Q and A for the topic: General

F(x+7) if f(X)=x+2

What is 3/4 minus 1/3=

2.4 x 0.8

What is 100% gain on 100,000

16. What capital should be invested in a business that yields 15% annual simple interest, to obtain $2,400,000 of profit in 8 semesters?

New Bread Bakery purchased new equipment by making a down payment of $2000 and agreeing to make payments of $458 at the end of each month for five years. Interest is 9.2% compounded monthly. What was the purchase price of the new equipment? How much interest will have to be paid?

Let ABC be any triangle and M, N and P be the points where the internal bisectors of ABC, relative respectively to the vertices A, B and C, intersect the circle circumscribed around the triangle (M ≠ A, N ≠ B and P ≠ C). Prove that the incenter of ABC is the orthocenter of MNP.

Find the general equation of the line that passes through the point P(1;-4) and is parallel to the line L:3x+y-8=0

Determine the general equation of the line that has a slope equal to 1/4 and cuts the Y axis at point P(0;2)

1. A mutual fund company offers its clients several funds: a money market fund, three bond funds (short-term, intermediate-term, and long-term), two stock funds (moderate-risk and high-risk), and a balanced fund. The percentages of clients holding shares in a single fund are distributed among the different types of investment instruments as follows: PERCENTAGE TYPE Moderate risk stocks 25% Money market 20% High-risk stocks 18% Short-term bonds 15% Intermediate-term bonds 10% Balanced 7% Long-term bonds 5% TOTAL 100 % If a client is randomly selected who owns shares in only one fund: a) What is the probability that the selected client owns shares in the balanced fund? b) What is the probability that the same client owns shares in a bond fund? c) What is the probability that the same client does not own shares in a stock fund?

Suppose that 55% of all adults regularly consume coffee, 45% regularly consume carbonated soft drinks, and 70% frequently consume at least one of these two products. a) What is the probability that a random adult consumes coffee and soda on a regular basis? b) What is the probability that a random adult does not consume at least one of these two products on a regular basis?

Let A denote the event when a person consumes Coca-Cola and B denote the event when he consumes Pepsi. Suppose P(A)=0.50 and P(B)=0.30. a) Why is it not the case that P(A) + P(B) = 1? b) Calculate P(B') c) Calculate P (A ∩ B) d) Calculate P (A ∪ B)

For a course trip, (5-10) students have confirmed their participation, and by establishment policy, one representative must attend for each (2-2) students. This tour consists of visiting a water park for the entire day, which costs $(a + 1) per person, an amount that includes transportation, entrance to the park, and food. If the total amount to pay for transportation and tickets for the entire group is $(a - 3)², how much will they pay for food, in terms of a?

Month after month, Paula is in charge of paying the water bill in her house. In a given month, they consumed 8 cubic meters of water, paying a total of $8,060. The following month, they used 11 cubic meters, having to pay an amount of $10,820. Paula realized that in both months she was charged a fixed charge in addition to the cost for each cubic meter of water consumed. To calculate how much she will have to pay in the coming months, Paula needs to determine the function f that relates the water consumption in cubic meters to the total amount to pay, including the fixed charge. What would be the function that Paula should use to calculate the amount to pay based on water consumption?

Applying the definition of module and simplifications, fill in the gaps. |𝑥| − 2|𝑥 − 3| = { 𝑥 − 6, 𝑠𝑒 𝑥 < 0 ___________, 𝑠𝑒 0 ≤ 𝑥 < ______ ______, 𝑠𝑒_________________

A real estate agent surveys 24 of their recent 159 clients about their satisfaction with their new home purchase what is the size of the sample? What is the size of the population?

Calculate the initial amount that Ms. Hortensia must deposit in a bank account, if at the end of the 4-year term she wants to receive $450,000 Pesos, if the savings give her a rate of return of 10.20% with monthly capitalization:

Calculate the rate of return that Santander Bank grants to Mr. Patricio, if the latter invests $335,000 pesos for a period of 5 years, and receives interest in the amount of $170,000 at the end of the term.

Convert 2.020 to a fraction

7a+2b=1