Answer:
12.94
Step-by-step explanation:
By the law of sines:
x / sin(35) = 7.9 / sin70
x = 7.9 * sin(70)/sin(35)
= 7.9 * 0.9397 / 0.5736
= 12.94
Ist amount paid = $1500
Making $350 for 10 months = 10*350 = $3500
Total amount paid = 1500 + 3500 = 5000
So an amount of $5000 was paid to cover the cost of $4500 within the ten month period.
I = PRT
Interest, I = 5000 - 4500 = 500Time, t = 10 months = 10/12 = (5/6) year.Principal P = 4500
R = I /(PT) R = 500 / (4500*5/6)
R = (500*6) / (4500*5)
R = 0.1333..
R ≈ 13.33 % per annum.
1/2
If ABC ~ DEF then 12/6, 16/8, and 18/9 would equal 2
BUT since we are going from a large triangle to a small triangle, our answer needs to be less then one, making our answer 1/2
The steps below are presented in order to arrive to the value of k of the given equation.
First, multiply both sides of the equation by the variable k since the left-hand side of the equation has it in the denominator. This will be,
(k + 12/ k)(k) = 8(k)
Then, we simplify,
k + 12 = 8k
We then, subtract 8k to both sides of the equation,
k - 8k + 12 = 8k - 8k
Simplifying,
-7k + 12 = 0
Then, subtract 12 from both sides of the equation and divide both sides by -7. This will us the final answer of,
k = 12/7
Answer:
x= -5
Step-by-step explanation:
-7x + 5(2x - 1) = -20
-7x + 10x - 5 = -20
3x -5 = -20
3x = -15
x = -5
