Sally's soccer team won 68% of the games they played.if they won 17 games, how many did they play?
2 answers:
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Given:
The first two terms in an arithmetic progression are -2 and 5.
The last term in the progression is the only number in the progression that is greater than 200.
To find:
The sum of all the terms in the progression.
Solution:
We have,
First term :
Common difference :
nth term of an A.P. is
where, a is first term and d is common difference.
According to the equation, .
Divide both sides by 7.
Add 1 on both sides.
So, least possible integer value is 30. It means, A.P. has 30 term.
Sum of n terms of an A.P. is
Substituting n=30, a=-2 and d=7, we get
Therefore, the sum of all the terms in the progression is 2985.
a.
Sally has $28.00 in her bank account and starts saving $18.25 every week.
Let x represent the number of weeks from when he have $28.00 in her account.
and y represent the amount in her account at week x;
We can write the function of the case as;
where m is the amount she saves every week, and b the initial amount in her account.
So, the function will be;
b.
Her friend Suzy has $161.00 in her bank account and is withdrawing $15 every week.
Using the same rule as in a above;
The function will be;
c.
The graph of the two functions is shown below;
d.
The point where the two lines intersect is shown in the graph above.
The point is at;
Which is at week 4 and balance $101.
e.
The point at which they intersect is the point where they both have the same values.
It is the week when both Sally and Suzy have the same amount in there account.
So, at the fourth week (week 4) Sally and Suzy both have $101 in their account
