Timothy paid $27,000 for a new truck. if the value of the truck depreciates 11% for each year of his ownership, what is the minimum number of years needed for the vehicle's value to be less than $10,000.

The minimum number of years needed for the vehicle's value to be less than $10,000 is 9 years

SOLUTION:

Given, Timothy paid $27,000 for a new truck.  

The value of the truck depreciates 11% for each year of his ownership,  

We have to find what is the minimum number of years needed for the vehicle's value to be less than $10,000.

Let the number of years be n.

Now we can use the below formula to find the minimum number of years.

Now, present value < 10000

Now, let us use trail and error method, put n = 8

Then, 0.3936 < 0.3703, wrong, so put n = 9, ⇒ 0.3503 < 0.3703 correct.

Hence, it takes 9 years.

36 is the final answer! : )

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.