Solve for r to two decimal places. 8=e^4r
r = .
(Do not round until the final answer. Then round to the nearest hundredth as needed.)

r = 0.52 to the nearest hundredth

Step-by-step explanation:

Here, given that ;

e^4r = 8

We want to find the value of r

To do this, we will need to find the ln of both sides

Mathematically;

ln(e^4r) = ln 8

4r ln e = ln 8

Mathematically; ln e = 1

Thus;

4r = ln 8

4r = 2.07944154168

r = 2.07944154168/4

r = 0.51986038542

To the nearest hundredth, r = 0.52

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get