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3 years ago

Juan scored 15 points more on this test than

Mathematics

1 answer:

maw [93]3 years ago

8 0

Juan's least integer scores in both tests will be 85 and 100 respectively.

Test average of his two scores is atleast 92

Let :

Score on test 1 = b
Score on test 2 = b + 15

Average score can be related thus:

(Sum of score ÷ number of test) ≥ 92
(b + b + 15) ÷ 2 ≥ 92
(2b + 15) ÷ 2 = 92
2b + 15 = 184
2b = 184 - 15
2b = 169
b = 169 ÷ 2
b = 84.5

Therefore, since both scores are integers, his least scores on both tests will be ::

85 and (85 + 15) = 100

Learn more :brainly.com/question/15528814

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4 years ago

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3 years ago

David takes out a 20year 70,000 loan from his bank 2010. The quadratic equation that approximates the year/loan balance relation

konstantin123 [22]

Answer:

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Step-by-step explanation:

The duration of the loan David takes = 20 year loan

The amount David takes as loan = 70,000

The year David takes the loan = 2010

The year/loan balance relationship is y = -98·x² - 1,531·x + 69,71<u>0</u> (We note that the proper constant for the loan balance should be approximately 70,000, therefore the added zero)

Where;

x = The number of yeas

y = The balance

The year his loan balance will be $37,234.7, is given as follows;

37,234.7 = -98·x² - 1,531·x + 69,71<u>0</u>

-98·x² - 1,531·x + 69,710 - 37,234.7 = 0

-98·x² - 1,531·x + 32,475.3 = 0

Factorizing with a graphic calculator, gives;

-98·(x - 11.998)·(x + 27.62) = 0

∴ x = 11.998 ≈ 12 or -27.62

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