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irakobra [83]
2 years ago
9

Find the ratio a:b if it is givin that a/3 = b/4

Mathematics
1 answer:
wariber [46]2 years ago
3 0

Answer:

Step-by-step explanation:

Cross multiply the givens

3b = 4a         Divide both sides by 4

3b/4 = a        Now divide by b

3/4 = a/b

This can be written as

3:4 :: a:b

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Suppose total benefits and total costs are given by b(y) = 100y − 8y2 and c(y) = 10y2. what is the maximum level of net benefits
olga nikolaevna [1]
Whenever you face the problem that deals with maxima or minima you should keep in mind that minima/maxima of a function is always a point where it's derivative is equal to zero.
To solve your problem we first need to find an equation of net benefits. Net benefits are expressed as a difference between total benefits and total cost. We can denote this function with B(y).

B(y)=b-c
B(y)=100y-18y²

Now that we have a net benefits function we need find it's derivate with respect to y.

\frac{dB(y)}{dy} =100-36y

Now we must find at which point this function is equal to zero.

0=100-36y
36y=100
y=2.8

Now that we know at which point our function reaches maxima we just plug that number back into our equation for net benefits and we get our answer.

B(2.8)=100(2.8)-18(2.8)²=138.88≈139.

One thing that always helps is to have your function graphed. It will give you a good insight into how your function behaves and allow you to identify minima/maxima points.


3 0
2 years ago
Suppose you have $5000 to invest. A certificate of deposit (CD) earns 6% annual interest, while bonds, which are more risky, ear
sergij07 [2.7K]
If you have $5000 and you invest $2000 in a certificate of deposit, you have $3000 invested in the bonds. Each earns an annual interest of 6% and 8%, respectively. The total interest is shown below,
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Thus, the amount of the total interest is $360.
6 0
3 years ago
What is the solution to the equation sqrt5X-7= sqrt3X+5?<br> x = 1<br> x = 6<br> x = 12<br> x = 24
IgorC [24]

Answer:

X=6

Steps are in the picture

4 0
3 years ago
Which is one way to check 102÷6=17 A.105÷10=10.5 B.17÷6=102 C.100÷5=20 D.100×5=500
Andru [333]
Hello!

The correct answer choice should be B. but the sign should be a multiplication sign...

Hope this helps! ☺♥
8 0
3 years ago
Type in expanded form. Use parentheses to indicate multiplication.<br><br> (-3x)^4
Mumz [18]
Negative 3x over the power by four
8 0
3 years ago
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