Answer:
$137,339.88
Step-by-step explanation:
Here is the equation for compound interest: A=P(1+(r/n))^nt
where A=amount of money, P=principal, r= rate in decimal, n=number of times compounded per t, and t=time
In this case:
A=$250,000
P= ?
r= 0.04
n= 12 month/yr
t= 15 yrs
You can manipulate the equation to solve for P:
P=A/[(1+(r/n))^nt]
Plug in variables then solve:
P= 
P=137339.8761 = $137,339.88
What do you need help with?
Answer:
0.5 chance
1/2 chance
Reason:
Half the bag is peanuts therefore there is half a chance you will pick one out
Answer (B) 2/3
Explanation: the multiplicative rate is the ratio of the values y(k)/y(k+1) (with k being the index). This ratio must be the same for the function to be exponential. We can take y(2)/y(1) = 4/6 = 2/3.
We can use 2/3 to verify the remaining entries:
x=3: 4*2/3 = 8/3 = y(3)
x=4: (8/3)*(2/3)=16/9=y(3)
A.) Integers are positive and negative counting numbers. So, in order to find the integer coefficients, round off the coefficients in the equation to the nearest whole number. The function for g(x) is:
g(x) = 3x²+3x
B.) Substitute x=4 to the two functions.
f(x) = 2.912345x²<span>+3.131579x-0.099999
</span>f(4) = 2.912345(4)²+3.131579(4)-0.099999
f(4) = 59.023837
g(x) = 3x²+3x
g(4) = 3(4)²+3(4)
g(4) = 60
C.) The percentage error is equal to:
Percentage error = |g(4) - f(4)|/f(4) * 100
Percentage error = |60 - 59.023837|/59.023837 * 100
Percentage error = 1.65%
D.) If x is a large number, for example x=10 or x=20, then g(x) would be an overestimate. This is because the value of x is raised to the power of 2. So, as the x increases, the corresponding function would increase exponentially. Even at x=4, g(x) is already an overestimate. What more for larger values of x? That means that the gap from the true answer f(x) would increase.
