Answer:
13.5%
Step-by-step explanation:
8100 interest/4 years=2,025 interest per year
principal x interest rate=interest per year
15000 x interest rate=2025
interest rate =2025/15000
interest rate=.135 or 13.5%
Answer:
f(x) = 2x² - 8x - 10.
This is a parabola open upward (since a>0) with an axis of symmetry = -b/2a:
a) axis of symmetry: x = -(-8)/(2*2) = 8/4 = 2. Then x = 2, which is the x component of the vertex
b) for x = 2, f(x) = f(2) = - 18 (component of y of the vertex)
c) VERTEX(2, - 18)
d) DISCRIMINENT: b² - 4.a.c = 64 - 4*2*(-10) = 144
Hope this helps! :)
1. For x<3, h(x)=x+2
now x+2 is an increasing line (a practical way to check, h(1)=3, h(2)=4)
the largest value it takes is at 3, not inclusive, so h(3)=5 not inclusive.
Range_1= (-∞, 5)
2. for x> or equal to 3, h(x)=-x+8, which is a decreasing line (check h(4)=4, h(5)=3 )
so this line takes its maximal value at x=3, f(3)=5 and then takes any other value to -∞.
Range_2=(-∞,5]
3. Range(h)=Range1∪Range2=(-∞, 5)∪(-∞,5]=(-∞,5] (B)
Orders of Magnitude are in terms of scientific notation.
23,000 written in scientific notation is 2.3 x 10^4, it's magnitude is 4 ( the number 10 is raised to)
56 in scientific notation would be 5.6 x 10^1, its magnitude is 1.
4 - 1 = 3
2300 is 3 order of magnitudes larger.
The answer is 3.
We have been given that an account is opened with a balance of $3,000 and relative growth rate for a certain type of mutual fund is 15% per year.
In order to tackle this problem we have to find the value of mutual fund after 5 years. For our purpose we will use compound interest formula.
,where A= amount after t years, P= principal amount, r= interest rate (decimal) and t= number of years.
After substituting our given values in above formula we will get
Now we will solve for A
Therefore, after 5 years mutual fund is worth $6034.07.
