Answer:
The Amount of money in the account after 28 years is $616,674.5
Step-by-step explanation:
Given as :
The principal amount placed in the account = p = $67,000
The rate of interest = r = 8.25%
The time period of amount in the account = t = 28
Let the Amount of money in the account = $A
Now<u>, From Compound Interest method</u>
Amount = Principal × 
A = p × 
Or, A = $67,000 × 
Or, A = $67,000 × 
Or, A = $67,000 × 9.2041
∴ A = $616,674.7
So, The Amount of money in the account = A = $616,674.5
Hence, The Amount of money in the account after 28 years is $616,674.5 Answer
Answer:
13. A
14. C.
Step-by-step explanation:
A relation is a function if there is only one y assigned to each x.
That is if you have a set of points, there should be no repeated x value.
So looking at {(0,0),(-2,4),(-2,-4),(-3,7)} this is not a function because you have two x's that are the same. A.
The slope-intercept form of a linear equation is y=mx+b where m is the slope and b is the y-intercept.
The y-intercept is where the graph goes through the y-axis at. It goes through at -1 so b=-1.
The slope is rise/run. So starting from the y-intercept (0,-1) we need to find another point to count the rise & run to... How about (3,1)? That works. You can do the counting if you want. You could also use the slope formula.
To use the slope formula, I just like to line the points up vertically and subtract vertically then put 2nd difference over the 1st difference.
(0,-1)
-(3,1)
--------
-3 -2
So the slope is -2/-3 or just 2/3.
So the equation is y=2/3 x-1
C.
Answer:
300(1.0125)^12t
Step-by-step explanation:
P=300
R=0.15
N=12
substitute them into the equation P(1+r/n)^nt and then simplify the equation. The answer should be 300(1.0125)^12t
Answer:
Given functions,
Since, by the compositions of functions,
1. (g◦f)(x) = g(f(x))
Since, (g◦f) is defined,
If 3 - x² ≥ 0
⇒ 3 ≥ x²
⇒ -√3 ≤ x ≤ √3
Thus, Domain = [-√3, √3]
2. (f◦g)(x) = f(g(x))
Since, (g◦f) is defined,
If x ≥ 0
Thus, Domain = [0, ∞)
3. (f◦f)(x) = f(f(x))
Since, (f◦f) is a polynomial,
We know that,
A polynomial is defined for all real value of x,
Thus, Domain = (-∞, ∞)
9 2/3 - 2 8/10 = 16 13/15
