Answer:
Ralph borrowed $11,000 from the government source and $9,000 from the private source.
Step-by-step explanation:
Let:
x = government loan
y = private loan
x + y = 20,000 ............................................ (1)
x = 20,000 - y ............................................. (2)
0.033x + 0.049y = 804 ............................ (3)
Substitute equation (2) into (3) for x, we have:
0.033(20,000 - y) + 0.049y = 804
660 - 0.033y + 0.049y = 804
0.016y = 804 - 660
0.016y = 144
y = 144 / 0.016 = $9,000
Substitute $9,000 for y in equation (2), we have:
x = 20,000 - 9,000 = $11,000
Therefore, Ralph borrowed $11,000 from the government source and $9,000 from the private source.
Mike's score on the sixth test can be found by subtracting the total score after five tests from the total score after six tests (534 - 455), which yields a score of 79.
In order to solve this problem, we need to understand how averages work. The total score after five tests is 91*5, which amounts to 455. After the sixth test, the total average dropped to 89. To find the total score after six tests, you multiply 89*6, which gives us 534. The score for the sixth test can be found by subtracting the total score after five tests from the total score after six tests. So, 534 - 455 = 79. Therefore, Mike scored 79 on his sixth test.
#SPJ2
100 apples
and jim eats
20
and kellie eats
5
what is the eqation to solve
Answer:
See attached image
Step-by-step explanation:
Notice that the transformation from to involves a reflection around the axis.
Therefore we should draw a similar semicircle starting at (0,0) and ending at (4,0) and with radius 2 as seen in the attached image.