# Catherine's employer matches 25% of her 401(k) contributions — up to $2000. Catherine's salary is$50,000, and last year she contributed $10,000 to her 401(k) plan. What was her employer's contribution to the 401(k)? ## Answers Answer 1 Answer: We have been given that Catherine's employer matches 25% of her 401(k) contributions or a maximum of$2000. Further we are given that Catherine's salary is $50,000 and she contributed$10,000 to her 401(k) plan.

Let the contribution form her employer be $x. We are given that her employer matches 25% of Catherine's contribution under 401(k) plan. Therefore, contribution made by employer would be either 25% of 10,000 or 2000, whichever is lesser. Let us find 25% of 10,000. Since 25% of 10,000 is more than 2000, therefore, Catherine's employer would make a contribution of$2000.

Answer: 25% of $10,000 is$2,500

But because they only match "up to $2,000," her employers contribution was$2,000

## Related Questions

On two investments totaling $6,000, Kevin lost 3% on one and earned 6% on the other. If his net annual receipts were$288, how much was each investment?

$800 was invested in the account at 3%$5200 was invested in the account at 6%

STEP-BY-STEP EXPLANATION:

We can establish the following system of equations thanks to the help of the statement:

Let x represent the amount invested in the investment that lost value

Let y represent the amount invested in the investment that gained

value.

We replace equation (1) in (2) and solve for x:

Therefore, $800 was invested in the account the lost value, and$ 5200 was invested in the account that gained value.

If the probability that a bird will lay an egg is 75%, the probability that the egg will hatch is 50%, and the probability that the chick will be eaten by a snake before it fledges is 20%, what is the probability that a parent will have progeny that survive to adulthood?(A) 30%
(B) 14.5%
(C) 7.5%
(D) 2%

Step-by-step explanation:

Given : The probability that a bird will lay an egg =0.75

The probability that the egg will hatch  =0.50

Now, the probability that the egg will lay an egg and hatch =

Also,The probability that the chick will be eaten by a snake before it fledges =0.20

Then, the probability that the chick will not  be eaten by a snake before it fledges : 1-0.20=0.80

Now, the probability that a parent will have progeny that survive to adulthood will be :-

Hence, the probability that a parent will have progeny that survive to adulthood =  30%

The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with t tickets sold.$800 =$16t

What is the unit rate in the equation above?
A.
$784 per raffle ticket B.$16 per raffle ticket
C.
$50 per raffle ticket D.$800 per raffle ticket

C. $50 per raffle ticket A Jewelry store makes necklaces and bracelets from gold and platinum. vThe store has 18 ounces of gold and 20 ounces of platinum. vEach necklace requires 3 ounces of gold and 2 ounces of platinum, whereas each bracelet requires 2 ounces of gold and 4 ounces of platinum. vThe demand for bracelets is no more than four. vA necklace earns$300 in profit and a bracelet $400. vThe store wants to determine the number of necklaces and bracelets to produce in order to maximize profit.a. Formulate a linear programming model for this problem.b. Solve this model using graphical analysis. ### Answers Answer: maximum profit is$2400 when 4 necklace and 3 brackets are made.

Step-by-step explanation:

Total gold = 18 ounces

Total platinum = 20 ounces.

let X₁ represents the necklace and X₂ represents the bracelets.

### A. Linear Programming Model

maximize:

with constraints:

for gold:

---(1)

for platinum:

---(2)

The demand for bracelets is no more than four i.e.

---(3)

### B. Graphical Analysis

To maximize profit, formulate a linear programming model with constraints for the number of necklaces and bracelets to produce. Solve the model using graphical analysis to find the optimal solution.

### Explanation:

To formulate a linear programming model for this problem, let x be the number of necklaces to produce and y be the number of bracelets to produce. The objective is to maximize profit, which can be expressed as: Profit = 300x + 400y. The constraints are: 3x + 2y ≤ 18 (gold constraint), 2x + 4y ≤ 20 (platinum constraint), 0 ≤ x ≤ infinity (non-negativity constraint), and y ≤ 4 (demand constraint).

To solve this model using graphical analysis, graph the feasible region determined by the constraints. The feasible region is the region in which all constraints are satisfied. The optimal solution will be at one of the corner points of the feasible region. Calculate the objective function at each corner point and select the one that maximizes profit.

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A veterinarian needs to know an animal’s weight in kilograms when treating them. If 20 pounds is about 9 kilograms and a dog weighs 30 pounds determine the dog’s weight in kilograms.

1 kilo is approximately 2.2 pounds, so we can divide 30 by 2.2

14 over 15 rounded to the nearest tenth

0.9

Step-by-step explanation:

14/15 = 0.933333333  IF:

1. You first change it into a decimal by dividing the numerator by the denominator.

14 ÷ 15

2.You will get a recurring decimal.

0.933333333

3. The first digit after the decimal is in the position of the 'tenths'

0.9

4. You should use only two digits after the decimal to calculate

0.93

5. Since the number 3 is less than five, it will change into a zero and get eliminated.

∴ The answer will be = 0.9