At the end of the first full month the interest acquires is $ 1.30.
<u>Step-by-step explanation:</u>
Since we are looking for the interest for full month, we have to divide the APR by 12.
Because APR is the interest amount for the full year.
So 3.75 % = 3.75/100 = 0.0375
Now multiplying, we will get
415 × 0.0375/12 = $ 1.30
Answer:
a. v(t)= -6.78
+ 16.33 b. 16.33 m/s
Step-by-step explanation:
The differential equation for the motion is given by mv' = mg - γv. We re-write as mv' + γv = mg ⇒ v' + γv/m = g. ⇒ v' + kv = g. where k = γ/m.Since this is a linear first order differential equation, We find the integrating factor μ(t)=
=
. We now multiply both sides of the equation by the integrating factor.
μv' + μkv = μg ⇒ v' + kv = g ⇒ [v]' = g. Integrating, we have
∫ [v]' = ∫g
v = 
+ c
v(t)= + c
.
From our initial conditions, v(0) = 9.55 m/s, t = 0 , g = 9.8 m/s², γ = 9 kg/s , m = 15 kg. k = y/m. Substituting these values, we have
9.55 = 9.8 × 15/9 + c
= 16.33 + c
c = 9.55 -16.33 = -6.78.
So, v(t)= 16.33 - 6.78. m/s = - 6.78 + 16.33 m/s
b. Velocity of object at time t = 0.5
At t = 0.5, v = - 6.78
+ 16.33 m/s = 16.328 m/s ≅ 16.33 m/s
First you distribute what’s outside the parentheses (the -4)
-4•4= -4y
-4•-2= 8
New equation: -4y+8=12
Now you solve like a normal equation
12-8 is 4
New equation: -4y=4
Now divide
Answer:-1
Hello :
4√2-7√2= (4-7)√2 = -3√2
Pretty sure the answer is $600
Hope this helps
