How long will it take for an investment to triple, if interest is compounded continuously at \( 3 \% \) ? It will take \( \square \) years before the investment triples. (Round to the nearest tenth of a year.)

amount in the account after \( t \) years, \( P \) is the principal amount invested, and \( r \) is the annual interest rate. a. What is the balance in Darius's college account after 12 years?

7.2 Inimitable Academy bought office furniture that cost R150 000 . What is the value of the furniture after 5 years if the rate of depreciation is \( 12,4 \% \) p.a, using reducing balance method. 7.3 Andrew plans to save R20 000 for a deposit on a new car. He decided to use a part of his annual bonus to pay three equal annual deposits into a savings account at the beginning of every year. Calculate how much money he must deposit to save up R20 000 after three years. Interest on the savings account is \( 8 \% \) p.a. compounded monthly. Nicole invests R50 000 into a saving account and four years later another R15000 is added to the investment. The interest rate for the first three years is \( 10 \% \) per annum, compounded monthly and then changes to \( 12,5 \% \) per annum, compounded quarterly. Calculate the value of the investment after six years.

NAME 18. USE A MODEL Darius's grandfather deposited \( \$ 5500 \) into a college savings account that pays \( 3.8 \% \) interest compounded continuously. The formula \( A \) a \( P e^{\prime \prime} \) is used to find the amount in the account, where \( A \) is the amount in the account after \( t \) years, \( P \) is the principal amount invested, and \( r \) is the annual interest rate. a. What is the balance in Darius's college account after 12 years?

QUESTION 4 4.1 Accounting equation Analyse the following transactions according to the table on the answer sheet, e.g. Buy trading stock, R3 500 . 4.1.1 \( \quad \) Cash sales according to the cash register roll, R1 500 (cost price R800) (8) 4.1.2 Buy packaging material on credit, R890. 4.1.3 \( \quad \) The owner takes R 1000 out of the businesses bank account for 4.1.4 Pay the weekly wages per EFT 9, R2 250 .

Suponga que Joel recibe una herencia por parte de su abuelo la cual le dará pagos bimestrales nivelados de \( \$ 1,000 \) durante toda su vida, siendo que el primer pago se le dará desde el día de hoy. Calcule el valor presente de dicha herencia si se considera una tasa de interés \( i^{(4)}=0.09 \).