Answer:
see explanation
Step-by-step explanation:
consecutive even integers have a difference of 2 between them
for example 2, 4, 6 are 3 consecutive even integers
In general if we let the first integer be k then the next 2 integers are
k + 2 and k + 4
the sum of these equals 4 times the first integer, that is 4k, hence
k + k + 2 + k + 4 = 4k
3k + 6 = 4k ( subtract 3k from both sides )
6 = k
the 3 consecutive integers are
k = 6
k + 2 = 6 + 2 = 8
k + 4 = 6 + 4 = 10
that is 6, 8 and 10
note that sum = 6 + 8 + 10 = 24
and 4 × 6 = 24
confirming the sum of the 3 integers equals 4 times the first integer
Answer: $139390 must be paid back.
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = amount to be played back at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount borrowed.
From the information given,
P = 41000
r = 8.5% = 8.5/100 = 0.085
n = 1 because it was compounded once in a year.
t = 15 years
Therefore,
A = 41000(1 + 0.085/1)^1 × 15
A = 41000(1 + 0.085)^15
A = 41000(1.085)^15
A = $139390
The statistical test that would be most appropriate determine the answer the researcher is interest in knowing is a chi-square test.
<h3>
What is a chi-square test?</h3>
A chi-square test is a statistical test used to test the relationship between categorical variables. It is used to determine the difference between the expected data and the observed data is due to chance.
Chi squared = 
Where:
= observed value
= expected value.
The researcher is interested in knowing if the response to lowering the legal age for drinking alochol (observed value)) varies by gender (expected value). Thus, a chi-square test would be used.
To learn more about chi-square, please check: brainly.com/question/14082240
Answer:
$75
Step-by-step explanation:
50+75=125
125 x 0.6= 75
Steve gives 75 dollars to his mother
You need to add the number of blocks or lines are betweenhem.
