Answer:
y = -6
Step-by-step explanation:
To simplify this equation as much as possible, we have to get the variable y by itself.
To do this, we would do the inverse operation of subtraction and add 7 to the left and right side of the equation.
-7 + 7 + 5y = -37 + 7
The 7s cancel out on the left side because -7+7 = 0 and so we are left with,
5y = -30
Then we would do the inverse operation of multiplication and divide by 5 on the left and right side of the equation.
5y/5 = -30/5
y = -6
The vertex angle bisector divides the triangle into two congruent right triangles. The sine of half of the vertex angle will be half of the base divided by the side (from the definition of the sine of an angle). Then the total vertex angle is ...
α = 2×arcsin(3.5/5) ≈ 88.9°
_____
Using the Law of Cosines, the vertex angle can be found as
arccos((7^2 -5^2 -5^2)/(-2*5*5)) = arccos(1/50) ≈ 88.9°
Answer: $2,833.47
Step-by-step explanation:
Part 1:
n = [lnA - lnP] / ln(1 + i)
n = [ln15000 - ln10000] / ln(1 + 0.03)
n = [9.6158 - 9.2103] / 0.0296
n = 13.70
13 years, 8 months, and 12 Days
Part 2:
P = A / [(1 + i)n]
P = 15000 / [(1.03)4]
P = 15000 / 1.1255
P = $13,327.31
Part 3:
A = 10000 (1 + 0.04)5
A = $12,166.53
The amount of money you need to save to buy a car at $15,000 would be;
$15,000 - $12,166.53
=> $2,833.47
Answer: 1/4:1 1/4 = 2:b
↓
1/4 / 5/4 = 2/b
4/4 * 5 = 2/b
1/5 = 2/b
b/5 = 2
b = 2 * 5
b = 10
Step-by-step explanation:
5, 3,-7,-8 is greatest to least
