Explicit Formula
Just in case you don't know what this is, the explicit formula is the formula that solves for any term in the series without necessarily knowing what came before the term you are solving.
<em><u>Givens</u></em>
d = t_(n + 1) - t_n You can take any term and the next term for this part of the formula
d = t_3 - t_2
t_3 = 1
t_2 = -7
d = 1 - - 7 = 8
a = -15
<em><u>Formula</u></em>
t_n = a + (n - 1)*d
t_n = -15 + (n - 1)*8
For example find the 5th term.
t_5 = - 15 + (5 - 1)*8
t_5 = - 15 + 4 *8
t_5 = -15 + 32
t_5 = 17 Which is what you have.
Recursive Formula
Computers really like this formula. They use it in what is called a subroutine and they pass values from one part of the program to a subroutine which evaluates the given and sends the result back. I'm telling you all this so you see why you are doing it. The disadvantage of it for humans is that you must know the preceding term to use the recursive formula.
<em><u>Formula</u></em>
t_n = t_(n - 1) + d
<em><u>Example</u></em>
t_6 = t_(6 - 1) + d
t_6 = t_5 + 8
t_6 = 17 + 8
t_6 = 25
You can check this by using the explicit formula.
The answer for that equation would be 281
Answer:
can be expressed as decimal: 0.025
s= 1.025* $250
= $256.25
after 8 years
s= $250* 1.025^8
~$304.6
earned $54.6
Step-by-step explanation:
2 and a half is equivilant to 2.5
because it is a % (out of 100) move the decimal 2 places down
2.5-->0.25-->0.025
so can be expressed as decimal: 0.025
interest after 1 year is:
original amount of money * (interest rate+1.0)
+1 because you are adding on to 100%. you already have 100%. if it was just the interest rate, the amount of money would go down.
so
s= 1.025* $250
=1.025* 250
=256.25
interest after 8 years,
that means you have to take the original, and multiply it by the interest rate, then the new original multiply by intrest rate a total of 8 times
to do this use an exponent, because exponents base the total off the total before them. if that makes any sense srry
s= $250* 1.025^8
~$304.6 (I used calculator)
to get her earnings, subtract the new amount of money with her original amount of money
304.6-250
=54.6
$54.6
hope this helps
The maximum profit is the highest point on the curve at (3, 45), and since the y-value is the profit in hundreds of dollars, the maximum profit is $4500.
The shop is making a profit as long as the curve is above the x-axis, so this is over the given interval (0, 10).
The maximum profit is earned at x = 3, and the x-value is the money spent on advertising in hundreds of dollars, so this means that $300 was spent of advertising.
Answer:
12.5%
Step-by-step explanation:
4 * 100 / 32 = 12.5
