The formula required is:
where A is the amount after t years of the principal P invested at an annual interest rate r (expressed as a decimal fraction) compounded n times per year.
Plugging in the given values, we get:
The final amount is $22,096.17
Answer:
Mode: 5 and 8
Median: 6.5
Step-by-step explanation:
Mode - the number that appears the most in a set of data. There may be no mode ( when no number out numbers the others) or multiple modes ( multiple numbers appear the same number of times). Both 5 and 8 appear twice in this set.
Median - The middle number. To start, order your numbers from least to greatest.
1, 3, 5, 5, 8, 8, 10, 14
You have an even set of numbers (8 in total), which means there won't be one number left in the middle. In this situation, there are two: 5 and 8. So you just need to add them together and divide by 2
8 + 5 = 13
13/ 2 = 6.5
Hi there!
PART A:
The system of equations we would use would be:
x + y = 22 (amount of items)
3x + 1y = 30 (cost)
Variables:
x = the amount of strawberry wafers bought at the price of $3
y = the amount of chocolate wafers bought at the price of $1
PART B:
To solve, we'll use substitution because we can easily isolate a variable using the first equation.
Work:
x + y = 22 (first equation)
y = 22 - x (isolating a variable)
3x + 1y = 30 (second equation)
3x + (22 - x) = 30 (substituting into the second equation)
2x + 22 = 30 (simplifying)
2x = 8 (subtracting)
x = 4 strawberry wafers
4 + y = 22 (substituting x into the first equation to solve for y)
y = 18 chocolate wafers
ANSWER:
They bought 4 strawberry wafers and 18 chocolate wafers.
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
(v+4)t=66
t=66/(v+4)
...
(v-4)t=42, using t found above in this equation gives you:
66(v-4)/(v+4)=42 perform indicated multiplication on the left side
(66v-264)/(v+4)=42 multiply both sides by (v+4)
66v-264=42v+168 add 264 to both sides
66v=42v+432 subtract 42v from both sides
24v=432 divide both sides by 24
v=18
So his normal bicycling speed with no wind is 18 mph.
Answer:
Part A: 25%
Part B: 40%
Step-by-step explanation:
Given the following questions:
$240000 for a studio apartment
$60000 as a down payment.
In order to find the answer, we use the formula to calculate the percentage for the total cost of the studio apartment and the down payment.
<u>Part A:</u>
<u>Part B:</u>
The percent of a down payment of $60,000 for a $240,000 studio apartment is "25%." While the percent of a $96,000 dollar down payment for a $240,000 studio apartment is "40%."
Hope this helps.
