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Katyanochek1 [597]
1 year ago
15

Jaime’s employer contributes to the employees’ 401(k) plans as part of a benefit package. The company will match up to 4% of an

employee’s salary. Suppose Jaime’s salary is $54,000 per year, and they allow him to make contributions to his 401(k) to a maximum of 12% of his salary. The minimum amount that Jaime should contribute each month to maximize his employer’s contributions is % of his salary, or $ a month.
Mathematics
1 answer:
swat321 year ago
7 0

Answer:

Step-by-step explanation:

If the employer matches up to 4% of Jaime's salary,

first thing is to find what that percentage adds up to;

Jaime's total salary = $54,000

4% of the total = 0.04*54,000 = $2,160 per year

If the employer matches a dollar for dollar, Jamie will have an additional $2,160 from his employer's contribution in 1 year

Next,

Find Jamie's contribution per month; 2,160/12 = $180

Therefore, to maximize his employer's contribution, he needs to contribute $180 per month

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A large restaurant is being sued for age discrimination because 15% of newly hired candidates are between the ages of 30 years a
Fudgin [204]

Answer:

See explanation below.

Step-by-step explanation:

Let's take P as the proportion of new candidates between 30 years and 50 years

A) The null and alternative hypotheses:

H0 : p = 0.5

H1: p < 0.5

b) Type I error, is an error whereby the null hypothesis, H0 is rejected although it is true. Here, the type I error will be to conclude that there was age discrimination in the hiring process, whereas it was fair and random.

ie, H0: p = 0.5, then H0 is rejected.

7 0
2 years ago
A regular polygon has 15 sides. Which is a possible angle of rotational symmetry for the figure? 12° 45° 72° 90°
iren2701 [21]

Answer:

Option (3). 72°

Step-by-step explanation:

Angle of rotational symmetry = Central angle of a polygon

That means when we rotate the regular polygon by a central angle, polygon overlaps itself.

Central angle of a polygon with n sides = \frac{360}{n}

Where n = number of sides of the polygon

Therefore, central angle of a polygon with 15 sides = \frac{360}{15}

                                                                                     = 24°

Central angle tells us that after every 24° of rotation, polygon overlaps itself.

Angle of rotational symmetry may be 48°, 72°, 96°.....

Therefore, Option (3) is the possible angle of rotational symmetry.

7 0
1 year ago
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Rewrite the equation in vertex form. y = x2 - 6x + 18
7nadin3 [17]
The answer is <span>y= (x-3)^2 + 9

I hope this helps</span>
4 0
1 year ago
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jessica is making bracelets for her friends. 1/4 of the beads are pink. if the greatest number of beads are 12 what other fracti
Rudiy27
The answer is 3
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4 0
2 years ago
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In a film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. He wittily
yanalaym [24]

Answer:the uncle is 54 years old.

The woman is 18 years old

Step-by-step explanation:

Let x represent the age of the uncle.

Let y represent the age of the woman that he married.

In the film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. This means that

x = 3y

He wittily replies, "Ah, but in 18 years time I shall only be twice her age. It means that

x + 18 = 2(y + 18)

x + 18 = 2y + 36 - - - - - - - - - - 1

Substituting x = 3y into equation 1, it becomes

3y + 18 = 2y + 36

3y - 2y = 36 - 18

y = 18

x = 3y = 3 × 18

x = 54

6 0
1 year ago
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