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suter [353]
3 years ago
10

The graph of which function passes through (0,4) and has a minimum value at (StartFraction 3 pi Over 2 EndFraction, 3)? f (x) =

sine (x) + 4 f (x) = cosine (x) + 3 f (x) = negative 3 sine (x) f (x) = 4 cosine (x)

Mathematics
2 answers:
Nikitich [7]3 years ago
8 0

Answer:

<h2>f(x) = sin(x) + 4</h2>

Step-by-step explanation:

The right choice is the first one.

You can rapidly get the answer by identifying the interception with the vertical axis.

The problem specifies that the functions passes through (0,4), which is a vertical interception. So, vertical interceptions appears in the equations as an independent term, and the only function among options that has an independent term of 4 is the first choice.

In addition, the graph of the function is attached, there you could observe the interception point with the vertical axis.

solniwko [45]3 years ago
7 0

Answer:

f(x) = sin(x) + 4  Let me know if you don't see why.

Step-by-step explanation:

As much as I hate it I think it might be best to check each one.  

sin(x) has a point at (0,0) so that's not right.

sin(x)+4 has (0,4) as a point and a minimum at (3*pi/2+2*pi*n,3) where n is some integer.  if we have n = 0 then it becomes (3*pi/2, 3) So that looks like our answer.

cos(x) + 3 has a point at (0,4) then minimums at (pi+2*pi*n, 2)  the y coordinate is wrong so this won't work

-3sin(x) has a point at (0,0) so that's wrong

4cos(x) has a point at (0,4) then minimums at (pi+2*pi*n, -4) which again has the wrong y value so this is wrong.

Let me know if you don't understand how I got the results I did, I would be happy to explain.  

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325 km

Step-by-step explanation:

Given the scale :

1 : 4 ,000, 000

1cm measure in map = 4000000 on the ground

From the map :

Distance between Leeds and London = 8.125 cm

The actual distance on ground can be calculated thus :

1cm = 4,000,000

8.125cm = x

Cross multiply

x = 32500000 cm

Converting to kilometers :

1 km = 100,000 cm

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100,000x = 32500000

x = 32500000 / 100000

x = 325

Hence, actual distance between Leeds and London is 325 km

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Step-by-step explanation:

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Sydney is making treat bags for her birthday party. She wants to put three lollipops into each bag and she has 25 lollipops. Gro
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Cynthia had a credit card with a 17% APR and a $3,265 balance. She had budgeted to have the credit card paid off in 24 months. B
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Answer:

Cynthia will have to pay $152.16 extra in finance charges.

Step-by-step explanation:

Cynthia had a credit card with a 17% APR and a $3,265 balance.

Cynthia’s credit card company has increased her interest rate to 21%.

Here we have two scenarios, 1st when p = 3265 r = 17% and n = 24

Second when p = p = 3265 r = 21% and n = 24

Scenario 1:

r =17/12/100=0.014166

EMI formula is :

\frac{p\times r\times(1+r)^{n}}{(1+r)^{n}-1}

Putting the values in formula we get;

\frac{3265\times0.014166\times(1+0.014166)^{24}}{(1+0.014166)^{24}-1}

= \frac{3265\times0.014166\times(1.014166)^{24}}{(1.014166)^{24}-1}

EMI = $161.43

Scenario 2:

r = 21/12/100=0.0175

Putting the values in formula we get;

\frac{3265\times0.0175\times(1+0.0175)^{24}}{(1+0.0175)^{24}-1}

= \frac{3265\times0.0175\times(1.0175)^{24}}{(1.0175)^{24}-1}

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Now, difference in EMI's = 167.77-161.43=6.34 dollars

And for 24 months this amount becomes = 24\times6.34=152.16 dollars

Therefore, Cynthia will have to pay $152.16 extra in finance charges.

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