Betty and Bill just won $10,000 in the Pennsylvania state lottery. They decide to spend $3,000 now and put the remaining $7,000 in an investment earning 8 percent compounded annually. If they use the money in that investment for a vacation in five years, approximately how much will they have available to spend on that vacation?

Answer:

33-11=a

Step-by-step explanation:

3-11=22  so a =22 , so 22 equals a. this makes a 11 less than 33.  33-22=11 so a has to equeal 22

Answer:

12 Miles is the answer! Hope you do Great!

Step-by-step explanation:

Answer:

f = 371

Step-by-step explanation:

Just add 518 to both sides this dumb easy

Answer: 156 divide 15 = 10.4

Step-by-step explanation:

Answer:

35a+25

Step-by-step explanation:

You distribute the 5 to the 7a & the 5 inside the parenthases.

Answer:

x ≥ -8

General Formulas and Concepts:

If it is a closed dot, we use the inequality and equal sign: ≥ or ≤

If it is a open dot, we use the inequality only: > or <

Step-by-step explanation:

We can label the solutions as x.

We see starting from -8 that are solutions get larger.

Since the dot is closed, we use the greater than or equal to sign: ≥

Therefore, x has to be greater than -8 and increasing towards ∞.

x ≥ -8

Explanation:

The two parallel lines form a parallelogram.

For any parallelogram, the opposite angles are congruent.

So the angle adjacent to P is also 106 degrees.

The adjacent angles add to 180

P+106 = 180

P = 180-106

P = 74

A car dealership manager has determined that the profit, in thousands of dollars, of the dealership can be determined by the expression LaTeX: x^2-4xL a T e X : x 2 − 4 x, where LaTeX: xL a T e X : x is the number of cars sold. A different manager states that the profit of the dealership can be determined by the function LaTeX: 5xL a T e X : 5 x. What number of cars sold makes the equation LaTeX: x^2-4x=5xL a T e X : x 2 − 4 x = 5 x true? Select all that apply.

Answer:

x = 0 ; x = 9

Step-by-step explanation:

Given that:

Manager 1 's profit function:

x² - 4x ; x = number of cars sold

Manager 2's profit function:

5x ; x = number of cars sold

Nunbers That makes the equation:

x² - 4x = 5x true

x² - 4x = 5x

Subtract 5x from both sides to make right hand side =. 0

X² - 4x - 5x = 5x - 5x

x² - 9x = 0

Using factorization to equate separate the x values.

x(x - 9) = 0

x = 0 or (x - 9) = 0

Hence,

x = 0 ; or

x - 9 = 0 ; x = 9

x = 0 OR x = 9

Number of cars sold which makes both managers have the same profit from the functions are either 0 or 9

Answer:

n = 3.44

Step-by-step explanation:

The interior angle of a regular n-gon is given by the formula;

[tex] I = \frac {180(n-2)}{n} [/tex]

Where,

Given that interior angle = 75.2°

Substituting into the equation, we have;

[tex] 75.2 = \frac {180(n-2)}{n} [/tex]

Cross multiplying, we have;

[tex] 75.2n = 180(n-2)[/tex]

[tex] 75.2n = 180n - 360[/tex]

Rearranging the equation, we have;

[tex] 180n - 75.2n = 360[/tex]

[tex] 104.8n = 360[/tex]

[tex] n = \frac {360}{104.8}[/tex]

n = 3.44

Therefore, the number of sides "n" of the regular n-gon described is 3.44.

Answer:

Step-by-step explanation:

I think its c

Answer:

B = 142

Step-by-step explanation:

First, you need to find the angle of the third angle of the triangle. The three angles of a triangle always add up to 180, so it will be:

n + 77 + 65 = 180

= n + 142 = 180

= n = 38

Now, you need to find the angle supplementary to 38, as 38 and B are linear angles. Two supplementary angles add up to 180, so:

B + 38 = 180

= B = 142

The measure of the angle marked as B that is ABD in the given figure is equal to 142°.

Let us consider the vertices of the triangle are A, B , C

Where

measure of angle A = 77 degree

measure of angle C = 65 degree

Ray CB extends to Point D such that C-B - D.

Sum of all the interior angles in a triangle is equal to 180 degree.

Let measure of angle ABC be x degree.

m∠ABC + m∠BAC + m∠BCA  = 180°

⇒ x° + 77° + 65° = 180°

⇒ x° + 142°= 180°

⇒ x° = 38°

Now angle ABC and angle ABD are linear pair.

m∠ABC + m∠ABD = 180°

⇒ 38° + m∠ABD = 180°

⇒ m∠ABD = 180° - 38°

⇒ m∠ABD = 142°

Therefore, measure of the angle marked as B is equal to  142°.

learn more about angle here

brainly.com/question/30147425

#SPJ2

Answer:

What do you mean?

Step-by-step explanation:

Answer: someone else can have it, but thanks

Step-by-step explanation:

Answer:

The slope is 2.5

Step-by-step explanation:

7-2=5. 4-2=2

5/2=2.5

Answer:

3x+8 is the simplest you can get to

Step-by-step explanation:

Answer:

3x+8

Step-by-step explanation:

3x+2(x+6)-4-2x

Apply the distributive property

3x+2x+12-4-2x

Combine Like Terms

3x+8

Answer:

False.

Step-by-step explanation:

u = 3

Isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Add 6 to both sides of the equation:

u - 6 = -3

u - 6 (+6) = -3 (+6)

u = 6 - 3

u = 3

~

Answer: A, C and D

Step-by-step explanation:

Let us find the slope(rate of change ) of each pair of points

The slope formula is

Plug in the points (− 4 ,− 11 ) and (-2 , − 7) to get;

The rate of change of this pair 2:1

For B part, we plug the points ( 5 , 6 ) and ( − 5 , 12 )

The rate of change is NOT 2:1

For part C, we plug in ( 0 , − 3 ) and ( − 4 , − 11 )

The rate of change of this pair is also 2:1

For part D, we plug in (0 , − 3) and ( 5 , 7 )

This also has rate of change to be 2:1

Answer:

1. House arrest

2. Probation for 10 months

3. Speak to schools

4. Regular prison for 10 years

5. Lifetime on probation

Answer:

ok

Step-by-step explanation:

1) House Arrest!

2) Court

3) Speak to School's

4) Solitary

5) Probation

0-0

Answer:

94 degrees

Step-by-step explanation:

So you set those equations equal to 180 to find x.

14x+10+15x-4= 180

29x+6= 180

29x= 174

x=6

So now that x=6, you plug it in to find the bold angle.

14(6)+10

84+10

= 94

Answer and step-by-step explanation:

Let's say for example that you want the circumference of a car tire to be a certain size, but the company only sells the measurements in the tire's radius. The formula for circumference is 2 * pi * r. We know that pi is not a rational number, so an estimate is required. The car tire you want is 6.5 inches in it's radius, and you want to see what the circumference is. Firstly, let's substitute the r in our equation. Then the equation becomes 2 * pi * 6.5. Then let's solve. Let's change our equation to 2 * 6.5 * pi to save the irrational part for last. Then our equation is 13 * pi. Lastly, let's round pi to 3.14, since we can only estimate its irrationalness. We get 40.82 inches. This is an example that you might use in real life while multiplying and estimating. I hope this helps, I hope it's not wrong, but I do not think it is.

Answer:

[tex] \triangle \: A'B'C' \: will \: have : \\ \angle \: A' \: at \: point \: ( - 1 ,\: 1). \\ \angle \: B' \: at \: point \: ( 1,\: 3). \\ \angle \: C' \: at \: point \: ( - 3 ,\: 3).[/tex]

Answer:

Step-by-step explanation:

im guessing probably E

I hope im right

Answer: when there is a small amount of data in the population.

Answer:

The circumference of the circle is 26.4 cm

The area of the circle is 55.44 cm²

Step-by-step explanation:

The circumference of the circle C = 2πr

The area of the circle A = πr²

r is the radius of the circle

∵ r = 4.2 cm

→ Substitute it in the first rule to find the circumference

∵ C = 2πr

∵ π = [tex]\frac{22}{7}[/tex]

∴ C = 2 ×  [tex]\frac{22}{7}[/tex] × 4.2

∴ C = 26.4 cm

∴ The circumference of the circle is 26.4 cm

∵ A = πr²

∵ r = 4.2 cm

∵ π = [tex]\frac{22}{7}[/tex]

→ Substitute them in the second rule to find the area

∵ A = [tex]\frac{22}{7}[/tex] × (4.2)²

∴ A = 55.44 cm²

∴ The area of the circle is 55.44 cm²

Answer:

Step-by-step explanation:

Since no further information is given in this question the only reason a consumer would spend more on one item than the other is purely because of preference. The consumer in this scenario seems to enjoy eating or needs apples much more than he enjoys eating or needs Oranges. Therefore, he is ok with spending more money and getting a larger quantity of Apples than Oranges. This all depends on the demand that the individual has for a specific item over another item.

Answer:

I think this is the answer

-0.25

Step-by-step explanation:

2-3/4

-1/4

Answer:

3 is te anwer jajajaj thanks u

answer:

the slope is: 3 over 2

the y intercept is: negative 3

explanation:

hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

Answer:

hope this helps :)

Step-by-step explanation:

brainliest if correcto

Answer:

3

Step-by-step explanation: