26) Solve: $500 is deposited in a savings account. If the interest rate is 10% compounded continuously, after
how many years will the investment be worth $3000?
(Use A = Pe^rt)

Answer:

x = -3

Step-by-step explanation:

2/3x + 4 = 2

2/3x = 2 - 4

2/3x = -2

2x = -2 * 3

2x = -6

x = -6/2

x = -3

Answer:quadratic formula

Step-by-step explanation:

Answer:

Completing the square.

Step-by-step explanation:

x^2-8x+(-4)^2=22 can be rewritten as (x-4)^2=22. therefore, the best method would be completing the square.

Answer:

D 160,000

Step-by-step explanation:

just add a zero because there one zero in 10

Answer:

X, Process, Y

-2, y = -2 - 3, -5

-1, y = -1 - 3, -4

0, y = 0 - 3, -3

1, y = 1 - 3, -2

2, y = 2 - 3, -1

X = -2, -1, 0, 1, 2

Y = -5, -4, -3, -2, -1

Step-by-step explanation:

Coordinates to the graph are (-2,-5) (-1,-4) (0,-3) (1,-2) (2,-1)

Graph is the image below.

you want to get Y by itself so here is how you do that.

\(-x+y=-3\\+x +x\\\)

Now we have y=x-3

now we plug x into the equation to get our answer.

-2 - 3 = -5

-1 - 3 = -4

0 - 3 = -3

1 - 3 = -2

2 - 3 = -1

Hope this helps!

Answer:

D. -1.5 cm/hour

Step-by-step explanation:

Rate of change = \( \frac{y_2 - y_1}{x_2 - x_1} \)

Using the coordinates of the two points on the line, (0, 18) and (4, 12),

Let,

\( (0, 18) = (x_1, y_1) \)

\( (4, 12) = (x_2, y_2) \)

Plug the values into the formula for rate of change.

Rate of change = \( \frac{12 - 18}{4 - 0} \)

\( = \frac{-6}{4} \)

Simplify

\( = \frac{-3}{2} = -1.5 \)

Rate of change = -1.5 cm/hour

Answer:

counterclockwise and stormy

Step-by-step explanation:

I did the assignment.

Answer:

i forget how to get it :)

Step-by-step explanation:

Answer: B

Step-by-step explanation: logical answer but if its nit right my bad

Answer:  j(x) = (x-1)(x+2)

The x-1 part is because of the root x = 1

The root x = -2 leads to the factor x+2

A total of 7 Cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

A line plot is drawn with the cyclists' names plotted on the x-axis and their corresponding distances covered plotted on the y-axis.

The dots are then joined to form a line, revealing the relationship between the cyclist's names and their corresponding distance traveled. The cyclist names and their corresponding distances are given in the table below.

Name Distance (in miles) Gina 40 1/2 Rey 50 Faye 35 3/4 Mark 60 John 45 1/2 James 40 1/2 Albert 40 1/4 William 54 1/4 Nathan 40 Kate 40 1/4 Mary 60 Risa 40 Abi 35 3/4 Joan 50 1/2 1. The number of cyclists is 14. 2. The longest distance covered by a cyclist is 60 miles.

Mary and Mark both covered this distance.3. A total of 7 cyclists traveled less than 50 miles. 4. The most common distance traveled by cyclists is 40 1/2 miles. Gina, James, and Albert covered this distance. 5. 2 more cyclists traveled 45 miles than 55 1/4 miles. Only William traveled 55 1/4 miles, while John and James both traveled 45 1/2 miles.6.

A total of 7 cyclists traveled more than 45 miles. 4 cyclists traveled 50 miles or more, and 3 cyclists traveled more than 54 1/4 miles.

For more questions on Cyclists .

https://brainly.com/question/3807925

#SPJ8

given that m is parallel to n,

the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.

using the corresponding angle rule we know that:

2x + 16 = 96

2x = 80

so x = 40

Answer:

(2+n)-3

That's how you write if that is what you want.

Answer:

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

The calculation of the area of the triangle is incorrect

Step-by-step explanation:

To find the surface are of the net for the polyhedron, each area of the net will be calculated. There are 2 rectangles, 1 square, and 2 triangles that made up the net of the polyhedron.

To find out which calculation is incorrect, let's do our own calculation and compare with what Jada has:

Area of rectangle = lenght * width

Area of rectangle with lenght: 5 cm, width: 4cm

Area = 5*4 = 20 cm²

Area of square with side: 4 cm,

Area = 4² = 16 cm²

Area of rectangle with lenght: 4 cm, width: 3cm

\( Area = 4*3 = 12 cm^2 \)

The 2 triangles have the same dimensions:

Height = 3 cm

Base = 4 cm

Area of triangle = ½*base*height

Area of each triangle = ½*4*3 = 2*3 = 6 cm²

This is different from what Jada calculated. Jada's calculation for the area of each of the triangles is incorrect. The area should be 6 cm² not 12 cm².

Surface area of the net = 20 + 16 + 12 + 2(6) = 60 cm²

The percentage of employees who are men as required to be determined in the task content is; 52.2%.

It follows from the task content that the percentage of employees who are men is to be determined.

Since there are 11 women and 12 men who are employees.

It follows that the percentage of employees who are men can be calculated as follows;

Percent of men = (12 / 23) × 100%

Percentage of men = 52.173913 %.

However, when rounded to 1 decimal place; the required percentage is; 52.2%.

Read more on percentages;

https://brainly.com/question/24877689

#SPJ1

Answer:

A

Step-by-step explanation:

A

Answer:

Q9 -  Option 1---- A -  15.6 Square Units

Q10 --Option --- (B) RECTANGLE

Step-by-step explanation:

Q9 --

we know area of triangle  = 1/2 ab sin theta

Where theta is the angle included between sides A and side B

A  = 5.2

B = 7

theta  = 121 degrees

1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units

Conclusion

The area of the triangle is 15.6 Square Units

Option --- (B) RECTANGLE

Hope this helps!

Answer: x=14 y=10

Step-by-step explanation:

After regrouping 1 tenth into 10 hundredths; we have; 1 whole, 5 tenths, and 10 hundredths, After crossing out 3 tenths and 2 hundredths,; what we have left is; 1 whole, 2 tenths, and 8 hundredths. the result is; 1.28

Given data :

The model can be used as follows;

The model shows a total of 1 whole and 6

tenths. After regrouping 1 tenth into 10

hundredths, there is 1 whole, 5 tenths, and

10 hundredths. After crossing out 3 tenths

and 2 hundredths, there is 1 whole, 2 tenths, and 8 hundredths.

According to the question;

After regrouping 1 tenth into 10 hundredths; we have; 1 whole, 5 tenths, and 10 hundredths

After crossing out 3 tenths

and 2 hundredths,; what we have left is; 1 whole, 2 tenths, and 8 hundredths.

Ultimately, the result is; 1.28

Learn more about Place value refer to :

https://brainly.com/question/25137147

#SPJ1

The length of line x in the figure of the cube given is 19.

Calculate the length of the base of the cube, which is the diagonal of the lower sides :

base length = √10² + 6²

base length = √136

The length of x is the diagonal of the cube

x = √(√136)² + 15²

x = √136 + 225

x = √361

x = 19

Therefore, the length of line x in the figure given is 19.

Learn more on length : https://brainly.com/question/23008020

#SPJ1

Answer:

This is the correct answer. x > 4

Step-by-step explanation:

Answer:

The Discriminant of the function is -92

It has ZERO distinct real number zeros.

Step-by-step explanation:

Answer:

95%

Step-by-step explanation:

Upper limit = 8.09 cm

Lower limit = 6.41 cm

Distribution mean = 7.25 cm

Standard deviation = 0.42 cm

The number of standard deviations from the mean of the upper and lower limits are, respectively:

Both limits are two standard deviations away from the mean.

According to the empirical rule, in normal distributions, 95% of the data falls within two standard deviations of the mean. Therefore, 95% of the apples have diameters that are between 6.41cm and 8.09 cm.

The value of x using ratios= 10/3.

We can determine how much of one quantity is in the other by comparing two amounts of the same units and finding the ratio. Ratios can be divided into two groups. One is the part to whole ratio, and the other is the part to part ratio.

The link between two distinct entities or groupings is depicted by the part-to-part ratio.For instance, the boy-to-girl ratio in a class is 12:15, whereas the part-to-whole ratio describes the relationship between a specific group and the whole. For instance, five out of ten people find reading to be enjoyable. In other words, 5 out of every 10 people enjoy reading, or the ratio of the part to the whole is 5: 10.

In the given question,

12/4 = 10/x

⇒ x = 10/3

To know more about ratios, visit:

https://brainly.com/question/13419413

#SPJ1

Answer:

$225.00

Step-by-step explanation:

7% of 225 is $15.75

.07x225=$15.75

$225+$15.75=$240.75

Answer:

b

Step-by-step explanation:

The x-intercept for function f(x) = −23x + 8 is (8/23, 0)

In this question, we have been given a function f(x) = −23x + 8

We need to find the x-intercept for given function f(x)

Let f(x) = y

So, given function becomes,

y = −23x + 8

To find the x-intercept, set y = 0,

0 = -23x + 8

23x = 8

x = 8/23

Therefore, the x-intercept for function f(x) = −23x + 8 is (8/23, 0)

Learn more about x-intercept here:

https://brainly.com/question/14180189

#SPJ1

Answer: \(45^{\circ}\)

Step-by-step explanation:

\(\angle ABC\) is formed by lines AB and BC.

This means

\(\tan (\angle ABC)=\left|\frac{-1}{1}} \right|\\\tan(\angle ABC)=1\)

From the diagram, we can tell that angle ABC is acute, so it measures \(\boxed{45^{\circ}}\)