3. These lengths give a pattern 1, 2, 3, 4, ..., 10,
which is an AP with first term 1 and common difference 1.
4. Sum of first ten terms
= 1 + 2 + 3 + ... +10 = 55
(1)
Area of the shaded region
(area of rectangle ABCD)
==x10x11, which is same as obtained in (1) above. This shows that the
sum of the first 10 natural numbers is
This can be generalised to find the sum of first n
atural numbers as
5.- (+1)
(2)
NCS
e repub TV
OBSERVATION
For n = 4,S.
For n = 12, S. =
For n = 50, S =
For n = 100, S.
Conclusion

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

b). 4320 have a nice day

( - 4 , -7 )

all the lines must parallel  

step-by-step explanation:

coordinates of c = ( - 1 , 2 )

3 units left = ( -4 , 2 )

9 units down = ( - 4 , 11 )