The vertex is (3,5).
There is no x intercept. Because
has no real solutions.
The y intercept is 14. Because:
A=P (1+r/n)^nt
A= Total amount invested, P=principal amount, r=Interest rate, n=number of time in a year when the interest is earned (for annual, n=1; for semi-annual, n=2, ...), t = time in years
In the current scenario, case 1, n=2; case 2, n=1 and A1=A2, t1=t2
Therefore,
800(1+0.0698/2)^2t = 1000(1+0.0543/1)t
Dividing by 800 on both sides;
(1+0.0349)^2t = 1.25(1+0.02715)^t
(1.0349)^2t = 1.25(1.02715)^t
Taking ln on both sides of the above equation;
2t*ln (1.0349)= ln 1.25 + t*ln (1.02715)
2t*0.0343 = 0.2231+ t*0.0268
0.0686 t = 0.2231+0.0268 t
(0.0686-0.0268)t = 0.2231
0.0418t=0.2231
t=5.337 years
Therefore, after 5.337 years or 5 years and approximately 4 months, their value of investments will be equal.
This value will be,
A=800(1+0.0698/2)^2*5.337 = $1,153.76
Answer:
The exponential function best models the data for the given table.
Step-by-step explanation:
Given : The table showing the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
We have to find which function best models the data for the given table.
Consider the given data in the table.
We first plot the data using Expo- regression calculator (as shown in attachment)
Since, The the estimate number of bees deceases with increasing number of days ,thus the data represents an exponential decay over time.
Thus, The exponential function best models the data for the given table.
And the equation of model is given as 
Where y represents the estimate number of bees
and x represents the number of days.
Answer:
<em>Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.</em>
Step-by-step explanation:
<u>System of Equations</u>
Consider the following system of equations
2x + 3y = 8 [1]
3x + y = -2 [2]
And the point (1,2). Substituting in both equations:
For equation [1]:
2*1 + 3*2 = 8
2 + 6 = 8
8 = 8
Since the equation is true, point (1,2) satisfies the equation 2x + 3y = 8
Now for equation [2]:
3*1 + 2 = -2
3 + 2 = -2
5 = -2
Since this equation is false, point (1,2) does not satisfy the equation 3x + y = -2
Answer: The point (1, 2) is not a solution to the system of equations because it does not satisfy the equation 3x + y = –2.
Ok so I’m guessing your finding rate I used to struggle to anyway from x to f what’s fifference well first is 5 seconds is 2 3 is times 2 so 1/2 times itself is one one time two is two and last is not linear
