Answer: 128.86cm²
Step-by-step explanation:
The circle is inscribed in the rectangle. To find the shaded portion, subtract he area of the circle from the are of the rectangle.
Area of the rectangle = 11 x 12
= 132cm²
Area of the circle with radius of 1cm = πr²
= 3.142 x 1²
= 3.142cm²
Therefore , area of the shaded region = 132cm² - 3.142cm²
= 128.86cm²
Note that the notation

is just another way of writing

. Here, we're simply taking the expression for f(x) and adding the expression for g(x) to it. Together, we have:

Which means that

And from there, it's just a matter of combining like terms to simplify.
Answer:
$8,430.23
Explanation:
From the statement of the problem:
• The principal amount = $8,000
,
• Interest Rate = 5%
,
• Compounding Period = 12 (Monthly)
The compound interest formula is given as:

Using the compound period formula, we first, calculate the amount in her account at the end of 1 year.

This means that the interest she made during the first year is:

Next, calculate the amount in her account at the end of the second year.

Since she paid back all the interest she made during the first year, the amount Diana was left with is:

Diana was left with $8,430.23.
9514 1404 393
Answer:
B. $8,144.47
Step-by-step explanation:
The compound interest formula is ...
A = P(1 +r)^t
where r is the annual rate compounded annually for t years, applied to principal P.
A = $5000(1 +0.05)^10 = $8144.47
After 10 years, there will be $8,144.47 in the account.