PLEASE HELP!!The number of members of an online community increases each month. The function M(t) = N(1+r)t represents the numbe
r of members at month t, where N is the initial number of members and r is the rate of increase. Select the correct statement.
2 answers:
Answer:
The correct option is B.
Step-by-step explanation:
The number of members of an online community increases each month. It is represented by the function
Where N is the initial number of members and r is the rate of increase.
The initial value for the function is N, because at t=0 the value of M is N. So, option A is incorrect.
The value of M is product of N and . The second term is free from N, because second term does not contain N. therefore the second factor does not depend on N. So, option B is correct.
It is an exponential growth function, therefore it can not be linear. So, option C is incorrect.
The initial value is constant. In the given function only the value of t can be changed. So, option D is incorrect.
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Answer:
Step-by-step explanation:
So the first step is to add like terms since you can simplify the numerator by adding the two values sine they have the same variable and degree.
Add like terms:
Divide by 2x (divide coefficient by 2, subtract coefficient degrees)
Multiply exponents and raise 4 to the power of 5
The reason you multiply exponents is because you can think about it like this:
(4 * x * x * x * x * x * x * x * x) (this has one 4 and 8 x's because x is raised to the power of 8. Now if you do that 5 times which is what the exponent is doing you're going to have 40 x's and 8 4's. So it's essentially
(4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x). If you group like terms you'll get (4 * 4 * 4 * 4 * 4) * (x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x). Which simplifies to 4^5 * x ^ (8 * 5) which further simplifies to the answer 1024x^40