I believe these are about Log Functions, Simple and Compound Interest, Annuities, and Loan

Help me pls and show the solutions. Thank your very much!!

1. On August 17, 1983, an earthquake with a magnitude of 5.3 in the Richter scale hit the province of Ilocos Norte. This was the most severe earthquake in North-western Luzon in 52 years and probably the second largest earthquake to hit Laoag City and its immediate vicinity in historical time. How much energy was released by the earthquake?

A. 8.51 x 10⁷ joules

B. 8.51 x 10⁷ joules

C. 2.24 x 10¹² joules

D. 2.42 x 10¹² joules

2. Jhan invested 500 php in a savings account that earns 3.5% interest rate. If the account has no withdrawals, how much money will Jhan have at the end of 1 and a half years?

A. 52.63 php

B. 26.25 php

C. 526.25 php

D. 262.50 php

3. Supposed money is deposited in a certain bank doubles every 10 years, if the bank compounds interest continuously, what annual interest rate does the bank offer?

A. 14.25%

B. 6.93%

C. 20%

D. 7.18%

4. Currently, Toyota Alphard costs 3.91 million php. Dr. Ramos wishes to purchase a unit and the car dealer offers 2.5% interest, compounded quarterly payable in 3 years and no downpayment is required. How much would each payment be?

A. 1,132,917.50 php

B. 392,212.50 php

C. 339,221.50 php

D. 932,162.50 php

5. An investment grew to 20,500 php in 2 years, and 21,700 php in 3 years. Find the principal amount of the investment.

A. 10,200 php

B. 19,300 php

C. 20,500 php

D. 18,100 php

6. Thomas received 50,000 php from his parents during his 33rd birthday. He invested his money in a scheme wherein he will receive 10 equal payments at the end of every year starting 30 years from now, with an interest rate of 3% compounded annually. How much is the regular pay-out Thomas will receive annually from this investment?

A. 12,586.15 php

B. 13,813.07 php

C. 14,361.53 php

D. 10,500.00 php

7. Mr. Raymundo wants to purchase a house and lot in Boton, Romblon for 1,500,000 php. Bank of Aduas has approved his loan application for a 15-year fix-rate loan at 10% annual interest. He makes a 20% downpayment in this housing loan. How much is the amount of the interest paid for the first term of amortization?

A. 30,000 php

B. 12,000 php

C. 150,000 php

D. 120,000 php

8.Racho Labs Inc. obtains a loan of 1,500,000 php, with 8% interest rate compounded quarterly, for the construction of a new clinic in Bohol. The owner will repay the loan by payments made quarterly for 10.5 years. How much is the quarterly payment that the owner should pay?

A. 23,125.94 php

B. 53,125.94 php

C. 35,714.29 php

D. 5,714.29 php

9. If 1,000,000 php is invested at 8% compounded quarterly, how many years will the investment grow to reach 1,300,000 php?

A. 0.85 years

B. 3.41 years

C. 2.33 years

D. 3.31 years

10. A laboratory test confirms that 9 milligrams of a particular radioactive substance decrease to 7 milligrams in 20 seconds. Determine the half-life of the substance.

A. 32.27 seconds

B. 10.25 seconds

C. 55.16 seconds

D. 40 seconds