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arlik [135]
3 years ago
11

State the value of the discriminant for y =

2+9x-3" alt="5x^2+9x-3" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Nostrana [21]3 years ago
3 0

Answer:

141, meaning that there will be two real solutions

Step-by-step explanation:

The discriminant of a quadratic is b^2-4ac, which in this case is:

9^2-4(5)(-3)=81+60=141

Since the discriminant is positive and not zero, there will be two real solutions to this equation. This is because when the discriminant is negative, and you take the square root of it, you get a negative number. If you take the square root of 0, you get 0, which means that there will only be one solution to the equation.

Hope this helps!

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mario is taking a $2,900, 2-year loan with an APR of 5.44%. what is the montly payment for this loan? round to the nearest cent
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Answer:

The monthly payment for this loan is $127.80

Step-by-step explanation:

The formula of the monthly payment is

M.P=\frac{P(\frac{r}{n})}{1-(1+\frac{r}{n})^{-nt}}

  • P is the initial amount of the loan
  • r is the rate in decimal
  • n is the period of the time
  • t is the time of the loan

∵ Mario is taking a $2,900, 2-year loan with an APR of 5.44%

∴ P = 2,900

∴ t = 2

∵ ART means annual percent rate

∴ r = 5.44% = 5.44 ÷ 100 = 0.0544

∴ n = 12

→ Substitute all these values in the formula above

∵ M.P = \frac{2,900(\frac{0.0544}{12})}{1-(1+\frac{0.0544}{12})^{-(12)(2)}}

→ use your calculator to find the answer

∴ M.P = 127.7992528

→ Round it to the nearest cent ⇒ 2d.p

∴ M.P = 127.80

∴ The monthly payment for this loan is $127.80

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