The value of scale k is 3
Step-by-step explanation:
In order to find the scale , we can either divide the coordinates of H' by the original point or compare both the points to find the original ordered pair.
Given
H(3,4)
H'(9,12)
The coordinates of H are multiplied with some integer k to form H'
So,
<u>For x-coordinate:</u>
3k = 9
k = 9/3 = 3
<u>For y-coordinate:</u>
4k = 12
k = 12/4 = 3
Hence,
The value of scale k is 3
Keywords: Coordinate geometry, scaling
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Answer:
The graphs are missing, but we can find the inequality for this problem:
She has $60.
The price of a T-shirt is $10, the price of a sweatshirt is $14.
If T is the number of T-shirts she buys, and S is the number of sweatshirts that she buys, we have:
T + S ≥ 5 (because she wants to buy at least 5 items)
T*$10 + S*$14 < $60 (because she wants to spend under $60)
Those two inequalities define the number of T-shirts and sweatshirts that she can buy.
Answer:
ABC Fence Company charges $35 more per foot of fencing.
Step-by-step explanation:
ABC charges $35 more per foot of fencing.; The slope of each function represents the rate per foot of fencing.
Reliable Fence Company: y = $225x + $8,000 → $225 per foot of fencing. ABC Fence Company:
$29,200 − $24,000
20
= $260 per foot of fencing
$260 − $225 = $35; therefore, ABC charges $35 more per foot of fencing.
Given:
Principal value = $12000
Rate of interest = 2.5%
To find:
Total amount after 15 years.
Solution:
Formula for amount discontinuously compounded interest is

where, P is principal, r is rate of interest and t is time in years.
Substitute P=12000, r=0.025 and t=15 in the above formula.





Therefore, the amount after 15 years is $17459.897.