Q and A for the topic: General

Given a circle with center O and a point P external to the circle. If through this point P we draw two straight segments. The first one goes from P to T, where T is the point of tangency of this straight line segment with the circle. The second straight segment has a length equal to 10 and leaves P and ends at point O, crossing the circle at point A. Knowing that the power of P in relation to the circle is 75, how much, in degrees, does the smallest arc formed betweenA and T?

What is the effective annual rate of 26.35% per year compounded quarterly?

A manufacturing firm has a total cost function given by C(x)= 2000+500x +0.5xsquared where x is the number of units produced, how many units must be produced to minimize the average cost?

3,11,5,17,6, Whats the next sequence

Among all pairs of numbers whose sum is 4 , find a pair whose product is as large as possible. What is the maximum product

Eigenvalues of a matrix 1 - 1 0, 3

You ask for a loan from the bank. The bank granted the loan in 36 months at a rate of 1.8% monthly and with equal installments of $158,000. What was the loan amount What did you request?

8) A cup of 205° coffee on a table in a 72° room loses approximately 15% of its temperature every minute until it reaches room temperature. The resulting exponential model for the temperature, t, after m minutes can be approximated by the model t = 133(0.85)m + 72. What is the temperature after 9 minutes? Round your answer to the nearest whole degree.

9)If you invest $19,000 at an annual rate of return of 6%, using the Rule of 72, how many years will it take to double? Round your answer to the nearest whole number.

10) If you inherit $39,000 and want to double it in 9 years, using the Rule of 72, at what annual rate of return will you need to invest the money? Round your answer to the nearest whole percent, but do not include a % sign with your response.

A laboratory wants to build two tanks, a closed metal tank, another tank without a side face, both with a square bottom, the first must have a capacity of 40m^3 and the second 55m^3. What dimensions should both tanks have so that the least amount of metal is needed in their manufacture?

What investment must be made today to be able to have 75,000.00 within 1 year and 8 months in an investment fund that pays 12% compounded bimonthly.

Solve the following problem by representing it in a Venn diagram. At a children's party, the children are asked their preference regarding the flavor of ice cream, obtaining the following results: 9 want chocolate, vanilla and strawberry; 12 strawberry and vanilla, 13 chocolate and strawberry, 15 chocolate and vanilla, 18 strawberry, 26 vanilla, 29 chocolate, 8 other flavors. a) How many children were at the party? b) How many only want to try a single flavor? c) How many children do not want vanilla?

In Mexico, the average annual consumption of alcohol per individual is 4,400 ml; however, the consumption pattern is characterized by being excessive, since large quantities are consumed in short periods, mainly on weekends. Assuming that alcohol consumption follows a normal distribution and a standard deviation of 200 ml. a) Calculate the probability that a person consumes more than 4000 ml per year? b) If a sample of 50 people is selected, how many of them will consume more than 4000 ml per year?

Find the equation of a circle satisfying the condition given (3,-8) radius 9

In a deck of 52 different cards, what is the probability of obtaining a 2 of gold or a 6 of swords? 2

30% of 4/6 is ?

What is the subspace of R2 generated by X = {(1, 2), (−1, 2), (5, 3)}. From this set, extract a basis for S(X)

Convert 1938 kg into centigrams

Find the main equation of the line that passes through the point (3,-4) whose slope is 3