Answer:
The number of calculators is 4871
Step-by-step explanation:
If we integrate dx/dt we get x, which is the number of calculators. To find the number of calculators between the beginning of third week to the end of fourth week (the beginning of fifth week), this integration must be evaluated at t between 3 and 5.
the result of the integration is:
to be evaluated between 3 and 5, which is:
Answer:
(a). $1465.42
(b). $214.58
Step-by-step explanation:
We have been given that installment Buying TV Town sells a big screen smart HDTV for $600 down and monthly payments of $30 for the next 3 years. The interest rate is 1.25% per month on the unpaid balance.
(a) To find the cost of the TV, we will use monthly payment formula.
, where,
R = Periodic payment,
P = Loan amount,
i = Monthly interest rate in decimal form,
n = Number of total payments.
We know that total cost of TV would be equal to down payment plus amount of loan that is:
Therefore, the total cost of the TV would be $1465.42.
(b). First of all, we need to find total amount paid in 3 years by multiplying amount of each monthly payment by 36 (3 years equal to 36 months).
To find the total amount of interest paid, we will subtract amount of loan from total payment.
Therefore, the total amount paid in interest would be $214.58.
Answer:
a. .
b.
Step-by-step explanation:
By the definition, the expected value of a random variable X with probability mass function p is given by where the sum runs over all the posible values of X. Given a function g, the random variable Y=g(X) is defined. Note that the function g induces a probability mass function P' given by P'(Y=k) = P(X=g^{-1}(k)) when the function g is bijective.
a. Note that for 1/3ln(2)+1/6ln(5) by choosing the function g(x) = ln(x) the expression coincides with E(g(x)), because if Y = g(x) then E(Y) = P'(Y=1)*ln(1)+P'(Y=2)*ln(2)+P'(Y=5)*ln(5) = P(X=1)*ln(1)+P(X=2)*ln(2)+P(X=5)*ln(5).
b. On the same fashion, the function g(x) = xe^{xt} fullfills the expression of E[g(X)]