A boat costs 16,000 and decreases in value by 14% per year. How much will the boat be worth after 11 years?
1 answer:
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Given that sequence 1.77, 1.92,2.07 is arithmetic sequence.
Using that we have to find 31st term.
To find that we can use nth term formula of arithmetic sequence which is given by:
where n is the number of term so n=31
t_n indicates nth term
a_1 is the first term so a_1=1.77
r is the common difference which is given by difference of consecutive terms
then r=1.92-1.77=0.15
Now plug these values into above formula
Hence final answer is 6.27.
Try these solutions:
<u>Task 1.</u>
a) the required angle is arctan(CG/AC);
b) according to the condition CG=AE=11.4 (cm.);
c) BC=EH=9.6 (cm.), then
d) the required angle is:
Answer: 29°
<u>Task 2.</u>
a) the required angle is EFV (see the attached picture): arctan(EV/FE);
b) to calculate FE: FE=0.5AB=7.25 (cm.);
c) to calculate EV:
d) to calculate the required angle:
m(∠EFV)=arctan(13.80996/7.25)=arctan(1.9048)≈62.302°=62°.
Answer: 62°
