This is exponential growth/decay type problem...
F=Ir^t, F=final value, I=initial value, r=rate, t=time, in this case I=1250 and r=(1-.045)=0.955 so
F=1250(.955)^t and we want to find t for when F=800
800=1250(.955)^t
.64=.955^t take the natural log of both sides...
ln.64=t ln.955
t=(ln.64)/ln.995
t≈9.69 weeks
t≈9.69 weeks (to nearest hundredth of a week)
A=22/10
A=integral(a,b) [f(x)-g(x)]dx
Since the function is even (the function is mirrored over the y axis) we can evaluate the integral from 0 to 1 and then multiply our answer by 2 since we have the same area on each side of the y axis.
We get A=2*int.(0, 1)[(x^2)-(-2x^4)]dx
Now we can integrate by term.
2*[int.(0, 1)[x^2]dx+int(0, 1)[2x^4]dx]
Now factor out constants.
2*[int(0,1)[x^2]dx+2int(0,1)[x^4]dx]
Now integrate.
2*[(x^3/3)|(0,1) + 2*(x^5/5)|(0,1)]
Now solve.
2*[(1/3)+2*(1/5)]
=22/10
Hope you can decipher what I wrote!
Queremos encontrar la velocidad promedio de un automóvil dado que conocemos cuanto se desplaza y cuanto tarda en realizar ese desplazamiento. Veremos que la velocidad promedio es 45.3 millas por hora.
Recordar que definimos velocidad promedio como el cociente entre la distancia recorrida y el tiempo que se tarda en recorrer esa distancia.
Aca tenemos:
Desplazamiento = (30 + 1/5) cm
Tiempo = (2/3 horas)
Entonces la velocidad esta dada por:
Asi podemos concluir que la velocidad promedio es 45.3 millas por hora.
Sí quieres aprender más sobre velocidad, puedes leer:
brainly.com/question/25316464
Here's what I'd do. If the account loses $4 per month, and it currently has $412, then do 412/4, which is 103 months. So in 103 months, or about 8 1/2 years, the bank account will be out of money.
Answer:
43 FT^2
Step-by-step explanation:
3.14159265359 x 3.7^2
Pi times the radius squared
