Answer:
Ohn has paid $5730 in first 20 installments
Step-by-step explanation:
As per the question Ohn payed the first installment =$100
Next month Ohn payed the installment = 1.1×$100
Similarly subsequent installment =1.1×1.1×$100
So we can write first 20 installments as
⇒100+100×1.1+100×1.1²+100×1.1³.........+100×
And we know in geometric series
1+x²+x³+...........
= (1-
)÷(1-x)
Therefore sum of first 20 installments will be
⇒100(1+1.1²+1.1³............ =(1- )÷(1-1.1)
= 100(1-6.73)÷(-.1)
=100×5.73÷.1
= $5730
So Ohn has paid $5730
Answer:
√1
Step-by-step explanation:
If you do the fractions by squaring them then you get fractions that equal 1:
5/13^2 = 25/169
12/13^2 = 144/169
144/169 + 25/169 = 169/169 = 1
√1
Answer:
q = (r - px) / x
or you could write it as q = (r/x) - p
Step-by-step explanation:
px + qx = r
qx = r - px
q = (r - px) / x
X²+15x+36<0
at first solve quadratic equation
D=b²-4ac= 225-4*1*36= 81
x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3
we can write x²+15x+36<0 as (x+12)(x+3)<0
(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
1 case) x+12<0, and x+3>0,
x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set
or second case) x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3) they are crossing , so (-12, -3) is a solution of this inequality
Answer:
the third one
Step-by-step explanation:
y represents the number plus 5 and the x represents the other number
