Answer:

Step-by-step explanation:
The derivative is defined as the term multiplied by its power and 1 subtracted from its power.
f(x)
The derivative of t is just 1. The second term is:

Answer:
P(X = 17) = 0.3002
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

We want P(X = 17). So


P(X = 17) = 0.3002
Answer:
−2x4−18x3y
Step-by-step explanation:
Let's simplify step-by-step.
(−3x2)(xy+2x2)+7x4−3x3(5y+x)
Distribute:
=(−3x2)(xy)+(−3x2)(2x2)+7x4+−3x4+−15x3y
=−3x3y+−6x4+7x4+−3x4+−15x3y
Combine Like Terms:
=−3x3y+−6x4+7x4+−3x4+−15x3y
=(−6x4+7x4+−3x4)+(−3x3y+−15x3y)
=−2x4+−18x3y
Answer:
1
Step-by-step explanation:
1^3
This is 1 multiplied by itself 3 times
1*1*1
1
Annual Rate = 16% = 16/100 = 0.16
Monthly Rate = (annual rate)/12
Monthly Rate = (0.16)/12
Monthly Rate = 0.01333 ... this is approximate
Finance Charge = (Monthly Rate)*(Previous Balance)
Finance Charge = (0.01333)*(179.32)
Finance Charge = 2.3903356
Finance Charge = 2.39
The purchases and payments do not factor in the finance charge since they are made during this current billing cycle. The previous balance method only looks at the balance at the end of the previous cycle.
Once the finance charge is calculated, we add on the new purchases and the finance charge to the old balance. We also subtract off the payments/credits. Doing all this calculates the new balance for this billing cycle.
New Balance = (Old balance) + (Purchases) + (Finance Charge) - (Payment)
New Balance = 179.32 + 117.42 + 2.39 - 85
New Balance = 214.13
In summary,
Finance Charge = $2.39
New Balance = $214.13