Answer: the initial deposit is $162.1
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
e is the mathematical constant approximated as 2.7183.
From the information given,
r = 7% = 7/100 = 0.07
t = 3 years
A= $200
Therefore,
200 = P x 2.7183^(0.07 x 3)
200 = P x 1.234
P = 200/1.234
P = $162.1 to the nearest cent
Answer:
1,-1,3,-3
Step-by-step explanation:
your P is the first number or the number with the highest exponent, your Q is the last number or the number with no variables. So you make a list of what multiplies to your P's and what multiplies to your Q's and you divide your P list by Q. So 3 is made by -1,1,-3,3 and -1 is made by -1,1. So dividing that you get your list of -3,-1,1,3
<span> x = 10/7. Hope this helped
</span>
Answer:
4 parrots
3 cages
Step-by-step explanation:
Bryan has one more parrot than cages and one more cage than half the number of parrots. The following system of equations can be modeled for the number of parrots (P) and cages (C):

Solving the linear system:

Bryan has 4 parrots and 3 cages.