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2 years ago

15

You want to deposit $12,000 in a bank at an interest rate of 8 percent per year. What is the future value of this money after fi

ve years?

1 answer:

tamaranim1 [39]2 years ago

4 0

The answer is $16,800.

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I need help with this

Schach [20]

8- 1/3 quarts
4- 2/3 quarts

7 0

2 years ago

Define z_alpha to be a z-score with an area of alpha to the right. For Example: z_0.10 means P(Z > z_0.10) = 0.10. We would a

Reptile [31]

Answer:

a) P(-z_0.025 < Z < z_0.025)

For this case we want a quantile that accumulates 0.025 of the area on the tails of the normal standard distribution, and for this case we can calculate the z value with the following excel codes:

"=NORM.INV(0.025,0,1)"

"=NORM.INV(0.025,0,1)"

And for this case the two values are : $z_{crit}= \pm 1.96$

b) P(-z_{\alpha/2} < Z < z_{\alpha/2})

For this case we want a quantile that accumulates $\alpha/2$ of the area on the tails of the normal standard distribution, and for this case we can calculate the z value with the following excel codes:

"=NORM.INV(alpha/2,0,1)"

"=NORM.INV(alpha/2,0,1)"

c) For this case we want to find a value of z that satisfy:

P(Z > z_alpha) = 0.05.

And we can use the following excel code:

"=NORM.INV(0.95,0,1)"

And we got $z_{\alpha/2}=1.64$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Part a

P(-z_0.025 < Z < z_0.025)

For this case we want a quantile that accumulates 0.025 of the area on the tails of the normal standard distribution, and for this case we can calculate the z value with the following excel codes:

"=NORM.INV(0.025,0,1)"

"=NORM.INV(0.025,0,1)"

And for this case the two values are : $z_{crit}= \pm 1.96$

Part b

P(-z_{\alpha/2} < Z < z_{\alpha/2})

For this case we want a quantile that accumulates $\alpha/2$ of the area on the tails of the normal standard distribution, and for this case we can calculate the z value with the following excel codes:

"=NORM.INV(alpha/2,0,1)"

"=NORM.INV(alpha/2,0,1)"

Part c

For this case we want to find a value of z that satisfy:

P(Z > z_alpha) = 0.05.

And we can use the following excel code:

"=NORM.INV(0.95,0,1)"

And we got $z_{\alpha/2}=1.64$

6 0

3 years ago

The cost, in dollars, of producing x belts is given by Upper C (x )equals 970 plus 12 x minus 0.076 x squared. The revenue, i

umka21 [38]

Answer:

$68.44 for each additional belt

Step-by-step explanation:

The cost and revenue functions are:

$C(x) = 970+12x - 0.076x^2\\R(x) =43x^{\frac{3}{4}}$

The profit function, P(x), is given by subtracting the cost function from the revenue function.

$P(x) = R(x) - C(x)\\P(x)=43x^{\frac{3}{4}}+0.076x^2-12x-970\\$

The derivate of the profit function gives us the rate at which profit changes:

$\frac{dP(x)}{dx} =P'(x)=32.25x^{\frac{-1}{4}}+0.152x-12\\$

For x = 484, the rate of change is:

$P'(484)=32.25*484^{\frac{-1}{4}}+0.152*484-12\\P'(484) = \$68.44/belt$

Profit is increasing by $68.44 for each additional belt

3 0

3 years ago

Artaud noticed that if he takes the opposite of his age and adds 45 he gets the number 32. How old is Artaud?

elena-14-01-66 [18.8K]

Answer:

He is 13 years old

Step-by-step explanation:

32-45=-13

the opposite of -13 is positive 13

3 0

2 years ago

Apply the distributive property to the expression to write an equivalent expression. Complete the statements.

Arlecino [84]

Answer:

4(x+4)

Step-by-step explanation:

Find to GCF of 4x+16.

Now factor out the GCF by dividing each term in the expression by 4.

4x divided by the GCF is x, and 16 divided by the GCF is 4.

The equivalent expression is 4(x+4).

7 0

2 years ago

Read 2 more answers