Q:
Um capital de R \( \$ 75.000,00 \) é investido no regime de capitalização simples, com taxa de \( 10 \% \) a.a.
Analise as afirmaçöes a seguir:
I- A taxa unitária equivalente à taxa percentual de \( 10 \% \) a.a. é 0,1 a.a.
II - O montante, ao final de três semestres, será de R\$ 86.200 .00 .
Q:
According to the monetarists, which of the following is true?
A rapid growth rate of the money supply will lead to no change in real GDP.
A reduction in the money supply will cause consumers to increase spending.
A reduction in the money supply will cause a proportional reduction in wages and prices, leaving output unchanged.
Instability in the money supply is the primary cause of economic instability.
Q:
2) O montante (M) de determinado capital em um fundo de investimento, após o tempo (t) em
anos, é dado pela fórmula \( M(t)=C \cdot 1,5^{\dagger} \). Nessas condiçōes, o tempo necessário para que
um capital de R\$ 800 investido gere um montante de R\$ 4050 é de:
a) 3 anos
b) 4 anos
c) 5 anos
d) 6 anos
e) 7 anos
Q:
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.
Q:
\( \Rightarrow - 600000 + \frac { 102000 } { ( 1 + r ) ^ { 1 } } + \frac { 130000 } { ( 1 + r ) ^ { 2 } } + \frac { 161000 } { ( 1 + r ) ^ { 1 } } + \frac { 950000 } { ( 1 + r ) ^ { 4 } } + \frac { 950000 } { ( 1 + r ) ^ { 5 } } + \frac { 960000 } { ( 1 + r ) ^ { 6 } } = 0 \)
Q:
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?
Q:
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?
Q:
A group of I-CCSAD students invested
P40,000 in a bond that earns \( 7 \% \) simple
interest per year. How long will it take their
investment to grow to \( \mathrm{P} 51,200 \) ?
Q:
A UMak student borrowed \( P 10,000 \) from a friend at
a simple interest rate of \( 5 \% \) per year. If the student
pays back the loan after 18 months, how much
interest will they owe?
Q:
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?
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