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Nesterboy [21]
3 years ago
15

I would be GREATLY appreciative if you helped me out. Oh and also I WILL GIVE BRAINLIEST.

Mathematics
2 answers:
Basile [38]3 years ago
5 0

Answer:

  • C. x = 4.38, −0.38

Step-by-step explanation:

  • -3(x - 2)² + 17 = 0
  • -3(x - 2)² = - 17
  • (x - 2)² = 17/3
  • x - 2 = ± \sqrt{17/3}
  • x - 2 = ± 2.38
  • x = 2 + 2.38 = 4.38 or x = 2 - 2.38 = -0.38

Correct choice is C

Elis [28]3 years ago
3 0

Answer:

x = 4.38

Step-by-step explanation:

Solve the equation:

- 3(x - 2)2 + 17 = 0x

Apply multiplicative distribution law:

- (3x - 6) \times 2 + 17 = 0

Apply muliplicative distribution law:

- 6x + 12 + 17 = 0

Rearrange unknown terms to the left side of the equation:

- 6x =  - 12 - 17

Calculate the sum or difference:

- 6x =  - 29

Divide both sides of the equation by the coefficienr of variable:

x =  - 29 \div ( - 6)

Calculate:

x =  \frac{29}{6}

Round the number:

x =  \frac{29}{6}  \\ 0.01

Round the number:

x = 4.38

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Answer:

The total amount of interest Samantha will pay=$40,842.47

Step-by-step explanation:

Step 1: Determine expression of total interest amount to be payed

The expression for the total interest amount to be payed inclusive of interest is given by;

A=P(1+r/n)^(nt)-P

where;

A=total amount of interest to be payed

P=principal loan amount

r=annual interest rate

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In our case;

P=$40,000

r=4.7%=4.7/100=0.047

n=12

t=15 years

replacing;

A=40,000(1+0.047/12)^(12×15)-40,000

A=40,000(1.00392)^180-40,000

A=40,842.46821

The amount rounded of to the nearest cents=1/100=0.01, round off to the nearest 2 decimal places=40,842.47

The total amount of interest Samantha will pay=$40,842.47

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