What we know is that he started with $605,000 and after 6 years, he used $300,000. So, we just subtract what he had originally by what he used and get $305,000. We can now make the equation as follows:

300,000=6x, where x is the amount of money he spent in one year. This equation simplifies to x=50,000, which is the amount of money he spent in one year.

Since the question asks us to tell how long it will take him to reach $100,000 in savings, we can make the equation using previous value we have found:

100,000=305,000-50,000x, where x is the number of years passed.

So, this equation solves to -205,000=-50,000x, or x=4.1

I'm not sure how you want to express your answer, but it took him 4.1 years on top of the 6 years already passed to reach $100,000. This mean 10.1 years in total.

Hope this helps!

7 0

3 years ago

Tristan is an administrator for a private nonprofit college and read a surprising statistic that 74% of graduates from private n

STatiana [176]

Answer: $H_0: p=0.74\\\\ H_a:p$

Step-by-step explanation:

Let p be the population proportion for the graduates from private nonprofit colleges in the region had at least one outstanding student loan at the time of graduation.

Given : Tristan is an administrator for a private nonprofit college and read a surprising statistic that 74% of graduates from private nonprofit colleges in the region had at least one outstanding student loan at the time of graduation.

i.e. $p=0.74$

He believes that percentage is high and claims that the proportion of graduates at his college is less than the regional rate.

i.e. $p$

Since, the null hypothesis is a statement which always takes equal sign or generally shows " no difference " where as alternative hypothesis takes unequal signs.

Then, the null and alternative hypotheses for this hypothesis test :-

$H_0: p=0.74\\\\ H_a:p$

6 0

3 years ago

Find the perimeter of the triangle shown using the Associative proprety. 4 1/2 in 5 1/2in 6 in

torisob [31]

So assumn that the measures given are the legnths of the sides
perimiter=side1+side2+side3
so
side1=4 and 1/2
side2=5 and 1/2
side3=6
subsitute
p=(4+1/2)+(5+1/2)+(6)
associative prpoerty says (a+b)+c=a+(b+c) (it deals with addiont with parenthasees)
p=4+1/2+5+1/2+6
p=4+5+1/2+1/2+6
p=9+1+6
p=10+6
p=16 inches

3 0

3 years ago