⁿ = 1\b⁻ⁿ
Anyway, this is what you get using this exponential:
1\4³ = 4⁻³
4. Back to what I said about the <em>Quotient-to-Power</em> Exponential Rule, you subtract the exponents, but in this case, doing that will give you 4³. This is the ONLY uniqueness, while the rest of them are 4⁻³.
I am joyous to assist you anytime.
