Answer:
From <u>fourth</u> month onwards, the growth rate of 
is greater than that of 
.
Step-by-step explanation:
Given:
The growth rates of both bank accounts are given as:
Now, as per question, we need to find the value of 'x' when the value of 
. Or,
Now, we can do this by checking the values of 'x' by hit and trial method.
Let 
. The inequality becomes:
Let 
. The inequality becomes:
Let 
. The inequality becomes:
Let 
. The inequality becomes:
Therefore, the value of 'x' for which is 4.
So, from the fourth month onwards, the balance in becomes greater than .
The graphical solution is shown below to support the same.
From the graph, we can conclude that after the 'x' value equals 3.4, the graph of lies above of . Hence, for 
12, 16, 20, 44
Just substitute the number on the x side of the table for x in the equation and solve to get the y value.
Answer:
this y easy use your mind
Step-by-step explanation:
f(t) = -16t² + 126t
for what values of t did this function deliver 50 ft of height ?
50 = -16t² + 126t
-16t² + 126t - 50 = 0
the general solution to such a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = t
a = -16
b = 126
c = -50
t = (-126 ± sqrt(126² - 4×-16×-50))/(2×-16) =
= (-126 ± sqrt(15876 - 3200))/-32 =
= (-126 ± sqrt(12676))/-32 =
= (-126 ± 112.5877436...)/-32
t1 = (-126 + 112.5877436...)/-32 = -13.41225644.../-32 =
= 0.419133014... ≈ 0.42 seconds
t2 = (-126 - 112.5877436...)/-32 = -238.5877436.../-32 =
= 7.455866986... ≈ 7.46 seconds
so, this means, right after launch the ticket reaches 50ft (from below) after 0.42 seconds, and then, when it falls back down, it will reach 50ft again (this time from above) after 7.46 seconds of flight time.
Answer:
The average interest rate will be approximately 9.64%
Step-by-step explanation:
Enrique borrowed $23000
2% interest on $4500 will be
4500 × 2/100
= 45 × 2
= $90
On the rest, which is
$23000 - $4500 = $18500
11.5% interest on $18500 will be
18500 × 11.5/100
= 185 × 11.5
= $2127.50
The total interest will be
$90 + 2127.50 = $2217.50
The average interest will be Total interest multiply by 100, divide by principal
That is Interest = pr/100, where t = 1
r = (I × 100)/p
r = (2217.50 × 100)/23000
r = 221750/23000
r ≈ 9.64%
