Julian opened a college savings account. The amount of money in his account can be calculated using the function C(t) = 500(1.03)t, where t represents the time in years since the initial deposit. What does the value 500 represent in the function?

a
The amount of money in Julian's account after one year

b
The amount of interest Julian will earn each year

c
The amount of money for Julian's initial deposit

d
The maximum amount of money Julian can earn in his account

The amount that Heather earns if she works 46 hours in one week is; $563.5

Amount she earns per hour if she works for 40 hours a week = $11.5 per hour

If she works over 40 hours, her hourly pay is 1.5 times the previous rate.

Thus;

Amount she earned for 40 hours is;

11.5 × 40 = $460

Amount she earned for the 6 extra hours to make it 46 hours is;

1.5 × 11.5 × 6 = $103.5

Total amount she earned for the 46 hours = $460 + $103.5 = $563.5

Read more on proportion word problems at; https://brainly.com/question/160640

The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

let

x = first pillow

y = second pillow

fabrics needed for first pillow = 3 yards

fabrics needed for second pillow = 1 yards

z = Total square yards needed

The equation:

3x + y = z

Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

Learn more about equation:

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Answer:The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

let

x = first pillow

y = second pillow

fabrics needed for first pillow = 3 yards

fabrics needed for second pillow = 1 yards

z = Total square yards needed

The equation:

3x + y = z

Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

Step-by-step explanation:

Using a linear function, it is found that the slope of the problem is of $70.

A linear function for a cost is modeled by:

[tex]C(t) = C(0) + at[/tex]

in which:

Verizon charges a $100 initial contract fee, then $70 a month for a basic cell phone plan, then:

[tex]C(t) = 100 + 70t[/tex]

Then, the slope of the problem is of $70.

To learn more about linear functions, you can take a look at https://brainly.com/question/16302622

Answer:

So the answer would be 21 because the side is longer than 12 but not longer than 21

Answer:

2 more

Step-by-step explanation:

you can only get 1 of everything 2 times

this is - the outfit she already made

3 - 1 = 2   - 1 = 1

7 - 1 = 6   - 1 = 5

4 - 1 = 3   - 1 = 2

2 - 1 = 1    - 1 = 0

Answer: If it was the other way around I would have helped you  

Step-by-step explanation:

e.g.    

Step-by-step explanation:

similar means that (with all angles being the same) the side lengths of one triangle all correlate to the corresponding side lengths of the second triangle by the same factor.

and so, because AD = 2 is 1/3 of AB = 4+2 = 6, we need to apply the same factor 1/3 to x compared to 12.

12 × 1/3 = 4.

so, A is correct.

Answer:

Explain how to use the distributive property to find an expression that is equivalent to 20 + 16. First, I would find that the GCF of 20 and 16 is 4. Then, I would divide both 20 and 16 by 4. Last, I would use the distributive property to write the sum as 4(5 + 4).

Answer:

4

Step-by-step explanation:

Divide 6 3/4 by 1 1/2

Convert into improper fractions, 27/4 and 3/2

[tex]\frac{27}{4} / \frac{3}{2}[/tex]

[tex]\frac{27}{4} * \frac{2}{3}[/tex]

[tex]\frac{9}{2} = 4.5[/tex]

The question asks for the number of whole cakes, so the answer would be 4.

Answer : 4

Step - by - step explanation :

In - order to find out how many cakes Hannah can make we need to find out how many 1 1/2 cups of sugar she has . . .

what is 6 3/4 divided by 1 1/2 --> 6 3/4 divided by 1 2/4 ?  4 1/2

SO ! Hannah can make 4 complete cakes

Answer:

2,3,4

Step-by-step explanation:

Answers:

To reach the breakeven point, how many attendees will that take?     117  

What will be the company's total expenses and revenues?      $1755  for each  

=============================================================

Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

15x = 14x+117

15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) =  1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

Answer:

x = 17

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

Step-by-step explanation:

82 +9=5000 thank me later

Answer:

A line parallel to this one would have a slope of 3. where m is the slope and b is the y intercept. In this case, the equation y=3x+5 is already in slope intercept form, which means the slope is 3. Parellel lines have the same slope, so any other line with slope 3 is parallel to this line.

I think that's the answer

Answer: y = -3x - 3

Step-by-step explanation:

If you are looking for a line that is parallel, then it must have the same gradient

Therefore;

y= -3x +c

And because it passes through (0,3), substitute in the values to find c

3 = -3 x 0 + c

c = 3

So the equations would be y = -3x -3

Answer:

13N+26/9n-26/3

Step-by-step explanation:

Answer:

13N+26/9n-26/3

Step-by-step explanation:

Mark as brainliest

Answer:

38cm squared

Step-by-step explanation:

Answer:

Hi i think its option 3 maybe just wait until someone else helps but i say option 3 but gl anyways

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

No.

To find the rate for how many miles Greg drove for 5 hours, we need to divide 300 by 5:

300 / 5 = 60.

60 miles represents the speed for 1 hour.

60<70.

The inequality indicates that his rate (60 miles per hour) is less than the speed limit.

For a;

[tex]P(a | sd) = p(a AND sd)/P(sd) = 0.06/(0.89) = 0.674[/tex]

For b;

[tex]P(ds | a) = P(ds AND a)/P(a) = 0.06/0.09 =\frac{2}{3}[/tex]

If my calculations are incorrect, then sorry ;/

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Answer: C) Today's soup will taste the same

====================================================

Explanation:

The usual recipe has 9 tomatoes for every 12 bowls. This forms the ratio 9:12.

Divide both parts of the ratio by 12 to end up with 0.75:1

The ratio 0.75:1 means that there are 0.75 tomatoes for each bowl.

--------------

Then the restaurant updates the recipe to involve 6 tomatoes for every 8 bowls, leading to the ratio 6:8. Divide both parts by 8

The ratio 6:8 is the same as 0.75:1

---------------

We get the same ratio (0.75:1) each time we turn that second number into a 1, which means that each bowl involves the same number of tomatoes. Therefore, the taste should be the same.

Of course the concept of taste is subjective, meaning that the taste could easily vary over time even if you involved the same number of tomatoes. Also, the taste may vary from person to person. However, there should be an objective way to measure the "tomato"ness of each bowl.

Answer:

18/5

Step-by-step explanation:

simple division mm m m k l k obkbono

Answer:

39/10

Step-by-step explanation:

I promise you correct answer ur welcome

Answer:

y=(5/6)x

Step-by-step explanation:

its how much it rises over how much it runs. so it goes up 5 and to the right 6

Answer:

Step-by-step explanation:

The y intercept is 0. The point that holds the y intercept is (0,0)

The slope is

m = y / x

y = 10

x = 12

m = 10/12

m = 5/6

The equation is y = 5/6 x which looks like D

Answer:

21

Step-by-step explanation:

1/5 x 21 = 21/5

Answer:

i think x = -7, y = -6

Step-by-step explanation:

good luck

Answer:

  $39,227.50

Step-by-step explanation:

Vika's income will be ...

  $35,500 + 10.5%×35,500 = $35,500(1 +0.105) = $39,227.50

Vika's adjusted income is $39,227.50.

Answer:

[tex]7x(4x-1)[/tex]

Step-by-step explanation:

First, find the largest integer that divides evenly into both numbers. In this case, 28 and 7 are both divisible by 7.

Next, find the highest degree of the variable that divides evenly into both. Here, that's just x. I'll show another example of that below.

Multiply those together, and you get 7x. That is what we need to factor out. Divide by that factor while multiplying by that factor at the same time to keep the value of the expression equal:

[tex]28x^2-7x\\\\7x(\frac{28x^2}{7x}-\frac{7x}{7x})\\\\7x(4x-1)[/tex]

Another example of what I said above would be this:

Take 4x + 2. The largest integer that divides these is 2, and the highest degree of x that divides them is 0. That is an x⁰, and that is equal to 1. Multiply those, and you just get 2.

[tex]4x+2\\\\2(\frac{4x}{2}+\frac{2}{2})\\\\2(2x+1)[/tex]