The answer is the first one
Answer:
Short-Term investment: 5000$
Intermediate-Term investment: 65000$
Long-Term investment: 30000$
Step-by-step explanation:
To construct our first equation lets define sort-term bond investment as x, long-term investment as y.
So the equation is:

From the equation it is found that:

Instead of y, if we put 25000+x the equation will be as following:

From the equation it is found that:

Short-Term investment is 5000$

Long-Term investment is 30000$
Rest of the money is Intermediate-Term investment 65000$
Step-by-step explanation:
1) -5x<35
we divide both sides by 5
-5x/5<35/5
-x<7
we divide both sides by-1 to remove the negative sign
-x/-1<7/-1
x<7/-1
2) 2x>-42
we divide both sides by 2
2x/2>-42/2
x>-21
3) x/3≤-7
we multiply by 3 and we cancel 3
3(x/3)≤3(-7) we cancel the 3
x≤-21
4) x/-4≥-4
we do the same thing
x≥1
Answer:
Step-by-step explanation:
by theorem :
f continu in [1 , 2]
f(1)×f(2) < 0 because : f(1) = -1 and f(2) = 15
so the equation f(x)=0 has at least one real root between x=1 and x=2
so :
Answer:
We need a sample size of at least 719
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so 
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.
How large a sample size is required to vary population mean within 0.30 seat of the sample mean with 95% confidence interval?
This is at least n, in which n is found when
. So






Rouding up
We need a sample size of at least 719