Standard formula for arithmetic sequence:
an = a0 + d(n-1)
if we use the two terms given, setting a12 as starting term and a45 as the end term an.
170 = 38 + 33d
170 - 38 = 33d
132 = 33d
132/33 = d
This is the common difference, use it to find the first term.
38 = a0 + (132/33)(12-1)
38 = a0 + (132/33)(11)
38 = a0 + 132/3
38 - 132/3 = a0
38 - 44 = a0
-6 = a0
The starting term is -6
Answer:
24.2 years
Step-by-step explanation:
The basic formula is I = P * i * t, where I is interest, P is total principal (or profit), i is rate of interest per year, and t is total time in years. I = P * i * t can be rearranged to solve for t: t = I / (i * p).
In this question I = $6400, P = $3200 and i = 8.25%, so we plug in those numbers to get t = 6400 / (0.0825 * 3200), which solves to 24.2424 years.
Answer:
M= -16
Step-by-step explanation:
Thats the answer if youre doing one step equations
Answer:
5x^2-20x
Step-by-step explanation:
distribute the 5x to the x and the -4
Answer:
y = -2x + 7.
Step-by-step explanation:
The slope is (5-7)/1-0 = -2 ,
Checking with other values: slope = (- 3 - 7)/ (5-0) = -10/6 = -2.
So the function is -2x + c where c is some constant.
Plugging in the point (0, 7):
7 = -2(0) + c
c = 7.
So the answer is y = -2x + 7.
