Robin, who is self-employed, contributes $4500/year into a Keogh account. How much will he have in the account after 30 years if the account earns interest at the rate of 2.5%/year compounded yearly?

Answers, in order:

1. Acute

2. Congruent

3. Supplementary angles

4. Vertical angles

5. Adjacent angles

6. Adjacent supplementary angles

7. Alternate interior angles

8. Alternate exterior angles

9. Consecutive interior angles

10. Corresponding angles

11. Straight angle

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

Reflection over the line x = -1 alters the x-coordinates, but leaves the y-coordinates alone. The image point is as far horizontally from the reflection line as the pre-image point is.

Each new x-coordinate is the old one subtracted from twice the x-value of the line of reflection:

  (x, y) ⇒ (-2-x, y)

  U(-8, -6) ⇒ U'(6, -6)

  V(-3, -6) ⇒ V'(1, -6)

  W(-4, -1) ⇒ W'(2, -1)

Answer:

y = 11

Step-by-step explanation:

Perimeter = 6 + 5y + y + 2 + 4y + 3

                = 10y + 11

10y + 11 = 121

10y = 121 - 11

     = 110

y = 110 ÷ 10

y = 11

Answer:

They are adjacent

Step-by-step explanation:

Answer:

(0,0) and (60,0)

Step-by-step explanation:

because they are the points on the x-axis

Answer:

1) x+5y=8 (that’s a basically simplified already)

2) -44 1/3

Step-by-step explanation:

1) Since its in it’s most simplified form, leave it like that.

2) Solve it, combine like terms, and then just divide 3 on both sides to isolate variable

Answer:

A. Parrellel

Step-by-step explanation:

it is parrellel because if you look between b and c you can

see that it is a parrellel line

Answer: 14$

Step-by-step explanation:

let x = number of games, let y = cost of shoe rental

then        Total cost = x•$4 + y

In this case, TC = 3•$4 + $2

TC = $14

Answer:

0.42352941176

Step-by-step explanation:

hope this helps

The value of quotient will be 0.42.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

''4/5 divided by 17/9''

Now,

Since, The expression is,

''4/5 divided by 17/9''

Hence, After solving we get;

⇒ 4/5 ÷ 17/9

⇒ 4/5 × 9/17

⇒ 36/85

⇒ 0.42

Thus, The value of quotient = 0.42

Learn more about the divide visit:

brainly.com/question/844312

#SPJ2

Answer:

b

Step-by-step explanation:

Answer:

Contributions to a 401(k) are pre-tax, meaning they are deposited before your income taxes are deducted from your paycheck. However, when in retirement, withdrawals are taxed at your then-current income tax rate. Conversely, there is no tax savings or deduction for contributions to a Roth IRA

Answer:

14720$ he will make and there are 7360 tomatoes

Step-by-step explanation:

Answer:

Calculate Batting Average

Calculating a baseball player's batting average is not a difficult task at all. A batting average represents the percentage of at bats that result in hits for a particular baseball player. The formula is:

Hits / At Bats = Batting Avg.

That's all there is to it. For example, if Justin Upton gets 155 hits in a season and has 554 at bats, his batting average would be 155/554, or .280. The batting average is usually represented not as a percentage (i.e. 28.0%), but instead as a decimal number with three places after the decimal. A batting average of 1.000 means that the player gets a hit every time he comes to bat, and an average of .000 means the player has no hits.

It should also be noted that not every time a batter comes to the plate counts as an at bat. Plate appearances that do not count as at bats include walks, hit-by-pitches, sacrifices, etc.

Here's one last example: Albert Pujols gets 35 hits in 113 at bats in May, so his batting average would be calculated as 35 divided by 113, which is .310 for the month of May.

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

The previous answer response to this question was too long and complicated. Just follow the things you know from the question and use the formula.

a=h/n, a is the batting average, h is the number of hits, and n is the number of times at bat. Use substitution to make your formula now look like this:

0.294 = h/544.

Now you have to get h by itself. To do that, you do the opposite of division: multiply. What you do to one side, you do to the other.

544(0.294 = h/544)544 ⇒ h = 544 x 0.294.

Your result should be 159.936; round to the nearest whole number ⇒ 160.

Answer: 5.3%

Step-by-step explanation:

The formula to compute rate of return is given by :-

Rate of return = [tex]\dfrac{\text{Selling price - investing price }}{\text{ investing price}}\times100[/tex]

[tex]=\dfrac{1000-950}{950}\times100\%\\\\=\dfrac{50}{950}\times100\%\\\\=\dfrac{100}{19}\%\\= 5.3\%[/tex]

Hence,  his rate of return = 5.3%

Answer:

2 sqrt(13)

Step-by-step explanation:

We can use the Pythagorean theorem

The x value between A and B is  4 units and the y value is  6 units

The distance is

d = sqrt( x^2 + y^2)

   = sqrt( 4^2 + 6^2)

   = sqrt( 16+36)

  = sqrt(52)

  = sqrt(4*13)

 = 2 sqrt(13)

Answer: B) 18

Step-by-step explanation: It is also widely used for predicting the value of one dependent variable from the values of two or more independent variables. When there are two or more independent variables, it is called multiple regression

The number of independent variables or predictors present in the regression model is 3.

Therefore, the number of predictors in the regression is 3.

Learn more :https://brainly.com/question/18405415

Answer:

W

Step-by-step explanation:

The table that will represent a function is the table where every x-value (domain) has exactly one y-value (range).

Table W represents a function because each x-value has exactly only one y-value.

The other tables have two y-values assigned to a one x-value.

Answer:

W

Step-by-step explanation:

Answer:

Are directly proportional

Answer: 12u-4-4u=76

Step-by-step explanation: Use distributive property and PEMDAS, that might help.

Answer:

[tex]s = 54m +160[/tex]

Step-by-step explanation:

Given: The attachment

Required: Determine the equation

We start by picking any two equivalent points on the table:

[tex](m_1,s_1) = (2,268)[/tex]

[tex](m_2,s_2) = (4,376)[/tex]

Next, we determine the slope, M:

[tex]M = \frac{s_2 - s_1}{m_2 - m_1}[/tex]

[tex]M = \frac{376 - 268}{4-2}[/tex]

[tex]M = \frac{108}{2}[/tex]

[tex]M = 54[/tex]

The equation is then calculated as:

[tex]s - s_1 = M(m - m_1)[/tex]

Where:

[tex]M = 54[/tex]

[tex](m_1,s_1) = (2,268)[/tex]

So, we have:

[tex]s - 268 = 54(m - 2)[/tex]

Open bracket

[tex]s - 268 = 54m - 108[/tex]

Collect like terms

[tex]s = 54m - 108 + 268[/tex]

[tex]s = 54m +160[/tex]

Hence, the equation is: [tex]s = 54m +160[/tex]

Answer:

x = 29.9 ft

Step-by-step explanation:

Given:

Rectangle 1 ≈ Rectangle 2

In Rectangle 1

A = 13.4 ft

B = 4.6 ft

In Rectangle 1

A = 87.1 ft

B = x ft

Find:

Value of x

Computation:

Rectangle 1 ≈ Rectangle 2

So,

13.4 / 4.6 = 87.1 / x

x = [(87.1)(4.6)] / 13.4

x = 29.9 ft

500 kg x 90% = 500x 0.9 = 450 kg of Steel is needed.

450 kg x 98% = 450 x 0.98 = 441 kg of iron needed.

450 x 0.02 = 9 kg of carbon is needed for the steel.

50 kg of chromium is needed.

Chromium is 10% carbon, 50x 0.1 = 5 kg of carbon is needed for the chromium.

Total iron = 441 kg

Total carbon = 9 + 5 = 14 kg

Total chromium = 50 kg

Answer:

only student ll (2)

Step-by-step explanation:

Answer:

36 girls

Step-by-step explanation:

2x=24

x=12

3(12) = y

y= 36

Answer:

Two

Step-by-step explanation:

Because 1/2 plus 1/2 equals 1 witch would be the final half to make one whole