Could someone help me with number 12?
1 answer:
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Answer:
113.142857 m²
Step-by-step explanation:
As per the provide information in the given question, we have :
- Radius of the circular ground = 6 m
We are asked to find the area of the ground.
Since, it is in the shape of circle, so we'll apply here the formula to find the area of the circular ground.
We know that,
>> Area of circle = πr
>> Area of the ground = × 6 m × 6 m
>> Area of the ground = × 36 m²
>> Area of the ground = m²
>> Area of the ground = 113.142857 m²
<u>Therefore</u><u>,</u><u> </u><u>area</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>ground</u><u> </u><u>is</u><u> </u><u>113.142857 m²</u><u>.</u><u> </u>
Answer:
The compounded annually account will earn more interest over 10 years
Step-by-step explanation:
The rule of the simple interest is I = Prt, where
- P is the original value
- r is the rate in decimal
- t is the time
The rule of the compounded interest is A = P, where
- A is the new value
- P is the original value
- r is the rate in decimal
- n is the number of periods
- t is the time
The interest I = A - P
∵ Each account start with $200
∴ P = 200
∵ They have an interest rate of 5%
∴ r = 5% = 5 ÷ 100 = 0.05
∵ One account earns simple interest and the other is compounded
annually
∴ n = 1 ⇒ compounded annually
∵ The time is 10 years
∴ t = 10
→ Substitute these values in the two rules above
∵ I = 200(0.05)(10)
∴ I = 100
∴ The simple interest = $100
∵ I = A - P
∵ A = 200
∴ A = 325.7789254
∵ I = 325.7789254 - 200
∴ I = 125.7789254
∴ The compounded interest = $125.7789254
∵ The simple interest is $100
∵ The compounded interest is $125.7789254
∵ $125.7789254 > $100
∴ The compounded annually account will earn more interest
over 10 years