Tristi contributes a set percentage of her gross pay to a 401k account and will have a total of $133,473.00 by retirement. Tristi's employer also contributes a set percentage, which will increase her total to $262,612.00. What is the percent increase between the total without and the total with Tristi's employer's contribution? Round your final answer to the nearest whole percent. (1 point)
59%
63%
81%
97%

Answer:

  P(B) = 0.20

Step-by-step explanation:

For these events, which are not independent or mutually exclusive, the relation between the various probabilities is ...

  P(A or B) = P(A) +P(B) -P(A and B)

Solving for P(B), we find ...

  P(B) = P(A or B) +P(A and B) -P(A)

  P(B) = 0.77 +0.13 -0.7 = 0.20

The probability of B is 0.20.

__

Additional comment

The formula applies to independent and mutually exclusive events, as well. For independent events, P(A and B) = P(A)·P(B). For mutually exclusive events, P(A and B) = 0.

Answer:

3600

Step-by-step explanation:

the formula to find the area of a square is:

A=a2

the formula to find the perimeter of a square is:

P=4a

hope that helps

Answer:

30 cm

Step-by-step explanation:

we know that the area of a square is axa (a side)

that is a^2

a^2 = 900

prime factorization of 900 = 2x3x5

=30 cm

( verification ) axa = 30x30 ='900

perimeter = 4x side

side=30

=30x4

=120 cm

therefore ans done

Answer:

41.82$

Step-by-step explanation:

The prices are

7.58$, 16$, 18.24$.

To get the total of all what Lucy bought, You add the prices altogether.

That is,

18.24$

+16.00$

+07.58$

41.82$

The total amount of what Lucy bought is 41.82$

Answer:

mwuahhh live u

Step-by-step explanation:

I don't think that the pets have been able and have been in a situation like that since the first day when they were

Answer:

-6 1/9

Step-by-step explanation:

-3 1/3 x 1 5/6 = -10/3 x 11/ 6

                     = -110/18

                     = -6 1/9

Your welcome, feel free to ask any questions in the comments section of this answer :D

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Explanation:

x = score on the fifth exam

The set {78,93,82,76,x} sums to 78+93+82+76+x = 329+x

Divide this over 5 since we have five total scores

(329+x)/5

That fraction represents the final average grade

Susan wants this average to be at least 85

[tex]\text{average} \ge 85\\\\\frac{329+x}{5} \ge 85\\\\329+x \ge 5*85\\\\329+x \ge 425\\\\x \ge 425-329\\\\x \ge 96\\\\[/tex]

Therefore, Susan must get a 96 or higher on the next exam if she wants to aim for the average to be 85 or larger.

In other words, the lowest grade she can get is a 96

Answer:

Yes, I can help. Do you have any specific problems, or do you need an overview?

Step-by-step explanation:

Answer:

y=5+10x

Add 10x to both sides of the equation.

Answer:

A

Step-by-step explanation:

A rational number that doesn't go on forever. Like Pi, that is not a rational number. But, 2.3 would be a rational number.

72/100 = .72 which is a rational number

Like I said before Pi goes on forever so it is NOT a rational number.

1 1/3. One is a rational number but 1/3 is o.3 with the 3 repeating forever. So it WOuld NOT be a rational number.

8/526 has numbers that go on forever so it would NOT be a rational number.

0.212212221 goes on forever. The three dots (...) signal that the decimal goes on. SO it would NOT be a rational number.

5/9= 0.555555555555555555555... the 5 goes on forever making it NOT a rational number.

Answer:

10x + 2

Step-by-step explanation:

lim f(x + h) - f(x) / h = f'(x) = (5x² + 2x)' = 10x + 2

h→0

Answer:

a - 4/5

b - 1/2

c - 9/10

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10

8/10 4/5

5/10 1/2

Answer:

i don't know honestly I just want my free answers man

Answer:

The same measure of what? The angle of the arc or the length? If it is the same angle, then it is similar. If it is the same length and angle then it is congruent.

Step-by-step explanation:

Answer:

slope = - [tex]\frac{3}{11}[/tex]

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 14, 3 ) and (x₂, y₂ ) = (- 3, 0 )

m = [tex]\frac{0-3}{-3-(-14)}[/tex] = [tex]\frac{-3}{-3+14}[/tex] = - [tex]\frac{3}{11}[/tex]

Answer:

The slope is M= -3/11  (M= Negetive three over eleven)

Step-by-step explanation:

Answer:

Step-by-step explanation:

f(x) = x⁴ - 8x² + 16

f'(x) = 4x³ - 16x = 4(x³ - 4x) = 4x(x² - 4) = 4x(x - 2)(x + 2)

f'(x) = 0, x = 2, -2

f"(x) = 4(3x² - 4)

f''(0) = -16 < 0, f""(2) = f''(-2) 3(12 - 4) > 0

so f(2) and f(-2) are minimum values

f(0) is maximum value.

f(0) = 16, f(2) = f(-2) = 2⁴ - 8*2² + 16 = 0

Maximum = 16, minimum value = 0

-∞ < x < -2, f'(x) < 0

-2 < x < 0, f'(x) > 0

0 < x < 2, f'(x) < 0

2 < x < ∞, f(x) > 0

increase: (-2, 0) and (2, ∞)

decrease: (-∞, -2) and (0, 2)

The temperature after 22 minutes is 75.75 degrees

Given the resulting exponential model for the temperature, t, after m minutes can be approximated by the model t = 133(0.85)^m + 72.

If the time used is 22 minutes, the required temperature dring this time is expressed as:

t = 133(0.85)^22 + 72

t = 3.725 + 72

t = 75.75

Hence the temperature after 22 minutes is 75.75 degrees

Learn more on functions and values here https://brainly.com/question/10439235

Answer:13

Step-by-step explanation Jayden is 8 Andy has to be 1. Jayden is 20 Andy is 7 years younger so the answer would be 13

28%

Step-by-step explanation:

How to calculate the percentage

From the information given, Johanna budgets $1,471 each month for fixed expenses his net 2,611 semi monthly.

The percentage will be;

= 1,471/(2,611 × 2) × 100

= 1,471/5222 × 100

= 28.1692837993

= 28%

[RevyBreeze]

Answer:

1) (x-4 , y+8)

2) (3,13)

3) (x,y) -> (-x,y)

4) (-7,5) This after reflection of original triangle

5) Yes, reflections don't change size, only position

Step-by-step explanation:

Answer: i put this here so you can mark the other person brainlest

Step-by-step explanation:

Answer:

In this case the slope of the line would be negative.

Explanation:

area  = length*width

area = (1/4)*(2/3)

area = (1*2)/(4*3)

area = 2/12

area = 1/6 of a square inch

This confirms that choice A is a correct set of dimensions to lead to an area of 1/6 of a square inch.

Choice B leads to (1/3)*(1/3) = 1/9 which means we can rule it out.

Choice C leads to 1/36 and choice D leads to 1/24.

Answer:

larger #=32

smaller #= 26

Step-by-step explanation:

We can solve this by using x for the larger number.

larger #= x

smaller #= x-6

x+x-6=58

2x-6=58

2x=64

x=32

The larger number is 32. To find the smaller # you simply substitute the variable x-6 which is now 32-6 which is 26.

Hope this helps!

Answer:

smaller number = 26

larger number = 32

Step-by-step explanation:

x = smaller number

y= larger number =x+6

so

x+y=58

x+6+x= 2x+6=x58

2x=58-6=52

x=522= 26

y=x+6=26+6 = 32

checking

x+y=58

26+32= 58

Answer:

B

Step-by-step explanation:

Answer:

[tex]\csc(\theta)[/tex]

Step-by-step explanation:

[tex]\cot(\theta)=\dfrac{1}{\tan(\theta)}=\dfrac{\cos(\theta)}{\sin(\theta)}[/tex]

[tex]\sin^2(\theta)+\cos^2(\theta)=1[/tex]

[tex]\implies \sin(\theta)+\cos(\theta)\times\cot(\theta)=\sin(\theta)+\cos(\theta)\times\dfrac{\cos(\theta)}{\sin(\theta)}[/tex]

[tex]=\sin(\theta)+\dfrac{\cos^2(\theta)}{\sin(\theta)}[/tex]

[tex]=\dfrac{\sin^2(\theta)}{\sin(\theta)}+\dfrac{\cos^2(\theta)}{\sin(\theta)}[/tex]

[tex]=\dfrac{\sin^2(\theta)+\cos^2(\theta)}{\sin(\theta)}[/tex]

[tex]=\dfrac{1}{\sin(\theta)}[/tex]

[tex]=\csc(\theta)[/tex]

Answer:

D

Step-by-step explanation:

if 15*5 is 75, than 75 is 5 times bigger than 15

The equation 15 × 5 = 75 represented the statement The number 75 is 5 times as many as 15, so option D is correct.

The equals sign is used in equations to indicate the equality of two expressions in a formula. It is a mathematical statement that says, "this is equivalent to that," in other words. There appears to be an equal sign in the middle, a mathematical expression on the right, and a mathematical expression on the left.

Given:

15 × 5 = 75

Assume the number is x = 5,

Here, you can see that x is 15 times to equal 75,

So, the above statement can be written as the number 75 is 5 times 15.

To know more about equation:

https://brainly.com/question/12788590

#SPJ2

Answer:

The area would be 32

Step-by-step explanation:

Let's call the side lengths a and b, so then therefore a + b =  12

after this, we know that the length of a is 4, from the distance formula, and so the length of b is 8, so the area is 4*8 which is 32

Answer:

the answer is 60

Step-by-step explanation:

first you need to round 5.7 to the nearest whole number

6

after that multiply by 10 and you've done it

60

Answer:

60% increase

Step-by-step explanation:

The formula for percent change: new value-old value and divide this by the old value. Then multiply by 100

So, 72-45=27

27/45=0.6

0.6*100=60

60%