Prove that 1/1+xpower m +1/1+x power -m =1

Use technology to construct an appropriate model of the data. (0,1), (1,-2), (2,-3), (3,-2), (4,1) f(x) = – x2 + 4 f(x) = x2 - 4

Nadusha1986 [10]

The tool I used for modellin is MS Excel. As you on the left side of the picture, I tabulate the x and y coordinates with respect to their columns. Then, I plotted it using the scatter plot graph. In this type of graph, only plots are drawn on the Cartesian plane. Next, I created a trendline as represented by the blue dashed line. There are options to the degree of your trendline: linear, polynomial or exponential. The closes fit is the polynomial with a degree of 2. An option is listed there in displaying the equation. The equation modelled by regression through data fitting is:
y = x² - 4x+1

8 0

3 years ago

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George is considering two different investment options. The first offers 7.4% per year simple interest on the initial deposit. T

pentagon [3]

Answer:

Part A) $\$12,220.00$

Part B) $\$12,134.08$

Part C) The simple interest investment is better than the compounded interest investment at the end of three years.

Part D) see the explanation

Step-by-step explanation:

Part A) Determine the value of the simple-interest investment at the end of three years

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=3\ years\\ P=\$10,000\\r=7.4\%=7.4/100=0.074$

substitute in the formula above

$A=10,000(1+0.074*3)$

$A=10,000(1.222)$

$A=\$12,220.00$

Part B) Determine the value of the compound-interest investment at the end of three years

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=3\ years\\ P=\$10,000\\r=6.5\%=6.5/100=0.065\\n=4$

substitute in the formula above

$A=10,000(1+\frac{0.065}{4})^{4*3}$

$A=10,000(1.01625)^{12}$

$A=\$12,134.08$

Part C) Which investment is better over the first three years?

Compare the two investment

$\$12,134.08 < \$12,220.00$

The compounded interest investment is less than the simple interest investment

therefore

The simple interest investment is better than the compounded interest investment at the end of three years

Part D) How would you advise George to invest his money if he is unsure how long he’ll keep the money in the account?

we have

$A=10,000(1+0.074t)$ ----> simple interest formula as a function of the time t

$A=10,000(1.01625)^{4t}$ ----> compound interest formula as function of the time t

Look to the attached graph below

The red line represents the simple interest investment

The blue curve represents the compounded interest investment

After 0 years and before 4.179 years the red line is over the blue curve, that means the simple interest is better because it gives more money than the compounded interest

After that the blue curve is over the red line that means the compounded quarterly is better because it gives more money than the simple interest

therefore

I advise George to invest his money in the compounded interest investment if he will keep the money for a long time

4 0

3 years ago

Graph the system of inequalities. Then use your graph to identify the point that represents a solution to the system.

Mandarinka [93]

This is unorganized you should write it better next time.

3 0

4 years ago

(will give brainliest)<br> 2+5x-3x+6x

pickupchik [31]

Answer:

x = -0.25

Step-by-step explanation:

2+5x-3x+6x

5x-3x+6x = -2

8x = -2

x = -2/8

x = -0.25

3 0

3 years ago

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If Janis and Melanie make bracelets one afternoon during Choice time. They make six bracelets each. They feel generous and give

dusya [7]

3 each left. Hope it helped

5 0

3 years ago

Prove that 1/1+xpower m +1/1+x power -m =1​

Prove that 1/1+xpower m +1/1+x power -m =1