#60.
Object A approaches object B which is stationary. Velocity of object A is V = 25i + 4j -5k in m/s. Mass of A = 10kg, and that of B = 4 kg. After impact, the two objects sticks together. Compute the z component of the velocity after impact.
A
-3.28k
B
-6.27k
C
-3.57k
D
-2.35k
Answer: -3.57k
#61.
A vertical cylinder having a circular base of radius r and a height of 10m is filled with water at rate 1 cum/min. How fast is the water rising?
A
\(\frac{10}{\pi r^2}\)
B
\(\pi r^2\)
C
\(\frac{1}{\pi r^2}\)
D
\(\frac{2}{\pi r^2}\)
Answer: \(\frac{1}{\pi r^2}\)
#62.
A vertical cylinder having a circular base of radius r and a height of 10m is filled with water at rate 1 cum/min. How long will it take to fill the cylinder?
A
\(\frac{1}{10\pi r^2}\)
B
\(10\pi r^2\)
C
\(1 \pi r^2\)
D
\(4 \pi r^2\)
Answer: \(10\pi r^2\)
#63.
A vertical cylinder having a circular base of radius r and a height of 10m is filled with water at rate 1 cum/min. If the depth of water in the cylinder at the vertical position is 4m. What is the maximum depth of water if the cylinder is in a horizontal position?
A
0.84r m
B
0.94r m
C
0.64r m
D
0.74r m
Answer: 0.84r m
#64.
P4000 is borrowed for 75 days at 16% per annum simple interest. How much will be due at the end of 75 days?
A
P4,133.33
B
P4,313.33
C
P4,331.33
D
P4,4333.31
Answer: P4,133.33
#65.
If you borrowed P10000 from a bank with 18% interest per annum, what is the total amount to be repaid at the end of one year?
A
P18100
B
P81100
C
P11800
D
P10180
Answer: P11800
#66.
What will be the future worth of money after 12 months, if the sum of P25,000 is invested today at simple interest rate of 1% per year?
A
P30,000
B
P29,000
C
P28,000
D
P27,859
Answer: P28,000
#67.
If you borrowed money from your friend with simple interest of 12% find the present worth of P50,000 which id due at the end of 7 months.
A
P46,200
B
P44,893
C
P46,730
D
P47,789
Answer: P46,730
#68.
You can loan from a loan firm an amount of P100,000 with a rate of simple interest of 20%, but the interest was deducted from the loan at the time the money was borrowed. If at the end of one year, you have to pay the full amount of P100,000, what is the actual rate of the interest?
A
25%
B
27.5%
C
30%
D
18.8%
Answer: 25%
#69.
A loan of P5000 is made for a period of 15 months at a simple interest rate of 15%. What future amount is due at the end of the loan period?
A
P5637.50
B
P5900.90
C
P5937.50
D
P5842.54
Answer: P5937.50
#70.
John borrowed P50,000 from the bank at 25% compounded semi-annually. What is the equivalent effective rate of interest?
A
25.56%
B
26.56%
C
21.66%
D
12.46%
Answer: 26.56%
#71.
Find the present worth of a future payment of P300,000 to be made in 5 years with an interest rate of 8% per annum.
A
P204,174.96
B
P200,174.96
C
P240,174.96
D
P217,404.96
Answer: P204,174.96
#72.
How long will it take money to double itself if invested at 5% compounded annually?
A
7 years
B
28 years
C
14 years
D
21 years
Answer: 14 years
#73.
The amount of P50,000 was deposited in the bank earning an interest of 7.5%per annum. Determine the total amount at the end of 5 years, if the principal and interest were not withdrawn during the period?
A
P71,781.47
B
P72,475,23
C
P70,374.90
D
P78,986.34
Answer: P71,781.47
#74.
What is the corresponding effective interest rate of 18% compounded semi-quarterly?
A
19.25%
B
19.48%
C
18.46%
D
18.95%
Answer: 19.48%
#75.
Find the present worth of a future payment of P100,000 to be made in 10 years with an interest of 12% compounded quarterly.
A
P30,444.44
B
P33,000.00
C
P30,655.68
D
P30,546.01
Answer: P30,655.68
#76.
In how many years is required for P2,000 to increase by P3,000 if interest is 12% compounded semi-annually?
A
8
B
9
C
10
D
7
Answer: 8
#77.
Compute the equivalent rate of 6% compounded semi-annually to a rate compounded quarterly.
A
5.96%
B
6.04%
C
5.92%
D
5.94%
Answer: 5.96%
#78.
If P5,000 shall accumulate for 10 years at 8% compounded quarterly. Find the compounded interest at the end of 10 years.
A
P6,005.30
B
P6,000.00
C
P6,040.20
D
P6,010.20
Answer: P6,040.20
#79.
A sum of P1,000.00 is invested now and left for eight years, at which time the principal is withdrawn. The interest has accrued is left for another eight years. If the effective annual interest rate is 5%, what will be the withdrawal amount at the end of the 16th year?