Answer:
6√3
Step-by-step explanation:
V = 648•(3½) = 8•81•(3½) where the SQUARE ROOT OF 3 has been written with a fractional exponent V = s3
so s = cube root of this V.
Cube root of 8 is 2; cube root of 81 is 3•3^(1/3) and cube root of square root of 3 is 3^(1/6).
Therefore s = 2•3•3^(1/3 + 1/6) = 2•3•3½ = 6√3.
You will need to get s2 = 36•3 = 108. Finally, T.S.A. = 6 s2 = 6(108) = 648.
Answer: $10000
Step-by-step explanation:
From the question,
Principal = $43000
Time = 5 years
Rate = Unknown
Simple Interest = $51,600 - $43000 = $8600
We need to calculate the rate of interest which will be:
Interest = PRT/100
8600 = (43000 × 5 × Rate) / 100
Cross multiply
8600 × 100 = 215000 × Rate
Rate = 860000 / 215000
Rate = 4%
Assuming Justine borrowed $50,000 instead, the yearly Interest will be:
= (50000 × 5 × 4%)
= 50000 × 5 × 0.04
= $10000
Answer:
y = -3/2x + 13
Step-by-step explanation:
(6,4) and (2,10)
Slope:
m=(y2-y1)/(x2-x1)
m=(10-4)/(2-6)
m=6/(-4)
m = -3/2
Point-slope intercept:
y - y1 = m(x - x1)
y - 4 = -3/2(x - 6)
y - 4 = -3/2x + 9
y = -3/2x + 13
In order to do this we need to make them both fractions, or both decimals. It's much easier to make them both decimals, as you can get
into decimal form by simply dividing 1 by 5.
If 1/5 = .20, then 1/5 is greater than .15!
Answer:
42%
Step-by-step explanation:
Water wasted last year = 75,900 gallons
Water wasted this year = 44,022 gallons
Percentage decrease in the amount of water wasted yearly = (Water wasted last year - Water wasted this year) / Water wasted last year × 100
= (75,900 - 44,022) / 75,900 × 100
= 31,878 / 75,900 × 100
= 0.42 × 100
= 42%
Percentage decrease in the amount of water wasted yearly is 42%