Answer:
y=-1/6x-2
Step-by-step explanation:
Lets find the slope of the given line
6x-7=y,m=6
The slope of the perpendicular line would be=-1/6
Using the point-slope form y-y1=m(x-x1)
y--1=-1/6(x--6)
y+1=-1/6(x+6)
6y+6=-x-6
6y=-x-6-6
6y=-x-12
y=-1/6x-2
Monthly interest, i = APR/12 = 0.06/12 = 0.005
Monthly payment, A = $450
Period, n = 36 (months)
Future value of payment
= A((1+i)^n-1)/i
= 450((1.005^36-1)/0.005
= 17701.2472341
Future value of car
F = future value of payment + residual value
= 17701.2472341 + 20000
= 37701.2472341
Present value of car
= downpayment + present value of future payments
= 1500 + F/(1+i)^36
= 1500 + 37701.2472341/(1.005^36)
= 1500 + 31504.86
= 33004.86
Answer:
z = 30.45 feet
Step-by-step explanation:
The volume (V) of a triangular prism is calculated as
V = area of triangular end (A) × length
Here V = 913.5 and length = 15, thus
A × 15 = 913.5 ( divide both sides by 15 )
A = 60.9 ft²
The area of the triangle = bh ( b is the base and h the height ), thus
× 4 × z = 60.9
2z = 60.9 ( divide both sides by 2 )
z = 30.45
Answer:
The height of the statue is 21.4 feet
Step-by-step explanation:
We are given
A person is standing 50 ft from a statue
The person looks up at an angle of elevation of 16 degree when staring at the top of the statue
hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue
Firstly, we will draw diagram
In triangle ABF:
FC=50
we can use trig formula
now, we can find x
In triangle DEF:
we can use trig formula
we can see that
height of statue =x+y
so, the height of statue is