Answer:
- after week 7: 4374 pennies
- 486 pennies: after week 5
Step-by-step explanation:
The sequence values have a first term of 6 and a common ratio of 3, so can be described by the formula ...
an = 6·3^(n-1)
This can be rearranged to ...
an = 2·3^n
__
When n=7, the value is ...
a7 = 2·3^7 = 4374 . . . . pennies saved after 7 weeks
__
To find when there are 486 pennies saved, we can solve the equation ...
486 = 2·3^n
243 = 3^n
log(243) = n·log(3) . . . . . . . take the logarithm
log(243)/log(3) = n = 5 . . . . divide by the coefficient of n
Tabitha will have saved 486 pennies after 5 weeks.
By using the process of elimination, the answer is A.
Answer: [c, ∞)
<u>Step-by-step explanation:</u>
Range is all of the y-coordinates.
The parabola is upright (∪) because the coefficient of x² is positive.
So the minimum value is at "c" and the parabola tends toward infinity.
Range: y ≥ c <em>in Interval Notation</em>: [c, ∞)
The total number of customers who took the survey was 320. You can write it out like this :
45 144
—- = ——
100 ?
Then you can cross multiply (144 x 100 = 14,400) then divide that answer by 45 (14,400 \ 45 ) The answer you get it 320!!
Answer:
Slope <em>m</em> = -3
y-intercept (0, 0)
General Formulas and Concepts:
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
y = -3x
<u>Step 2: Break Function</u>
<em>Identify Parts.</em>
Slope <em>m</em> = -3
y-intercept <em>b</em> = 0
