Add (3a+1)+(5x+8)=??

Mathematics

1 answer:

IrinaVladis [17]2 years ago

5 0

Your answer should be 3a^2 + 5x + 9

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Put<br> 4y+x=-1 into y-intercept form and show how you did it.

artcher [175]

4y+x= -1
-x -x
—————
4y=-x-1
— ——
4 4
=======
Y= -1/4x - 1/4
Hoped this helps

3 0

2 years ago

The profit in dollars generated by producing and selling n bicycles per week is given by the formula P(n)=−5n2+400n−6000. What i

Julli [10]

Answer:

The minimum number of bicycles that must be produced and sold to break even = 20

Explanation:

The profit generated by producing and selling n bicycles per week is given by the formula:

$P(n)=-5n^2+400n-6000$

To get the minimum number of bicycles that must be produced and sold to break even, let P(n) = 0 (Since break even means no profit is made)

$\begin{gathered} 0=-5n^2+400n-6000 \\ 5n^2-400n+6000=0 \end{gathered}$

Solve the resulting quadratic equation above

$\begin{gathered} 5n^2-300n-100n+6000=0 \\ 5n(n-60)-100(n-60)=0 \\ (5n-100)(n-60)=0 \\ 5n-100=0 \\ 5n=100 \\ n=\frac{100}{5} \\ n=20 \\ n-60=0 \\ n=60 \end{gathered}$

This means that, to break even, either 60 or 20 bicycles must be produced and sold

The minimum number of bicycles that must be produced and sold to break even = 20

4 0

10 months ago

Malorie took out a loan to build a deck.The loan was for $15000 and had a 7.5% simple interest rate. If she paid a total of $1,6

attashe74 [19]

Answer:

The final value (FV) that is paid in a loan (which is the sum of the capital and the interests) equals the present value (PV) of the loan multiplied by $(1+i\times{n})$ , in a simple interest context, where "n" equals the periods of time and "i" equals the interest rate valid for that periodicity.
Then $FV=PV\times(1+i\times{n})$ . In this case, PV=$15,000; final value equals FV=$15,000+1,687.5= $16,687.5.
We should clear "n" from our equation, which means: $16,687.5=15,000\times(1+n\times0.075)$ . Dividing both sides by 15,000, then subtracting 1 both sides, and finally dividing by 0.075 both sides, results in n=1.5.
Then, Malorie had the loan for one an a half periods.