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docker41 [41]
3 years ago
10

Deanna has $150.00 in her account.At the end of each week, she plans to take $15.00 out of her account for her spending money. W

rite an equation to show the relationship between the number of weeks and the balance in the account
Mathematics
1 answer:
AlexFokin [52]3 years ago
3 0

Let the balance = Y and the number of weeks = x

She takes out 15 per week, so multiply 15 by x ( the number of weeks) to get 15x.

You would then want to subtract that from the amount she started with in her account.

The equation becomes: Y = 150 - 15x

You might be interested in
Triangle ABL is an isosceles triangle in circle A with a radius of 11, PL = 16, and ∠PAL = 93°. Find the area of the circle encl
katovenus [111]

Answer:

The area of the circle enclosed by line PL and arc PL is approximately 37.62 square units

Step-by-step explanation:

The given parameters in the question are;

The radius of the circle, r = 11

The length of the chord PL = 16

The measure of angle ∠PAL = 93°

The segment of the circle for which the area is required = Minor segment PL

The shaded area of the given circle is the minor segment of the circle enclosed by line PL and arc PL

The area of a segment of a circle is given by the following formula;

Area of segment = Area of the sector - Area of the triangle

In detail, we have;

Area of segment = Area of the sector of the circle that contains the segment) - (Area of the isosceles triangle in the sector)

Area of a sector = (θ/360)×π·r²

Where;

r = The radius of the circle

θ = The angle of the sector of the circle

Plugging in the the values of <em>r</em> and <em>θ</em>, we get;

The area of the sector enclosed by arc PL and radii AP and AL = (93°/360°) × π × 11² ≈ 98.2 square units

Area of a triangle = (1/2) × Base length × Height

Therefore;

The area of ΔAPL = (1/2) × 16 × 11 × cos(93°/2) ≈ 60.58 square units

∴ The area of the segment PL ≈ (98.2 - 60.58) square units = 37.62 square units

Therefore, the area of the shaded segment PL ≈ 37.62 square units

More examples on area of a shaded segment can be found here:

brainly.com/question/22599425

8 0
2 years ago
Read 2 more answers
Fill in the other coordinate for the line y=23x+3 y = 2 3 x + 3 : (3, )
Igoryamba
23(3) +  3

= 72

Why do you write 2 equations?

5 0
3 years ago
Read 2 more answers
Z=7f/r+4 , solve for r
lora16 [44]

Answer:

              7f

     r = -----------  -  4

                z

Step-by-step explanation:

I will assume that you meant:

         7f

z = ------------

        r + 4

Solve for r.  Start by interchanging z and (r + 4):

               7f

r + 4 = -----------

                z

Now subtract 4 from both sides.  This isolates r:

              7f

     r = ----------- - 4

                z

3 0
3 years ago
Candy is paving a narrow pathway with pebbles. She needs 100 pebbles for each four feet of path. How many feet can she pave if s
Nuetrik [128]
21 feet
525/100=5.25
5.25 times 4 = 21
6 0
2 years ago
Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the
tangare [24]

Answer:

Option D) h(x), f(x), g(x)

Step-by-step explanation:

we know that

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex of the parabola

Part 1) we have

f(x)=4x^{2} -1

This is a vertical parabola open upward

The vertex is a minimum The vertex is the point (0,-1)

The x-coordinate of the vertex is 0

so

The axis of symmetry is x=0

Part 2) we have

g(x)=x^{2}-8x+5

This is a vertical parabola open upward

The vertex is a minimum

Convert the equation into vertex form

g(x)-5=x^{2}-8x

g(x)-5+16=x^{2}-8x+16

g(x)+11=x^{2}-8x+16

g(x)+11=(x-4)^{2}

g(x)=(x-4)^{2}-11

The vertex is the point (4,-11)

The x-coordinate of the vertex is 4

so

The axis of symmetry is x=4

Part 3) we have

h(x)=-3x^{2}-12x+1

This is a vertical parabola open downward

The vertex is a maximum

Convert the equation into vertex form

h(x)-1=-3x^{2}-12x

h(x)-1=-3(x^{2}+4x)

h(x)-1-12=-3(x^{2}+4x+4)

h(x)-13=-3(x+2)^{2}

h(x)=-3(x+2)^{2}+13

The vertex is the point (-2,13)

The x-coordinate of the vertex is -2

so

The axis of symmetry is x=-2

Part 4) Rank their axis of symmetry from least to greatest

1) h(x) -----> axis of symmetry -2

2) f(x) -----> axis of symmetry 0

3) g(x) -----> axis of symmetry 4

so

h(x),f(x),g(x)

7 0
3 years ago
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