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gogolik [260]
3 years ago
9

John Smith made a one year investment that generated a nominal return of 6% or $3000. The real return was $2000. What was the or

iginal investment amount? what was the annual inflation rate? Macroeconomic
Mathematics
1 answer:
nata0808 [166]3 years ago
3 0

The nominal value - without discounting the inflation rate - of income was $ 3000.

If the interest rate was 6%, a rule of three is enough to find the value of the original investment.

3000 - 6%

x - 100%

x = 50,000

The value of the investment was $ 50,000

In this case, the inflation rate also requires a simple calculation.

Inflation corroded $ 1000 dollars of income of $ 3000

Therefore the inflation rate will be 1000/3000 = 33.3%

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A large cube has a volume of 1 cubic unit. A small cube has a volume of 1 27 of a cubic unit. What is the difference between the
ExtremeBDS [4]

Given:

Volume of Large cube = 1 cubic unit

Volume of small cube = \dfrac{1}{27} cubic unit

To find:

The difference between the edge length of the large cube and the edge length of the small cube.

Solution:

Let the edges of large and small cubes are a_1 and a_2 respectively.

We know that, volume of a cube is

V=(edge)^3

Volume of Large cube = 1 cubic unit

(a_1)^3=1

Taking cube root on both sides, we get

a_1=1

So, edge of large cube is 1 unit.

Volume of small cube = \dfrac{1}{27} cubic unit

(a_2)^3=\dfrac{1}{27}

Taking cube root on both sides, we get

a_2=\dfrac{1}{3}

So, edge of large cube is \dfrac{1}{3} unit.

Now, difference between them is

d=a_1-a-2

d=1-\dfrac{1}{3}

d=\dfrac{3-1}{3}

d=\dfrac{2}{3}

Therefore, the difference between the edge length of the large cube and the edge length of the small cube is \dfrac{2}{3} unit.

6 0
3 years ago
Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?
alina1380 [7]
Assume he played x games in total.

So x * 60% = 12

->x = 12 / 60% = 20
4 0
3 years ago
Read 2 more answers
11 x minus 3 y = negative 17. Negative 4 x + 3 y = negative 18. Negative 7 x = negative 35 Negative 7 x = 35 7 x = negative 35 7
posledela

Answer:

7 x = -35

Step-by-step explanation:

Which equation results from adding the equations in this system? 11 x minus 3 y = -17. Negative 4 x + 3 y = - 18.

- 7 x = negative 35

- 7 x = 35

7 x = negative 35

7 x = 35

In this problem we need to add the equations below i.e.

11x-3y = -17 and -4x+3y=-18

Adding both equations,

11x-3y+(-4x)+3y = -17+(-18)

7x= -35

or

7 x = negative 35

Hence, the correct option is (c).

5 0
3 years ago
If a couple has 3 children what is the probability that at least one is a girl
postnew [5]

Answer:1:1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find ST. Help me solve please and thank you
slava [35]

Answer: ST is equal to 12

Step-by-step explanation:

If RU  is equal to 24 as a whole  and we are given that RS and TU are equal to 6 then we could set up an equation and solve for ST.

6 + 6 +x  = 24   where x is the length of ST

12 + x = 24  

-12         -12

x = 12    

6 0
3 years ago
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