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3 years ago

If the sum of the daily unpaid balances is $7,812 over a 31-day billing cycle, what is the average daily balance?

Mathematics

1 answer:

luda_lava [24]3 years ago

4 0

Answer:

252

Step-by-step explanation:

Divide 7812 by 31 and we get the average daily answer... Hope this helps!!

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What is 2/8+1/6 in the simplest form.

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find the width of radius r if the width w of the shaded region is 2cm and its area is 176cm^2, use 22/7 for pi (its a full circl

arsen [322]

The area of a shape is the amount of space it can occupy.

<em>The value of r is 13</em>

From the question (see attachment), we have:

$\mathbf{A =176}$ --- area of the shaded region

$\mathbf{w = 2}$ --- the width of the shaded region

The area of the complete circle would be:

$\mathbf{A_1 =\pi (r + w)^2}$

The area of the small circle is:

$\mathbf{A_2 =\pi r^2}$

So, the area of the shaded region is:

$\mathbf{A = A_1 - A_2}$

Substitute known values

$\mathbf{176 =\pi (r + w)^2 - \pi r^2 }$

Substitute 2 for w

$\mathbf{176 =\pi (r + 2)^2 - \pi r^2 }$

Expand

$\mathbf{176 =\pi (r^2 + 4r + 4) - \pi r^2 }$

Open brackets

$\mathbf{176 =\pi r^2 + 4\pi r + 4\pi - \pi r^2 }$

Cancel out line terms

$\mathbf{176 =4\pi r + 4\pi }$

Divide through by 4

$\mathbf{44 =\pi r + \pi }$

Factor out pi

$\mathbf{44 =\pi(r+ 1) }$

Divide through by pi

$\mathbf{r + 1= \frac{44}{ \pi} }$

Substitute 22/7 for pi

$\mathbf{r + 1= \frac{44}{ 22/7} }$

Using a calculator, we have

$\mathbf{r + 1= 14}$

Solve for r

$\mathbf{r= 14 -1}$

$\mathbf{r= 13}$

Hence, the value of r is 13

Read more about areas of circles at:

brainly.com/question/23328170

6 0

2 years ago

X and Y are in partnership with capital contributions of $50000 and $30000 respectively.

Tamiku [17]

Answer:

The correct answer is B. $13,875.

Step-by-step explanation:

Since X and Y are in partnership with capital contributions of $ 50000 and $ 30000 respectively, and the partnership agreement provides that profits are to be shared in proportion to capital contributions and each partner is entitled to 10% interest on capital, and profit for the year was $ 37000, to determine what was the total amount credited to Y’s current account at the end of the year the following calculation must be performed:

50,000 + 30,000 = 80,000

80,000 = 100

30,000 = X

30,000 x 100 / 80,000 = X

37.5 = X

37,000 x 0.375 = X

13.875 = X

5 0

3 years ago