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PolarNik [594]
3 years ago
15

Mary has twice as many dogs as David has cats and josh has enough animal collars to give a collar to one third of the dogs or to

give a collar to all the cats except one. How many collars does josh have?
Mathematics
1 answer:
Ann [662]3 years ago
3 0
D = 2C
J = 1/3D
J = C - 1

J = 1/3D
J = 1/3(2C)
J = 2/3C

2/3C = C - 1
2/3C - 3/3C = -1
-1/3C = -1
C = -1 * -3
C = 3...there are 3 cats

J = C - 1
J = 3 - 1
J = 2.....there are 2 collars





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3 years ago
Homework: 7.1 hw
Scrat [10]

Answer:

a. $ 2,431.01 = 4 years

b. $ 4,584.04  = 17 years

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d. 8.3 year = $ 2,998.48

e.  $ 2,431.01 = 4 years

Step-by-step explanation:

Compound Interest Equation

A = P(1 + r/n)nt

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

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5 0
3 years ago
Jeff feeds the family dog on Wednesdays and his sister Melody feeds the dog on Fridays. On Wednesday, Jeff gave the dog 5/8 of a
Tasya [4]
8 x 5/8 = The ounces fed by Jeff
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8 x 4/8 = The ounces fed by Melody
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4 0
3 years ago
Find the value of the integral that converges.<br> ∫^-5_-[infinity] x^-2 dx.
Bingel [31]

Answer:

\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}

Because the \lim_{x\to -\infty} \frac{1}{x} =0

The integral converges to \frac{1}{5}

Step-by-step explanation:

For this case we want to find the following integral:

\int_{-\infty}^{-5} x^{-2}dx

And we can solve the integral on this way:

\int_{-\infty}^{-5} x^{-2}dx= \frac{x^{-2+1}}{-2+1} \Big|_{-\infty}^{-5}

\int_{-\infty}^{-5} x^{-2}dx= -\frac{1}{x} \Big|_{-\infty}^{-5}

And if we evaluate the integral using the fundamental theorem of calculus we got:

\int_{-\infty}^{-5} x^{-2}dx= \frac{1}{5} + \lim_{x\to -\infty} \frac{1}{x} =\frac{1}{5}

Because the \lim_{x\to -\infty} \frac{1}{x} =0

The integral converges to \frac{1}{5}

8 0
3 years ago
Quadratic equation has 5x+0 as a linear factor what value is a zero of the associated quadratic function.
natka813 [3]

9514 1404 393

Answer:

  x = 0

Step-by-step explanation:

The zero is the value of x that makes the linear factor zero:

  5x +0 = 0

  5x = 0 . . . . . simplify

  x = 0/5 = 0 . . . . divide by 5

The associated zero is x = 0.

7 0
3 years ago
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