Answer:
24.05
Step-by-step explanation:
v² = u² + 2gs
(25)² =(12)² +2(10)s
625=144+20s
625-144=20s
481=20s
481/20=s
24.05=s
s=24.05
Answer:
(a) The continuously compounding account
(b) $1.39
Step-by-step explanation:
(a) At identical interest rates, continuous compounding will yield the greatest account balance when compared to periodic forms of compounding (i.e., yearly, quarterly, monthly, weekly, etc.).
(b) By compounding interest monthly, Gregory's account balance will be $6,291.61 after 10 years. By compounding interest continuously, his balance will be $6,293.00. Therefore, by choosing the continuously compounding account, he will earn $1.39 more over 10 years.
2/3 of the entire tank = 150 gallons
2/3x = 150
x = 150 / (2/3)
x = 150 * 3/2
x = 450/2
x = 225 <== the entire tank can hold 225 gallons
Answer:
x = 10/√2 ≈ 7.07
Step-by-step explanation:
Comenzaremos por dividir el triángulo en dos partes y definir H, como en la figura adjunta.
Aplicando el teorema de Tales, sabemos que:
También sabemos que, dado que el tirángulo menor es la mitad que el triángulo mayor, la relación entre áreas es:
Dado que formamos dos triángulos rectángulos, podemos despejar el valor de H como:
Podemos entonces despejar x de la siguiente manera:
Answer:
x = 12
Step-by-step explanation:
Step 1: Write quadratic
x² - 24x + 144 = 0
Step 2: Factor
(x - 12)(x - 12) = 0
Step 3: Find roots
x - 12 = 0
x = 12
