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Andreyy89
3 years ago
8

How long will it take your money to triple if you receive 10% return on your money, compounded annually?

Business
1 answer:
vovangra [49]3 years ago
8 0

Answer:

11.6 years

Explanation:

When we are trying to determine how long will it take an investment to double using compound interest, the simplest way is to use the rule of 72. But the problem is that it doesn't work very well with odd numbers.

So we have to use math:

FV = PV (1 + r)ⁿ

PV = X     and  FV = 3X

3X = X(1 + 10%)ⁿ

3 = (1 + 0.1)ⁿ

log 3 = log 1.1ⁿ

log 3 = n x log 1.1

n = log 1.1 / log 3

n = 11.6 years

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why do demographic shifts and technological developments create both challenges and new opportunities for business​
satela [25.4K]

Answer:

As the population ages, with proportionally more older people and fewer younger people, demand patterns shift and opportunities arise in new markets. That means some industries will suffer or need to undergo dramatic shifts to remain relevant.

Explanation:

5 0
2 years ago
If the X series denote experience and Y series denote performance and values of X series are 16, 12, 8, 9, 18, 9, 11, 16, 15, 3
ira [324]

Answer:

-0.2245

Explanation:

Given the data :

X series :

16

12

8

9

18

9

11

16

15

3

Y series :

23

22

24

18

16

15

28

18

25

24

Using technology, the correlation coefficient value for the model whose data is given above is - 0.2245 which depicts that a weak negative relationship exists between the X series values varibale and Yseries variable. Our conclusion was inferred from the fact that - sign denotes negative and values close to zero denotes a weak association between the plotted variables.

4 0
3 years ago
Which of the following combinations should be avoided? a. high price and high quality b. low price and low quality c. heavy prom
NNADVOKAT [17]

Answer: heavy promotion and low (exclusive) availability

Explanation:

The wrong combination is high promotion and low availability, because when a product is highly promoted it would lead to high interest in that product from the consumers, this would lead to a high demand for that product from customers. And this high demand needs to be met with high supply, which is not the case here, therefore scarcity would set in.

4 0
3 years ago
Assume real per capita GDP in West Swimsuit is $10,000 while in East Quippanova it is $2,500. The annual growth rate in West Swi
Alex787 [66]

Answer:

correct option is B. about 30 years

Explanation:

given data

real per capita GDP west = $10,000

annual growth rate = 2.33%

real per capita GDP east = $2,500

annual growth rate = 7%

to find out

How many years will it take for East  to catch up GDP of West

solution

we know here that future value is equal to real GDP of west after time  will be

future value = real per capita GDP west × rate^{t}

future value = 10000 × (1+0.0233)^{t} .....1

and

future value = real per capita GDP east × rate^{t}

future value = 2500 × (1+0.07)^{t} .....2

compare equation 1 and 2

10000 × (1+0.0233)^{t}  = 2500 × (1+0.07)^{t}

4 (1.0233)^{t}  =  (1.07)^{t}

t = about 30 years

so correct option is B. about 30 years

5 0
3 years ago
Suppose the economy is experiencing an output gap of –3%. a. Select each response that indicates how monetary policy or fiscal p
igor_vitrenko [27]

Answer:

Suppose the economy is experiencing an output gap of –3%

a. Monetary policy or fiscal policy can be used to raise actual output toward potential output when:

The government can increase its spending or reduce taxes, which will shift the IS curve to the right and increase GDP.

The Fed can reduce the interest rate, which will shift the MP curve down and increase GDP.

b. The policies identified in part a,

can be used together to raise actual output toward potential output.

Explanation:

Investment-Savings (IS) curve shows all the levels of interest rates and output (GDP) at which an economy's total desired investment (I) equals its total desired saving (S).  This equilibrium can be achieved at a level of interest rate that maximizes output.  The IS curve slopes downward, and to the right because at a lower interest rate, investment is higher, which produces more total output (GDP) for the economy.

7 0
3 years ago
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