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2 years ago

What is the equation of a line that is parallel to 2x+3y=3 and passes through the point (3, −4) ?

Mathematics

1 answer:

svetlana [45]2 years ago

8 0

.................................

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A quantity P is an exponential function of time I, such that P = 160 when t = 6 and P = 150 when I = 4. Use the given informatio

Klio2033 [76]

Answer:

k = 0.032
P0 = 131.836

Step-by-step explanation:

Perhaps you want to use the points (t, P) = (4, 150) and (6, 160) to find the parameters P0 and k in the equation ...

$P(t)=P_0\cdot e^{kt}$

We know from the given points that we can write the equation as ...

$P(t)=150\left(\dfrac{160}{150}\right)^{(t-4)/(6-4)}=150\left(\dfrac{16}{15}\right)^{\frac{t}{2}-2}\\\\=150\left(\dfrac{16}{15}\right)^{-2}\times\left(\left(\dfrac{16}{15}\right)^{\frac{1}{2}}\right)^t$

Comparing this to the desired form, we see that ...

$P_0=150\left(\dfrac{16}{15}\right)^{-2}\approx 131.836\\\\e^{k}=\left(\dfrac{16}{15}\right)^{1/2}\rightarrow k=\dfrac{1}{2}(\ln{16}-\ln{15})\approx 0.0322693$

So, the approximate equation for P is ...

$P(t)=131.836\cdote^{0.032t}$

And the parameters of interest are ...

k = 0.032
P0 = 131.836

4 0

2 years ago

401(k) accounts are those that are partially funded by employers using a portion of wages before tax: true or false?

olga nikolaevna [1]

Answer:

FALSE

Step-by-step explanation:

It is false because 401(k) accounts are not funded by employer's wages but <em>employees' </em>wages ; the latter voluntarily make contributions to a retirement account that is taken out of their wages before taxes . Employers on the other hand may partially or fully match a portion of these contributions.

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3 years ago

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UNO [17]

Answer:

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Step-by-step explanation:

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2 years ago

Question 3(Multiple Choice Worth 4 points) (05.05)The width of a rectangle is shown below: A coordinate plane with a point A at

olganol [36]

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2 years ago

Mary is making some shirts for her school's drama department. The fabric store has 3 1/6 yards of the fabric she wants in stock.

OLEGan [10]

Answer:

A. 3 5/6 yards

Step-by-step explanation:

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2 years ago

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