37. A birthday gift is placed inside the box shown.

Sterre charges $ 3 5 $35dollar sign, 35 to file tax returns, but files for free if she only needs the easiest form. Then she don

blagie [28]

Given:

$35 is charged per form, but $0 if only the easiest form is filed.
$2 donated for every single tax return filed (since it is not explicitly mentioned otherwise, I will assume she donates $2 whether she charges $35 or does it for free)
Total amount charged for the full year = $7245
Total amount donated for the full year = $1242

To Find: The number of forms for which Sterre charged $35 and the number of forms Sterre did it for free.

Concept:

We can make use of the Unitary Method here. Given the number of units in a group, the Unitary Method can be used to find the value of a single unit or and individual unit when we are given the value for a group.

So,

Value of Single Unit = Value of Entire Group of Units ÷ Number of Units in the Group

Explanation & Calculation:

We are given that Sterre charged $7245 for the full year. Taking each Unit as the $35 type of form, and value of each Unit would be the amount that Sterre charges per form which is obviously $35, we can find the number of $35 forms using the expression written above.

So, putting in the values into the expression,

$35 = $7245 ÷ number of $35 forms

Therefore, number of $35 forms = $7245 ÷ $35

Using simple division, number of $35 forms = 207

Next, we are given Sterre donated $1242 in the full year and she donates $2 for every form (whether it is the $35 form or the free form).

If this time, we define each Unit as being each form (both $35 form and free form), value of each unit we define as the $2 donation money, we see that the value of the full group of units is $1242.

So, putting the values into the expression,

$2 = $1242 ÷ total number of forms

Therefore, total number of forms = $1242 ÷ $2

Using simple division, total number of forms = 621

Conclusion:

Sterre has filed a total of 621 tax returns (both charged and for free).

Of these 621 returns filed, for 207 forms, Sterre charged $35.

The number of returns Sterre filed for free (that is, the easiest forms) is

Total number of forms - Chargeable forms = 621 - 207 = 414

Thus, Sterre filed 414 tax returns for free.

8 0

3 years ago

Which of the following expressions describes the solution to -2x < -10

larisa [96]

The answer would be ×>5 because when u divide by a negative the sign will switch.

7 0

3 years ago

Mai invested $7000 in a money-market fund that paid 6.2% simple interest . What was the value of her account at the end of 18 mo

boyakko [2]

Depends it could be 14812 if they want total value or just the interest would be 7812

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3 years ago

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What is the equation of the line in slope-intercept form that is perpendicular to the line y = x – 2 and passes through the poin

Ostrovityanka [42]

Y= 3/4x - 2 (-2,10)= (x1,y1)
The slope is -4/3 of the perpendicular line:
Then:
y-y1=m(x-x1)
y-10=(-4/3)(x+2)
y=-(4/3)x -8/3 +10
y= -(4/3)x +22/3 (That's the answer)

5 0

3 years ago

You have 16 socks in your drawer. 4 are black, 6 are white, 4 are blue, and 2 are gray. Suppose you randomly choose a sock, repl

Alinara [238K]

Answer:

11/32

Step-by-step explanation:

4/16 + 2/16 - 1/32

simplify and solve

4 0

2 years ago