Answer:
27%
Explanation:
The actual rate being charge on these loans is the effective annual rate and the formula to calculate it is:
i=(1+(r/m))^m−1
i= effective annual rate
r= interest rate in decimal form=0.24
m=number of compounding periods per year= 52 (a year has 52 weeks).
i=(1+(0.24/52))^52-1
i=1.27-1
i=0.27
According to this, the answer is that the actual rate being charge on these loans is 27%.
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Answer:
a) 3X + 2Y = 36
b) X = 6 , Y = 9
c) 27
Explanation:
Individual consumes : X and Y
Spends : $36 per time period
unit cost : $3 per unit for X
$2 per unit for Y
utility function : U( X, Y ) = .5XY
<u>A) Budget equation mathematically</u>
X* Px + Y* Py = M
3X + 2Y = 36
Px and Py = unit cost for X and Y
M = Total spent ( revenue )
<u>b) Values of X and Y that will maximize utility </u>
Maximum utility ( MRS ) = Px / Py ,
MRS = MUx / MUy
= Y/X = 3/2
∴ 2Y = 3X
From BC : 6X = 36 ( X = 6 plug into mathematically equation above )
∴ X = 6 , hence Y = 9
<u>c) Total utility generated per unit of time </u>
U( X,Y ) = .5XY
= 0.5 * 6 * 9 = 27
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