Hello,
a(1)=108
a(2)=a(1)/(-2)=-54
a(3)=a(2)/(-2)=a(1)/(-2)²=27
a(4)=a(3)/(-2)=a(1)/((-2)^3)=-27/2
a(n)=a(1)/(-2)^(n-1)=108 *(-1/2)^(n-1) (exponential decreasing)
lim if x->infinite (a(n))=0==> converges
Answer:
The of tax is $ 2812.50
Step-by-step explanation:
Given that Mary's salary is $x per year, then applying the 15% flat tax rate will give the amount paid for tax as;
15/100 *x =0.15 x -----equation (i)
After reforms , Mary still pays a tax similar to the original system. This means the amount of Mary's salary is above $7500.
Mary's amount above is the flat rate of $7500 is ;
$(x-7500)
Applying the 25% tax will give;
25/100 ( x-7500)
0.25(x-7500)
0.25x -1875 --------equation (ii)
Equating the two equations
0.15x = 0.25x - 1875
collect like terms
1875=0.25x-0.15
1875 =0.10x
Divide both sides by 0.10 to get x
1875/0.10 = 0.10x/0.10
18750 = x
The amount of Mary's salary is $18750
The amount of tax she pays is;
0.15 * 18750 =$ 2812.50
Answer:
b=20
r=15
Step-by-step explanation:
OK...
hope helpful for you
Answer:
The coordinates of M are (2,-8)
Step-by-step explanation:
The coordinates of the point that divides the line segment joining
to in the ratio m:n is given by:
If A is at (-4,-2) and B is at (4. -10) and the ratio is 3:1.
Then
The coordinates of M are (2,-8)