Mathematics High School

Sven participates in his employer’s 401k plan. His annual salary is $52,000. Sven contributes 7.5% of his annual salary. His employer matches his contributions up to 5% of his salary. How much money will be contributed to Sven’s plan for one year?

Answers

Answer 1

Answer:

$ 6,500

Step-by-step explanation:

(52,000)(0.075)+(52,000)(0.05) = 3,900 + 2,600

= 6,500

Related Questions

In a batch of 8000 clock radios 5% are defective. A sample of 13 clock radios is randomly selected without replacement from the 8,000 and tested. The entire batch will be rejected if at least one of those tested is defective. What is the probability that the entire batch will be rejected

Answers

Answer:

Step-by-step explanation:

P(A)=1−P(not A)

We can use this here. Event A is that the clock is defective, so Event (not A) means the clock works.

0.02=1−P(not A)

P(not A)=0.98

Therefore, for all the clocks to pass, the probability is P(not A)11.

Now again, we can use complementary counting.

(probability of all clocks failing) = 1 - (probability of all clocks passing)

Probability of all clocks failing = 1−P(not A)11

m_ABC=M_ABD
what is the reason?

Answers

The reason in this case is :

Answer:

M=m and cis equivalent to d

4 b a 1. Joseph plans to give a bag of candy to each of the 22 students in his class. Each bag of candy will cost $2.87 after tax. Which expression gives the best estimate for the total cost of the bags of candy? A. $2 x 20 B. $2 x 30 C. $3 x 20 D. $3 x 30

Answers

Answer:

Step-by-step explanation:

Graph y= –3x+4.

i need a pic
5o points and brain thing

Answers

Refer to the attachment

hhhhhhhhhhheeeeeeeeeeeelllllllllllllpppppppppp

Answers

Answer:

angle 4 is the alternate angle

Answer: (A) angle 1

Step-by-step explanation:

pls help ASAPPPP11!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

It's between 0 and 1

Step-by-step explanation:

1/64 = 0.015625

help pls?? answer for me??f

Answers

ANSWER

C PO SANA MAKATULONG PO YAN

Use the GCF and the Distributive Property to find the sum.
42+66
Write each number as a product using the GCF as a factor, and apply the Distributive Property.
42+66=??

Answers

Answer:

40 plus (2)42 plus 6x11

Step-by-step explanation:

Multiply

Mr. Brookins asked his students to plot an integer on a number line. Which two students could have represented the same number?

Makayla
A number line going from negative 10 to 0. A point is at negative 7.
Aaron
A number line going from negative 18 to positive 6. A point is at negative 5.

Serena
A number line going from negative 20 to positive 12. A point is at negative 5.

Dontae
A number line going from negative 8 to 0. A point is at negative 6.

Serena and Dontae
Makayla and Aaron
Serena and Aaron
Makayla and Dontae
Mark this and return

Answers

Answer:

Serena and Aaron.

Step-by-step explanation:

Answer:

Serena and Aaron.

Step-by-step explanation:

what is the slope of the line that passes through the points (-3,1) and (7,14)

Answers

The slope is 1.3. The whole equation is y=1.3x+4.9

Problem 2) write an equation for the following situation.
Jacob raises goats. He spends $75 to set up his goat pen. He has to spend $12 per day to feed
his goats.

Answers

Answer:

75 + 12d

Step-by-step explanation:

he pays $75 dollars up front. he then pays a rate of $12 per day

12X + 75 = Goat cost in all.
Reason: x is your days, 12 is cost per days, +75 is what he spent setting up his goat pen!

40 POINTS!
Please answer for
m∠1 AND m∠2

Answer choices for m∠1:
50, 110, 70, 90
Answer choices for m∠2:
70, 110, 40, 140

Answers

Answer:

70°, 140°, 50°

Step-by-step explanation:

110° and the angle inside the triangle are adjacent angles and sum to 180°, so

angle inside triangle = 180° - 110° = 70°

The triangle on the left is isosceles ( 2 congruent sides ) then base angles are congruent

∠ 1 = angle inside triangle = 70°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ 2 is an exterior angle of the triangle on the left, so

∠ 2 = 70° + 70° = 140°

∠ 2 is also an exterior angle of the triangle on the right, so

∠ 3 + 90° = 140° ( subtract 90° from both sides )

∠ 3 = 50°

For brainily please help

Answers

Answer:

Yes

Step-by-step explanation:

2)
Where is the opposite of -10 located on a number line?
ght
X
A)
to the left of o
he
ning
1.28
Cools
B)
to the right of 0
C)
to the right of 12
D
to the left of -10?

Answers

Answer:

Step-by-step explanation:

the opposite of -10 is 10

10 being bigger than 0 would therefore be to the right of 0

Answer:

Step-by-step explanation:

The opposite is positive 10. Negative 10 is the left to 0 and positive is always to the right of 0. Hope that helps <3

5x+6=61 Show Step By Step

Answers

5x =61-6
5x= 55
X = 55/5
X = 11

Answer:

x=11

Step-by-step explanation:

5x+6=61

61-6=5x

55=5x

x=11

4 times 14 5/6 to the nearest whole number

Answers

Answer:

356

Step-by-step explanation:

4 x (14 5/6) =

4 x (14 x 6) + 5

4 x 89 = 356

A poll was taken to determine which candidate students were voting for in an upcoming class president election. Of the students who participated in the poll, 40% voted for Iverson and 50% voted for Vicky. There were 30 votes for Vicky.

There were
(blank) people who participated in the poll.

Answers

Answer:

Step-by-step explanation:

the way to find how many participanted in the class voted, you need to look at the percentages and the number of students that voted for Vicky.

50% of students voted for Vicky and the question later explained that the total of the 50% was 30 students. This mean we know half of the student that participated. To find the total amount of students to make 100%, you need to multiple 30 by 2. which is 60.

Now that we know there were 60 students in total, we can find how many participated by using Iverson's percentage.

this is the formula that can help with any percentage math problem:

The percentage of something ÷ 100% = the number you are looking for ÷ the total

in our case:

40÷100 = x (because it is the unknown term)÷60

from here you cross multiple getting

2400÷100x

which equals

now we have to add Vicky's and Iverson's voter

24 + 30= 54

60-54=6

6 students did not participate

((((40 - -30) x (20 +15 - -2))+14)/2)-40

100 points pls help

Answers

Step-by-step explanation:

1262 enjoy brainliest appreciated

Given: 3jk 2 + =15 4k− Prove: j = 10 – 3k

Answers

Answer:

j=10-3k

Step-by-step explanation:

here you go...i hope it's correct

If the equation is (3j+k)/2=15-4k then j=10-3k

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is (3j+k)/2=15-4k

We need to prove j=10-3k

(3j+k)/2=15-4k

Apply cross multiplication and solve for k

3j+k=2(15-4k)

3j+k=30-8k

Subtract k from both sides

3j=30-9k

Divide both sides by 3

j=10-3k

Hence, if the equation is (3j+k)/2=15-4k then j=10-3k

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ5

A car travels 22 km due south and then 28 km in a direction 60° east of south. Find the Direction of the car's resultant vector. PLEASE HELP

Answers

A car travels 22 km due south and then 28 km in a direction 60° east of south. Find the Direction of the car's resultant Remember that any can be written as a coordinate like this: (AcosΘ,AsinΘ) where A is the magnitude of the object and Θ is the directional angle. So for the car travelling 20km north, that vector can be written as: (20cos90°, 20sin90°) Then when the car drives northwest at 60 degrees, that vector can be written as: (35cos150°, 35sin150°) (do you see why I it's 150°?) Then, simply calculate each of these coordinates, add them up, and then that resulting coordinate is the coordinate of the resulting displacement vector. (20cos90°, 20sin90°) = (0, 20) (35cos150°, 35sin150°) = (-30.31, 17.50) Displacement vector (x, y) = (-30.31, 37.50) With this, we can calculate the magnitude which is \displaystyle \sqrt{x^2+y^2} x 2 +y 2 . Thus: Magnitude = \displaystyle \sqrt{(-30.31)^2+(37.50)^2}=48.2km (−30.31) 2 +(37.50) 2 =48.2km The resulting directional angle is then \displaystyle \tan^{-1}(\frac{y}{x})+\pitan −1 ( x y )+π. Adding \displaystyle \piπ is only necessary when x < 0 in order to put us in the proper quadrant. Thus: Direction = \displaystyle \tan^{-1}(\frac{37.50}{-30.31})+\pi=2.25\ radians=128.9°tan −1 ( −30.31 37.50 )+π=2.25 radians=128.9° ges ok HOPE THIS HELPS :):0

Please help me, write the step by step explanation plz?

Answers

Answer:

i think the answer is 171,500 i don't know i am trying.

Step-by-step explanation:

first you multiply 35 times 3 you will get 85,750 then you multiply 10 times 2 you will 20 and multiply both of them and you will get 171,500.

discrete or continuous

Answers

i think the answer is contionous

Which number has the greater value, 7*10^-9 or 6*10^-4

Answers

Answer:

6*10^-4 has a greater value.

Step-by-step explanation:

7*10^-9= 0.000000007

6*10^-4= 0.0006

so i am struggling e

Answers

Answer:

Step-by-step explanation:

[tex]perimeter = 2(length + breadth) \\ breadth = (perimeter \div 2) - length[/tex]

[tex]72 \div 2 = 36 \\ 36 - 19 = 17[/tex]

Answer:

y is 17 mm

Step-by-step explanation:

perimeter formula is p= 2l +2w

19 is width

19+19 = 38

72-38=34

34/2= 17

17 is length

I hope it is right:)

In 20112, it rained 1.651 x 103 centimeters in New Orleans. In 2012 it rained another 8.2 x 102 centimeters. How many centimeters of rain did New Orleans experience in 2012?

Answers

Answer:

1,006.453 cm

Step-by-step explanation:

1.651 × 103 = 170.053

8.2 × 102 = 836.400

170.053 + 836.4 = 1006.453 cm

What is the answer for this question:12+2c+6d-8c+d

Answers

Answer:

12+10c+7d

Step-by-step explanation:

There is no possible way to really describe the value of the variables, so I simplified it.

Write an equation of the line with a slope of -\frac{2}{7} and a y-intercept of 5.

Answers

Answer:

y=3/4x-7

Step-by-step explanation:

I used the y intercept (0,-7) as a point to plug into point slope form.

y+7=3/4(x-0)

esrimate the value of the following to the nearest whole number
1)
[tex] \sqrt{97} [/tex]
2)
[tex] \sqrt{780} [/tex]
3)
[tex] \sqrt{5436} [/tex]
4)
[tex] \sqrt{4000} [/tex]

Answers

Answer:

Step-by-step explanation:

PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS

Answers

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the sides of the figures

(1)

The figure has 5 congruent sides , then perimeter P

P = 5 ([tex]\frac{2}{5}[/tex] x + 1) ← multiply each term in the parenthesis by 5

= 2x + 5

(2)

There are 4 congruent sides of ([tex]\frac{5}{2}[/tex] x - y) and 8 of y , then

P = 4([tex]\frac{5}{2}[/tex] x - y) + 8y ← distribute parenthesis by 4

= 10x - 4y + 8y ← collect like terms

= 10x + 4y

(3)

P = 2([tex]\frac{2a-b}{2}[/tex] ) + 2([tex]\frac{3b}{2}[/tex] ) + 2a ← distribute parenthesis

= 2a - b + 3b + 2a ← collect like terms

= 4a + 2b

Please help I will make you Brainliest (show working)

Answers

Answer:

id kkkkkkkkk

Step-by-step explanation:

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