(n+7)2
= (n)(2) + (7)(2)
=2n+14
Answer:
C. 18 months
Step-by-step explanation:
Given data
Principal= P1500
rate= 12%
Simple interest= P270
We know that
Simple interest= PRT/100
substitute
270= 1500*12*T/100
cross multiply we have
270*100= 1500*12*T
27000= 18000
T
divide both sides by 18000
T= 27000/18000
T=1.5 years
That is 12 months + 6 months
in all = 18 months
The time is C. 18 months
<u>Given</u>:
Given that Jasmine rides her bike 9 miles in 50 minutes.
We need to determine the speed per hour.
<u>Time per hour:</u>
The time taken is 50 minutes. We need to convert minutes into hours.
Thus, we have;
Thus, the time taken to cover 9 miles is
<u>Speed:</u>
The speed can be determined using the formula,
Substituting the values, we have;
Simplifying, we get;
Thus, Jasmine's speed is 10.8 miles per hour.
Answer:
Step-by-step explanation:
Area of a trapezium is the average of the parallel sides times the distance between them.
If we subtract 15 units from each of the parallel sides, we end up with a triangle that has two sides of 8 units and one of 10 units. One of the 8 unit sides is the base and we need to find the height h which is perpendicular to this base.
Let the base be split into two segments, call one A, the other will be 8 - A
From Pythagoras.
10² - A² = h² = 8² - (8 - A)²
10² - A² = 8² - (8 - A)²
100 - A² = 64 - (64 - 16A + A²)
100 - A² = 64 - 64 + 16A - A²
100 = 16A
A = 6.25
h = √(10² - 6.25²)
h = √60.9375
A = ½(15 + 23)√60.9375
A = 148.31870246... ≈ 148.3 cm²