Answer:
Part A
it uses a geometric sequence because it shares the same ratio.
Part B
it would take aurora 64 minutes to complete station 5 since every station the time doubles from the station before
Part C
it will take 512 minutes to complete station 8.
Step-by-step explanation:
took test
If y=0, then 0 = 2x - 8
8 = 2x
4 = x
A=P (1+r/n)^nt
A= Total amount invested, P=principal amount, r=Interest rate, n=number of time in a year when the interest is earned (for annual, n=1; for semi-annual, n=2, ...), t = time in years
In the current scenario, case 1, n=2; case 2, n=1 and A1=A2, t1=t2
Therefore,
800(1+0.0698/2)^2t = 1000(1+0.0543/1)t
Dividing by 800 on both sides;
(1+0.0349)^2t = 1.25(1+0.02715)^t
(1.0349)^2t = 1.25(1.02715)^t
Taking ln on both sides of the above equation;
2t*ln (1.0349)= ln 1.25 + t*ln (1.02715)
2t*0.0343 = 0.2231+ t*0.0268
0.0686 t = 0.2231+0.0268 t
(0.0686-0.0268)t = 0.2231
0.0418t=0.2231
t=5.337 years
Therefore, after 5.337 years or 5 years and approximately 4 months, their value of investments will be equal.
This value will be,
A=800(1+0.0698/2)^2*5.337 = $1,153.76
First you need to get d alone. so subtract 13c from t and then flip the signs to make d positive so 13c-t=d
Answer:
C
Step-by-step explanation:
the line of C follows the dots
