Answer:
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Step-by-step explanation:
If the rule for this pattern is add 3, you would take term 1 which had 5 dots then add 3, that makes term 2 have 8 dots, than add 3 that means term 3 has 11 dots, term four would have 14, and each term after that would have 3 more
The balance in Yolanda's saving plan after 14 years is; $9,455.36
<h3>How to calculate future value?</h3>
We want to find the balance in Yolanda's saving plan after 14 years.
For Yolanda;
PV = 0
PMT = 250
i% = 4%/12 = 0.33%
N = 14 yrs * 12 = 168
FV = ?
For Zach:
PV = 0
PMT = $3300
i% = 4%
N = 14 yrs
FV = ?
From online future value calculator, we have;
Yolanda FV = $9,455.36
Zach FV = $47,204.19
Read more about Future Value at; brainly.com/question/24703884
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Answer:
(x, y, z) = (4, -3, 2)
Step-by-step explanation:
I. -2x + y + 6z = 1
II. 3x + 2y + 5z = 16
III. 7x + 3y - 4z = 11
use I and II. cancel out a variable
-2(-2x + y + 6z = 1)
3x + 2y + 5z = 16
+ (4x - 2y - 12z = -2)
------------------------
IV. 7x - 7z = 14
use I and III. cancel out the same variable (y)
-3(-2x + y + 6z = 1)
7x + 3y - 4z = 11
+ (6x - 3y - 18z = -3)
------------------------
V. 13x - 22z = 8
use IV and V. cancel out a variable
13(7x - 7z = 14)
-7(13x - 22z = 8)
91x - 91z = 182
+(-91x + 154z = -56)
-------------------------
63z = 126
divide by 63
z = 2
plug z into IV
7x - 7z = 14
7x - 7(2) = 14
7x - 14 = 14
7x = 28
x = 4
plug x and z into I
-2x + y + 6z = 1
-2(4) + y + 6(2) = 1
-8 + y + 12 = 1
y + 4 = 1
y = -3
(x, y, z) = (4, -3, 2)
