Simplify the radical expression. square root of 128

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

Can someone help me plz

FrozenT [24]

Answer:

I cant see it?

Step-by-step explanation:

3 0

2 years ago

PLZ HELP! WILL GIVE BRAINLIEST!

nalin [4]

Answer:

About 2105.98

Step-by-step explanation:

31% of 3354 is 1039.74

3354-1039.74=2314.26

9% of 2314.26 is 208.2834

2314.26-2018.2834=2105.9766

4 0

2 years ago

Read 2 more answers

A plumber pays $3.60 for 60 centimeters of pipe.Explain how the plumber can use unit cost of the pipe to find the cost of buying

kvv77 [185]

3.60 / 60cm = .06/cm or 6 cents per centimeter
100cm = 1m
$.06 * 100cm = $6.00 / m
100m = 100 * $6.00
= $600

5 0

2 years ago

Read 2 more answers

Find the area of the figure. Round to the nearest tenth if necessary.

baherus [9]

Hello!

First of all, let's find the triangle. As we can see, it is eight units long and four units tall. We can use the triangle formula and half the product.

4(8)=32

32/2=16

Now we need to find the area of the semicircle. We can use circle formulas and half our final answer. We will find the area using A= $\pi$ r².

We know that the diameter of this circle is eight. Therefore our radius is 4.

A= $4\pi$ ²

A= $16\pi$

Now we multiply.

16 $\pi$ ≈50.27

Now we add our triangle.

50.27+16=66.27

The nearest answer to this is B)66.2. It may have been a bit over as we used $\pi$ , not 3.14.

I hope this helps!

3 0

3 years ago