Two angles are complementary: x + y = 90 (complementary = 90 degrees)
x = 2y
plug in 2y for x
2y + y = 90
3y = 90
3y/3 = 90/3
y = 30
plug in 30 for y
x = 2y
x = 2(30)
x = 60
x (the largest angle) = 60°
hope this helps
Answer: the total amount that you can earn in 15 years is $737245. Option C
Step-by-step explanation:
You receive an annual salary of $32,900 and each year, you are assured of a 5.5% raise. Assuming there was no raise, you get 100% of your previous salary each year. With a raise of 5.5%, you will get 100 + 5.5 = 105.5% of your previous salary for each year. This is a geometric progression and we want to determine the sum of 15 terms(15 years).
The formula for the sum of terms in a geometric progression is
Sn = [a(r^n - 1)]/ r - 1
Sn = sum of n terms
a = the first term
n = number of terms
r = common ratio
From the information given,
a = 32900
n = 15
r = 105.5/100 = 1.055
S15 = [32900(1.055^15 - 1)] / 1.055 - 1
S15 = [32900(2.23247649 - 1)] / 0.055
S15 = 32900 × 1.23247649) / 0.055
S15 = 737245.0277
S15 = $737245
Answer:
6(x+5)
Step-by-step explanation:
Answer:
Apparent Increase in Wave Frequency
As the ambulance approaches you, the distance between the source of the waves and the observer decreases. Consequently, the siren sounds more shrill as the pitch of the wailing siren 'sounds' higher than its original value, as sound waves reach you 'more frequently'.
Step-by-step explanation
hope this helps
Answer:
Step-by-step explanation:
3x - 4y = 13 (1)
2x + y = 5 (2)
——————
3x - 4y = 13
4(2x + y = 5) (2) times 4
——————-
3x - 4y = 13
8x + 4y = 20
——————-
11x = 33
x = 33/11
x = 3
Plug x = 3 in (2):
2(3) + y = 5
6 + y = 5
y = 5-6
y = -1
Thus, x = 3 and y = -1
