Answer:
£38.48
Step-by-step explanation:
First, we have to find what 4% of 37 is, so our equation is:
37 x 0.04 = 1.48
Then we have to add that 4% to the original cost:
1.48 + 37 = 38.48
So the total price of the theatre ticket is £38.48
Answer:

Step-by-step explanation:
![\ln \dfrac{4y^5}{x^2}\\\\=\ln(4y^5) - \ln(x^2)~~~~~~~~~~~;\left[ \log_b\left( \dfrac mn \right) = \log_b m - \llog_b n \right]\\\\=\ln 4 + \ln y^5 - 2\ln x~~~~~~~~~~~~;[\log_b m^n = n \log_b m ~\text{and}~\log_b(mn) = \log_b m + \log_b n ]\\\\=\ln 4 + 5 \ln y -2 \ln x\\\\=\ln 4 -2 \ln x +5 \ln y](https://tex.z-dn.net/?f=%5Cln%20%5Cdfrac%7B4y%5E5%7D%7Bx%5E2%7D%5C%5C%5C%5C%3D%5Cln%284y%5E5%29%20-%20%5Cln%28x%5E2%29~~~~~~~~~~~%3B%5Cleft%5B%20%5Clog_b%5Cleft%28%20%5Cdfrac%20mn%20%5Cright%29%20%20%3D%20%5Clog_b%20m%20-%20%5Cllog_b%20n%20%5Cright%5D%5C%5C%5C%5C%3D%5Cln%204%20%2B%20%5Cln%20y%5E5%20-%202%5Cln%20x~~~~~~~~~~~~%3B%5B%5Clog_b%20m%5En%20%3D%20n%20%5Clog_b%20m%20~%5Ctext%7Band%7D~%5Clog_b%28mn%29%20%3D%20%5Clog_b%20m%20%2B%20%5Clog_b%20n%20%5D%5C%5C%5C%5C%3D%5Cln%204%20%2B%205%20%5Cln%20y%20-2%20%5Cln%20x%5C%5C%5C%5C%3D%5Cln%204%20-2%20%5Cln%20x%20%2B5%20%5Cln%20y)
Answer:
The farmer should plant 14 additional trees, for maximum yield.
Step-by-step explanation:
Given



So, we have:


Required
The additional trees to be planted for maximum yield
The function is:


Open bracket



Rewrite as:

Differentiate

Equate
to 0 and solve for x to get the maximum of x


Divide by -4

The farmer should plant 14 additional trees, for maximum yield.
<span>3x=4y=7z
so
GCF:
3 * 4 * 7 = 84
3x = 84
x = 28
4y = 84
y = 21
7z = 84
z = 12
</span><span>least possible value for
</span><span>x + y + z = 28 + 21 + 12 = 61
</span>
answer
(d) 61
The red line is a reflection across the x-axis, so the correct option is d.
<h3>
How to write the equation for the red line?</h3>
First, we know that the black line is represented by y = f(x). Here, we can see that the red line is given by a reflection around the x-axis.
This reflection only changes the sign of the right side, then we get that the function of the red line is:
g(x) = -f(x)
Then we can write this as:
y = g(x) = -f(x) = -1*f(x)
If we divide both sides by -1, we get:
y/(-1) = f(x)
Like in option d, so that is the correct one.
If you want to learn more about reflections:
brainly.com/question/4289712
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