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Cerrena [4.2K]
3 years ago
13

Solve the equation... 64x^3 -x=0 and x^3 +4x^2-x-4=0

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
5 0

 x =(-2-√-12)/8=(-1-i√ 3 )/4= -0.2500-0.4330i

x =(-2+√-12)/8=(-1+i√ 3 )/4= -0.2500+0.4330i

x = 1/2 = 0.500

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Solve for x and justify your answer ​
Scorpion4ik [409]
The answer is 51°.

The top two lines are parallel to each other. Therefore alternate interior angles theorem applies. The bottom right corner that is underneath the line (for lack of a better description) is also 58°.

We also know that a triangle equals 180°. So 58+71= 129°.

So to find that missing angle we subtract 129 from 180 to get the 51°.
3 0
3 years ago
Money Flow  The rate of a continuous money flow starts at $1000 and increases exponentially at 5% per year for 4 years. Find the
77julia77 [94]

Answer:

Present value =  $4,122.4

Accumulated amount = $4,742

Step-by-step explanation:

Data provided in the question:

Amount at the Start of money flow = $1,000

Increase in amount is exponentially at the rate of 5% per year

Time = 4 years

Interest rate = 3.5%  compounded continuously

Now,

Accumulated Value of the money flow = 1000e^{0.05t}

The present value of the money flow = \int\limits^4_0 {1000e^{0.05t}(e^{-0.035t})} \, dt

= 1000\int\limits^4_0 {e^{0.015t}} \, dt

= 1000\left [\frac{e^{0.015t}}{0.015} \right ]_0^4

= 1000\times\left [\frac{e^{0.015(4)}}{0.015} -\frac{e^{0.015(0)}}{0.015} \right]

= 1000 × [70.7891 - 66.6667]

= $4,122.4

Accumulated interest = e^{rt}\int\limits^4_0 {1000e^{0.05t}(e^{-0.035t}} \, dt

= e^{0.035\times4}\times4,122.4

= $4,742

8 0
3 years ago
If $16 is 80% of the money I have in my wallet, how much do I have in total?
pychu [463]

Answer:

$20

Step-by-step explanation:

to check

16/20

divide

= .80

times 100

80%

3 0
2 years ago
Read 2 more answers
A cell phone company offers a contract that costs $14.99 plus $0.06 per minute. Find the total number of minutes used if the bil
sattari [20]

Answer:

87 minutes

Step-by-step explanation:

Let the total number of minutes = m

Our equation is given as:

$20.21 = $14.99 + 0.06m

20.21 = 14.99 + 0.06m

Collect like terms

0.06m= 20.21 - 14.99

0.06m = 5.22

m = 5.22/0.06

m = 87

Therefore, the total number rod minutes used is 87 minutes

7 0
3 years ago
In the figure, x ǁ y and a ǁ b.<br><br> What is m∠2?<br><br> m∠2 = ___°
Marizza181 [45]
∠2 =∠1 which is 180° -65° =115<span>° 
So </span>∠2=115<span>° </span>
8 0
3 years ago
Read 2 more answers
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