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tankabanditka [31]
3 years ago
8

Alex invested $10,500 in an account that pays 6 percent simple interest. how much money will he have at the end of four years?'

Business
1 answer:
Marizza181 [45]3 years ago
4 0
The amount generated from the investment with simple interest is calculated through the equation,

           F = P x (1 + in)

where F is the future amount, P is the present worth, i is the decimal equivalent of the given interest and n is the number of interest period.

From this item it can be identified that,
   P = $10,500
   i = 0.06
   n = 4

Substituting the known values,

    F = ($10,500) x (1 + (0.06)(4)) 
 <em>   F = $13020</em>

Therefore, after four years, the amount of money that Alex will have is $13,020. 
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Refer to the information in Homework 2 Question 2: Ross derives utility from only two goods, chocolates (x) and donuts (y). His
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Answer:

The total effect is 35 out of which income effect is 15 and substitution effect is 20.

Explanation:

Ross has an income of $1440.

The price of chocolates (Px) is $10 and donuts (Py) is $9.

The utility function is given as

U = 0.5xy

Before price rise, Budget line:

1440 = 10x + 9y,

Consumption is optimal when

\frac{MUx }{ MUy} = \frac{Px}{Py} = \frac{10}{9} = 1.11

0.5y / 0.5x= 1.11

y = 1.11x

Substituting in budget line,

1440 = 10x + 9y = 10x + 9(1.11x)

1440 = 10x + 9.99x

19.99x = 1440

x = 72

y = 1.11x = 79.92 = 80

After price rise,

Py = 16.

New budget line:

1440 = 10x + 16y,

Price ratio

\frac{Px}{Py } =  /

=\frac{10}{16}

= 0.625

And,

\frac{MUx}{Muy} = \frac{0.5y}{0.5x} = 0.625

\frac{y}{x}  = 0.625

y = 0.625x

Substituting in new budget line: 1440 = 10x + 16y

1440 = 10x + 16(0.625)x

1440 = 20x

X = 72

Y = 0.625x = 45

So, total effect (TE)

= Decrease in consumption of y

= 80 - 45

= 35

With previous (x, y) bundle,

U = 0.5xy

U = 0.5 x 72 x 80

U = 2880

Keeping utility level the same & substituting,

y = 0.625x in utility function:

28800 = 0.5xy

2880 = 0.5\ \times\ 0.625x

2880 = 0.3125x^{2}

x^{2}  = \frac{2880}{0.3125}

x^{2} = 9216

x = \sqrt{9216}

x = 96

Now, putting the value of x,

y = 0.625\ \times\ x

y = 0.625\ \times\ 96

y = 60

Substitution effect (SE)

= 80 - 60

= 20

Income effect

= TE - SE

= 35 - 20

= 15

8 0
3 years ago
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