Answer:
The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.
Step-by-step explanation:The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.
it would be $61 because 5 rounds up
Answer: In June 2097
Step-by-step explanation:
According to the model, to find how many years t should take for 
we must solve the equation 
. Substracting 21100 from both sides, this equation is equivalent to 
.
Using the quadratic formula, the solutions are 
and 
. The solution 
can be neglected as the time t is a nonnegative number, therefore 
.
The value of t is approximately 85 and a half years and the initial time of this model is the January 1, 2012. Adding 85 years to the initial time gives the date January 2097, and finally adding the remaining half year (six months) we conclude that the date is June 2097.
Answer:
<h3>Daniel is correct</h3>
Step-by-step explanation:
Given the polynomial P(x) = x^2-3x-10
To check that the remainder is zero if divided by x - 5, we will first have to equate x - 5 to zero and get x;
x - 5 = 0
x = 5
Then find P(5)
P(5) = 5^2 - 3(5) - 10
P(5) = 25 - 15 - 10
P(5) = 25-25
P(5) = 0
<em>This shows that x - 5 is a factor of the polynomial since P(5) gave us zero according to the factor theorem</em>
