Answer:
Option A. 5
Step-by-step explanation:
From the question given above, the following data were obtained:
First term (a) = –3
Common ratio (r) = 6
Sum of series (Sₙ) = –4665
Number of term (n) =?
The number of terms in the series can be obtained as follow:
Sₙ = a[rⁿ – 1] / r – 1
–4665 = –3[6ⁿ – 1] / 6 – 1
–4665 = –3[6ⁿ – 1] / 5
Cross multiply
–4665 × 5 = –3[6ⁿ – 1]
–23325 = –3[6ⁿ – 1]
Divide both side by –3
–23325 / –3 = 6ⁿ – 1
7775 = 6ⁿ – 1
Collect like terms
7775 + 1 = 6ⁿ
7776 = 6ⁿ
Express 7776 in index form with 6 as the base
6⁵ = 6ⁿ
n = 5
Thus, the number of terms in the geometric series is 5.
Answer:
Cesar's amount can be expressed by x + 12.12
Dalila's amount can be expressed as x - 22.88
Step-by-step explanation:
If Carmen raised 12.12.less than Cesar, that means his amount is 12.12 more than hers so that is <u>x + 12.12</u> for <u>Cesar</u>.
If Cesar raised 35 more than Dalila, her amount is Cesar's minus 35. Calculate: x+12.12 - 35. the difference is 22.88 less than x so the amount for <u>Dalila is x- 22.88</u>
Answer:
The answer to both photos is 1.
Step-by-step explanation:
Rise over run is looking at each plotted point on the graph and counting upward until level with the first point from zero, then going across the graph until you reach the plotted point.
The rise for the first picture is 3/1, and if you reverse them, you get, (1, 3).
- Hope this helps, good luck.
Answer: $200
Step-by-step explanation
Principal = $2000
Rate = 15%
Time = 8 months = 8/12 = 2/3 years
Interest = Principal × Rate × Time
= 2000 × 15% × 2/3
= 2000 × 15/100 × 2/3
= $200
The interest is $200
9514 1404 393
Answer:
4.5
Step-by-step explanation:
The value of x that makes f(x) = -3 is ...
4/3x -9 = -3
4/3x = 6 . . . . . . add 9
x = 6(3/4) = 18/4 = 9/2 = 4.5 . . . . multiply by 3/4
f^-1(-3) = 4.5
