Amount obtained in Compound interest is given by :
Note : Conversion period is the time from one interest period to the next interest period. If the interest is compounded annually then there is one conversion period in an year. If the interest is compounded semi-annually then there are two conversion periods in an year. if the interest is compounded quarterly then there are four conversion periods in an year.
<u>Problem</u> :
Given : $500 is invested for one year at 4% annual interest
As the question mentions the term ''compounded quarterly'', there are 4 conversion periods in a year.
If the interest is compounded quarterly, then the rate of interest per conversion period (quarter) will be :
Substituting all the values in the Amount formula of C.I, We get :
We know that : Interest = Amount - Principal
Interest = 520.30 - 500
Interest = $20.30
Answer:
Step-by-step explanation:
a=42,b=58,A=36°
Y = - 2x and y = x² - 8, this means that:
-2x = x² - 8 → x² + 2x - 8 = 0
Solve this quadratic equation:
x₁ = [-b + √(b² - 4.a.c)]/2a and x₂ = [-b - √(b² - 4.a.c)]/2a
x₁ = [- 2 + √(4+32)]/2 and x₂ = [- 2 - √(4+32)]/2
x₁ = -4 and x₂ = 2 (in the 2nd equation). Now plug in these values in the 1st equation and you will find - 4 and 8
Answer D
The domain is all the ones under the x and the range are the numbers under the y (that goes fo any question like that)
Answer:
x^2-2x-4=0
Δ=2^2-4*1*(-4)
Δ=4+16=20
VΔ=2V5
x1= (2+2V5)/2=1+V5
the answer is D
Step-by-step explanation: