Image is missing, so i have attached it.
Answer:
AC = 10sin 40°
Step-by-step explanation:
From the diagram attached, using terms in trigonometric ratio, AC is the opposite side, BC is the adjacent side and AB is the hypotenuse.
Thus, since we want to find AC;
We know that in trigonometric ratios; opposite/hypotenuse = sin θ
In the diagram, θ = 40° and AB = 10
Thus,
AC/10 = sin 40°
Multiply both sides by 10 to get;
AC = 10sin 40°
Given:


To find:
The value of
.
Solution:
We have,


Using properties of log, we get
![\left[\because \log_a\dfrac{m}{n}=\log_am-\log_an\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbecause%20%5Clog_a%5Cdfrac%7Bm%7D%7Bn%7D%3D%5Clog_am-%5Clog_an%5Cright%5D)
![[\log x^n=n\log x]](https://tex.z-dn.net/?f=%5B%5Clog%20x%5En%3Dn%5Clog%20x%5D)
Substitute
and
.



Therefore, the value of
is
.
Answer:
14.5 years.
Step-by-step explanation:
Given that you invest $150 at 7% interest compounded annually. Now we need to find about in how many years will you have $400. Then round the answer ot the nearest tenth of a year.
So plug the given values into compound interest formula.








Which is approx 14.5 years.
Your answer would be 23.85 but I presume they rounded up so it would be 23.9
Answer:
D
Step-by-step explanation:
Ngl I was confused for a minute. But domain is asking for the x-values and range is asking for the y-values.
You can see the points on the graph are (-4,1), (-2,2), (0, 3), and (2,4).
Because it is asking for the domain, it is asking for the X VALUES of the points you have found above. So the answer is {-4, -2, 0, 2}
So none of those answers look quite right
The reason I picked D is because it is the only one that contains the x values we picked. The rest have numbers outside the domain, such as 3, 4, 5, etc.