Answer:
Step-by-step explanation:
The cash-in receipts (money going in) in Brandon's cash drawer total $823.27, and his cash-out receipts (money leaving) total $7
1 answer:
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Answer:
A
Step-by-step explanation:
a geometric sequence is where we multiply a factor from element to element.
a1 = $900
a2 = 981 = a1 × f = 900 ×
a3 = 1069.29 = a2 × f = a1 × f × f = s1 × f²
so, now let's try and get f.
remember, 981 = 900 × f
f = 981/900 = 109/100 = 1.09
just to control, we check for s3 :
900 × (1.09)² = 900 × 1.1881 = 1069.29
correct.
so,
a13 = 900 × (1.09)¹² = 2,531.398304
s13 is then the sum of all a1, ..., a13
there is a nice formula for sums of finite sequences
s13 = 900 × (1-f¹³) / (1-f) = 900×(1-(1.09)¹³) / (1-1.09) =
= 900×(1-3.065804612) / (-0.09) =
= 900×(-2.065804612) / (-0.09) = 20,658.04612
.
Answer:
The rule of translation :
The vertices of image is R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).
Step-by-step explanation:
The vertices of a rectangle are R(-5,-5), S(-6,-5), T(-1,1), U(-5,1).
It is given that a translation maps R to the point (2,-9).
Difference between x-coordinates:
Difference between y-coordinates:
The x-coordinate increased by 7 and y-coordinate decreased by 4. It means the figure shifts 7 units right and 4 units down.
The rule of translation is
The vertices of image are
Therefore, the vertices of image are R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).