Decay equation= P*(1-r)^t
P= Principal amount= $30,000
r= rate=0.065
t= time (in years) =5
x=30,000(1-0.065)^5
The value of the car in 5 years is approx. $21,438
The 30º-60º-90º triangle is a special case you'd do well to remember, because the legs always occur in the same ratio to one another. As your picture shows (I'm guessing "SL" stands for short leg?), the sides labeled 4, y and x occur in a ratio of 1 to √3 to 2.
This means
sin(30º) = SL/(2*SL) = 1/2
tan(30º) = SL/(√3*SL) = 1/√3
(and also cos(30º) = (√3*SL)/(2*SL) = √3/2, though you don't really need that here)
So in this triangle, x and y satisfy
sin(30º) = 4/x
tan(30º) = 4/y
This comes straight from the definitions of sine and tangent. Then
4/x = 1/2 ==> x = 8
4/y = 1/√3 ==> y = 4√3
Answer:
42
Step-by-step explanation:
If the triangle is translated left 9, this shows that all the x values will decrease by nine, becoming, -15, -5, and -8.
If the triangle is translated up 12, this shows that all the y values will increase by twelve, becoming, 13, 12, and 15.
Thus, the new co-ordinates are <u>X(-15,13), Y(-5,12), Z(-8,15).</u>
Answer:
the function is only increasing.
Step-by-step explanation: