25% just like money 25 50 75 1.00 same thing just going from .25 to .5 so 25%
Answer: shifted by 3*pi/2 units to the right.
Step-by-step explanation:
Here we have:
y = sin(x - 3*pi/2)
now, you need to remember this:
if we have y = f(x)
then y' = f(x - A) is the graph of y, shifted A units to the right (where A is a positive number).
If A is negative, the shift is to the left.
Then in this case, we have:
sin(x) -----> sin( x - 3*pi/2)
A = 3*pi/2
Then we have the graph shifted by 3*pi/2 units to the right.
To calculate amount accrued after a given period of time we use the compound interest formula: A= P(1+r/100)∧n where A i the amount, P is the principal amount, r is the rate of interest and n is the interest period.
In the first part; A= $ 675.54, r= 1.25% (compounded semi-annually) and n =22 ( 11 years ), hence, 675.54 = P( 1.0125)∧22
= 675.54= 1.314P
P= $ 514.109 , therefore the principal amount was $ 514 (to nearest dollar)
Part 2
principal amount (p)= $ 541, rate (r) = 1.2 % (compounded twice a year thus rate for one half will be 2.4/2) and the interest period (n)= 34 (17 years×2)
Amount= 541 (1.012)∧34
= 541 ×1.5
= $ 811.5
Therefore, the account balance after $ 811.5.
Answer:
the correct answer is 23$
Step-by-step explanation:
15% off takes 15% of the whole price
hope this helps
Answer: B) Infinitely many solutions; both equations are equivalent
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Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
