Part III. Investment Problems.7. Rody Do Thirty placed PhP 10000 in an account that accrues interest compounded continuously in 2015. The interest rate was a constant 9.0% for the first 6 years and a constant 10.3% for the succeeding years. Assume there was no additional deposits or withdrawals.a. How much was in the account during the year 2023?(4 points)b. If Rody Do Thirly made a withdrawal of PhP 10000 last 2024, how much will be in the account by 2030?(4 points)Part IV. Newton's Law of Cooling.8. At 3:00PM, a thermometer reading 30C is taken outside where the air temperature is -10C. At 3:03PM, the temperature reading yielded by the thermometer is 5C. Later, the thermometer is brought inside where the air is at 30C. At 3:10PM, the reading is 20C. When was the thermometer brought indoors? (4 points)