Answer:
Step-by-step explanation:
Simple interest rate applies only to the principal amount deposited and not the compounded amount. The formula for simple interest is expressed as
I = PRT/100
Where
I is the interest.
P is the principal or initial amount deposited.
R is the interest rate.
T is the duration in years.
From the information given,
P = $300.00
R = 5 1/4% = 5.25%
T = 6 months = 0.5 years
Therefore,
I = (300×5.25× 0.5)/100 =787.5/100
I = 7.875
The balance in the account at the end of this time will be
300 + 7.875 = $307.875
It's the first one. Note that for each unit increase in x, y increases by 1/2:
outputs are 1/2, 2/2, 3/2, 4/2, corresponding to 1, 2, 3 and 4 as inputs.
Answer:
-24.8 m/s
Step-by-step explanation:
Given:
y₀ = 60 m
y = 40 m
v₀ = 15 m/s
a = -9.8 m/s²
Find: v
There are three constant acceleration equations we can use:
y = y₀ + v₀ t + ½ at²
v = at + v₀
v² = v₀² + 2a(y − y₀)
We aren't given the time, so we need to use the third equation, which is independent of time:
v² = v₀² + 2a(y − y₀)
Plug in the values:
v² = (15 m/s)² + 2(-9.8 m/s²) (40 m − 60 m)
v² = 617 m²/s²
v ≈ ±24.8 m/s
Since the coin is on the way down, the velocity is negative. So v = -24.8 m/s.
2(4^2 + 1) = 2(16+1) = 2(17) = 34
