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Cerrena [4.2K]
3 years ago
8

A personal trainer makes $25,000 per year and has just begun contributing 6% of his salary to his 401(k) plan. If his employer m

atches 9% of his contributions, how much will have been contributed to the 401(k) plan after 4 years?
Mathematics
1 answer:
adell [148]3 years ago
8 0
6% of $25,000 is $1,500 a year
9% of $1,500 is $135 that his employer gives him
The total of that is $1,635 a year
$1,635*4=$6,540 total after 4 years
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At a local prechool there i a ratio of 3 boy to every 4 girl. If there are 245 total prechooler how many are boy
Georgia [21]

If there are 245 total preschoolers, there will be 105 boys.

  • What is unitary method?
  • The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.
  • Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.
  • Recognizing the units and values is crucial when using the unitary technique to a problem.
  • Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.

acc to our question-

  • Fraction of boys = 3/7
  • Fraction of girls = 4/7
  • Total number of students = 245
  • The number of boys will be:
  • = 3/7 × 245.
  • = 105 boys

Therefore, there are 105 boys in the school.

learn more about unitary method click here:

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3 0
1 year ago
A theater has a discount pass that cost nine dollars with the past admission is $6.50 per movie. mike tyrell and juanita all bou
tia_tia [17]

Answer:

They saw <u>24</u> movies.

Step-by-step explanation:

The question is incomplete so the complete question is below:

A theater has a discount pass that cost nine dollars with the pass, admission is $6.50 per movie. Mike, Tyrell and Juanita all bought a pass and went to see movies together they spent a total of $183. Write and solve an equation to find out how many movies they saw.

Now, to find the number of movies they saw.

Let the number of movies they saw be x.

Discount pass = $9.

With the pass admission per movie is $6.50.

Total number of people = 3.

Total money spent = $183.

So, to get the number of movies they saw we write an equation:

3(9)+6.50(x)=183

Now, to solve the equation:

3(9)+6.50(x)=183

27+6.50x=183

<em>Subtracting on both sides by 27 we get:</em>

6.50x=156

<em>Dividing both sides by 6.50 we get:</em>

x=24.

Therefore, they saw 24 movies.

4 0
3 years ago
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SVETLANKA909090 [29]

Count the number of cubes shaded so the 7x11 is 77 square units

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7 0
3 years ago
Weights of different sandwiches in two lengths are shown in the table.
Alexandra [31]

Answer:

Egg salad sandwich is proportional to its length

Step-by-step explanation:

Weight of Sandwiches by Length of Roll

                                        6-inch Roll      12-Inch Roll

Cheese sandwich               \frac{1}{4}                      \frac{3}{4}

Chicken salad sandwich     \frac{3}{4}                     1\frac{3}{4}

Egg salad sandwich            \frac{2}{3}                   1\frac{1}{3}

For cheese sandwich proportion

\frac{6}{\frac{1}{4}}=\frac{12}{\frac{3}{4}}\\24 \neq 16

So, Cheese sandwich weight is not proportional to its length

For Chicken salad sandwich proportion

\frac{6}{\frac{3}{4}}=\frac{12}{\frac{7}{4}}\\8 \neq \frac{48}{7}

So, chicken salad sandwich is not proportional to its length

For Egg salad sandwich  proportion

\frac{6}{\frac{2}{3}}=\frac{12}{\frac{4}{3}}\\9=9

So, egg salad sandwich is proportional to its length

6 0
3 years ago
The weight of a bull clad is 388 kilograms. If it’s weight increases at a rate of 1 2/5 kilograms per day how long it will take
Alex73 [517]

Answer:

It will take  <u><em>80 days</em></u>  for the bull calf to reach a weight of 500 kilograms.

Step-by-step explanation:

Given:

The weight of a bull calf is 388 kilograms.

Now, to find the weight of bull calf of how long it will take to reach a weight of 500 kilograms, if it’s weight increases at a rate of 1 2/5 kilograms per day.

Required weight which to be increased = 500 - 388 = 112 kilograms.

Rate of weight increase = 1\frac{2}{5}=\frac{7}{5}

                                        = 1.4\ kilograms.

Thus, the time required = \frac{required\ weight}{rate\ of\ weight}

                                        = \frac{112}{1.4}

                                        = 80.

<em>The time required   =    80 days</em>.

Therefore, it will take 80 days for the bull calf to reach a weight of 500 kilograms.

5 0
3 years ago
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