For Geometric sequence, the next term is multiplied by the common ratio.
Common ratio, r = 1/4
1st term, a = 96
2nd term = ar = 96*1/4 = 24
3rd term = ar² = 96*(1/4)*(1/4) = 6
Sum of the first three terms = 96 + 24 + 6 = 126
Answer:
Option C is correct
Step-by-step explanation:
In similar triangles corresponding sides are in same ratio.
Notice that sides b and q are corresponding ( they are opposite equal angles) and so are a and p
Answer:
-3a+8
Step-by-step explanation:
f(a)=-2a +5
s(a)= a-2-2a=-a+2
We are asked to determine
f(a) +g(a)
= (-2a +5)+ (-a+2)
=-2a+5-a+2
=-2a-a+5+2
=-3a+8
Let x dollars be your investment at 7%;
then the investment at 3% is the rest (1000-x) dollars.
The total interest equation is
0.07x + 0.03*(1000-x) = 0.061*1000.
Express x and calculate
x = %280.061%2A1000-0.03%2A1000%29%2F%280.07-0.03%29 = 775.
ANSWER. $700 is the 7% investment; the rest, (1000-775) = 225 dollars is the 3% investment.