To solve this we are going to use the future value of annuity due formula:
![FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]](https://tex.z-dn.net/?f=FV%3D%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%2AP%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bkt%7D%20-1%7D%7B%20%5Cfrac%7Br%7D%7Bn%7D%20%7D%20%5D)
where

is the future value

is the periodic payment

is the interest rate in decimal form

is the number of times the interest is compounded per year

is the number of payments per year

is the number of years
We know for our problem that

and

. To convert the interest rate to decimal for, we are going to divide the rate by 100%:


Since the payment is made quarterly, it is made 4 times per year; therefore,

.
Since the type of the annuity is due, payments are made at the beginning of each period, and we know that we have 4 periods, so

.
Lets replace those values in our formula:
![FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n} )^{kt} -1}{ \frac{r}{n} } ]](https://tex.z-dn.net/?f=FV%3D%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%2AP%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7Bkt%7D%20-1%7D%7B%20%5Cfrac%7Br%7D%7Bn%7D%20%7D%20%5D)
![FV=(1+ \frac{0.1}{4} )*295[ \frac{(1+ \frac{0.1}{4} )^{(4)(6)} -1}{ \frac{0.1}{4} } ]](https://tex.z-dn.net/?f=FV%3D%281%2B%20%5Cfrac%7B0.1%7D%7B4%7D%20%29%2A295%5B%20%5Cfrac%7B%281%2B%20%5Cfrac%7B0.1%7D%7B4%7D%20%29%5E%7B%284%29%286%29%7D%20-1%7D%7B%20%5Cfrac%7B0.1%7D%7B4%7D%20%7D%20%20%5D%20)
We can conclude that the amount of the annuity after 10 years is $9,781.54
So okay, in stats when there is probability that looks like p(fem/type b) it means what is the probability that they are female given they are type b, so it would be where they intersect. Therefore where they intersect on the table is 22 out of the total of 200 people so 1/10. Now that we know that probability let's look at the "or" one, when it says or it means it could be a female or a type b so we would include both totals of each:
97 females+70 type b= 167
now we divide that by the total amount of people so it simplifies down to a probability of 0.835.
Finally, looking at these 2 probability we can see that the "or" probability is far greater than the one previous discussed so it would be the last option if I remeber correctly!!
The answer is D since if a variable x was +4, then it is inverses to -4 and it would be reflected upon the vertical line, which happens to be the y axis
Answer:
About 3
Step-by-step explanation:
Since all real life objects have three dimensions, if you increase the dimensions of an object by a certain factor, the object's volume is greater by the factor cubed.
1500*x^3=45000
x^3=30
x is about 3
Hope this helps!