Answer:
John is 12 years old.
Step-by-step explanation:
She is three times as old as an 8 years old.
8*3 = 24
Twice as old as John. John is half her age.
24/2 = 12
The area of the sector 2π/3 radians with diameter 10 feet 75π feet²
The arc period of a circle can be calculated with the radius and relevant perspective using the arc period method.
Diameter = 10 feet
radius = 5 feet
angle = 2π/3 radians
⇒angle= arc/radius
⇒ 2π/3 radians° =arc/10
⇒ arc =2π/3 radians *10
⇒arc=2π/3 radians*10
⇒arc = 20/π43 feet
Area of a circle = π*r²
= π*5² = π25
∵ area of complete circle is π25
∴ area of 2π/3 radians = π25/2π *2π/3 radians
= 75π answer
Learn more about circle here:-brainly.com/question/24375372
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Answer:
$1,577.74
Step-by-step explanation:
You are going to want to use the continuous compound interest formula, which is shown below.

<em>A = total
</em>
<em>P = principal amount
</em>
<em>r = interest rate (decimal)
</em>
<em>t = time (years)
</em>
<em />
First change 3% to its decimal form:
3% ->
-> 0.03
Next, we can plug in the values into the equation:


The last step is to subtract 8,000 from 9,577.74:

The total interest earned is $1,577.74