Answer:
boys + girls = 45 -------(1)
There boys 17 more than girls, boys = girls + 17 ----------(2)
substitute (2) in (1)
girls + 17 + girls = 45
2 x girls + 17 = 45
2 x girls = 45 - 17
2 x girls = 28
girls = 14
substitute in (2): boys = girls + 17 = 14 + 17 = 31
option D
Calculating surface area
Big Prism-
7*14*2=196
7*21*2=294
14*21*2=588
196+294+588=1078
Small prism
3*6*2=36
3*9*2=54
6*9*2=108
36+54+108=198
1078:198
Simplify(divide by common factors)
(Divide2)
539:99
(Divide 11)
49:9
C is your answer
Answer: Domain = {-4, -1, 0, 2, 7, 8, 13}
The domain is the set of allowed x inputs. So all we do is list the set of x values in the top row of the table.
In contrast, the range is the set of possible y outputs. So the range would be {5,2,-3,7,4,9}. Any duplicate items in the range are tossed out. Optionally you can order the set from smallest to largest, but that's not required. This is because order in a set doesn't matter.
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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3*3/5=1.8 but, idk how to represent that as a unit fraction
