I wrote my answer in the picture
30+0.10x
340/0.10=34
34+30=64
64 dollars, I think
Hi! I'm Jenny and I'm a mathematician! I'd love to help you with this problem! :)
Lets get started...
I'll write the equation out for you!
x + x(xx)
Put the value of x = 2 in the above expression we get,
2 + 2(22)
= 2 + 2(2 × 2)
= 2 + 2(4)
= 2 + 8
= 10
<span>70 thousand is written in short word form, because its written as a combination of numbers and letters.
Standard form would be to write the number easily using multiplication with 10. That woul be:
70000=7*10^4. It;s 10^4 because the decimal point has been 4 laces to the left to get the number to be 7.
Word form can be obtain by writing the number using letters. Long word form is: seventy thousand. But because sevety is written with number (70), this is short word form of the number,</span>
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)
