Answer:
For the function V(t)=24300(1.37)t, the rate of increase is 37%.
Step-by-step explanation:
The function represents the value (V) of the car over time (t). This type of function is exponential growth, which means for each year, the value of the vintage car will increase by a rate of 37%. Exponential growth functions are represented by the equation f(x)=ab^x, where 'a'=initial value, 'b'=the rate and 'x' represents time. In this case, our initial value of the car is $24,300 and the rate is 1.37. A rate of 1.37 indicates that the car will retain its initial value (1) as well as increase be an additional 37 percent (.37) over time.
Answer:

Step-by-step explanation:
We want to simplify:

To simplify this, we need to write the negative index as positive.
So we use the property,

When we apply this property, we get:

Therefore the fourth option is correct.
Step-by-step explanation:
Length of arc of a circle is given as:

Thus, the measure of central angle is 140°.
To equal the step 2, we would have to determine that 20 was our new denominator and multiply the first fraction by 5, the second by 4 and the 2 by 20.
multiplied by sides of the equation by 20