Answer: A = 198.6cm²
Step-by-step explanation: The figure includes two semi circles on both ends. These can be solved as a whole circle with a diameter of 10cm because each semi circle is 5cm.
r = 10/2= 5cm
Area of circle:
A = πr²
A = 3.142*5²
A = 3.142*25
A = 78.55
A = 78.6cm²
The remaining section of the shape is a rectangle with a length of 12cm.
To get this, you subtract 10 from 22 because each semi circle is 5cm which adds up to 10cm.
The rectangle has a width of 10cm.
Area of rectangle:
A = lw
A = 12*10 = 120cm²
The total area of the shape:
A = 120 + 78.6
A = 198.6cm²
Answer:
19.8%
Step-by-step explanation:
We have the following formula for continuous compound interest:
A = P * e ^ (i * t)
Where:
A is the final value
P is the initial investment
i is the interest rate in decimal
t is time.
The time can be calculated as follows:
25 - 18 = 7
That is, the time corresponds to 7 years. In addition, A is 20,000 for A and P would be 5,000, we replace:
20000 = 5000 * e ^ (7 * i)
20000/5000 = e ^ (7 * i)
e ^ (7 * i) = 4
ln e ^ (7 * i) = ln 4
7 * i = ln 4
i = (ln 4) / 7
i = 0.198
Which means that the rounded percentage will be 19.8% per year
Answer:
-6/5
Step-by-step explanation:
3/2x - 5/4y = 15
-5/4y = -3/2x + 15
multiply each side by (-4/5)
(-4/5)(-5/4y) = (-4/5)(-3/2x + 15)
y = -6/5x - 12
rate of change: -6/5
The dog weighs 99 ounces more than the cat. you just have to convert to ounces then subtract.
