Answer: The answer is 8.
Step-by-step explanation: The first step is to convert the expression into figures. We shall call the unknown number Y. So if we are told “the square of a number,” that means Y squared, or better still, Y^2. Further we are told “the difference between the square of a number and 40” and that can be written as;
Y^2 - 40.
Next we are told that this expression is equal to 3 times that number (that is 3Y). That can now be written out as follows,
Y^2 - 40 = 3Y
If we move all expressions to one side of the equation, what we would have is,
Y^2 - 3Y -40 = 0
(Remember that when a positive value crosses to the other side of an equation it becomes negative and vice versa)
We now have a quadratic equation
Y^2 -3Y - 40 = 0
By factorizing we now have
(Y -8) (Y + 5) = 0
Therefore Y - 8 = 0 or
Y + 5 = 0
Hence, Y = 8 or Y = -5
Since we are asked to calculate the positive solution, Y = 8
Answer:
$618
Step-by-step explanation:
$1854 divided by 18 months = $103 per month
$103 x 12 months = $1236 paid in one year.
$1854originally owed - $1236 paid in a year = $618 still owed after one year of payments.
Answer:
$48.87
Step-by-step explanation:
Let the deposited amount between the March 15th and the March 20th be x
Balance on 15th march = $56.75
The bank returned all the cancelled checks but too. One check was for $5 and the other was for $13.25
And he also deposited x amount
After deposits and deductions
So, balance = 56.75 +x - (13.25+5)
The new balance on 20th march = $87.37
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Hence Carlos deposited $48.87 in his account between the March 15th and the March 20th.
Answer:10 is the area
Step-by-step explanation:
By AAS congruency the two triangles are congruent
