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mars1129 [50]
3 years ago
11

Square root 32x^10y^n simplifies to (4x^5y^3 square root 2y) what is the value of n?

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
6 0

i think n is 4 but i might be wrong

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1. Ted found out that the rebate is not given until after he has
nadezda [96]

9514 1404 393

Answer:

  maybe not

Step-by-step explanation:

Consider a couple of scenarios for a $20,000 car purchase and a $2000 rebate, with sales tax at 10%.

1) The rebate is applied directly to the purchase price.

  Taxable amount: $20,000 -2,000 = $18,000.

  Price with tax: $18,000 × 1.10 = $19,800

  Amount financed: $19,800.

__

2) The rebate is given after the sale is complete.

  Taxable amount: $20,000

  Price with tax: $20,000 × 1.10 = $22,000

  Amount financed: $22,000

  Remaining loan balance if $2000 rebate is immediately applied to the loan: $22,000 -$2000 = $20,000

__

If the loan is for 5 years at 3%, the payments and total costs are ...

  Scenario 1: Monthly payment $355.78;

     total cost of loan: 60×355.78 = 21,346.80

  Scenario 2: Monthly payment $395.31;

     total cost of loan: 55×395.31 = $21,742.05  (note there are fewer payments because of the initial payment to principal of $2000)

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Ted effectively has to finance an additional $200, equal to the sales tax on the rebate. So the delayed rebate costs him an extra $395.25 over the life of the loan.

_____

We have assumed certain tax and payment scenarios. If tax is not an issue, and if the loan terms are such that the rebate can be applied immediately to the loan amount, then <em>there may be no difference in total cost</em>, or the delayed rebate may result in a <em>lower</em> total cost due to the higher monthly payment.

7 0
2 years ago
Please please please help and solve this with steps, much help needed thank you :) 20 points for this!
leonid [27]

Answer:

y=\sqrt{\frac{x^4-6x^2+12x+c_1}{2}},\:y=-\sqrt{\frac{x^4-6x^2+12x+c_1}{2}}

(Please vote me Brainliest if this helped!)

Step-by-step explanation:

\frac{dy}{dx}y=x^3+2x-5x+3

\mathrm{First\:order\:separable\:Ordinary\:Differential\:Equation}

  • \mathrm{A\:first\:order\:separable\:ODE\:has\:the\:form\:of}\:N\left(y\right)\cdot y'=M\left(x\right)

1. \mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:

y'\:y=x^3+2x-5x+3

2. \mathrm{Rewrite\:in\:the\:form\:of\:a\:first\:order\:separable\:ODE}

yy'\:=x^3-3x+3

  • N\left(y\right)\cdot y'\:=M\left(x\right)
  • N\left(y\right)=y,\:\quad M\left(x\right)=x^3-3x+3

3. \mathrm{Solve\:}\:yy'\:=x^3-3x+3:\quad \frac{y^2}{2}=\frac{x^4}{4}-\frac{3x^2}{2}+3x+c_1

4. \mathrm{Isolate}\:y:\quad y=\sqrt{\frac{x^4-6x^2+12x+4c_1}{2}},\:y=-\sqrt{\frac{x^4-6x^2+12x+4c_1}{2}}

5. \mathrm{Simplify}

y=\sqrt{\frac{x^4-6x^2+12x+c_1}{2}},\:y=-\sqrt{\frac{x^4-6x^2+12x+c_1}{2}}

7 0
3 years ago
Read 2 more answers
Matt and Cat win £120 on the lottery and decide to share the winning ratio 1:2
8_murik_8 [283]
The way to work out how much each person gets is to find out how much one part is worth.

We can do this by adding the ratio (1:2) which gives us 3.

Divide £120 by 3 parts and you get £40 as one part. 

Because the ratio is one part : two parts, Matt gets £40 and Cat gets £80. 
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3 years ago
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The grocery store sells kumquats for $4.75 a pound and Asian pears for $3.75 a pound. Write an equation in standard form for the
maks197457 [2]
<span>to find the solution to this problem, we must understand that the sum of the amount that the customer could be bought is $12. $4.75 pound of kumquats and Asian pears for $3.75 mean mathematically as $12. $4.75 kumquats + $3.75 Asian, this last sum is equal to $12, so the true answer is the choice B: 4.75k + 3.75p = 12 Hope this helps. Let me know if you need additional help!</span>
6 0
3 years ago
henry is organizing textbooks on his bookshelf. he has a spanish textbook, a math textbook, and a history textbook. how many dif
Brums [2.3K]

Answer:

6

Step-by-step explanation:

S = Spanish book

M = Math book

H = History book

These are the different ways in which he can organize the book on his bookshelf.

SMH

SHM

MSH

MHS

HSM

HMS

There are 6 ways.

6 0
1 year ago
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