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4 years ago

If 3ax+b=c then x equals

2 answers:

kondor19780726 [428]4 years ago

6 0

<span>c-b/ 3a 1st, subtract b from both sides, then divide both sides by 3a, the side with X cancels out and leaves you with c-b/3a
</span><span>
</span>

Alborosie4 years ago

3 0

$3ax+b=c\\
3ax=c-b\\
x=\dfrac{c-b}{3a}$

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4. John Payer, owner of Payer's Garage, estimates he will need $55,000 for

Shalnov [3]

Answer:

$29364.95

Step-by-step explanation:

The formula to apply is;

$A=P(1+\frac{r}{n} )^{nt}$

where ;

A=amount at the end

P=principal amount

r=rate of interest as a decimal

n=number of compoundings a year

t=total number of years

Given in the question

A=$55000

t=8 years

n=2

r=0.08

P=?

Substitute the values in the equation;

$A=P(1+\frac{r}{n} )^{nt} \\\\\\55000=P(1+\frac{0.08}{2} )^{8*2} \\\\\\55000=P(1+0.04)^{16} \\\\\\55000=P(1.04)^{16} \\\\\\55000=1.8729P\\\\\\\frac{55000}{1.8729} =\frac{1.8729P}{1.8729} \\\\\\29364.95=P$

Checking the answer

$A=P(1+\frac{r}{n} )^{nt} \\\\\\A=29364.95(1+\frac{0.08}{2} )^{16} \\\\\\A=29364.95(1.04)^{16} \\\\\\A=55000$

8 0

3 years ago

A cylinder has a height of 10 millimeters and a radius of 3 millimeters. What is its volume?

elena-s [515]

Answer:

18312.5mm³

Step-by-step explanation:

Given parameters:

Height of cylinder = 18mm

radius = 18mm

Unknown:

Volume of the cylinder = ?

Solution:

The volume of cylinder is given as;

Volume = π r ² h

Insert the given parameters and solve;

Volume = 3.14 x 18² x 18

Volume = 18312.5mm³

6 0

3 years ago

Read 2 more answers

Given the following signal:  x(n) = {4, −1, 2, 5, − 2, 3}  Compute the 6-point DFT of x(n) directly from the DFT equation  −

FrozenT [24]

Answer:

Computing the 6-Point DFT of x(n), where X = 0,1,2,3,4,5

x(0) = 11

x(1) = 21/8 -j13/8

x(2) = 27/8 + j33/32

x(3) = 1139/256 + j91/256

x(4) = 4389/1024

x(5) = 4.14685 - j1379/8192

Step-by-step explanation:

See the picture for workings.

Given X(n) = { 4, -1, 2, 5, -2, 3}

Six point DFT implies that N = 6

Step 1 = write out equation X(k)

Step 2 = substitute "Wn" in the equation X(k) to give a new equation

Step 3 = when N=6, substitute for "N" in the new equation and simplify the new X(k) equation.

Step 4 = use 0, 1, 2, 3, 4, 5 in finding the DFT

4 0

3 years ago

Subtract the polynomials then simplify: 5x^5+4x^2-2x^6+6x^4 and 10x^2+10x^3+8x^6-9x^4

Jet001 [13]

Answer:

$\large\boxed{-10x^6+5x^5+15x^4-10x^3-6x^2}$

Step-by-step explanation:

$(5x^5+4x^2-2x^6+6x^4)-(10x^2+10x^3+8x^6-9x^4)\\\\=5x^5+4x^2-2x^6+6x^4-10x^2-10x^3-8x^6-(-9x^4)\\\\=5x^5+4x^2-2x^6+6x^4-10x^2-10x^3-8x^6+9x^4\\\\\text{combine like terms}\\\\=(-2x^6-8x^6)+5x^5+(6x^4+9x^4)-10x^3+(4x^2-10x^2)\\\\=-10x^6+5x^5+15x^4-10x^3-6x^2$

8 0

3 years ago

Read 2 more answers

erics cell phone service costs $40.00 a month for unlimited calls. he also pays $0.02 for each text message he sends. what equat

KatRina [158]

Answer:

40.021

Step-by-step explanation:

Unlimited calls = $40

Text message = $0.021

NOTE:There is a difference between the value you gave for cost of text messages in the question and the values given in the group of answers. I will use $0.021 for cost of text messages since it is common to all answer choices.

Total cost = Cost of unlimited calls + cost of text messages

C = $40 + $0.021

= $40.021

Therefore, the equation which represent the total cost in dollars for a month is 40.021

A. 40.021

3 0

3 years ago