Mary deposits $550 in a savings account at 3% simple annual interest. The
value of this account, v, is given by the function v = 550 + 16.5t, in which t
is the number of years the money is in the bank. What is the domain &
range of this function?

Answers

Answer 1

Answer:

Domain: [tex]t \geq 0[/tex]

Range: [tex]v \geq 550[/tex]

Step-by-step explanation:

Given

[tex]v = 550 + 16.5t[/tex]

Required

Determine the domain and the range

Solving for domain:

From the question, we understand that t represent years.

Because years can't be negative;

Then, we can conclude that the domain, t is:

[tex]t \geq 0[/tex]

Solving for Range:

We solved domain to be [tex]t \geq 0[/tex]

This implies that the minimum value of t is [tex]t = 0[/tex] and the maximum is infinity

Substitute 0 for t in [tex]v = 550 + 16.5t[/tex]

[tex]v = 550 + 16.5(0)[/tex]

[tex]v = 550 + 0[/tex]

[tex]v = 550[/tex]

Hence;

The range is [tex]v \geq 550[/tex]


Related Questions

f(x)=2x -7, What is x when f(x)=-15?

Answers

Answer:

x = -4

Step-by-step explanation:

Plug in -15 into the equation:

f(x) = 2x - 7

-15 = 2x - 7

Solve for x:

-15 = 2x - 7

-8 = 2x

-4 = x

5x+6= 5(x+1)-2 I need

Answers

1234567890

i searched it up trust me

Answer:

No solution.

Step-by-step explanation:

[tex]5x+6= 5(x+1)-2\\5x+6=5x+3\\5x=5x-3\\0=-3[/tex]

Since 0=-3 is not valid, the equation doesn't have a solution.

PLEASE HELP QUICKLY! I KNOW THE ANSWER IS 65 BUT WHAT DOES F REPRESENT??

The equation 201.50 = f + 6.50(21) represents the cost of printing the shirts at a second printing company. Find the solution to the equation and state what the solution represents in this situation.​

Answers

Answer:

maybe it means how many shirts

Answer:

F= 65

Step-by-step explanation:

Hope it helps

Given f(x) = 2x2 – 1 and g(x) = x + 3, find f(g(-5))

Answers

Answer:

7

Step-by-step explanation:

f(x) = 2x2 – 1 and g(x) = x + 3,

f(g(-5))

First find g(-5)

g(-5) = -5 + 3

g(-5) = -2

Then substitute into f(x)

f(-2) = 2 ( -2) ^2 -1

      = 2 ( 4) -1

      = 8-1

     = 7

Sam sharpens pencils for his after school job. He can sharpen 26 pencils in 6 minutes. If he keeps this rate, how many pencils can he sharpen in 15 minutes?​

Answers

Answer:

234

Step-by-step explanation:

multiply 26 x 9

Rotate the shape 180 degrees counterclockwise around B

Answers

Answer:

see attached

Step-by-step explanation:

Write 0.39 as a fraction in simplest form.
To write the repeating decimal as a fraction, first let n=0.39. Then
find 100n.
n = 0.39
100n = 39.39
Subtract to eliminate the repeating part.
100n = 39.39
n = 0.39
99n =

Answers

Answer: 39/100 and percentage is 39%

Step-by-step explanation:

HELP ME FOR BRAINETEST PLS

Answers

Answer: the first one is when you multiply it, the second is where you divide it

Step-by-step explanation:

Because they are different equations that are similar but one just uses multiplication and the other uses division.

4x+57=−133 what is x

Answers

4x + 57 = -133

Subtract 57 from both sides.

4x = -190

Divide each side by 4

x = -47.5

answer

-47.5

steps

-133 - 57 = -190

-190 divided by 4 = -47.5

-3 ÷ -1 − -1 show your work step by step

Answers

Answer:

4

Step-by-step explanation:

-3/(-1)-(-1)

simplify this first

-3/(-1) + 1

Order of Operations : Division first

-3/-1 = 3 since negative ÷ negative = positive

3+1

=4

Hope this helps :)

(-3-5/)(-3+5/)=
34
34-30i
-16

Answers

Answer:

(m+ni)2=  -16 - 30i

2m + 2ni = -16-30i

.)2m=-16            .)2n=-30

m= -8                   n= -15

por lo tanto.....

m2 + n2

(-8)2 + (-15)2

-16 + (- 30 )

-16 - 30

-46

respuesta.....   - 46

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Given

(- 3 - 5i)(- 3 + 5i) ← expand using FOIL

= 9 - 15i + 15i - 25i² [ i² = - 1 ]

= 9 + 25

= 34

our solutions to elimin:
ate
2. 3+5x = 3x - 9

Answers

Answer:

x=−6

Step-by-step explanation:

Let's solve your equation step-by-step.

3+5x=3x−9

if g(x) = x^2 -1, find g(-3)

Answers

Step-by-step explanation:

>>▪︎g(x)=x²-1▪︎<<>>▪︎g(3)=3²-1▪︎<<>>▪︎=9-1▪︎<<>>▪︎8▪︎<<

Does anyone know how to solve this?

Answers

Answer:

14.76

Step-by-step explanation:

First find the length of the diagonal across the bottom using the Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

12^2+5^2 = c^2

144+25 = c^2

169 = c^2

Take the square root of each side

sqrt(169) = sqrt(c^2)

13 = c

Then find the length of the diagonal across the  middle using the Pythagorean theorem

7^2 + c^2 = d^2

7^2 + 13^2 = d^2

49+ 169 = d^2

218 = d^2

Take the square root of each side

sqrt(218) = sqrt(d^2)

14.76482306 = d

To the nearest thousandth

14.76

-2x + 3y = 9, solve for x

Answers

Answer:

If your going to graph it , it would be x=3/2y+ -9/2

Step-by-step explanation:

A pack of six cans of coffee cost $12. How much would 19 cans of coffee cost?

Answers

Answer:

228

Step-by-step explanation:

12 times 19

Pls halp due today >_<. Thank you

Answers

Answer:

>

Step-by-step explanation:

Pretty self explanatory but if you pop it in your calculator the left is greater.

Sqrt(2) + 3 = 4.4

Sqrt(7) - 3 = -0.35

The correct answer is,

Sqrt(2) + 3 > sqrt(7) - 3

What is the equivalent fraction of 0.95

Answers

.95 as a fraction would be 95/100

In simplest form this would be 19/20

la cancha de futbol del colegio es de forma rectangular, pedro es el cargado de colocar un lazo alrededor para que nadie entre ala cancha si el ladao largo mide 100 mertros y el lado mas corto mide 64 metros ¿ cuanto debe medir el lazo

Answers

Answer:

328 metros

Step-by-step explanation:

Aquí, estamos interesados ​​en colocar un bucle alrededor de un campo de fútbol de la escuela de manera que sea imposible que alguien pueda acceder al campo.

Matemáticamente, la longitud de este bucle sería igual al perímetro del campo.

El perímetro del campo rectangular se puede calcular usando la fórmula; 2 (L + B)

En este caso tenemos; P = 2 (100 + 64)

P = 2 (164)

P = 328 metros La longitud del bucle es de 328 metros.

4y-x=6 solve the equation for x

Answers

Answer:

x=6

Step-by-step explanation:

you have to find the y value which should be 3 then subtract the x value. Which should be 6

Simplify by combining like terms.
1. 5a-a​

Answers

5a-a=4a you subtract five from one and get four a

Solve for x: -2(x + 3) = -2(x + 1) - 4. (1 point)
a
2.
CA
3
ос
All real numbers
Od
No solution

Answers

Answer:

no solution

Step-by-step explanation:

[tex]-2 ( x + 3) = -2 (x + 1) -4 \\-2x + 3 = -2x -2 -4\\-2x + 3 = -2x - 6[/tex]

add [tex]2x[/tex] to both sides

[tex]-2x + 3 + 2x = -2x - 6 + 2x \\3 = -6[/tex]

That's impossible

so the equation no solution

Answer:

All real numbers ( -∞ ,∞)

Step-by-step explanation:

          Simplify [tex]-2(x+3)[/tex]

          Apply the distributive property.

[tex]-2x-6=-2(x+1)-4[/tex]

          Simplify  

[tex]-2(x+1)-4[/tex]

[tex]-2x-6=-2x -6[/tex]

          Move all terms containing  x  to the left side of the equation.

          Add  2  x  to both sides of the equation.

[tex]-2x-6+2x=0[/tex]

          Combine the opposite terms in  

[tex]-2x-6+2x[/tex]

          add [tex]-2x[/tex] and [tex]2x[/tex]

[tex]0-6= -6[/tex]

[tex]-6= -6[/tex]

Since [tex]-6= -6[/tex] , the equation will always be true for any value of  x .  All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

( − ∞ , ∞ )

Stephen had $101 to buy 9 pairs of PEMDAS socks. After buying them, he had 11 dollars
left. How much did each pair of socks cost?

Answers

Answer:

They are 10 dollars a piece

0.63 repeating as a fraction

Answers

Answer:

63 100

Step-by-step explanation:

To convert the decimal 0.63 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one: 0.63 = 0.63 1.

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

Answer:

7/11

Step-by-step explanation:

I need help. Someone pls answer 50 and 40. I'm giving 25 brainly

Answers

Answer:

I'm not sure if you're supposed to answer the question in numbers, i think you move the boxes "rational" and "irrational" in the rectangles provided below each question.

is 25 a perfect square

Answers

Answer:

Yes it is

Step-by-step explanation:

this is because when you multiply 5x5 you get 25

How do you solve 1/2x x 3/5y=5

Answers

1/2 is a fraction so it is 5
1/2 times (x times x)
3/5y = 5

5 is your answer :)

graph the function and its parent function on the calculator . Then describe the transformation.

Answers

“Vertical translation up” because the parents fuction which is the f(x) is equal to x^2

Solve for Y: when X = 6 y= 2x +1

Answers

Answer:

y=13

Step-by-step explanation:

2(6)+1

=12+1

=13

Answer:

y=13

Step-by-step explanation:

by replacing x in the equation with 6 the equation becomes y=2(6)+1 this is just a simple equation that you use to get the answer. 2×6 is 12 and 12+1=13 so y=13.

Can someone please assist me with this? If so praise God :)

Answers

Answer:

option 1

Step-by-step explanation:

the square root of 6 is 2.44949, rounded it's 2.4

the square root of 42 is 6.48074, rounded it's 6.5

in option 1 the 6 is placed after the 2 because it is point 4, not quite 2 but a bit bigger than 2 but less than 3.

same thing for 42, it is placed after 6 because it is not quite 6 but not over 7. i hope this helped

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