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GenaCL600 [577]
3 years ago
10

a student takes out two loans for a total of $6000. the unsubsidized loan is $750 more than the subsidized loan. find the amount

of each loan.
Mathematics
1 answer:
Free_Kalibri [48]3 years ago
4 0
One of the loans is 3750 dollars and the other loan is 2250 dollars and when you add them together they make 6000.

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-3(4x - 2) - 2x

-12x + 6 - 2x

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8 0
3 years ago
A car drives for 1 hour 55 minutes with a constant speed of 36 km/h and then for another 1 hour 50 minutes with a constant speed
stich3 [128]
----------------------------------------
Convert hours to minutes
----------------------------------------
1 hour 55 mins = 60 + 55 = 115 mins
1 hour 50 mins = 60 + 50 = 110 mins

_____________________________________________________

----------------------------------------
Speed = 36/h
----------------------------------------
1 hour = 36 km

----------------------------------------
Rewrite 1 hour as 60 mins
----------------------------------------
60 mins = 36 km

----------------------------------------
Find 1 min
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1 min = 36 ÷ 60
1 min = 0.6 km

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Find 115 mins
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1 min = 0.6 km
115 min = 0.6 x 115 
115 min = 69km

_____________________________________________________

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Speed = 72km/h
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1 hour = 72 km

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Write 1 hour as 60 mins
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60 mins = 72 km

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Find 1 min
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1 min = 72 ÷ 60 
1 min = 1.2 km

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Find 110 min
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1 min = 1.2 km
110 min = 1.2 x 110 
110 min = 132 km

_____________________________________________________

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Total Distance traveled:
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69km + 132km = 201km

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Answer: 201 km
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7 0
3 years ago
1²+3²+4²+.......+(2n-2)²= ⅓n(2n-1)(2n+1)
sergiy2304 [10]
                       1² + 3² + 4² + 4(n - 1)² = ¹/₃n(2n - 1)(2n + 1)
                       1² + 3² + 4² + (2n - 2)² = ¹/₃n(2n - 1)(2n + 1)
              1 + 9 + 16 + (2n - 2)(2n - 2) = ¹/₃n(2n(2n + 1) - 1(2n + 1))
  10 + 16 + (2n(2n - 2) - 2(2n - 2)) = ¹/₃n(2n(2n) + 2n(1) - 1(2n) - 1(1)    16 + (2n(2n) - 2n(2) - 2(2n) + 2(2)) = ¹/₃n(4n² + 2n - 2n - 1)
                     26 + (4n² - 4n - 4n + 4) = ¹/₃n(4n² - 1)
                            26 + (4n² - 8n + 4) = ¹/₃n(4n² - 1)
                              26 + 4n² - 8n + 4 = ¹/₃n(4n²) - ¹/₃n(1)
                              4n² - 8n + 4 + 26 = 1¹/₃n³ - ¹/₃n
                                    4n² - 8n + 30 = 1¹/₃n³ - ¹/₃n
                                          + ¹/₃n                     + ¹/₃n
                                 4n² - 7²/₃n + 30 = 1¹/₃n³
                   -1¹/₃n³ + 4n² - 7²/₃n + 30 = 0
             -3(-1¹/₃n³ + 4n² - 7²/₃n + 30) = -3(0)
-3(-1¹/₃n³) - 3(4n²) - 3(-7²/₃n) - 3(30) = 0
                        4n³ - 12n² + 23n - 90 = 0
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4 years ago
WILL MARK BRAINLEST, NEED THE ANSWER ASAP!!!!
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