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7. Find the weekly yield (in %) for an investment that has a interest rate of 6.7% compounded quarterly

8. Find the accumulated amount of P3,001 for 5 years and 8 months at 5.9% simple interest.

9. Find the time (in years) for a P30,000 deposit to triple itself at 5% compounded monthly

14. Find the accumulated amount of P3,609 invested 0.07% compound daily at for a period of 12 years, Do not include units in your final answer. Round off to 4 decimal point.

17. Find the weekly yield (in %) for an investment that has a interest rate of 5.22% compounded quarterly.

18. Find the accumulated amount of P4,731 for 4 years and 8 months at 9.9% simple interest.

19. How much money should be invested in an account that earns 7.5% interest, compounded quarterly, in order to have P100,000 in 8 years?

23. If you can earn 11.8% on your investments yearly, and you would like to accumulate P251,453 for your savings at the end of 15 years, how much must you invest annually to reach your goal?

25. How much money should be invested in an account that earns 7.5% interest, compounded quarterly, in order to have P100,000 in 8 years26. Manny have the present worth of personnel salaries over the next 10 years. He has four employees whose combined salaries thru the end of this year are P 650,000. If he expects to give each employee a raise of 5% each year, the present worth of his employees' salaries at an interest rate of 12% per year.

28. Determine the final value if you invest P33,742 into a certificate of deposit that has an annual interest rate of 9.5% compounded quarterly for 4 years. (answer :49121.71, double check!!)

31. Find the accumulated amount of P4,928 invested 0.1% compound daily at for a period of 13 years (answer: 4992.4821 ,double check!!!)

32. Find the accumulated amount of P4,425 for 3 years and 8 months at 8.8% simple interest

34. Determine the final value if you invest P23,367 into a certificate of deposit that has an annual interest rate of 10.1% compounded quarterly for 5 years. ( answer: 38476.762, double check!!)

35. Find the accumulated amount of P4,734 invested 0.1% compound daily at for a period of 18 years.

Determine the capitalized cost at 7.33% interest of a structure with an initial cost of $366,653 and annual operating and maintenance costs of $66,265, commencing 7 years after the construction of the structure.

36. Determine the capitalized cost at 9.55% interest of a structure with an initial cost of $450,056 and annual operating and maintenance costs of $63,216, commencing 5 years after the construction of the structure. ( answer :1119519.103, double check!!)


38. How much money will you at present time if you deposit P9,255 each for the next 9 years in a savings account that earns 6% compounded quarterly ? (answer: 255999.63, double check!)
39. Find the accumulated amount of P3,609 invested 0.07% compound daily at for a period of 12 years.

40. Find the accumulated amount of P3,389 for 4 years and 8 months at 9.4% simple interest. (answer :4875.64, double check!!)


41. Find the weekly yield (in %) for an investment that has a interest rate of 9.06% compounded quarterly

42. If you can earn 11.6% on your investments yearly, and you would like to accumulate P293,813 for your savings at the end of 13 years, how much must you invest annually to reach your goal? (answer: 70540.17 ANO PO FORMULA?, double check!!)

43. A debt of $10,000 is amortized by making equal payments at the end of every six months for three years, and interest is 6% compounded semi-annually. Determine the interest ρáíd for 4th payment. (answer: 156.65, double check!!)

44. A debt of $10,000 is amortized by making equal payments at the end of every six months for three years, and interest is 6% compounded semi-annually. Determine the interest ρáíd for 4th payment.
 
7. To find the weekly yield for an investment with an interest rate of 6.7% compounded quarterly, we need to convert the annual interest rate to a weekly rate.

First, we need to find the quarterly interest rate. We can use the formula:
Quarterly interest rate = (1 + annual interest rate)^(1/4) - 1
= (1 + 0.067)^(1/4) - 1
= 0.0165

Next, we can find the weekly interest rate by dividing the quarterly rate by 13 (the approximate number of weeks in a quarter):
Weekly interest rate = 0.0165 / 13
= 0.00127

To express the weekly interest rate as a percentage, we multiply by 100:
Weekly yield = 0.00127 * 100
= 0.127%

Therefore, the weekly yield for an investment with an interest rate of 6.7% compounded quarterly is approximately 0.127%.

8. To find the accumulated amount of P3,001 for 5 years and 8 months at 5.9% simple interest, we can use the formula:

Accumulated amount = Principal + (Principal * interest rate * time)

First, we need to convert the months to years:
5 years and 8 months = 5 + (8/12) = 5.67 years

Using the formula, we can calculate the accumulated amount:

Accumulated amount = 3001 + (3001 * 0.059 * 5.67)
= 3001 + (3001 * 0.17653)
= 3001 + 529.40503
= 3530.40503

Therefore, the accumulated amount of P3,001 for 5 years and 8 months at 5.9% simple interest is approximately P3,530.41.

9. To find the time (in years) for a P30,000 deposit to triple itself at 5% compounded monthly, we can use the compound interest formula:

Final amount = Principal * (1 + interest rate/number of compounding periods)^(number of compounding periods * time)

We need to solve for time. Rearranging the formula:

time = log(final amount / principal) / (number of compounding periods * log(1 + interest rate / number of compounding periods))

Using the given values:

Final amount = 30,000 * 3 = 90,000
Principal = 30,000
Interest rate = 5% = 0.05
Number of compounding periods = 12 (monthly compounding)

Plugging in the values:

time = log(90,000 / 30,000) / (12 * log(1 + 0.05/12))
= log(3) / (12 * log(1.00416667))
≈ 19.40 years

Therefore, it will take approximately 19.40 years for a P30,000 deposit to triple itself at 5% compounded monthly.

14. To find the accumulated amount of P3,609 invested at 0.07% compound daily for a period of 12 years, we can use the compound interest formula:

Accumulated amount = Principal * (1 + interest rate/number of compounding periods)^(number of compounding periods * time)

First, we need to convert the annual interest rate to a daily rate:
Daily interest rate = (1 + annual interest rate)^(1/365) - 1
= (1 + 0.0007)^(1/365) - 1
≈ 0.000001915

Next, we can plug in the values into the formula:

Accumulated amount = 3609 * (1 + 0.000001915)^ (365 * 12)
≈ 3609 * (1.000001915)^4380
≈ 3609 * 1.084834282
≈ 3916.62

Therefore, the accumulated amount of P3,609 invested at 0.07% compound daily for a period of 12 years is approximately P3,916.62.

17. To find the weekly yield for an investment with an interest rate of 5.22% compounded quarterly, we can follow the same steps as in question 7:

First, we need to find the quarterly interest rate:
Quarterly interest rate = (1 + annual interest rate)^(1/4) - 1
= (1 + 0.0522)^(1/4) - 1
= 0.012866

Next, we can find the weekly interest rate by dividing the quarterly rate by 13:
Weekly interest rate = 0.012866 / 13
= 0.0009897

To express the weekly interest rate as a percentage, we multiply by 100:
Weekly yield = 0.0009897 * 100
= 0.09897%

Therefore, the weekly yield for an investment with an interest rate of 5.22% compounded quarterly is approximately 0.09897%.

18. To find the accumulated amount of P4,731 for 4 years and 8 months at 9.9% simple interest, we can use the formula:

Accumulated amount = Principal + (Principal * interest rate * time)

First, we need to convert the months to years:
4 years and 8 months = 4 + (8/12) = 4.67 years

Using the formula, we can calculate the accumulated amount:

Accumulated amount = 4731 + (4731 * 0.099 * 4.67)
= 4731 + (4731 * 0.46383)
= 4731 + 2193.96973
= 6924.97

Therefore, the accumulated amount of P4,731 for 4 years and 8 months at 9.9% simple interest is approximately P6,924.97.

19. To find the amount of money that should be invested in an account that earns 7.5% interest, compounded quarterly, in order to have P100,000 in 8 years, we can use the compound interest formula:

Final amount = Principal * (1 + interest rate/number of compounding periods)^(number of compounding periods * time)

We need to solve for the principal. Rearranging the formula:

Principal = Final amount / (1 + interest rate/number of compounding periods)^(number of compounding periods * time)

Using the given values:

Final amount = P100,000
Interest rate = 7.5% = 0.075
Number of compounding periods = 4 (quarterly compounding)
Time = 8 years

Plugging in the values:

Principal = 100,000 / (1 + 0.075/4)^(4 * 8)
= 100,000 / (1.01875)^(32)
≈ 47,990.49

Therefore, approximately P47,990.49 should be invested in an account that earns 7.5% interest, compounded quarterly, in order to have P100,000 in 8 years.

23. To find the amount that must be invested annually to accumulate P251,453 at the end of 15 years with an annual interest rate of 11.8%, we can use the future value of an ordinary annuity formula:

Future value = Annual payment * ((1 + interest rate)^time - 1) / interest rate

We need to solve for the annual payment. Rearranging the formula:

Annual payment = Future value * interest rate / ((1 + interest rate)^time - 1)

Using the given values:

Future value = P251,453
Interest rate = 11.8% = 0.118
Time = 15 years

Plugging in the values:

Annual payment = 251,453 * 0.118 / ((1 + 0.118)^15 - 1)
≈ 7,055.97

Therefore, approximately P7,055.97 must be invested annually to accumulate P251,453 at the end of 15 years with an annual interest rate of 11.8%.

26. To find the present worth of personnel salaries over the next 10 years, with four employees whose combined salaries through the end of this year are P650,000 and an expected annual raise of 5% for each employee, we can use the present value of an ordinary annuity formula:

Present value = Annual payment * (1 - (1 + interest rate)^(-time)) / interest rate

We need to solve for the present value. Rearranging the formula:

Present value = Annual payment * (1 - (1 + interest rate)^(-time)) / interest rate

Using the given values:

Annual payment = Total salaries through the end of this year = P650,000
Interest rate = 12% = 0.12
Time = 10 years

Plugging in the values:

Present value = 650,000 * (1 - (1 + 0.12)^(-10)) / 0.12
≈ 4,343,961.90

Therefore, the present worth of personnel salaries over the next 10 years is approximately P4,343,961.90.

28. To determine the final value if P33,742 is invested in a certificate of deposit with an annual interest rate of 9.5% compounded quarterly for 4 years, we can use the compound interest formula:

Final value = Principal * (1 + interest rate/number of compounding periods)^(number of compounding periods * time)

Using the given values:

Principal = P33,742
Interest rate = 9.5% = 0.095
Number of compounding periods = 4 (quarterly compounding)
Time = 4 years

Plugging in the values:

Final value = 33,742 * (1 + 0.095/4)^(4 * 4)
= 33,742 * (1.02375)^16
≈ 49,121.71

Therefore, the final value of the investment will be approximately P49,121.71.

31. To find the accumulated amount of P4,928 invested at 0.1% compound daily for a period of 13 years, we can use the compound interest formula:

Accumulated amount = Principal * (1 + interest rate/number of compounding periods)^(number of compounding periods * time)

Using the given values:

Principal = P4,928
Interest rate = 0.1% = 0.001
Number of compounding periods = 365 (daily compounding)
Time = 13 years

Plugging in the values:

Accumulated amount = 4,928 * (1 + 0.001)^(365 * 13)
≈ 4,928 * (1.001)^4,745
≈ 4,928 * 1.5493
≈ 7,635.16

Therefore, the accumulated amount of P4,928 invested at 0.1% compound daily for a period of 13 years is approximately P7,635.16.

32. To find the accumulated amount of P4,425 for 3 years and 8 months at 8.8% simple interest, we can use the formula:

Accumulated amount = Principal + (Principal * interest rate * time)

First, we need to convert the months to years:
3 years and 8 months = 3 + (8/12) = 3.67 years

Using the formula, we can calculate the accumulated amount:

Accumulated amount = 4425 + (4425 * 0.088 * 3.67)
= 4425 + (4425 * 0.30616)
= 4425 + 1354.146
= 5779.146

Therefore, the accumulated amount of P4,425 for 3 years and 8 months at 8.8% simple interest is approximately P5,779.15.

34. To determine the final value if P23,367 is invested in a certificate of deposit with an annual interest rate of 10.1% compounded quarterly for 5 years, we can use the compound interest formula:

Final value = Principal * (1 + interest rate/number of compounding periods)^(number of compounding periods * time)

Using the given values:

Principal = P23,367
Interest rate = 10.1% = 0.101
Number of compounding periods = 4 (quarterly compounding)
Time = 5 years

Plugging in the values:

Final value = 23,367 * (1 + 0.101/4)^(4 * 5)
= 23,367 * (1.02525)^20
≈ 38,476.76

Therefore, the final value of the investment will be approximately P38,476.76.

35. To find the accumulated amount of P4,734 invested at 0.1% compound daily for a period of 18 years, we can use the compound interest formula:

Accumulated amount = Principal * (1 + interest rate/number of compounding periods)^(number of compounding periods * time)

Using the given values:

Principal = P4,734
Interest rate = 0.1% = 0.001
Number of compounding periods = 365 (daily compounding)
Time = 18 years

Plugging in the values:

Accumulated amount = 4,734 * (1 + 0.001)^(365 * 18)
≈ 4,734 * (1.001)^6,570
≈ 4,734 * 1.5466
≈ 7,320.64

Therefore, the accumulated amount of P4,734 invested at 0.1% compound daily for a period of 18 years is approximately P7,320.64.

Determine the capitalized cost at 7.33% interest of a structure with an initial cost of $366,653 and annual operating and maintenance costs of $66,265, commencing 7 years after the construction of the structure.

The capitalized cost of a structure is the present value of the initial cost and the present value of the annual operating and maintenance costs.

To find the present value of the initial cost, we can use the formula:

Present value = Future value / (1 + interest rate)^time

Using the given
 

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