Answer:
y = 5√3
x = 10√3
Step-by-step explanation:
From the given sides
Adjacent = 15
Opposite = y
Hypotenuse = x
Angle of depression = 30degree
Using the SOH CAH TOA identity
tan theta = opp/adj
tan 30 = y/15
y = 15tan30
y = 15(1/√3)
y = 15√3/3
y = 5√3
Similarly
cos theta = adj/hyp
cos 30 = 15/x
x = 15/cos30
x = 15 /√3/2
x = 30/√3
x = 30√3/3
x = 10√3
Answer:
The required interest rate would be of 3.4% a year.
Step-by-step explanation:
The amount of money earned in compound interest, after t years, is given by:

In which P(0) is the initial investment and r is the interest rate, as a decimal.
Peyton is going to invest $440 and leave it in an account for 5 years.
This means that 
So


What interest rate, to the nearest tenth of a percent, would be required in order for Peyton to end up with $520?
This is r for which P(t) = 520. So


![\sqrt[5]{(1+r)^5} = \sqrt[5]{\frac{52}{44}}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%281%2Br%29%5E5%7D%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7B52%7D%7B44%7D%7D)


Then

The required interest rate would be of 3.4% a year.
Answer:
A
Step-by-step explanation:
13.5 because 4.5 times 3 is 13.5
Answer:
A = 1.0 L
B = 0.50 atm
C = 0.60 atm
D = 4.0 L
Step-by-step explanation:
According to the Boyle's law, the volume of a gas is inversely proportional to its volume. If we consider an initial state (1) and a final state (2):
P₁ × V₁ = P₂ × V₂
A
P₁ × V₁ = P₂ × V₂
1.5 atm × 2.0 L = 3.0 atm × A
A = 1.0 L
B
P₁ × V₁ = P₂ × V₂
1.5 atm × 2.0 L = B × 6.0 L
B = 0.50 atm
C
P₁ × V₁ = P₂ × V₂
1.5 atm × 2.0 L = C × 5.0 L
C = 0.60 atm
D
P₁ × V₁ = P₂ × V₂
1.5 atm × 2.0 L = 0.75 atm × D
D = 4.0 L