Answer:
(6, -11)
Step-by-step explanation:
The translation (x-2,y+3) means "subtract 2 from x coordinate" and "add 3 to the y coordinate".
After the transformation, we have the point B'(4,-8). Which point, let it be (x,y), after being transformed is B'(4,-8)??
According to the transformation rule, we have to "subtract 2 from x coordinate" and "add 3 to the y coordinate", thus
x-2=4
x=4+2
x=6
and
y+3=-8
y=-8-3
y=-11
THe coordinate of B are (6,-11)
if you were to divide 24 feet by 3 you would get 8
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Ughhh...the limit formula...this should be thrown in the trash the minute you start doing derivatives :P
(-8-9(t+d)-(-8-9t))/(t+d-t)
(-8-9t-9d+8+9t)/d
-9d/d (which is -9 for any value of d as well as when d approaches zero)
-9
So the instantaneous velocity is regardless of t or delta t
Answer:
<em>Keisha will owe $18444.32 after 9 years</em>
Step-by-step explanation:
<u>Compound Interest</u>
It occurs when the interest is added to the principal rather than paying it in.
It basically means paying interest over interest.
The formula is:
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Keisha borrowed P = $8000 at a rate of r = 9.5% = 0.095 (assumed annual rate) compounded semiannually (twice a year).
If she makes no payments, the amount she owes increases over time. After t = 9 years, we can calculate the amount owed by using the above formula.
Please, note that since there are 2 compounding periods per year, n = 2, thus:
Operating:
A = $18444.32
Keisha will owe $18444.32 after 9 years
Answer:
40
Step-by-step explanation:
Given problem:
x² - y²
x+ y = 10
x - y = 4
Solution:
Using the concept of differences of two squares;
x² - y² = (x + y)(x - y)
So;
x² - y² = 10 x 4 = 40