(6^3)^2 =
A) 6^1
B) 6^5
C) 6^6
D) 6^9

Final answer:

To find the value of an investment with monthly compound interest, you use the formula [tex]A = P(1 + r/n)^{nt}[/tex]. For a $750 investment at a 3.3% interest rate compounded monthly, the equation is [tex]A = $750(1 + 0.033/12)^{12t}[/tex]. The formula accounts for principal, interest rate, compounding frequency, and number of years.

Explanation:

To model the value of the investment with compound interest, we use the compound interest formula:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
Where,

So for an investment of $750 at a 3.3% interest rate compounded monthly, the equation would be:

[tex]A = 750(1 + \frac{0.033}{12})^{12t}[/tex]
This equation can be used to calculate the value of the investment after t years. Monthly compounding means that the interest is calculated and added to the account balance 12 times a year.

Answer:

2666.67 dollars.cents

Answer:

(100) (1/6)

A cube has six sides the odds of rolling a four is 1 in 6 and you rolled a 100 times

Answer:

44 boots were sold last month. Not 22.

Step-by-step explanation:

x = football boots

y = rugby boots

z = hiking boots

Now we write the equations:

(x / y) = 6/2

(y / z) = 2/3

For x = 24 we have:

(24 / y) = 6/2

(24 / y) = 3

y = 24/3

y = 8

On the other hand:

(y / z) = 2/3

(8 / z) = 2/3

(8) * (3/2) = z

z = 12

So, the sum is:

x + y + z = 24 + 8 + 12 = 44

ANSWER

The key features are:

1. The y-intercept which is [tex](0,400)[/tex].

This means that at time [tex]x=0[/tex], the Masons are [tex]400[/tex] miles away from home.

2. The x-intercept which is [tex](8,0)[/tex].

This means after [tex]8[/tex] hours the Masons reached home.

The reason is that [tex]y=0[/tex] miles. This means that there is no distance between the Masons and their home.

3. The slope of the graph which is [tex]\frac{distance}{time}[/tex] tells us the speed at which they travel towards their home.

[tex]Speed=|\frac{0-400}{8-0}| =|-50|=50[/tex].

This means they traveled at a speed of [tex]50miles/hour[/tex].

The negative slope of the graph tell us that the distance is reducing as they approach their home.

The equation of the line in point-slope form that passes through (-2, -6) and has a slope of 13 is y + 6 = 13(x + 2).

The equation of a line in point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.

To find the equation of the line that passes through (-2, -6) and has a slope of 13, we can substitute the values into the formula:

y - (-6) = 13(x - (-2))

Simplifying this equation, we get y + 6 = 13(x + 2). Therefore, the correct equation of the line in point-slope form is y + 6 = 13(x + 2).

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Answer:

0.67

Step-by-step explanation:

There are 3+4 = 7 people who bicycle to work.  There are 32+28 = 60 people who drive alone to work.  This makes 7+60 = 67 people.

This makes the probability 67/100 = 0.67.

The probability that the person drives alone or bicycles to work is 0.67

Probability is a measure of the likelihood of a statement or a theoretical expectation is correct.

Given that, 100 employees of a company are asked how they get to work and whether they work full time or part-time,

People who drive bicycle to work = 3 + 4 = 7

People who drive alone to work = 32 + 28 = 60

People who drive alone or with bicycle = 7 + 60 = 67

The probability that the person drives alone or bicycles to work = 67/100 = 0.67.

Hence, The probability that the person drives alone or bicycles to work is 0.67

For more references on probability, click;

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Standard form refers to the regular way you write out a number, such as 4,300, as opposed to scientific notation, which is 4.3 x 10^3, or in expanded form, such as 4,000 + 300. You can convert numbers large and small to standard form in a few steps.

To convert a number from scientific notation to standard form, consider 1.5625 x 10^4. First, focus on the exponential number, which is 10^4. Multiply the base number, which is 10, by itself the number of times indicated by the exponent, which is four. You would do that like this:

10 x 10 x 10 x 10 = 10, 000

Plug the product -- which is 10,000 -- into the original equation to get this:

1.5625 x 10,000 = 15, 625

Therefore, the standard form of this number is 15,625.

For a number in expanded form, convert the number, using basic addition. For example, consider the expanded number 10,000 + 2000 + 100 + 10 + 9. Add up these numbers to get the standard form. Your equation would look like this:

10,000 + 2,000 + 100 + 10 + 9 = 12,119

Therefore, the standard form of the number is 12,119.

Small numbers, such as those less than one, can also be converted to standard form. For example, consider the scientific notation 5 x 10^-2. Start with 10^-2, and note that the exponent is negative, which in this case, is negative two. This indicates that the number will be a decimal, with the decimal point moving twice to the left of the base number, which in this case, is 10. This would give you 0.01. Your equation will look like this:

10^2-1 = 0.01

Plug in this value, which, in this case is 0.01, into your original equation to get this:

5 x 0.01 = 0.05

Therefore, the standard form of this number is 0.05.

Convert small numbers presented in expanded form, such as 0.0003 + 0.001 + 0.02 by adding like this:

0.0003 + 0.001 + 0.02 = 0.0213

Answer:

The slope of the line containing the points (-26,-37) and (-32,-61) is 4

Step-by-step explanation:

Given:

Two points of the line (-26,-37) and (-32,-61)

To find:

Slope(m) of the line =?

Solution:

The Equation of slope of two points is

[tex]Slope m=\frac{(y_2-y_1)}{(x_2-x_1)}[/tex]

Let (-26,-37) be[tex](x_1,y_1)[/tex]

and (-32,-61) be [tex](x_2,y_2)[/tex]

Now substituting the values ,

[tex]m=\frac{(-61+37)}{(-32+26)}[/tex]

[tex]m=\frac{-24}{-6}[/tex]

m=4

Thus the slope of the line is 4

Answer:

slope = 0

Step-by-step explanation:

Given that the line has no x intercept. This means that the line does not intersect the x-axis at all. This can happen only if the line is parallel to the x axis. The line does have a y intercept. Si the line does intersect the y axis.

When a line is parallel to the x axis, its slope is 0.

Expressing the equation of the line in intercept format :

y = mx + c , where m is the slope and c is the intercept

In this case, the slope m is 0 .

So the equation becomes y = c.

Answer:

Option A is correct because the maintenance plan covers the cost of repair.

Step-by-step explanation:

We are supposed to replace  water pump and starter for $316 and $443, respectively.

So, total cost = [tex]316+443[/tex]

                     = $759

Since we are given that the preventative maintenance plan for your automobile is $896.

The total cost of repair is under the maintenance plan .

So, the answer is $896.

Option A is correct because the maintenance plan covers the cost of repair.

The equation of the line parallel to x-3y=-12 that passes through (-3,4) is y=x/3+5.

The standard equation of a line is given by

y = mx+c

Here m is the slope and c is the y intercept

The slope can be determined by

m = (y₂ -y₁)/(x₂ -x₁)

The line function equation is

x - 3y = -12

y = (1/3)x +4

When a line is parallel to another line, the slope of the lines is same.

So, the slope of the line parallel to the line x - 3y = -12 is 1/3

y = (1/3)x +c

As the line passes through the point (-3,4)

4 = (1/3) * (-3) +c

4 = -1 +c

c = 5

The equation is

y=x/3+5

To known more about standard equation of a line

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To add two fractions, convert the decimal fraction to a proper fraction by placing the decimal part over an appropriate power of 10. Then, find a common denominator and add the fractions together. Finally, simplify the resulting fraction if possible.

To add two fractions, you need a common denominator. Since the given fraction is a decimal, you can convert it into a fraction by placing the decimal part over the appropriate power of 10. In this case, 0.1545454 can be written as 1545454/10000000. Now, find a common denominator between the two fractions and add them together.

For example:

By following these steps, you can determine the fraction equal to 0.1545454.

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1. 6 points are awarded for each red marble collected, then for r red marbles collected are awarded 6r points.

2.  2 points are awarded for each blue marble collected, then for b blue marbles collected are awarded 2b points.

3. If he has r red marbles and b blue marbles collected, then in total Jon has score 6r+2b.

Answer: correct choice is B.

For this case we can find the unit rate in number of minutes per page.

To do this, we divide the total time between the number of pages.

We have then:

[tex]r = \frac {20} {5} \frac {min} {pag}\\r = 4 \frac {min} {pag}[/tex]

Answer:

The unit rate olive is reading is:

[tex]r = 4 \frac {min} {pag}[/tex]

Answer: 1.1 hope i helped u guys

Step-by-step explanation: