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In-s [12.5K]
3 years ago
6

A = P(1 + nr) for r​

Mathematics
2 answers:
GREYUIT [131]3 years ago
3 0

Answer:

r = <u>A</u><u> </u><u>-</u><u> </u><u>p</u>

pn

Step-by-step explanation:

A = P(1 + nr)

A = P+ Pnr

pnr = A - p

r = <u>A</u><u> </u><u>-</u><u> </u><u>p</u>

pn

defon3 years ago
3 0

Answer:

r = (An−nP)/P

Step-by-step explanation:

A = P(1 + nr)

Divide P on both sides.

A/P = 1 + nr

Subtract 1 on both sides.

A/P - 1 = nr

Divide n on both sides.

A/P/n - 1/n = r

(An−nP)/P = r

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there are 12 actors auditioning for 5 different roles in a new play. how many different cast are possible
aleksandr82 [10.1K]

Answer:

95,040 different cast are possible

Step-by-step explanation:

In this case the order in which the actors are selected for the 5 different roles is important. Therefore we use the permutations formula.

nPr =\frac{n!}{(n-r)!}

Where n is the number of items you can choose and choose r from them.

In this case n = 12 and r = 5

12P5 =\frac{12!}{(12-5)!}

12P5 =\frac{12!}{7!}

12P5 =95040

3 0
3 years ago
Identify an equation in point-slope form for the line perpendicular to
erik [133]

Answer:

A. y - 7 = -4(x + 2)

Step-by-step explanation:

Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, <em>y - y₁ = m(x - x₁)</em><em>,</em><em> </em>all the negative symbols give the OPPOSITE term of what they really are. In addition, I recall that perpendicular lines have OPPOSITE <em>MULTIPLICATIVE INVERSE </em>[<em>RECIPROCAL</em>] <em>rate of changes</em> [<em>slopes</em>], so -4 really should be replaced with ¼, but if your assignment says otherwise, then this is the answer.

6 0
3 years ago
What is the solution to the system of equations? 2x – y = 7 y = 2x 3
velikii [3]

Answer:

I will assume the second equation is y=2x^3.  If it is y=2x+3 or y=2x-3, the lines will never intersect:  they have the same slope (2):

Step-by-step explanation:

2x – y = 7 can be rewritten as:  y = 2x -7.  It has a slope of 2.  The second equation, y = 2x 3, isn't clearly written.  If the 3 has a plus or minus sign, then the lines will never intersect:  they have the same slope, 2.

I'll assume the second equation is y=2x^3.

See attached graph.

5 0
2 years ago
What is the answer to <br> 2(6d+3)=18-3(16-3d)
marishachu [46]

Answer:

3

d

=

−

36

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
Conplete the square to solve the quadratic equation. x<br><img src="https://tex.z-dn.net/?f=1%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20
o-na [289]

Answer:

\large\boxed{x=4\pm2\sqrt6}

Step-by-step explanation:

x^2-6x+12=2x+20\qquad\text{subtract}\ 2x\ \text{and}\ 12\ \text{from both sides}\\\\x^2-8x=8\\\\x^2-2(x)(4)=8\qquad\text{add}\ 4^2=16\ \text{to both sides}\\\\x^2-2(x)(4)+4^2=8+4^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-4)^2=24\iff x-4=\pm\sqrt{24}\\\\x-4=\pm\sqrt{4\cdot6}\\\\x-4=\pm\sqrt4\cdot\sqrt6\\\\x-4=\pm2\sqrt6\qquad\text{add 4 to both sides}\\\\x=4\pm2\sqrt6

6 0
3 years ago
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