Answer:
I think 16
Step-by-step explanation:
Answer:
X = 9
Step-by-step explanation:
Answer:
The correct option is
Option d. Sin θ = -√65/9 and Tan θ = -√65/4
Step-by-step explanation:
Points to remeber
Sin θ = Opposit side/ Hypotenuse
Cos θ = Adjacent side/Hypotenuse
Tan θ= Opposite side /Adjacent side
<u>To find opposite side</u>
It is given that,
Cos θ = -4/9 = Adjacent side/Hypotenuse
We can find opposite side of angle θ
opposit side ² = Hypotenuse² - adjacent side² = 9² - 4²
= 81 - 16 = 65
Opposite side = √65
<u>To find sinθ and tanθ</u>
Sin θ = Opposit side/ Hypotenuse = -√65/9
Tan θ = Opposite side /Adjacent side = -√65/4
Therefore the correct option is
Option d. Sin θ = -√65/9 and Tan θ = -√65/4
<u />
Answer:
$ 50,340.97
Step-by-step explanation:
From the above question, we can deduce that we are to find the Initial amount invested which is also called the Principal.
The formula to find Principal in a compound interest question is:
P = A / (1 + r/n)^nt
Where:
A = Total Amount obtained after invested = $80,000
r = Interest rate = 3.1% = 0.031
n = number of times interest in compounded = Quarterly = 4
t = time in years = 15
P = $80,000/(1 + 0.031/4)^4 × 15
P = $80,000/(1 +0.00775)^60
P = $ 50,340.97
Hence, James would have to invest $50,340.97 today to have $80,000 in 15 years.