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tangare [24]
2 years ago
10

Carrie saved money to spend while on a one-month vacation to Europe. On day 8, she had $2,400 remaining. On day 16, she had $1,6

00 remaining.
If her spending is modeled by a linear function, how much money did she initially take with her to Europe?

A) $3,000


B) $3,100


C) $3,200


D) $3,600
Mathematics
2 answers:
garik1379 [7]2 years ago
6 0

If this is represented by a linear function, then we know that the amount of money decreases at an unchanging amount. Knowing this, and knowing that on day 8, she had 2400, we simply just add 2400 to 8 100's:

2400 + 8*100 = 2400 + 800

Carrie initially had $3200, or Option C.


slega [8]2 years ago
5 0

Answer:

$3,200

Step-by-step explanation:

slope =  

1,600 - 2,400

16 - 8

= -100

y = mx + b

2,400 = -100(8) + b

b = 3,200

thus,

y = mx + b

y = -100x + 3,200

y = -100(0) + 3,200

y = 3,200

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sleet_krkn [62]

Answer:

Step-by-step explanation:

Answer:

(-5, 1)

Explanation:

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We are to find the coordinates of point A after the complete transformation.

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When a point is rotated 180° clockwise about the origin, the signs of its coordinates change.

A (-5, 1) ---> A' (5, -1) - after clockwise rotation of 180 degrees about origin

Then this point A' is reflected over the Y axis where the y coordinate remains the same but x coordinate changes its sign.

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Now this point A'' is reflected over the X axis where the x coordinate remains the same while y coordinates changes its sign.

A'' (-5, -1) ---> A''' (-5, 1) - after complete transformation

7 0
3 years ago
The distance from the ground of a person riding on a Ferris wheel can be modeled by the equation d equals 20 times the sine of t
kodGreya [7K]

We have the function d, representing the distance from the ground of a person riding on a Ferris wheel:

d(t)=20\sin (\frac{\pi}{30}t)+10

If we consider the position of the person at t = 0, which is:

d(0)=20\sin (\frac{\pi}{30}\cdot0)+10=20\cdot0+10=10

This position, for t = 0, will be the same position as when the argument of the sine function is equal to 2π, which is equivalent to one cycle of the wheel. Then, we can find the value of t:

\begin{gathered} \sin (\frac{\pi}{30}t)=\sin (2\pi) \\ \frac{\pi}{30}\cdot t=2\pi \\ t=2\pi\cdot\frac{30}{\pi} \\ t=60 \end{gathered}

Then, the wheel will repeat its position after t = 60 seconds.

Answer: 60 seconds.

7 0
1 year ago
Pls help i feel like im doing it right but i wanna make sure
Svetllana [295]

Answer:

-43

Step-by-step explanation:

1. -3 x -3 x -3 = -27

2. -27- 4 x 4

3. -27- 16 = -43

3 0
3 years ago
How do you solve this I need to solve for x and I also need 20 characters to send this so her you go
g100num [7]

Answer:Exact Form:

x

=

−

3

2

Decimal Form:

x

=

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1.5

Mixed Number Form:

x

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6 0
2 years ago
What is the approximate radius of a sphere of volume 528 m³? round the answer to hundreth
makvit [3.9K]

\\ \sf\longmapsto V=\dfrac{4}{3}πr^3

\\ \sf\longmapsto 528=\dfrac{4}{3}πr^3

\\ \sf\longmapsto \pi r^3=528\times \dfrac{3}{4}

\\ \sf\longmapsto πr^3=32(3)

\\ \sf\longmapsto \pi r^3=96

\\ \sf\longmapsto 3.14r^3=96

\\ \sf\longmapsto r^3=\dfrac{96}{3.14}

\\ \sf\longmapsto r^3=30.57

\\ \sf\longmapsto r=3.09m=3.1m

5 0
2 years ago
Read 2 more answers
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