Answer:
The largest possible value of n is 11.
(A) is correct option.
Step-by-step explanation:
Given that,
The number with at least two digits,the last number was removed. The resulting number was n smaller than the previous one.
We need to find the largest possible value of n
Using given data,
The smallest number of two digit is 10.
Now, we removed last digit then we get 1 which is equal to 10 divided 10.
So, n = 10
But the largest number of two digit is 99.
We removed last digit then we get 9 which is equal to 99 divided 11.
So, n = 11
Hence, The largest possible value of n is 11.
(A) is correct option.
The answer is $72
because if you subtract the discount by 96 you get 72
Initial cost of the jet ski = $925
Percentage of depreciation per year = 15%
Number of years after which the cost of the jetski has to be determined = 7
Then
Depreciated Value = Initial cost( 1 - percentage of depreciation) ^number of years
= 925( 1 - 15%)^7
= 925( 1 - 15/100)^7
= 925(1 - 0.15)^7
= 925(0.85)^7
= 925 *(0.85)^7
= 925 * 0.3206
= 296.53 dollars
So the depreciated cost of the jet ski after 7 years will be $296.53
Answer: 31 : 9
Step-by-step explanation:
Assume the following:
Alice's amount = P
Bob's amount = Q
Amount received = n
If Alice receives $n$ dollars from Bob ;then she will have $4$ times as much money as Bob.
P + n = 4(Q - n)
P + n = 4Q - 4n
P = 4Q - 4n - n
P = 4Q - 5n - - - - (1)
If, on the other hand, she gives $n$ dollars to Bob, then she will have $3$ times as much money as Bob
P - n = 3(Q + n)
P - n = 3Q + 3n
P = 3Q + 3n + n
P = 3Q + 4n - - - - - - (2)
Equating both equations - (1) and (2)
4Q - 5n = 3Q + 4n
4Q - 3Q = 4n + 5n
Q = 9n
Express P in terms of n, use either equation (1) or (2)
From equation 2:
P = 3Q + 4n
Substituting Q = 9n
P = 3(9n) + 4n
P = 27n + 4n
P = 31n
Alice's amount = P, Bob's = Q
Ratio = P:Q
31 : 9
The correct answers are A and D
