Answer:
- Circumference = 69.14cm
- Area = 380.29cm²
Step-by-step explanation:
Circumference.
Circumference of a circle is calculated by the formula:
= Pie * diameter
= π * diameter
= 22/7 * 22
= 69.14 cm
Area
Area of circle:
= Pie * radius ²
Radius = diameter/2
= 22/2
= 11 cm
Area = 22/7 * 11²
= 22/7 * 121
= 380.29 cm²
Answer:
$1,131.20 is the amount earned
Step-by-step explanation:
<u>Key skills needed: Simple Interest Formula, Operations ( +, - , x , / )</u>
1) To understand this problem, you need to know the simple interest formula.
A = P(1+rt)
A is the amount
P is the principal
R is the interest rate as a decimal
T is the time in years
2) The 1st thing we need to do is convert the interest rate into a decimal. We have 14%. To convert into decimal form, we divide it by a 100, or move the decimal 2 places to the left. This is 0.14 --> So r=0.14
3) Next we use the formula:
A = 1,010(1+ 0.14(8))
- We first do 0.14(8) which is 1.12 and then add it to the 1 value, so you will get --> A = 1,010(2.12)
- Multiply and you will get A = $2,141.20
- To find the interest earned, you subtract this by the original amount, so $2,141.20 - $1,010 which would be $1,131.20
This means $1,131.20 is your answer.
<em>Hope you understood and have a nice day!! :D</em>
Answer:
B. 2 + 6x and 2(3x + 1) Choose
D. 3x and 4(x + 1) – x – 4 Choose...
E. 5.5 + 2.1x + 3.8x – 4.1 and 1.4 + 5.9x Choose...
Step-by-step explanation:
A. 3x + 14 – x + 112 and 4x + 134 Choose...
3x + 14 - x + 112
= 2x + 126
And
4x + 134
Not equivalent
B. 2 + 6x and 2(3x + 1) Choose...
2 + 6x
And
2(3x + 1)
= 6x + 2
Yes, equivalent
C. 3(x + 1) – (1 + x) and 2x + 3 Choose...
3(x + 1) - (1 + x)
3x + 3 - 1 - x
2x + 2
And
2x + 3
No, not equivalent
D. 3x and 4(x + 1) – x – 4 Choose...
3x
And
4(x + 1) - x - 4
= 4x + 4 - x - 4
= 3x
Yes, equivalent
E. 5.5 + 2.1x + 3.8x – 4.1 and 1.4 + 5.9x Choose...
5.5 + 2.1x + 3.8x - 4.1
1.4 + 5.9x
And
1.4 + 5.9x
Yes, equivalent
