Using cos addition formula:
use x for theta
cos(x+π/6)=cosx*cos(π/6)-sinx*sin(π/6)
sinx=1/4
cosx=√15/4
cos(π/6)=√3/2
sin(π/6)=1/2
cos(x+π/6)=(√15/4*√3/2)-(1/4*1/2)
cos(x+π/6)=(√45/8)-(1/8 )
cos(x+π/6)=(√45-1)/8)
Answer:
87.5 percent
Step-by-step explanation:
when you have to increase a number by 50 percent you are multiplying it by 1.5
later when you increase the number by 25 percent you multiply it by 1.25
you can multiply 1.5 by 1.25 to get your answer
1.5 * 1.25 is 1.875
so the percent increase is 87.5 percent
Answer:
-10, -33, -125, -493, -1965
Step-by-step explanation:
a1 is -10, meaning the first term is -10. therefore the first term of the sequence has to be -10
Answer:
Step-by-step explanation:
A)Initial amount deposited into the account is $6500 This means that the principal is P, so
P = 500
It was compounded daily. This means that it was compounded 360 times in a year. So
n = 360
The rate at which the principal was compounded is 3%. So
r = 3/100 = 0.03
It was compounded for 5 years. So
t = 5
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years. Therefore
A = 6500 (1+0.03/360)^360×5
A = 6500 (1+0.00008333333)^360×5
A = 6500 (1.00008333333)^1800
A = $7551.70
B) The interest earned is Total amount earned - principal. It becomes
7551.7 - 6500 = $1051.7
It is most likely B because they sold 7 more today. C is probably the second most likely but either less daisy’s will need to be sold or 6 more lily’s will need to be sold so go with B
