A savings account balance is compounded annually. If the interest rate is 2% per year and the current balance is $1,377.00 what will the balance be in 15 years?

#1

Passes through

y=x² passes through (-1,1)

Stepped 4 times

#2

First make a negative as parabola is opening downwards.

Passes through (1,-2)

y=-x² passes through (1,-1)

So

final graph

Answer:

a)  Stretched parallel to the y-axis by a scale factor of 5

b)  Stretched parallel to the y-axis by a scale factor of 5/2 and reflected in the x-axis.

Step-by-step explanation:

Transformation

y = a f(x)

[tex]\textsf{Parent function}:\quad y=x^2[/tex]

[tex]\textsf{Transformed function}:\quad y=5x^2[/tex]

Transformation:  Stretched parallel to the y-axis by a scale factor of 5.

[tex]\textsf{Parent function}:\quad y=x^2[/tex]

[tex]\textsf{Transformed function}:\quad y=-\dfrac{5}{2}x^2[/tex]

Stretched parallel to the y-axis by a scale factor of 5/2 and reflected in the x-axis.

[tex] {t}^{3} = \frac{64}{27} \\ [/tex]

[tex]t = \sqrt[3]{ \frac{64}{27} } \\ [/tex]

[tex]t = \frac{ \sqrt[3]{64} }{ \sqrt[3]{27} } \\ [/tex]

[tex]t = \frac{4}{3} \\ [/tex]

Answer:

-> (x,y) => (1,5)

Step-by-step explanation:

Let's solve your system by elimination.

18x−7y=−17;3x−3y=−12

Multiply the second equation by -6, then add the equations together.

(18x−7y=−17)

−6(3x−3y=−12)

Becomes:

18x−7y=−17

−18x+18y=72

Add these equations to eliminate x:

11y=55

Then solve 11y=55for y:

11y=55

11y/11 = 55/11

(Divide both sides by 11)

y=5

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

18x−7y=−17

Substitute5foryin18x−7y=−17:

18x−(7)(5)=−17

18x−35=−17(Simplify both sides of the equation)

18x−35+35=−17+35(Add 35 to both sides)

18x=18

18x/18 = 18/18

(Divide both sides by 18)

x=1

Answer:

300 students were surveyed.

Step-by-step explanation:

Well, we know that 57% of students like blue, so that leaves 43% who like red. By simply dividing 129 by 43, we get 3, so know we can conclude that 1% is equal to 3 students. Knowing this, we can multiply 3 by 57 to get 171. Adding these up, we get 300, and we can verify this, by simply finding the difference between 57 and 43, which is 14. Now that we also know that 1% is equal to 3 students, we can multiply 14 by 3, to get 42, which is also the difference between 171 and 129.

Answer:

50,12

Step-by-step explanation:

any number that has 5 in the tensplace is correct

1/10 of 100 is 10

Answer:

2 (y-value increase as x-value also increase)

Step-by-step explanation:

Lets look at the graph! when x is 7, y is 4. and when x is 9, y is 5 which is proving that they BOTH increase

Answer:

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -0)/(-1 -(-3)) = 2/2

  m = 1 . . . . . the slope of the line is 1

__

The value of the y-intercept can be found by solving the slope-intercept equation for b.

  y = mx +b

  b = y -mx

  b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)

The equation of the line with slope 1 and y-intercept 3 can be written as ...

  y = x +3

side of rhombus: 2.44 inch

Use the sine rule:

[tex]\sf \dfrac{sin(A)}{a} = \dfrac{sin(B)}{b}[/tex]

=============                       Let the side be "b"

[tex]\rightarrow \sf \dfrac{sin(110)}{4} = \dfrac{sin(35)}{b}[/tex]

[tex]\rightarrow \sf b = \dfrac{sin(35)*4}{sin(110)}[/tex]

[tex]\rightarrow \sf b = 2.441549178[/tex]

[tex]\rightarrow \sf b =2.44 \ in[/tex]

Answer:

3.5 in (nearest tenth)

Step-by-step explanation:

Properties of a rhombus:

Therefore, a rhombus is made up of 4 congruent right triangles.

** see attached diagram **

To find the side length of the rhombus, we need to calculate the hypotenuse of the right triangle.

As the shorter diagonal is 4 in, the base of the right triangle is 2 in

The angles that measure 110° are the angles by the shorter diagonal.  Therefore, the base angle of the right triangle is 55°

Using cos trig ratio:

[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

[tex]\implies \sf \cos(55^{\circ})=\dfrac{2}{x}[/tex]

[tex]\implies \sf x=\dfrac{2}{\cos(55^{\circ})}[/tex]

[tex]\implies \sf x=3.486893591...[/tex]

Therefore, the side of the rhombus is 3.5 in (nearest tenth)

Answer:

x = - 15

Step-by-step explanation:

[tex]\frac{x}{9}[/tex] + [tex]\frac{1}{3}[/tex] = - [tex]\frac{4}{3}[/tex] ( multiply through by 9 to clear the fractions )

x + 3 = - 12 ( subtract 3 from both sides )

x = - 15

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=−15

Answer:

1/x^2

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x5"   was replaced by   "x^5".  1 more similar replacement(s).

Step 1:

Simplify x^3 / x^5

Dividing exponential expressions :

x^3 divided by x^5 = x ^ (3-5) = x^(-2) = 1/x^2

Answer:4

Step-by-step explanation:

2 slices each ten people times them together 20 slices .4 pizzas*5slices=20

Answer:

Step-by-step explanation:

Angles a and 60°, also c and 65° are alternate interior angles and therefore are equal:

Angles b and 65° form a linear pair, so they sum to 180°

Answer:

a = 60°

b = 115°

c = 65°

Step-by-step explanation:

Alternate Interior Angles Theorem

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent (same).

Therefore, a = 60° and c = 65°

Angles on a straight line sum to 180°

⇒ b + 65° = 180°

Subtracting 65° from both sides:

⇒ b + 65° - 65° = 180° - 65°

⇒ b = 115°

Answer:

this equation has 1 answer

Step-by-step explanation:

x = 2

Answer:

A "zero" of a polynomial is a value of x at which the polynomial, when evaluated, is equal to zero. Since (−x)4=(−1)4x4=x4 ( − x ) 4 = ( − 1 ) 4 x 4 = x 4 , the zero 0 has multiplicity 4 .

...

Considering the given focus and directrix, the equation of the parabola is given by:

[tex]y = -2.375x^2[/tex]

The equation of a parabola, with a directrix in y, is:

[tex]y - k = a(x - h)^2[/tex]

In which:

In this problem, we have that the x-coordinate of the vertex is h = 0.

From the focus and the directrix, we have that:

k+C = -9.5

k - c = 9.5.

Hence k = 0, C = -9.5 = a = 0.25C = -2.375.

Thus the equation of the parabola is given by:

[tex]y = -2.375x^2[/tex]

More can be learned about the equation of a parabola at https://brainly.com/question/26144898

Answer:

x=1 y=4

Step-by-step explanation:

5x+y=9

10x-7y=-18

-35x-7y=-63

-45x=-45

x=1

y=4

(10)-(28)=18

Brainliest would be appreciated

Answer:

x=1 y=4

Step-by-step explanation:

a

Answer:

im sorry I don't know I didn't do stuff like this in school

Answer:

Step-by-step explanation:

Let the area of water is w and area of land is l.

Their ratio is:

or

Find the value of l

Let that be x

Answer:

True

Step-by-step explanation:

The triangles are both right triangles, meaning they can be used with pythagorean theorem. If the triangles CAD and CBD share the same "hypotenuse" (CD), and they have a pair of congruent sides, they other pair of sides must be able to fit into the pythagorean theorem/

Answer:

DWest I think

Step-by-step explanation:

I dont really know if this is right so pls forgive me if this is wrong.

Answer:

$3.99

Step-by-step explanation:

a gallon of gas=2.17$

12 gallons of gas=2.17$×12 =26.04$

2 jugs of anti freeze =7.98$ × 2 = 15.96$

a bottle of oil = 2.49$

tax= 1.52$

total= 46.01$

he paid 50$

so the change could be 50$-46.01$ = 3.99$

the answer is 3.99$

Answer:

K=6

Step-by-step explanation:

I hope this answer is right

Step-by-step explanation:

a^2 + b^2 = c^2

5^2 + b^2 =11^2

25 + b^2 = 121

b^2 = 121 - 25

b^2 = 96

b =9.8

I don't know if this what you need but I hope this helps

[tex]3\times 5 +4 \times 2- 3\\\\=15+8-3\\\\=12+8\\\\=20[/tex]

Answer:

a13

Step-by-step explanation:

a^9 × a^4 = a(9 + 4)

= a13

Answer:

volume of cuboid = lbh = 8.2 ft x 9.4 ft x 10.7 ft

= 824.8 ft^3