Answer:
1. x = 2√3 or 3.46
2. y = 4√3 or 6.93
3. z = 4√6 or 9.80
Step-by-step explanation:
1. Determination of the value of x.
Angle (θ) = 60°
Opposite = 6
Adjacent = x
Tan θ = Opposite /Adjacent
Tan 60 = 6 / x
√3 = 6/x
Cross multiply
x√3 = 6
Divide both side by √3
x = 6 / √3
Rationalise
x = (6 / √3) × (√3/√3)
x = 6√3 / 3
x = 2√3 or 3.46
2. Determination of the value of y.
Angle (θ) = 60°
Opposite = 6
Hypothenus = y
Sine θ = Opposite /Hypothenus
Sine 60 = 6/y
√3/2 = 6/y
Cross multiply
y√3 = 2 × 6
y√3 = 12
Divide both side by √3
y = 12/√3
Rationalise
y = (12 / √3) × (√3/√3)
y = 12√3 / 3
y = 4√3 or 6.93
3. Determination of the value of z.
Angle (θ) = 45°
Opposite = y = 4√3
Hypothenus = z
Sine θ = Opposite /Hypothenus
Sine 45 = 4√3 / z
1/√2 = 4√3 / z
Cross multiply
z = √2 × 4√3
z = 4√6 or 9.80
50$ per month for 12 years would mean she spent only (50 x 12) 600$ per year.
She actually spent $711, her forecast was off target by (600-7111) $111.
She exceeded her budget by $111
Answer:
Step-by-step explanation:
The answer is A
Answer:
$2.62
Step-by-step explanation:
A = p(1 + r/n)^nt
p = principal
r = rate, change to a decimal
n = number of times it is compounded per year
t = time in years
A = 10,000(1 + .055/12)^(12*(44/12))
Since the time is in months and the formulas is in years, I put the (44/12) to represent the time. This will actually simplify to 44.
A = 10,000(1 + .055/12)^(44)
A = $ 12,228.77
