Answer:
Step-by-step explanation:
if the angles form a linear pair, that means their sum=180
10x-63+8x=180
18x=180+63
x=243/18=13.5 choice c
Answer:
x=2/3+1/3
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2−4x−2=0
For this equation: a=3, b=-4, c=-2
3x2+−4x+−2=0
Step 1: Use quadratic formula with a=3, b=-4, c=-2.
Answer:
Where a = 2 , b= 3, c= -5, replacing we have this:
And simplifying we got:
And the two solutions are:
And the correct options are:
B and C
Step-by-step explanation:
We have the following equation given:
And if we use the quadratic formula given by:
Where a = 2 , b= 3, c= -5, replacing we have this:
And simplifying we got:
And the two solutions are:
And the correct options are:
B and C
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
Pythagorean Theorem: A^2 + B^2 = C^2
<span>We know A and C, let's find B by doing it backwards </span>
<span>C^2 - A^2 = B^2 </span>
<span>4^2 - 7 (square root of 7 squared is just 7) = B^2 </span>
<span>16 - 7 = B^2 </span>
<span>9 = B^2 </span>