Step-by-step explanation:
7+2x-2 = 4x -3
5= 2x -3
2x = 8
x = 4
Answer:
no lol but what do u need help with
Answer:
a 26
b 8 2/3
Step-by-step explanation:
a) 4 1/3 * 6
Change the mixed number to an improper fraction
(3*4+1)/3 *6
13/3 *6
= 78/3
= 26
b) 2 3/5 * 3 1/3
Change the mixed numbers to improper fractions
(5*2+3)/5 * (3*3+1)/3
13/5 * 10/3
130/15
Top and bottom divide by 5
26/3
Change back to a mixed number
3 goes into 26 8 times (3*8 =24) with 2 left over
8 2/3
Answer:
Y= 2e^(5t)
Step-by-step explanation:
Taking Laplace of the given differential equation:
s^2+3s-10=0
s^2+5s-2s-10=0
s(s+5)-2(s+5) =0
(s-2) (s+5) =0
s=2, s=-5
Hence, the general solution will be:
Y=Ae^(-2t)+ Be^(5t)………………………………(D)
Put t = 0 in equation (D)
Y (0) =A+B
2 =A+B……………………………………… (i)
Now take derivative of (D) with respect to "t", we get:
Y=-2Ae^(-2t)+5Be^(5t) ....................... (E)
Put t = 0 in equation (E) we get:
Y’ (0) = -2A+5B
10 = -2A+5B ……………………………………(ii)
2(i) + (ii) =>
2A+2B=4 .....................(iii)
-2A+5B=10 .................(iv)
Solving (iii) and (iv)
7B=14
B=2
Now put B=2 in (i)
A=2-2
A=0
By putting the values of A and B in equation (D)
Y= 2e^(5t)
Principal is the same as original amount.
<span>1. You convert the rate % to a decimal number. (divide by 100) </span>
<span>2. Substitute: </span>
<span>P = 144 / (.04 x 2) </span>
<span>3. Solve: </span>
<span>P = 144 / .08 </span>
<span>P = 1,800 </span>
<span>4. Your answer is $1,800</span>
