Answer: If the time is 3 1/2 years (most reasonable assumption)
Her initial deposit was $160
Step-by-step explanation: The basic formula for simple interest is
<em>i = prt i </em>is interest, P is principal (deposit) r is the percentage (converted to a decimal) and t is time, the number of years.
For this question, you have to rearrange the equation to solve for p.
So divide both sides by rt and you have
p = i/rt
Substitute the values given
p = 36.40/(0.065)(3.5)
Answer:
2n - 11
Step-by-step explanation:
Note there is a common difference d between consecutive terms of the sequence, that is
d = - 7 - (- 9) = - 5 - (- 7) = - 7 + 9 = - 5 + 7 = 2
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 9 and d = 2, thus
= - 9 + 2(n - 1) = - 9 + 2n - 2 = 2n - 11
Using the combination formula, and considering that the list has 6 ingredients, it is found that 20 groups of 3 different ingredients can go on a taco.
The order in which the ingredients are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.
<h3>Combination formula:
</h3>
is the number of different combinations of x objects from a set of n elements, given by:
In this problem, 3 ingredients are chosen from a set of 6, hence:

20 groups of 3 different ingredients can go on a taco.
To learn more about the combination formula, you can take a look at brainly.com/question/25990169
Answer:

Step-by-step explanation:
You need at least $90 dollars, so x will be bigger than or equal to that amount.
Your parents don't want to give you more than $150 dollars so x is smaller than or equal to that amount.
The prisoners could do a pattern that could signal who has already been in the room. So for example, one light off, both lights off, one light on, both lights off. But with left and right lights to make the sequence last as long as possible. Then after that sequence to have the last one be the signal that everyone has been in there. I dunno this is tricky lol