Answer:
11/8 or 1 3/8 or 1.375
Step-by-step explanation:
From the information given by the question, we can form an equation:
Let us call the number 'n'
8 × n - 7 = 4
We then move the 7 to the other side, changing it from minus to plus:
8 × n = 4 + 7
So,
8 × n = 11
We divide both sides by 8, to leave n on one side of the equation.
n = 11/8
Therefore, n = 11/8 or 1 3/8 or 1.375
Based on the information, Christian would have $5525.5 of annuity.
<h3>How to calculate the annuity?</h3>
According to given information, the number of coffees per week is 3 then, per month is 3x4 = 12
For each coffee is $4.5. Then monthly expenditure for coffees is 12 x 4.5 = $54
Rate of interest r = 1.6% = 1.6/100 = 0.016 and for monthly compounding r = 0.016/12 = 0.00133
n = number of payments = 8 x 12 = 96
We can use the formula for finding the future value as below
FV = C x [ ( 1 + r )n-1 ] / ( r )
FV = 54 x [ ( 1 + 0.00133 )96 – 1 ] / (0.00133)
= 54 x [ (1.13609 - 1)] / (0.00133)
= 54 x 0.13609 / (0.00133)
= 54 x 102.3233
= 5525.5
Therefore Christian would have $5525.5 of annuity.
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Step-by-step explanation:
7(x - 3) - (x + 3)(x - 3)
(x - 3)(7 - (x + 3))
(x - 3)(7 - x - 3)
(x - 3)(4 - x)