Answer:

Step-by-step explanation:
Since the fractions are like, their denominators are 11, then
consider the values that sum to give 18 , that is
1 + 9 + ? = 18
10 + ? = 18 ( subtract 10 from both sides )
? = 8
Then the third fraction is 
Answer:
20
Step-by-step explanation:
Answer:
Tn = 2Tn-1 - Tn-2
Step-by-step explanation:
Before we can generate the recursive sequence, we need to find the nth term of the given sequence.
nth term of an AP is given as:
Tn = a+(n-1)d
If a17 = -40
T17 = a+(17-1)d = -40
a+16d = -40 ...(1)
If a28 = -73
T28 = a+(28-1)d = -73
a+27d = -73 ...(2)
Solving both equations simultaneously using elimination method.
Subtracting 1 from 2 we have:
27d - 16d = -73-(-40)
11d = -73+40
11d = -33
d = -3
Substituting d = -3 into 1
a+16(-3) = -40
a - 48 = -40
a = -40+48
a = 8
Given a = 8, d = -3, the nth term of the sequence will be
Tn = 8+(n-1) (-3)
Tn = 8+(-3n+3)
Tn = 8-3n+3
Tn = 11-3n
Given Tn = 11-3n and d = -3
Tn-1 = Tn - d... (3)
Tn-1 = 11-3n +3
Tn-1 = 14-3n
Tn-2 = Tn-2d...(4)
Tn-2 = 11-3n-2(-3)
Tn-2 = 11-3n+6
Tn-2 = 17-3n
From 3, d = Tn - Tn-1
From 4, d = (Tn - Tn-2)/2
Equating both common difference
(Tn - Tn-2)/2 = Tn - Tn-1
Tn - Tn-2 = 2(Tn - Tn-1)
Tn - Tn-2 = 2Tn-2Tn-1
2Tn-Tn = 2Tn-1 - Tn-2
Tn = 2Tn-1 - Tn-2
The recursive formula will be
Tn = 2Tn-1 - Tn-2
Answer:
9%
Step-by-step explanation:
Cost of 1/5 good = 1500*1/5= 300
Profit= 5%
SP = (profit+100)/100*CP
SP= (5+100)/100*300
SP = 105/100*300
SP= 1.05*300= 315
Cost of 4/5 good = 1500*4/5= 1200
Profit= 10%
SP= (profit+100)/100*CP
SP= (10+100)/100*1200
SP = 110/100*1200
SP= 1.10*1200= 1320
Total SP = 315+1320= 1635
Net profit= 1635-1500= 135
Profit% = 135/1500*100%
Profit% = 0.09*100%
Profit% = 9%
Answer:
Fido's decision is sensible because the cost of the car loan should be less this credit history improves
Step-by-step explanation: