Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
<span>P(t) = Po(1 - r)^t
P(t) = price after t months --> S
Po = initial price -- P
r = rate as a decimal
S = P(.9)^4
-> = 100(.9)^4
-> = 65.61
(100 - 65.61)/100
34.39/100
34%</span>
Answer: b. $3,374.65
Step-by-step explanation:
The exponential equation of growth (continuously) is given by :-
, where A is the initial amount, r is the rate of growth ( in decimal) and x is the time period.
Given : You invest $2,500 in an account that grows 5% each year.
i.e. A= $2,500 and r= 5%=0.05
Then, the equation model this situation will be :-

Now, At x= 6

Hence, the investment amount after 6 years will be $3,374.65.
Answer:
10.5774194, you can round up as many ways as you want.
Asked and answered elsewhere.
brainly.com/question/9247314You obviously don't mind using "technology" (Brainly) to answer these questions. A graphing calculator can do quadratic regression on the sequence and tell you its formula.
If you want to do it by hand, you can write the equation
.. y = ax^2 +bx +c
and substitute three of the given points. Then solve the resulting three linear equations for a, b, and c.
.. 4 = a +b +c
.. 7 = 4a +2b +c
.. 12 = 9a +3b +c
Subtracting the first equation from the other two reduces this to
.. 3 = 3a +b
.. 8 = 8a +2b
The latter can be divided by 2, so reduces to
.. 4 = 4a +b
Subtracting the first of the reduced equations from this, you have
.. 1 = a
so
.. 3 = 3*1 +b
.. 0 = b
and
.. 4 = a + b + c = 1 + 0 + c
.. 3 = c
And your equation is
.. y = x^2 +3 . . . . . . as shown previously