Use natural logarithms to solve the equation. round to the nearest thousandth.
3e^2x+2=28
a. 1.0797
b. 0.4689
c. 0.9261
d. 2.1595

A. 1.0797

Step-by-step explanation:

Given the equation,

3e^2x+2=28

To solve for x, first we move 2 to the other side of the equation.

3e^2x = 28-2

3e^2x = 26

Dividing both sides by 3

e^2x = 26/3

e^2x = 8.67

Taking the natural logarithm if both sides

ln(e^2x) = ln8.67

2x = ln8.667

2x = 2.1595

x = 2.1595/2

x = 1.0797

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: