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It's time to tidy up your work desk. you are given 27cm^2 of cardboard to build a rectangular box without a lid to store small electronic components. By using the knowledge of partial derivative, determine the maximum volume of this box
Number of turning point of y=(x+4)(x+2)(x-1)(x-3)
4. Mr. Contreras knows that his margins in his gasoline station is just 2.6%. If the markup amount per liter of diesel is around php 1.23, how much is the cost per liter of diesel?what is the selling price per liter of diesel?
5. A house and lot with original price of php 2,300,000 was sold at discounted price of php 2,150,000. What was the discount rate given to the buyer?
1. Mr. Llanto buys a golden casing of iphone worth php 2,540 in dubai and tries to sell it in cagayan de oro. He planned to have a 60% markup based on cost then set the selling price based on this target. However, since no one is buying it. He marled down the casing to 20%. After another week, he marked it down for 10%. After a few weeks someone bought it.
A. What is the final selling price of the golden casing?
B. Given the final selling price for the casing, what is Mr. Llanto's markup rate based on cost?
2. Clarissa bought the following items: 250 grams of pckle relish at php. 0.40 per gram
1/2 kilogram of ham at php 275.00 per kilogram
200 grams of cheese at php 0.50 per gram
10 grams of bell pepper at php 135 per kilogram
6 pieces of eggs at php 7 per piece
If clarissa gave the cashier php 1,000, how much will be her change?
3. In school, there are 650 students. The ratio of the boys to the girls is 8:5. How many more girls should enroll in the school so the ratio becomes 4:3?
Determine whether each of the equations is exact. If it is exact, find the solution.
- (dy/dx)=-(ax-by/bx-cy)
- (2x+4y)+(2x-2y)y'=0
- (3x2-2xy+2)+(6y2-x2+3)y'=0
- (ycosx+2xey)+(sinx+x2ey-1)y'=0
Nancy sells household appliances. She receives a monthly commission of 4% for her first P50,000 of sales and 6% for all sales in excess of P50, 000. Find the amount due her if her sales amounted to P85, 750
Determine the order of the given differential equation; also state whether the equation is linear or nonlinear.
- t2(d2y/dt2)+t(dy/dt)+2y=sint
- (1+y2)(d2y/dt2)+t(dy/dt)+y=et
Give an example of a function of two variables such that f(0,0) = 0 but f is NOT continuous at (0,0). Explain why the function f is NOT continuous at (0,0).
The financial department of a large retail chain is concerned about a possible slowdown in payments by customers. The department randomly selects a sample of 25 accounts and finds that the mean and the standard deviation of the number of days that the accounts have remained unpaid are 53 and 9, respectively. They want to test the claim that the population mean of the number of days that accounts have remained unpaid exceeds 50 days.
(i) State the null and alternative hypotheses for the above problem
Find the value of the amountPhp 10,000 payable at the end of each 6 months for 5 years if money is invested at 8% compounded semiannually
