Answer:
Consider points (0, -5) and (-6, -1)
» General equation of a line:
- m is slope
- c is y-intercept
<u> </u><u>S</u><u>l</u><u>o</u><u>p</u><u>e</u><u> </u><u>(</u><u>m</u><u>)</u><u>:</u>
<u> </u><u>y</u><u>-</u><u>i</u><u>n</u><u>t</u><u>e</u><u>r</u><u>c</u><u>e</u><u>p</u><u>t</u><u> </u><u>(</u><u>c</u><u>)</u><u>:</u>
consider point (0, -5)
Equation:
Formula for compound interest is
Interest = Amount - Principal
Interest = - P
Where r = rate in percent
t = time in years
For Jaina,
P = $300
r= 7%
t = 3 yrs
So, Interest = - 300
For Tomas
P = $400
r= 4%
t = 3 yrs
So, Interest = - 400
So pair of equations for Jaina and Tomas are
Interest = - 300
Interest = - 400
Answer:
a= 1/2 and b= 1/2
Step-by-step explanation:
The given probability can be expressed in the form of binomial expansion where a= p and b= q
Therefore a= 1/2 and b= 1/2
For n= 8 trials the binomial expansion can be written as
[ p+q] ^n = [ 1/2+1/2]^8
=(1/2)^0(1/2)^8 +8C1(1/2)^7(1/2)+8C2(1/2)^6(1/2)^2+8C3(1/2)^5(1/2)^3+8C4(1/2)^4(1/2)^4+8C5(1/2)^3(1/2)^5+8C6(1/2)^2(1/2)^6+8C7(1/2)(1/2)^7+8C8(1/2)^0(1/2)^8
=
1(1/2)^0(1/2)^8 +8(1/2)^7(1/2)+28(1/2)^6(1/2)^2+56(1/2)^5(1/2)^3+70(1/2)^4(1/2)^4+56(1/2)^3(1/2)^5+28(1/2)^2(1/2)^6+8(1/2)(1/2)^7+1(1/2)^0(1/2)^8
=
1/(2)⁸ { 1+ 8+28+56+70+56+28+8+1}
= 1/(2)⁸ {256}
= 1
The total probability is always 1.
Also P+q= 1
1/2+1/2= 1
Fraction: 30/100 - 300/100