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Rzqust [24]
3 years ago
13

In the equation 4x² - 16x + 12 = 0, the solution is?​

Mathematics
2 answers:
sergij07 [2.7K]3 years ago
8 0

Answer:

<h3>x = 3 or x = 1</h3>

Step-by-step explanation:

{4x}^{2}  - 16x + 12 = 0 \\  {4x}^{2}  - 4x - 12x + 12 = 0 \\ 4x(x - 1) - 12(x - 1) = 0 \\ (4x - 12)(x - 1) = 0 \\

(4x - 12) = 0 or (x - 1) = 0

(4x - 12) = 0 \\ 4x - 12 = 0 \\ 4x = 0 + 12 \\ 4x = 12 \\x =  \frac{12}{4}  \\ x = 3 \\

(x - 1) = 0 \\ x - 1 = 0 \\ x = 0 + 1 \\ x = 1

x = 3 or x = 1 should be.

ElenaW [278]3 years ago
5 0
X= 3, 1



Hope this helps<3
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* Danny wants to earn $500,000 by the time he retires. He puts a huge bonus of $20,000 in an
zloy xaker [14]

Answer:

See Below

Step-by-step explanation:

The question is asking:

After how many years, 20,000 will become 500,000 at an annual interest of 11.5%?

So, we need compound growth formula shown below to solve this:

F=P(1+r)^t

F is future value

P is present amount

r is rate of interest

t is the time of year

Given,

F = 500,000

P = 20,000

r = 11.5% = 11.5/100 = 0.115

t is what we want to find

F=P(1+r)^t\\500,000=20,000(1+0.115)^t\\25=1.115^t

Now, we take natural log of both sides and solve for t:

Ln(25)=t*Ln(1.115)\\t=\frac{Ln(25)}{Ln(1.115)}\\t=29.57

Its is going to take about 29.57 years, rounding, 30 years

5 0
3 years ago
From 1997 - 2001 the number n (in millions) of black-and-white TV S sold in the U.S. Can be modeled by n = 26.8 * (0.85) ^ t whe
Alexandra [31]

Question

a) What is the decay factor?

b) What is the percent decrease?

c) Estimate the number of black and white TV's  sold in 1999.

Answer:

a. Decay factor = 0.85

b. Percent decrease = 15%

c. 19.363  million TVs were sold

Step-by-step explanation:

Given

n = 26.8(0.85)^t

Solving (a): The decay factor

An exponential function has the form

y = ab^x

Where b is:

b = decay\ factor\ or\ growth\ factor

By comparison:

b = 0.85

Solving (b): Percentage decrease:

Percentage decrease P is calculated as follows:

P = 1 - b

Substitute 0.85 for b

P = 1 - 0.85

P = 0.15

Convert to percentage

P = 0.15*100\%

P = 15\%

Solving (c): TVs sold in 1999

First, we need to determine the value of t for 1999

In 1997, t= 0

In 1998, t= 1

In 1999, t= 2

So, we substitute 2 for t in: n = 26.8(0.85)^t

n = 26.8(0.85)^2

n = 26.8*0.7225

n = 19.363

4 0
3 years ago
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VikaD [51]

Answer:

5.) •Response

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5 0
3 years ago
Frank currently rents an
hammer [34]

9514 1404 393

Answer:

  • monthly payment $690.25
  • total interest $123,490
  • total repaid $248.490
  • difference from rent $9.75

Step-by-step explanation:

Frank's monthly payment will be $690.25.

The total of all payments will be $690.25 × 360 = $248,490.00.

The interest Frank will pay is $248,490 -125,000 = $123,490.00.

The difference between Frank's rent and his loan payment is ...

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6 0
3 years ago
3 copies of of 1/3 what is the answer
Lunna [17]
Well I think that for this problem we should multiply 3x1/3 which is 1 whole. Sorry if I'm incorrect.
6 0
3 years ago
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