If we're only counting 5 vowels (A, E, I, O, U) and 20 consonants (everything else, minus T), then there are

ways of picking the vowels, and

ways of picking the consonants.
We want the word to start with T, and we'll allow any arrangement of the other 4 letters, so that the total number of words is

Keep in mind that this means words like TRIES and TIRES are treated as different.
Answer: There are approximately 853827 new cases in 6 years.
Step-by-step explanation:
Since we have given that
Initial population = 570000
Rate at which population decreases is given by

Now,
First year =570000
Second year is given by

Third year is given by

so, there is common ratio ,
it becomes geometric progression, as there is exponential decline.
so,

a=570000
common ratio is given by

number of terms = 6
Sum of terms will be given by

We'll put this value in this formula,

So, there are approximately 853827 new cases in 6 years.
Answer:
On the x- axis
Step-by-step explanation:
Answer:
$102.96
Step-by-step explanation:
Lets take this one part at a time.
the dealership pays 12000 for the car, so they start at -12000 for how much money they have.
The dealership wants to make a 32% profit. This means they want to make back the 12000 plus 32% of that. what is 32% of 12000? just multiply 12000 bty .32 In the end it works out that the price they sell it for is 15840
I do want to mention that there is a chance the 32% might also be accounting the bonus. So in other words the dealership spent 12000 for the car then however much in paying the bonus, and they want to make a 32% profit on both of these combined. I do not think that is what it is asking for, but I wanted to mention it.
Anyway, with a sales price of $15,840 it says the bonus is 6.5% of that. to find that just do the multiplication .065 * 15840 = 1029.60. So this is the bonus normally.
Now the question says the salesperson offers a 10 percent discount. This changes the sales price (by 10%) and the bonus they earn. let's calculate both.
First 10% discount of the sales price is .9*15840 = 14,256
Then 6.5% of that is .065*14256 = 926.64 So this is the new bonus.
The question wants the difference of the two bonuses, and difference is subtraction. so 1029.60 - 926.64 = 102.96 So if the salesperson offers a 10% discount they lose $102.96