Mary Chapman had been working at First Savings for 18 years when she
became permanently disabled and could not continue to work. She was 50 years
old and had planned to retire in 12 years. Her final average salary was $34,500.
First Savings' rate of benefits is 2%. What is Chapman's monthly disability
benefit?

Answer:

1198

Step-by-step explanation:

241+89+802+66

330+802+66

1132+66

1198

Answer:

x = 18, y = 45

Step-by-step explanation:

4x - 7 + a = 180 (linear pair)

But, a = 6x + 7 (alternate interior angles)

=> 4x - 7 + 6x + 7 = 180

=> 10x = 180

=> x = 18

Now, 3y - 20 = 6x + 7 (vertically opposite angles)

=> 3y - 20 = 6(18) + 7

=> 3y = 108 + 7 + 20

=> 3y = 135

=> y = 45

Hope it helps :)

Please mark my answer as the brainliest

Answer:

x=18, y=45

Step-by-step explanation:

I'm in algebra 2, so i don't remember theorem names anymore. But I think I know how to solve it. M and N are parallel, which means that the angles that form are equal to each other on opposite sides. We also know that a flat line adds up to 180 degrees. 6x+7 + 4x-7 add up to 180. (They are not equal angles) Solve for x.  10x=180 x=18.

Now for the y value. 6x+7 and 3y-20 are equal to each other, because they are opposite angles. 6(18)+7=115. set y equal to 115. 3y-20=115. 3y=135

y=45

Answer:

The sunflower's height when it was planted.

Step-by-step explanation:

The sunflower's height in inches, h, after weeks, is given by the equation :

h=2.5w + 19

We need to tell that what the number 19 represent in the equation.

If we put w=0, we get,

h=2.5(0) + 19

h = 19 inches

It means when the number of weeks is equal to 0, its height is equal to 19 inches i.e. 19 represents the initial height of the sunflower. So, the correct option is (c) "The sunflower's height when it was planted."

Answer:

The answer is 22 2/5

Step-by-step explanation:

So the correct is B

Answer:

1/8

Step-by-step explanation:

2 3/4= 11/4

5 1/2= 11/2

11/2 divided by 11/4 = 1/8

Answer:

4

Step-by-step explanation:

Image result for how many equal parts are in 4/5

Each equal part is called one-fourth or a quarter of the whole sheet. So, any whole can be divided into four equal parts and each part is one-fourth or a quarter of the whole.

Answer:

its 3

Step-by-step explanation:

do 10 to the power of 10

50 to teh power of 3

100000 to the power of 3

Answer:

The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!

Step-by-step explanation:

internet.

Answer:

2614 cars will be driven by females, give or take 28.

Step-by-step explanation:

For each Ford vehicle, there are only two possible outcomes. Either it is driven by a female, or it is not. Cars are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Company determined that the probability of a randomly selected Ford vehicle on the road being driven by a female is 0.71.

This means that [tex]p = 0.71[/tex]

If there are 3,682 Ford vehicles in your town

This means that [tex]n = 3682[/tex]

__________ cars will be driven by females, give or take __________.

The mean and the standard deviation complete this. So

Mean: [tex]E(X) = np = 3682*0.71 = 2614[/tex]

Standard deviation: [tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{3682*0.71*0.29} = 28[/tex]

2614 cars will be driven by females, give or take 28.

Answer:

C

Step-by-step explanation:

circumfrence = 2 pi r

= 20* 3.14= 2*31.4= 62.8

or c

if my answer helped please mark as brainliest.

Answer:

62.8

Step-by-step explanation:

If your not aloud to don't but if you look it up there's a really good  calculator.

Answer:

Kindly check attached picture and explanation

Step-by-step explanation:

A.) The tree diagram is attached in the picture below.

B.) Number less than 3 :

Event A:

A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}

C.)

Event B:

B = {1TT, 3TT, 5TT}

D.)

Event C:

C = {1HT, 1TH, 3HT,3TH,5HT, 5TH}

E.)  

A' = Elements not in A = number ≥ 3

A' = {3HH,3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}

Question f and G are not well formatted ;

h. Check attached picture

I) i. Are A and B mutually exclusive? Are A and C mutually exclusive? Are B and C mutually exclusive?

A and B are mutually exclusive if AnB = ∅

Check :

AnB = {1TT}

Hence, A and B are not mutually exclusive

A and C

AnC = {1HT, 1TH}

A and C are not mutually exclusive.

B and C

BnC = ∅

B and C are mutually exclusive

Answer:

1. 25

2. 9

Step-by-step explanation:

If I'm correct, to complete the square you need to use [tex](\frac{b}{2} )^{2}[/tex]

So, for #1, b is 10. [tex]\frac{10}{2}[/tex] = 5. [tex]5^{2}[/tex] = 25.

For #2, b is -6. [tex]\frac{-6}{2}[/tex] = -3. [tex]-3^{2}[/tex] = 9.

Hey there! As far as I understand the problem, she made $2,200 in profit. Take 1,375 and multiply it by 1.6.

Answer:

angle 2

Step-by-step explanation:

adds up to 180 degrees

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

1). Let the distance of the race = x feet

   Speed of hare = 250 feet per hour

   If it takes the time to complete the race = t hours

   Since, Speed = [tex]\frac{\text{Distance}}{\text{Time}}[/tex]

   250 = [tex]\frac{x}{t}[/tex]

   t = [tex]\frac{x}{250}[/tex]

2). Speed of tortoise = 50 feet per hour

   Time taken by the tortoise [tex]t_1=\frac{x}{50}[/tex]

   So the equations will be,

   t = [tex]\frac{x}{250}[/tex] -------(1)

   [tex]t_1=\frac{x}{50}[/tex] -------(2)

3). Since, tortoise took 8 hours longer than hare,

   [tex]t_1[/tex] - t = 8

   [tex]\frac{x}{50}- \frac{x}{250}=8[/tex]

   [tex]\frac{(5-1)x}{250}=8[/tex]

   [tex]\frac{4x}{250}=8[/tex]

   x = [tex]\frac{250\times 8}{4}[/tex]

   x = 500 feet  

Answer:

$51.36

Step-by-step explanation:

Answer:

To calculate [tex]r[/tex], calculate the quotient of two consecutive terms.

[tex]r = \frac{\frac{2(n+1)!}{2^{2(n+1)}}}{\frac{2n!}{2^{2n}}}= \frac{n+1}{4}[/tex]

For all [tex]n \ge 4[/tex], [tex]r>1[/tex], so the series converges, as the series grows (even more than) exponentially.

Answer:

h = (A - 2πr²)/(2πr)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

A = 2πrh + 2πr²

Step 2: Solve for h

Answer:

h = -32.7

Step-by-step explanation:

8.44 = 34.6 + 4h / 5

-26.16 = 4h/5 (First off we subtract 34.6 from each side, to make it easier to solve)

-26.16 = 0.8h (Then, we turn 4h/5 into 0.8h since 4h / 5 = (4/5)h.)

-32.7 = h (Divide both sides by 0.8..)

h = -32.7 (And voila!! Your answer is right there!)

Answer:

4:3

Step-by-step explanation:

Given function:

Divide similar factor by each term:

Rewrite:

Therefore, the simplest ratio for 8 circles and 6 squares would be 4:3..

Step-by-step explanation:

-4x+5>-5

    -5   -5

-4x>-10

/-4   /-4

x<2/5

You switch the sign whenever you divide a negative. In this case, we did, so instead of it being x>2/5, the answer is x<2/5.

hope it helps! :3

Answer:

x<5/2

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

its b because you add the 3.4n +2.5n then you subtract -5.3+2.8

Answer:

−1,−4,−9,−14,-19,-24,-29,-34,-39,-44,-49,-54

Step-by-step explanation:

Sum is 3 then 5

Answer:

25

Step-by-step explanation:

250/10 = 25

Answer:

It is 25

Step-by-step explanation:

I did the test

Veremos que la propocición es falsa. La magnitud de un ángulo no tiene dependencia con la longitud de sus lados.

La magnitud de un ángulo depende unicamente de la apertura entre sus lados. Un ejemplo de esto puede ser un par de triangulos equivalentes, donde las figuras son las mismas, pero las dimensiones de los lados no lo son.

En triangulos equivalentes podemos ver que todos los angulos interiores son exactamente igulaes, pese a que la longitud de los lados es diferente, asi vemos que la magnitud de un ángulo no tiene dependencia con el largo de sus lados.

Sí quieres aprender más sobre ángulos, puedes leer:

https://brainly.com/question/15755958

Answer:

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

-6*x-(84)=0

Step by step solution :

STEP 1: Pulling out like terms

1.1     Pull out like factors :

  -6x - 84  =   -6 • (x + 14)

Equation at the end of step 1:

STEP 2: Equations which are never true

2.1      Solve :    -6   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    x+14 = 0

Subtract  14  from both sides of the equation :

                     x = -14

One solution was found :

x = -14

Answer: i think u should divide 84 by 6 to keep x alone the answer is x=14

but the answer depends on the sign of the variable .

Step-by-step explanation:

Answer:

2,000

Step-by-step explanation: