Answer:
5/4
Step-by-step explanation:
y increases by 5 for every 4 increase of x.
Using translation concepts, the correct statements are given as follows:
- Ava's graph is vertical translation of x².
- Ava's graph has a y-intercept of 4.
- Victor's graph moves 4 units from f(x) = x² in a positive direction.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
Ava's graph is given by:
h(x) = x² + 4.
It is a vertical translation of 4 units of f(x) = x², as the change was in the range of the function. Hence, it has a y-intercept of f(0) = 0² + 4 = 4.
Victor's graph is given by:
g(x) = (x + 4)²
Which means that it moves 4 units from f(x) = x² in a positive direction.
More can be learned about translation concepts at brainly.com/question/4521517
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16q= 3.20
÷16 on both sides
and you get .20 cents per ounce.
We'll do it in cents and convert when we have to.
Tanya paid x per item, a total of 4x.
Tony paid x-125 per item (in cents) for a total of 5(x-125)
4x = 5(x-125)
4x = 5x - 625
x = 625 = $6.25
Check:
4(625) = 2500
5(625-125)=2500, same, checks
Answer: Tanya paid $6.25 per item, Tony $5.00 per item
Given:
Initial investment 450
annual simple interest rate of 5%
Simple interest = Principal * interest rate * term
Simple interest = 450 x 0.05 x 14
Simple Interest = 315
Balance after 14 years: 450 + 315 = $765
We can use compounding interest, compounded once a year.
Total balance = Principal * (1 + interest rate / number of compounding)^(# compounding * term)
Total balance = 450 * (1.05)¹⁴
Total balance = 450 * 1.98
Total balance = 891
Based on these scenarios, the formula that will be used is the second formula, compounding interest formula. The balance at the beginning of year 15 is $891.
I used 14 as the number of years because the problem states at the beginning of year 15. This means 15 has not yet begun and interest is not yet earned.
