Step-by-step explanation:
Since it is given that it costs $2.34 for every $1000 face value, and it was given that he wanted to buy a $75000 plan, multiplying $2.34 by 75 (75000 includes 75 $1000 face value), it should yield us the annual premium.
2.34 * 75 = $175.50
We don't need to multiply it by 10 years as only the annual premium is being solved for.
Answer: p = -4
Step-by-step explanation:
9-4(2p-1) = 45
9-8p+4 = 45
13-8p = 45
-8p = 45 - 13
-8p = 32
p = -(32/8)
p = -4
Let
be the unknown number. So, three times that number means
, and the square of the number is 
We have to sum 528 and three times the number, so we have 
Then, we have to subtract this number from
, so we have

The result is 120, so the equation is

This is a quadratic equation, i.e. an equation like
. These equation can be solved - assuming they have a solution - with the following formula

If you plug the values from your equation, you have

So, the two solutions would be


But we know that x is positive, so we only accept the solution 
Answer:
Internal validity
Step-by-step explanation:
The internal validity here is weak
Internal validity describes the extent to which an evidence weighs the cause and effect claim. In this study, the internal validity that brought about failure in the new exam is mainly due to the environment where the exam was written and not the new exam itself.
So this validity is weak in claiming that the new exam is not a good substitute for the old exam.
Putting them in the same good environment might help the researchers to draw a better conclusion.
We want to know the time, <em>t</em>, it takes the ball to reach a height (<em>y</em>) of 0.

We can factor out the GCF first. The largest number that will divide evenly into 16 and 24 is 8. Also, both terms have a <em>t</em>, so we can factor that out as well:

(-16/8 = -2 and 24/8 = 3)
Using the zero product property, we know that either 8t=0 or -2t+3=0. Solving the first equation, we would divide both sides by 8:
8t/8=0/8
t=0
This is at 0 seconds, before the ball is in the air at all.
Solving the second equation, we start by subtracting 3 from both sides:
-2t+3-3=0-3
-2t=-3
Now we divide both sides by -2
-2t/-2=-3/-2
t=1.5
After 1.5 seconds, the ball will hit the ground again.