Step-by-step explanation:
24:X::36:12
( product of means = product of extremes )
24×12=36×x
288=36x
288/36=X
8=X. Answer
hope it helps
Answer:
y = 2x-3
Step-by-step explanation:
We have 2 points so we can find the slope
m = (y2-y1)/(x2-x1)
= (1--3)/(2-0)
= (1+3)/(2-0)
=4/2
= 2
The y intercept (where x=0) is -3
We can use the slope intercept form of the equation
y= mx+b where m is the slope and b is the y intercept
y = 2x-3
Answer:
Korey expects to make in profits in his fifth year of operation : 15149.73 dollars
Step-by-step explanation:
the first year : 1000 *12=12000
for the nest four years :12000(1+0.06)^4 = 15149.73
Korey expects to make in profits in his fifth year of operation : 15149.73
This can be solved in two ways: With heavy tools or with just algebra.
What is your level? Have you studied calculus?
With pure algebra:
We need to find the maximum of the function <span>h = −16t^2 + 36t + 5
Lets take out -1 for simplicity:
</span><span>h = −(16t2 - 36t - 5)
For now lets just work with this: </span>16t^2 - 36t - 5
16t^2=(4t)^2
(4t-x)^2= 16t^2-2*4xt+x^2
we have -36t so x should be 4.5 as 2*4*4.5=36
Lets see what we have now:
16t^2 - 36t - 5= (4t-4.5)^2 is this true? No but close
(4t-4.5)^2= 16t^2- 2*4*4.5t +4.5^2= 16t^2-36t+20.25
16t^2 - 36t - 5 and 16t^2-36t+20.25 nearl the same just take away 25.25 from the right hand side
Getting long, just stay with me:
16t^2 - 36t - 5= (4t-4.5)^2 - 25.25
h= -{(4t-4.5)^2 -25.25}
h=-(4t-4.5)^2 + 25.25
We want to find the maximum of this function. -(4t-4.5)^2 this bit is always negative or 0, so it maximum is when it is 0. Solve: 4t-4.5=0
t=1,125
Answer:
542
Step-by-step explanation:
We are required to find the sample size at 98% confidence interval in this question
E = 0.04
P* = 20% = 0.20
n = p* x (1-p)(Zα/2÷E)²
α = 1 - 0.98
= 0.02
To get Critical value
= 0.02/2 = 0.01
The critical value at 0.01 is 2.33
Inserting values into formula:
O.2 x 0.8(2.33/0.04)²
= 0.8 x 0.2 x 58.25²
= 542.89
The value of n must be an integer therefore the answer is 542.
