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Stels [109]
3 years ago
5

1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0 What does a equal?

Mathematics
1 answer:
frez [133]3 years ago
4 0

Answer:

a = -50/51

Step-by-step explanation:

1 + 2a + 3 + 4a + 5 + 6a + ...... + 97 + 98a + 99 + 100a = 0

  1 +   3 +   5 + ...  + 99 +   2a +    4a + ... + 98a + 100a = 0     Eq. 1

99 + 97 + 95 + ... +    1  + 98a + 96a + ... +   4a  +    2a  = 0    Eq. 2

Add Eq. 1 and Eq. 2

100 + 100 + ... + 100 + 102a + 102a + ... 102a = 0

50(100)/2 + 50(102a)/2 = 0

2500 + 2550a = 0

2550a = -2500

a = -2500/2550

a = -250/255

a = -50/51

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Karen, 28 years old and a single taxpayer, has a salary of $33,000 and rental income of $33,000 for the 2019 calendar tax year.
mart [117]

Answer:

$4,800

Step-by-step explanation:

The maximum contribution for traditional IRA in 2019 = $6000

Given that;

karen has a salary of $33,000 and rental income of $33,000; then total income = $66,000

AGI phase-out range for traditional IRA contributions for a single taxpayer who is an active plan participant is $64,000 – $74,000.

PhaseOut can be calculated as: \frac{66,000-64000}{74,000-64,000} *6000

= \frac{2000}{10000} *6000

= 0.2 * 6000

= 1200

Therefore, the  maximum amount that Karen may deduct for contributions to her traditional IRA for 2019 = The maximum contribution for traditional IRA in 2019 - PhaseOut

= $6000 - $1,200

= $4,800

3 0
3 years ago
Solve for g gg. Give an exact answer. 10 ( 0.4 + 0.5 g ) = 4 g 10(0.4+0.5g)=4g10, left parenthesis, 0, point, 4, plus, 0, point,
kirill115 [55]

Answer:

the value of g is -4

Step-by-step explanation:

10 ( 0.4 + 0.5 g ) = 4 g

Our aim is to solve for g

multiply 10 inside the parenthesis

4+5g = 4g

Now combine like terms

Subtract 5g from both sides

4+5g-5g= 4g-5g

4=-g

Divide both sides by -1

g=-4

5 0
3 years ago
0.249 in expanded form
nikklg [1K]
2.49×10^-1 is the answer
8 0
3 years ago
As a salesperson, you are paid $92 per week plus $4 per sale. This week you want your pay to be at least $200. Write an inequali
BARSIC [14]
The answer is D

You need to make at least $200 so that is greater then or = to. You subtract 92 from 200 which gives you 108. From there you take 108/4 which is 27

5 0
3 years ago
The table shows a simulation to predict how many cars will arrive at a car wash. Each event represents how many cars arrive duri
Svetradugi [14.3K]

Answer:

The number of cars passing or the people arriving during lunch hour will be around 220

Step-by-step explanation:

First we find the for ten minutes period from given data:

Average Cars in 10 minutes = (18+38+87+16+56+5)/6

Average Cars minutes = 36.67

Now, for average cars in 1 hr, we must multiply this value by 6. As, 10 minutes multiplied by 6 equals 1 hr.

Average cars in an hour = 36.67*6

<u>Average Cars in an hour = 220</u>

Hence, the number of cars or people arriving during lunch hour will also be equal to average number of cars arriving during an hour.

4 0
3 years ago
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