\( \$ 3000 \) are invested in a bank account at an interest rate of 8 percent per year. Find the amount in the bank after 15 years if interest is compounded annually. 9518.40 Find the amount in the bank after 15 years if interest is compounded quarterly. Find the amount in the bank after 15 years if interest is compounded monthly. Finally, find the amount in the bank after 15 years if interest is compounded continuously. 9960.30

A UMak student invested \( P 25,000 \) in a savings account with a \( 3.5 \% \) annual interest rate. How much will the student's investment be worth after 2 years?

35) If the interest earned on a sum of money invested for 3 years at the annual interest rate of \( 10 \% \) compounded annually is \( ₹ 14,895 \), then what is the sum of money invested?

Question 1 Mpho is a utility maximizing consumer. Her Cobb Douglas Utility function is given by \[ U(X, Y)=X^{\frac{1}{4}} Y^{\frac{3}{4}} \] (a) Derive the Marshallian demand curves for good \( X \) and \( Y \). (b) (i) Derive the indirect utility function (ii) Derive the expenditure function from (b) (i). (iii) Derive the Hicksian demand curve for good \( X \). (iv) Why are these demand curves termed compensated demand curves? (c) You are given that the price of \( X, P_{x} \) is R 15 , whilst the price of \( Y, P_{y} \) is R 45 . The consumer's budget M is fixed at \( \mathrm{R} 540(M=540) \). (i) Use the Marshallian demand curves from (a) to find the values of \( X \) and \( Y \). (ii) Compute and comment on Mpho's marginal rate of substitution.

\( \Rightarrow - 600000 + \frac { 102000 } { ( 1 + r ) ^ { 1 } } + \frac { 130000 } { ( 1 + r ) ^ { 2 } } + \frac { 161000 } { ( 1 + r ) ^ { 1 } } + \frac { 950000 } { ( 1 + r ) ^ { 4 } } + \frac { 950000 } { ( 1 + r ) ^ { 5 } } + \frac { 960000 } { ( 1 + r ) ^ { 6 } } = 0 \)

A group of II-BSTM students at the University of Makati is planning to conduct a research study. The need P50,000 to fund their project. They decide to take out a loan with a \( 10 \% \) discount rate for 1 year. How much money will they receive from the loan?