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PIT_PIT [208]
3 years ago
12

The linear function g(x) = -4.5x + 144 represents the amount of money,

Mathematics
1 answer:
joja [24]3 years ago
4 0

Answer:

Sara has $144 at the beginning of the month.

Step-by-step explanation:

At the beginning of the month, x = 0 because no days have passed since the beginning of the month. When x = 0, g(0) = -4.5(0) + 144 = 144, therefore, we know that Sara has $144 on her card at the beginning of the month.

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The value in dollars, v(x), of a certain truck after x years is represented by the equation v(x) = 32,500(0.92)x. To the nearest
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Answer:

The value of the truck is worth $27,508 after two years.

Step-by-step explanation:

We are given the following in the question:

v(x) = 32,500(0.92)^x

where v(x) is the value of truck in dollars after x years.

We have to estimate the value of truck after 2 years.

We put x = 2 in the equation.

v(2) = 32500(0.92)^2\\v(2) = 27508

Thus, the value of the truck is worth $27,508 after two years.

8 0
3 years ago
Which of the following are accurate factors of 3x2 – 75 when multiplied together? Select the two correct answers. (2 poin
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Answer:

First and last

Step-by-step explanation:

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3 years ago
Read 2 more answers
A train travels a distance of 60 km at uniform speed. If the speed of the train was reduced by 10 kmh-1, the time taken to trave
tester [92]

Answer:

<u>Initial</u><u> </u><u>speed</u><u> </u><u>is</u><u> </u><u>3</u><u>2</u><u> </u><u>m</u><u>/</u><u>s</u>

At uniform speed, acceleration is 0, (a = 0).

When speed reduced, (v - u) = 2.78 ms-¹, t = 1800 sec, s = 60 ,000 metres.

From first equation of motion:

{ \boxed{ \bf{v = u + at}}} \\  { \tt{(v - u) = at}}

substitute:

{ \tt{2.78 = (a \times 1800)}} \\ { \tt{acceleration = 0.0015 \:  {ms}^{ - 2} }}

from second equation of motion:

{ \boxed{ \bf{s = ut +  \frac{1}{2} a {t}^{2} }}}

substitute:

{ \tt{60000 = 1800u + ( \frac{1}{2} \times 0.0015 \times  {1800}^{2})  }} \\ { \tt{1800u = 57570}} \\ { \tt{u = 32 \: m {s}^{ - 1} }}

5 0
3 years ago
A moving company charges $40 plus $0.25 per mile to rent a van. Another company charges $25 plus $0.35 per mile to rent the same
Bond [772]
<h3>Answer:</h3>

c. 150 miles

<h3>Step-by-step explanation:</h3>

You want to find the number of miles (m) that make the charges equal.

... 40 +0.25m = 25 + 0.35m

... 15 = 0.10 m . . . . . . add -25-0.25m

... 150 = m . . . . . . . . . divide by the coefficient of m

For 150 miles, the rental cost will be the same for both companies.

4 0
4 years ago
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