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You owe $500 on a credit card that charges 1.5% interest each month. You can pay $50 each month with no new charges. What is the equilibrium value? What does the equilibrium value mean in terms of the credit card? Build a numerical solution. When will the account be paid off? How much is the last payment?
You would like to buy a house, but you can only afford monthly payments of R500. Thirty-year loans are available at 6% interest compounded monthly. If you can make a R5 000 down payment, what is the price of the most expensive house that you can afford to purchase?
Find an equation of the tangent line to the curve 𝑦 = 2𝑥 2 + 3 that is parallel to the line 8𝑥 – 𝑦 + 3 = 0
'Bhartdarshan' is an Internet-based travel agency wherein customers can see videos of the cities they plan to visit. The number of hits daily is a normally distributed random variable with a mean of 10,000 and a standard deviation of 2,400.
a. What is the probability of getting more than 12,000 hits ?
b. What is the probability of getting fewer than 9,000 hits ?
Prove that the complete disjunctive normal form and complete conjunctive normal form in three variables in a Boolean algebra is equal to the unit and zero element of the Boolean algebra.
A population consists of the four numbers 3,7,11,15.Consider all possible samples of size two which can be drawn with replacement from this population
A. A life insurance company will sell a Php250,000 one-year term life insurance policy for members of armed forces of the Philippines for a premium of Php500.00. Let X denote the gain from the insurance company. Based on the collected data of the company, a member of the armed forces police has a 99.96% chance of surviving within one year. Let X the net gain of an insurance company from a single policy holder.
1. Complete the table below showing the probability distribution of X.
X 500 -249,500
P(x)
2. Find the expectation If you play a bet and Interpret the result.
E(X)=
3. Interpretation:
Find the derivative using chain rule-d/dx:
5.y = (4x - 9) * (3x - 4) ^ 2
6.y = x/(x ^ 2 - 2) ^ 2)
7.) y =(x²-7)²(2x - 5)³
8. y = (x ^ 4 - 2x) ^ 2/(x - 1) ^ 3
9. y = sqrt(x - 2) ^ 2
10.) y = (x ^ 3 + x ^ 2) ^ 2 * (x - 1) ^ 3
List the members of the set
(x l x is an integer such that x < 2)
In a party, there are 12 people with white shirts and 7 people with red shirts;
4 people have black shoes and white shirts;
5 people have black shoes and red shirts;
the total number of people with white or red shirts or black shoes is 21.
How many people have black shoes?
