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3 years ago

5

Sonji has $5.25 in nickels and dimes.The coin value can be modeled by the equation 0.10 d plus 0.05 n equals 5.25, where d repre

sents the number of dimes and n represents the number of nickels. If Sonji has 21 dimes, how many nickels does she have?
35
42
63
105

1 answer:

Tpy6a [65]3 years ago

8 0

The answer is for your question is 42

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Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.

qwelly [4]

Answer:

A)

$\displaystyle \frac{dy}{dt}=-\frac{33}{8}$

B)

$\displaystyle \frac{dx}{dt}=\frac{3}{2}$

Step-by-step explanation:

<em>x</em> and <em>y</em> are differentiable functions of <em>t, </em>and we are given the equation:

$xy=6$

First, let's differentiate both sides of the equation with respect to <em>t</em>. So:

$\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6]$

By the Product Rule and rewriting:

$\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0$

Therefore:

$\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0$

A)

We want to find dy/dt when <em>x</em> = 4 and dx/dt = 11.

Using our original equation, find <em>y</em> when <em>x</em> = 4:

$\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}$

Therefore:

$\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0$

Solve for dy/dt:

$\displaystyle \frac{dy}{dt}=-\frac{33}{8}$

B)

We want to find dx/dt when <em>x</em> = 1 and dy/dt = -9.

Again, using our original equation, find <em>y</em> when <em>x</em> = 1:

$(1)y=6\Rightarrow y=6$

Therefore:

$\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0$

Solve for dx/dt:

$\displaystyle \frac{dx}{dt}=\frac{3}{2}$

5 0

3 years ago

Suppose that 10 years ago you bought a home for 120000, paying 10% as a down payment, and financing the rest at 7% interest for

sesenic [268]

Total interest will be $178245.

1. Earlier we were p[aying monthly $718.50( as per question 3 Now we are paying monthly $555.65

So we will save $162.85 ($718.50-$555.65) per month

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So total interest will be $70888+$107357 = $178245

3. Yes it viable to refinance it reduces interest burden and also save $162.85 everymonth. 1% difference in interest can save a lot money for us in long term and there is no extra cost for refinance hence it is really benificial.

4. Interest to be paid for the next 30 years will be $107357. You can calculate the interest as shown below as I am not able to upload the whole calculation.

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5 0

2 years ago

20%of 120 is what number

RSB [31]

$\frac{20}{100} \times 120=?\\\\ \frac{1}{5} \times 120 = ?\\\\ \frac{120}{5}= \boxed {24}$

7 0

3 years ago

Read 2 more answers

If f(x) = -x + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f +g)(x)?<br> -

Lyrx [107]

Answer:

This is so easy

Let me explain:

first lets find out (f+g)(x)=-x+3x+5+x^2+2x=

x^2+4x+5 this is the equation of a parabola because we have x^2

so only the first graph shows us a parabola

which remains the right one.

6 0

3 years ago

Solve the following system of equations using substitution:

iragen [17]

Answer:

x = -1

y = 2

Step-by-step explanation:

y = x+3

x+2y = 3

substitute y

x+2(x+3) = 3

simplify

3x+6 = 3

subtract 6 from both sides

3x = -3

x = -1

y = -1+3 = 2

6 0

3 years ago