At the beginning of the year, Noah had $90 in savings and saved an additional $10 each week thereafter. Jace started the year with $50 and saved $20 every week. Let NN represent the amount of money Noah has saved tt weeks after the beginning of the year and let JJ represent the amount of money Jace has saved tt weeks after the beginning of the year. Graph each function and determine the number of weeks after the beginning of the year until Noah and Jace have the same amount of money saved.
Answers
Answer:
Noah and Jace will have the same amount of money saved 4 weeks after the beginning of the year. This is the point of intersection on the graph of the two functions.
Step-by-step explanation:
To graph the functions that represent the amount of money Noah and Jace have saved, we can set up their savings functions as follows:
Noah's savings function (NN):
NN(tt) = $90 (initial savings) + $10 (weekly savings) * tt
Jace's savings function (JJ):
JJ(tt) = $50 (initial savings) + $20 (weekly savings) * tt
Now, let's graph these functions:
Noah's Savings Function (NN):
Initial savings (y-intercept): $90
Weekly savings rate (slope): $10
Jace's Savings Function (JJ):
Initial savings (y-intercept): $50
Weekly savings rate (slope): $20
To find the number of weeks after the beginning of the year until Noah and Jace have the same amount of money saved, we can set the two functions equal to each other and solve for "tt":
NN(tt) = JJ(tt)
$90 + $10 * tt = $50 + $20 * tt
Now, solve for "tt":
$90 - $50 = $20 * tt - $10 * tt
$40 = $10 * tt
tt = $40 / $10
tt = 4
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84°
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Answers
The measures of RST in degrees is 120degrees
Lines and angles
From the given diagram, the following expression is true
<RST = 78 + 3x - 12
Since <RST = 6x +12, hence;
6x + 12 = 66 + 3x
3x = 54
x = 18
Find the measure of <RST
<RST = 6(18) + 12
<RST = 120degrees
Hence the measure of RST in degrees is 120degrees
Learn more on line and angles here: brainly.com/question/25770607
Answer:
The measure of angle RST is
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
-----> equation A
-----> equation B
equate equation A and equation B
The measure of angle RST is equal to
C. 4.24
D. 34.26
Answers
The answer is C) 4.24
4% + 7% = 11%
to get 11% of 38.50 you move the decimal two spaces to the left on the percent and multiply that number by the other number.
11% ---> .11
38.50 x .11= 4.24.
I hope this answer gave you a better understanding on how to work with percentages! :) Have a good day :)
12cm 12cm 6cm 6cm
Answers
Answer:
The perimeter of a rectangle with the sides
12cm 12cm 6cm 6cm
would have a perimeter of 36cm
Step-by-step explanation:
Answers
solve for x
what are the steps
Answers
3[(x/3)+5]=[2x-70]3
x+15=6x-210
+210 +210
x+225=6x
-x -x
5x=225
x=45
(1, 4), (2, 6), and (3, 7)
B.
(1, 4), (2, 8), and (3, 12)
C.
(3, 7), (5, 9), and (7, 10)
D.
(3, 7), (5, 9), and (7, 11)
Answers
Answer:
d
Step-by-step explanation: