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Karo-lina-s [1.5K]
3 years ago
6

Susan wants to buy a paddle boat for $840. She will pay 20% down and pay the rest in six monthly installments. What will be the

amount of each monthly payment?
Mathematics
1 answer:
Usimov [2.4K]3 years ago
4 0
20 % of the price: 0.2 · 840 = $168
The rest: $840 - $168 = $672
$372 : 6 = $112
The amount of each monthly payment will be $112. 
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What is the expression in factored form?
san4es73 [151]

Answer:  (4x + 3) (x + 2)

Step-by-step explanation:

We can rewrite 4x² + 11x + 6 as 4x² + 8x + 3x + 6

Since 4x² + 11x + 6  = 4x² + 8x + 3x + 6

                                = (4x + 3) (x + 2)

6 0
3 years ago
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Which function has the domain x>-11
Marat540 [252]
<h2>Answer</h2>

y=\sqrt{x+11} +5

<h2>Explanation</h2>

Remember that the square root function is not defined, in the set of real numbers, for negatives values, so its radicand (the thing inside the square root) must be zero or bigger than zero. In other words, to find the domain of a square root function, you should set the thing inside the radical bigger or equal to zero and solve for x. Let's find the domain of each one of our functions:

For y=\sqrt{x+11} +5

The thing inside the square root is x+11, so we are setting that bigger or equal than zero and solve for x to find the domain of the function:

x+11\geq 0

x\geq -11   domain

For y=\sqrt{x-11} +5

x-11\geq 0

x\geq 11   domain

For y=\sqrt{x-5} -11 and y=\sqrt{x-5} +11

x+5\geq 0

x\geq -5   domain

As you can see, the only one that has the domain x\geq -11 is the first choice.


7 0
3 years ago
The marginal price per pound (in dollars) at which a coffee store is willing to supply x pounds of Jamaican Blue Mountain coffee
il63 [147K]

Answer:

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

Step-by-step explanation:

We are given the following information in the question:

The marginal price per pound (in dollars) is given by:

p'(x) = \displaystyle\frac{208}{(x+7)^2}

where x is the supply in pounds.

P(x) = \displaystyle\int p'(x)~dx =\displaystyle\int\displaystyle\frac{208}{(x+7)^2}~dx\\\\P(x) = \frac{-208}{(x+7)} + c\\\\\text{where c is the constant of integration.}

The coffee shop is willing to supply 9 pounds per week at a price of $7 per pound.

Thus, we are given that

P(9) = 7

Putting the values, we get,

P(x) = \displaystyle\frac{-208}{(x+7)} + c\\\\P(9) = 7\\\\\displaystyle\frac{-208}{(9+7)} + c = 7\\\\c = 7 + \frac{208}{16} = 20

P(x) = \displaystyle\frac{-208}{(x+7)} + 20

Now, we have to find how many pounds it would be willing to supply at a price of $4 per pound.

P(x) = 4

P(x) = \displaystyle\frac{-208}{(x+7)} + 20 = 4\\\\\frac{-208}{x+7} = -16\\\\x + 7 = 13\\x = 6

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

3 0
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Colt1911 [192]

Answer:

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Answer:

hmmm 38

Step-by-step explanation:

?

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