Answer:
1073.38
Step-by-step explanation:
975 × 0.01 = 9.75
9.75 + 975 = 984.75
984.75 × 0.09 = 88.6275
88.6275 + 984.75 = <u>1073.38</u>
Answer:
Step-by-step explanation:
Factoring will reveal the solution. So we divide the equation by the greatest common factor of the terms and use that factor as the coefficient. In this case the greatest common factor is just x.
2x^2+5x
x(2x+5) so the equation will equal zero when either of those expressions is zero because zero times anything is zero. x=0 and x=-5/2
No, 56 is a multiple of 7 though.
a) Remember that the y-intercept of a exponential function

is

, so the only thing to do to find the y-intercept in our functions is evaluate it at t=0:




We can conclude that the y-intercept of our function is (0,50), and it represents the initial bacteria population in the sample.
b) To find if the function is growing or decaying, we are going to convert its decimal part to a fraction. Then, we will compare the numerator and the denominator of the fraction. If the numerator is grater than the denominator, the function is growing; if the opposite is true, the function is decaying.
Remember that to convert a decimal into a fraction we are going to add the denominator 1 to our decimal and then we'll multiply both of them by a power of ten for each number after the decimal point:

Now we can rewrite our exponential function:

Since the numerator is grater than the denominator, it is growing faster than the denominator; therefore the function is growing.
c) The only thing we need to do here is evaluate the function at t=5:




We can conclude that after 5 hours <span>Dr. Silas began her study will be 268.9 bacteria in the sample.</span>
Answer:
Step-by-step explanation:
In cm 2= 60000