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aksik [14]
4 years ago
10

Lou's gross annual income is $41 028. he is paid biweekly and has 4% deducted from his paychecks for his 401(k) . his employer m

athes his deduction up 3%
how much is deposited into lous 401(k) each payday

94.68
110.46
119.67
126.24​
Mathematics
1 answer:
nikklg [1K]4 years ago
3 0

Answer:

The correct option is;

$119.67

Step-by-step explanation:

Here we have

Annual income = $41028

Percent deducted = 4%

Contribution by the Employer = 3%

Therefore his annual contribution is $41028 × 0.04 = $1641.12

Annual contribution by the employer = $41028 × 0.03 = $1230.84

Total annual contribution = $2871.96

However, he is paid every two weeks, therefore, since there are approximately 2 weekly payments each month, we have 24 payments a year.

That is the amount of money deposited into Lou's 401(k) each payday is

$2871.96/24 = $119.665 ≈ $119.67.

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A lookout tower is 16 meters tall. Its shadow is 12 meters long. Close by, there is a wooden column that is 4 meters tall. How l
Lelechka [254]

Answer:

3 metres

Step-by-step explanation:

If we draw this out, we'll see that there are actually two similar right triangles (see attachment), which means that we can set up a proportion.

The height of the lookout tower corresponds to the height of the wooden column, while the shadow of the lookout tower corresponds to the shadow of the wooden column. We can then write:

(height of lookout tower) / (shadow of tower) = (height of column) / (shadow of column)

16 / 12 = 4 / x , where x is the shadow / unknown we want to find

Cross-multiply:

16x = 48

x = 3

The answer is thus 3 metres.

7 0
3 years ago
Can you please help me?
jekas [21]
1. is the third choice
2. is second choice
3. is fourth choice
8 0
3 years ago
Margie needs to know the square footage for the first floor of the condo her client wants to make an offer on. The kitchen is 10
irga5000 [103]

Answer:

D. 850 square foot

Step-by-step explanation:

Area of a space is the length

multiply by the width

The area for the kitchen, dining, office and sunroom will be calculated independently and added together.

Note the word "and the office and sunroom are each 10 feet by 10 feet"

Kitchen area = 10 ft x 15ft= 150sqft

Living/Dining area = 20ftx25ft= 500sqft

Sunroom = 10ftx10ft= 100sqft

Office= 10ftx10ft=100sqft

Therefore total surface area is the cumulative of the 4 areas

150sqft+500sqft+100sqft+100sqft= 850sqft

8 0
4 years ago
Read 2 more answers
If Sue worked 28 hours this week and made $172 in tips, how much did her weekly pay
sergejj [24]
Do 178 times 28 which equals 4,984 then you do 4,984 decided by 7 which equals 712 because there are 7 days a week. So the answer is 712.
6 0
3 years ago
Read 2 more answers
Math Help Don't Answer If Your Unsure of the answer please?<br> 2nd and 3rd pic is one question
vovangra [49]
If it si proportional
y/x=k or y=kx
if k is same throuout, then it is proportional
find their ratio
so
0/0=undefined, ignore
2/3=k
4/6=2/3=k
6/9=2/3=k
yes, proportional

y=kx
3=2k
1=2/3k
2/3 is answer



proprtional (2nd and 3rd)
graph is proprtional, first table is poroprtional
other ones are not
2nd picture is proportional, 3rd is not


(x,y), y is rise, x is run
unit rate is rise/run=15/6=5/2=2.5
unit rate is 2.5



unit rate is (1/2)/(2/5)=(1/2)(5/2)=5/4=1.25
unit rate is 1.25
7 0
3 years ago
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