Answer:
Is shaded 5/8 of the area of the rectangle
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of triangle ABC represent 1/4 of the total area
The area of triangle CDE represent 1/8 of the total area
The shaded region is composed by one triangle equal to triangle ABC and three triangles equal to triangle CDE
so
The area of the shaded region is equal to
therefore
Is shaded 5/8 of the area of the rectangle
1st one : is 1/4 ( subtract 3/8 from both sides and simplify 5/8 - 3/8 to 1/4. )
2nd one : is 1/2 ( subtract 3/4 from both sides, simplify 1/4 - 3/4 to 1/-2, and then multiply both sides by -1 )
3rd one : is 5/6 ( subtract 1/8 from both sides and simplify 23/24 - 1/8 to 5/6).
X stands for the score of her first test
Y stands for the score of her second test
Answer:
17.5% per annum
Step-by-step explanation:
<u>Given:</u>
Money invested = $20,000 at the age of 20 years.
Money expected to be $500,000 at the age of 40.
Time = 40 - 20 = 20 years
<em>Interest is compounded annually.</em>
<u>To find:</u>
Rate of growth = ?
<u>Solution:</u>
First of all, let us have a look at the formula for compound interest.
Where A is the amount after T years compounding at a rate of R% per annum. P is the principal amount.
Here, We are given:
P = $20,000
A = $500,000
T = 20 years
R = ?
Putting all the values in the formula:
So, the correct answer is <em>17.5% </em>per annum and compounding annually.
Answer: You must see if it is a distributive property of multiplication over addition or a distributive property of multiplication over subtration.
Step-by-step explanation:
You can find two kind of expressions in this property:
- Distributive property of multiplication over addition: When you mulitply a sum by a number. For example:
- Distributive property of multiplication over subtration: When you mulitply a subtration expression by a number. For example: