If P10,000 is deposited each year for 9 years, how much can a person get annually from the bank every year for 8 years starting 1 year after the 9th deposit is made. Cost of money is 14%.
4 years 5 months ago
Find the area of the region that lies inside the circle $r = 3 \sin \theta$ and outside the cardioid $r = 1 + \sin \theta$.
4 years 5 months ago
Determine the minimum value of a force F required to cause an impending motion of a 30 kg block up a 30° incline if the coefficient of friction of the block and the incline is 0.25.
4 years 5 months ago
Find the equation of the line through (4, 7) and passing at a distance of 1 unit from the origin.
4 years 5 months ago
A couple decides to entertain 24 friends by giving 4 dinners with 6 guests each. In how many ways can the 1st group be chosen?
4 years 5 months ago
An angle of a triangle is four times as large as another and 45° more than the third angle. Find the angle.
4 years 5 months ago
Car A drives East at 20 kph at half an hour earlier than car B that started at the same point at 50 kph. How long will car B overtakes car A, in minutes?
4 years 5 months ago
The arc of the parabola y = x2 from (1, 1) to (2, 4) is rotated about the y-axis. Find the area of the resulting surface.
4 years 5 months ago
The area of the triangle inscribe in a circle is 39.19 cm2 and the radius of the circle is 7.14 cm. If the two sides of the triangle are 8 cm and 10 cm respectively, find the 3rd side.
4 years 5 months ago
Which of the following most nearly gives the value of x from $ \sqrt[4]{8 \sqrt[3]{2 \sqrt{8x}}} = 2 $?
4 years 5 months ago
FgoE76U-3 Find the acceleration at t = 0.
4 years 5 months ago
FgoE76U-2 Find the velocity at t = 0.
4 years 5 months ago
FgoE76U-1 Find the position at t = 0.
4 years 5 months ago
FgoE76U-0 Situation. A particle moves along a curve of parametric equations x = e^(-t), y = 2 cos 3t, z = 2 sin 3t, where t is the time.
4 years 5 months ago
m7NbLvW-3 Find the tangent offset of the 1st quarter point on the curve.
4 years 5 months ago
m7NbLvW-2 Find the elevation of the lowest point.
4 years 5 months ago
m7NbLvW-1 Find the mid-chord elevation.
4 years 5 months ago
m7NbLvW-0 Situation. Given the following for a parabolic curve: L = 300 m; g_1 = –3.2%; g_2 = +1.8%
4 years 5 months ago
sIg3ZYd-3 What is the deflection angle of the station just before PT?
4 years 5 months ago
sIg3ZYd-2 How many stations are there in the curve?
4 years 5 months ago
sIg3ZYd-1 What is the deflection angle of the first station on the curve?
4 years 5 months ago
sIg3ZYd-0 Situation. It is required to layout a simple curve by deflection angles.
4 years 5 months ago
A man made P2,500 quarterly payment to an account earning 1.5% monthly. Find the accumulated amount after 10 years.
4 years 5 months ago
A line of levels 9.36 km is run to check the elevation of BM 2 which been found to be 31.388 meters with BM 1 of elevation at sea level.
4 years 5 months ago
Evaluate (2 \cis 20^\circ)^3
4 years 5 months ago
A radioactive substance is decaying according to the formula x = ke^(-0.2t) where x is the amount of material remaining after t years and k is the initial amount.
4 years 5 months ago
An airline does a survey of the weights of adult passengers traveling on its flights. It finds that 5% weigh more than 84.3 kg and 2% weigh less than 57.2 kg.
4 years 5 months ago
A machine poured melted chocolate into moulds. The standard deviation of the amount it pours is 0.7 grams, and the mean amount can be set on the machine.
4 years 5 months ago
X7MyoLt-3 There is 1 flaw in a piece of material which is half a meter long.
4 years 5 months ago
X7MyoLt-2 There is 1 flaw in 3-meter length.
4 years 5 months ago
X7MyoLt-1 There are no flaws in a 1-meter length.
4 years 5 months ago
X7MyoLt-0 Situation. The number of flaws in a meter length of carbon fiber material is known to follow a Poisson distribution with parameter 0.4.
4 years 5 months ago
N0f8gkh-3 Allan and Brando start at the same time.
4 years 5 months ago
N0f8gkh-2 Allan gives Brando a head start of 5 seconds.
4 years 5 months ago
N0f8gkh-1 Brando gives Allan a head start of 5 seconds.
4 years 5 months ago
N0f8gkh-0 Situation. Allan can cover a circular track in 50 seconds while Brando can cover the same track in 40 seconds.
4 years 5 months ago
If a pair of dice is tossed 6 times, what is the probability of obtaining a total of 7 or 11 twice, a matching pair once, and any other combination 3 times?
4 years 5 months ago
To encourage Elmer’s promising tennis career, his father offers him a prize if he wins (at least) two tennis sets in a row in a three-set series to be played with his father and the club champion alternately:
4 years 5 months ago
During the last election, the total number of votes in a certain municipality was 12,400.
4 years 5 months ago
Stations A and B are 120 miles apart on a single-track railroad. At the same time that a train leaves A for B at 25 mph, a train leaves B for A at 15 mph.
4 years 5 months ago
At an ordinary rate a man can row the distance from Pasig to Manila, about 15km, in 5 hours less time than it takes him to return.
4 years 5 months ago
The geometric mean of two numbers is 8 and the arithmetic mean is 17. Find one of the numbers.
4 years 5 months ago
The king’s minter boxes his coins 100 to a box. In each box he puts 1 false coin. The king suspects the minter and from each of 100 boxes draws a random coin and has it tested. What is the chance the minter’s peculations go undetected?
4 years 5 months ago
What time between 2 and 3 o’clock will the angle between the hands of the clock be bisected by the line connecting the center of the clock and the 3 o’clock mark?
4 years 5 months ago
A contractor has 50 men of the same capacity at work on a job. They can complete the job in 30 days, but the contract expired in 20 days.
4 years 5 months ago
Find the values of b for which the line y = 3x + b and the parabola y^2 = 5x will have no common point.
4 years 5 months ago
A man and his wife invite 8 of their friends to a dinner. They are to be seated around a round table. How many arrangements can be made if the man and his wife are to sit side by side?
4 years 5 months ago
The local weather forecaster says “no rain” and his record is 2/3 accuracy of prediction. But the Federal Meteorological Service predicts rain and their record is 3/4. With no other data available, what is the chance of rain?
4 years 5 months ago
A man passed one-sixth of his life in childhood, one-twelfth in youth, and one-seventh more as a bachelor.
4 years 5 months ago
Three people toss a coin, and the odd man pays for the coffee. If the coins all turn up the same, they are tossed again. Find the probability that fewer than 4 tosses are needed.
4 years 5 months ago