Answer:
Step-by-step explanation:
Given: The number of days Jonathan ran = 5
The most he ran in 1 day = 3.5 miles
Therefore, the maximum distance he ran in a week=
Let x be the distance Jonathan could have rum in a week, such that
Hence, the required inequality is .
1.
60² + 30² = 4500²
Opposite corner = 67.08 ft.
//
2.
6² + 8² = 100²
The wire must be 10 ft.
//
3.
7² + 14² = 245²
The rope is 15.65 ft.
//
4.
180² + 300² = 122400²
He ran 349.85 ft.
//
I'm not too sure about question 3.
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
The rule of the compounded interest is A = P, where
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