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3 years ago

(X+h)^3-3(x+h)-(x^3-3x) over h

1 answer:

4 0

X^3 + h^3 - 3x-3h - x^3 +3x              h^3 - 3h              h^2 - 2h
-------------------------------------   =  ------------------   =
                h                                         h

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A box of 6 trophies costs 5$. How much would it cost to buy 48 trophies ?

Mama L [17]

Do 48/6, then multiply the answer by $5

8 0

3 years ago

Read 2 more answers

Dina invests $600 for 5 years at a rate of 2% per year compound interest.

Aleks [24]

Answer:

The value of this investment at the end of the 5 years is of $662.5.

Step-by-step explanation:

Compound interest:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

Dina invests $600 for 5 years at a rate of 2% per year compound interest.

This means that $P = 600, t = 5, r = 0.02, n = 1$ . Thus

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

$A(t) = 600(1 + \frac{0.02}{1})^{t}$

$A(t) = 600(1.02)^t$

Calculate the value of this investment at the end of the 5 years.

This is A(5). So

$A(5) = 600(1.02)^5 = 662.5$

The value of this investment at the end of the 5 years is of $662.5.

5 0

3 years ago

1/8 , -0.333, - 1/7 , - 4/9 Put these numbers in order from LEAST to GREATEST

irga5000 [103]

1/8= 0.125, -1/7 = -0.143 and -4/9= -0.444

-4/9, -0.333, -1/7, 1/8

8 0

3 years ago

In a group of 65 students when you have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this gro

Gemiola [76]

Answer:

The probability that a student pick from this group at random either has blue or brown eyes is

P = 40/65 = 0.6154

P = 61.54%

Corrected question;

In a group of 65 students 10 have brown eyes and 30 have blue eyes. Find the Probability that a student pick from this group at random either has blue or brown eyes

Step-by-step explanation:

Given;

Total number of students = 65

Number of students with either blue or brown eyes;

= 10+30 = 40

The probability that a student pick from this group at random either has blue or brown eyes is

P = 40/65 = 0.6154

P = 61.54%

4 0

3 years ago

Find the equation that passes the point (-2, -5) that is perpendicular to the line x=-1

Kitty [74]

The equation of the line that passes the point (-2 , -5) and perpendicular to the line x = -1 is y = -5

Step-by-step explanation:

Let us revise the equations of the horizontal and vertical lines

If a horizontal line passes through point (a , b), then its equation is y = b, that means all the points on the line have equal y-coordinates
If a vertical line passes through point (a , b), then its equation is x = a, that means all the points on the line have equal x-coordinates

∵ The equation of the given line is x = -1

- That means the line is vertical and the x-coordinate of all

points on it = -1

∴ The given line is a vertical line

∵ The line is perpendicular to the given line

- That means the perpendicular line is a horizontal line

because the perpendicular to vertical must be horizontal

∴ The perpendicular line is a horizontal line

∵ The equation of the horizontal line is y = b, where b is

the y-coordinate of any point on the line

∵ The perpendicular line passes through point (-2 , -5)

- The y-coordinate is -5

∴ b = -5

∴ The equation of the perpendicular line is y = -5

The equation of the line that passes the point (-2 , -5) and perpendicular to the line x = -1 is y = -5

Learn more:

You can learn more about the equation of a line in brainly.com/question/1284310

#LearnwithBrainly

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3 years ago