Answer:
Then the solution is (4, 6).
Step-by-step explanation:
Let's use the substitution method:
First multiply the second equation by 4, obtaining 4y = -2x + 32.
Now substitute (-2x + 32) for 4y in the first equation:
3x + (-2x + 32) = 36, or
3x - 2x + 32 = 36. or
x = 4.
If x = 4, then the second equation yields y = (-1/2)(4) + 8, or
y = -2 + 8, or y = 6
Then the solution is (4, 6).
Check, using the first equation:
Does 3(4) + 4(6) = 36? Does 12 + 24 = 36? YES
Slope is vertical change over horizontal change. Since coordinates conveniently give both the horizontal and vertical coordinates of a points, we can use the coordinates of both points to differentiate, or find the change horizontally and the change vertically between the two points.
Leo's balance after 9 months will be: $1757.49
Step-by-step explanation:
It is given that the balances follow a geometric sequence
First of all, we have to find the common ratio
Here
![a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60](https://tex.z-dn.net/?f=a_1%20%3D%201500%5C%5Ca_2%20%3D%201530%5C%5Ca_3%20%3D%201560.60)
Common ratio is:
![r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02](https://tex.z-dn.net/?f=r%20%3D%20%5Cfrac%7Ba_2%7D%7Ba_1%7D%20%3D%20%5Cfrac%7B1530%7D%7B1500%7D%20%3D%201.02%5C%5Cr%20%3D%20%5Cfrac%7Ba_3%7D%7Ba_2%7D%20%3D%20%5Cfrac%7B1560.60%7D%7B1530%7D%20%3D%201.02)
So r = 1.02
The general form for geometric sequence is:
![a_n = a_1r^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%20a_1r%5E%7Bn-1%7D)
Putting the first term and r
![a_n = 1500 . (1.02)^{n-1}](https://tex.z-dn.net/?f=a_n%20%3D%201500%20.%20%281.02%29%5E%7Bn-1%7D)
To find the 9th month's balance
Putting n=9
![a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890](https://tex.z-dn.net/?f=a_9%20%3D%201500%20.%20%281.02%29%5E%7B9-1%7D%5C%5C%3D%201500.%281.02%29%5E8%5C%5C%3D1757.4890)
Rounding off to nearest hundredth
$1757.49
Hence,
Leo's balance after 9 months will be: $1757.49
Keywords: Geometric sequence, balance
Learn more about geometric sequence at:
#LearnwithBrainly
The following function would be a or d
Answer:
B) 18%
Step-by-step explanation:
100% - 36% - 29% - 17% = 18%