Answer:
The total balance for the month after one month of interest accrues is $561 .
Step-by-step explanation:
Given as :
The principal credit in account = p = $550
The rate of interest = 24% annual
The time period = 1 month = 
year
Let The Amount after one month of interest = $A
<u>Now, From Simple Interest method</u>
Simple Interest = 
Or, s.i = 
Or, s.i = 
Or, s.i = 
Or, s.i = 11
∵ Amount = Principal + interest
So, A = s.i + p
Or, A = $11 + $550
∴ A = $561
So, The amount after one month on interest = A = $561
Hence, The total balance for the month after one month of interest accrues = A = $561 . Answer
LHS=2t^2/1-t^2
RHS=2t^2/1-t^2
Hence left had side is equal
Step-by-step explanation:
Taking tan x and sec x in the terms of t=tan(x/2)
tan x=2t/1-t^2
sex x=1/cos x
therefore cos x=1-t^2/1+t^2
so sec x=1/1-t^2/1+t^2
sec x=1+t^2/1-t^2
Taking tan x and sec x in the terms of t=tan(x/2)
tan x=2t/1-t^2
sex x=1/cos x
therefore cos x=1-t^2/1+t^2
so sec x=1/1-t^2/1+t^2
sec x=1+t^2/1-t^2
LHS=tanx .tan(x/2)
=2t.t/1-t^2
=2t^2/1-t^2
RHS=sec x-1
=1+t^2/1-t^2-1
=1+t^2-1+t^2/1-t^2
=2t^2/1-t^2
Therefore hence we proved LHS=RHS
=2t.t/1-t^2
=2t^2/1-t^2
RHS=sec x-1
=1+t^2/1-t^2-1
=1+t^2-1+t^2/1-t^2
=2t^2/1-t^2
Therefore hence we proved LHS=RHS
A. 6(a+8)
B.4(1+ 9x)
C.(9m + 10) x 2
D. 3 (2x + 4y - 15z
Answer:
Step-by-step explanation:
Given
The piece wise function
Solving (a): f(0)
To solve for f(0), we make use of:
Because: the inequality 
satisfies x = 0
i.e: 
So, we have:
Solving (b): f(6)
To solve for f(6), we make use of:
Because: the inequality 
satisfies x = 6
i.e: 
So, we have:
We can use fraction to solve this problem. Since Jean can fill the pool in 8 hours and Mark in 12 hours, we can use the formula X/8 + X/12 = 1 where X/8 stands for Jean's job and X/12 for Mark's.
X - total number of hours Jean and Mark can fill the pool
To add the two fractions, we need to have the same denominator which is 24.
The equation will be (3X + 2x) / 24 = 1, which will give us a simplified formula of 5X / 24 = 1.
To get X, we need to multiply 24 to both sides (5X/24 and 1) so that the equation will be 5X = 24. We only need to solve for X, so we will remove 5 from X by dividing it to 24, giving us the equation 5X/5 = 24/5.
The final answer will be X = 24/5 hours or 4.8 hours.
Therefore, the supervisor is incorrect since Jean and Mark can fill the pool in less than 10 hours.
