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artcher [175]
2 years ago
15

Jessica and her 2 sisters want to take a camping trip. They have $225 saved so far. Each of them will save $21 a week until they

have $512 to pay for the trip. How much money will they save after 4 weeks?
Mathematics
1 answer:
Bogdan [553]2 years ago
6 0

Answer:

225 + 63n for n- a natural number,

set 512=225+63n to find total number of weeks

63=21*3

use n=4 to solve the amount saved in 4 weeks

they wont 60*4=240, 240+12, 252+225=477

how much are the saving a day

what do they need to put up to have enough in 4 weeks

how much a day do the need to save to go in 1 week

etc

Step-by-step explanation:

You might be interested in
If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building?
elena55 [62]

The closer Diana gets to the building, the smaller the angle becomes

Diana is 17.6 feet closer to the building

<h3>How to calculate the distance from the building</h3>

To calculate the distance between her and the building, we make use of the following tangent ratio

\tan(\theta) = \frac{h}{d}

Where:

  • \theta = 40^o
  • h represents the height of the building; h = 130
  • d represents the distance from the building

So, we have:

\tan(40) = \frac{130}{d}

Make d the subject

d = \frac{130}{\tan(40)}

Evaluate tan(40)

d = \frac{130}{0.8391}

d = 154.93

Initially, Diana is at a distance of 172.53.

The difference in both distance is:

\Delta d = 172.53 - 154.93

\Delta d = 17.6

Hence, Diana is 17.6 feet closer to the building

Read more about trigonometry ratios at:

brainly.com/question/4326804

7 0
2 years ago
Write the equation of a line with an undefined slope and point (1, 7).
Sonja [21]

Answer:

The equation of straight line is x = 1

Step-by-step explanation:

<u>Step </u>:-

The equation of straight line having slope 'm' and passing through the point

(x_{1} ,y_{1} ) is y-y_{1} = m (x-x_{1} )

Slope of horizontal line(that is x-axis) is m = 0

slope of vertical line (that is y-axis) is m is not defined

The equation of straight line having slope is not defined and passing through the point (1,7).

y-7 = \frac{1}{0} (x-1)

cross multiplication we will get equation

(y-7)(0)=1(x-1)

          x-1 = 0

The equation of straight line is x = 1

4 0
2 years ago
Classify △ABC
tensa zangetsu [6.8K]

Answer:

b and d

Step-by-step explanation:

4 0
2 years ago
Dylan opened a credit card account with $650.00 of available credit. Now that he has made some purchases, Dylan’s account only h
sergeinik [125]

Answer:

32.5%

Step-by-step explanation:


7 0
3 years ago
Use the quadratic formula to solve the following equation -3x^2-x-3=0
tigry1 [53]

<u>Answer:</u>

x=-\frac{1}{6}-\frac{\sqrt{35}}{6} i \text { and } x=-\frac{1}{6}+\frac{\sqrt{35}}{6} i are two roots of equation -3 x^{2}-x-3=0

<u>Solution:</u>

Need to solve given equation using quadratic formula.

-3 x^{2}-x-3=0

General form of quadratic equation is a x^{2}+b x+c=0

And quadratic formula for getting roots of quadratic equation is

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

In our case b = -1 , a = -3 and c = -3

Calculating roots of the equation we get

\begin{array}{l}{x=\frac{-(-1) \pm \sqrt{(-1)^{2}-4(-3)(-3)}}{2 \times-3}} \\\\ {x=-\frac{1}{6} \pm\left(-\frac{\sqrt{-35}}{6}\right)}\end{array}

Since b^{2}-4 a c is equal to -35, which is less than zero, so given equation will not have real roots and have complex roots.

\begin{array}{l}{\text { Hence } x=-\frac{1}{6}-\frac{\sqrt{35}}{6} i \text { and } x=-\frac{1}{6}+\frac{\sqrt{35}}{6} i \text { are two roots of equation - }} \\ {3 x^{2}-x-3=0}\end{array}

8 0
3 years ago
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