Mathematics High School

The price of a computer component is decreasing at a rate of ​10% per year. State whether this decrease is linear or exponential. If the component costs ​$ 110 today, what will it cost in three​ years?

Answers

Answer 1

Answer:

The cost in 3 years is $80.19.

Step-by-step explanation:

The cost of computer component is $110 today.

The cost is decreasing at a rate of 10% per year.

When it decreases by 10% per year then it is exponential.

Initial cost is $110. When it decreases 10% per year, the decay factor is 1-0.10 =0.90.

So, we could use the exponential formula y=[tex]ab^{x}[/tex]

Where 'a' is initial cost and b is decay factor.

Our equation would by plug in 'a' as 110 and 'b' as 0.90.

We get

[tex]y= 110(0.9)^{x}[/tex]

Now, to find the cost in 3 years, use x as 3.

[tex]y=110(0.9)^{3}[/tex]

Which is simplified to

y=$80.19

Related Questions

f the total labor cost is $865,000 abd 12 percent is for concession staff, how much of the labor cost is for concession staff?

Answers

Answer:

to solve this get a calculator ans do 865.000 divided by 12 percent and u have ur answer

Answer:

103 800

Step-by-step explanation:

Well iif you do 12% of 865,000 then you get 103 800

From his house, Shane could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house. It is 8 miles from Shane's house to his parents' house and a straight-line distance of 17 miles from his parents' house to his grandparents' house. How far is Shane from his grandparents' house?

Answers

Answer:

15 miles

Step-by-step explanation:

It is given that,

Shane could drive due north to get to his parents' house or he could drive due east to get to his grandparents' house.

It is 8 miles from Shane's house to his parents' house and a straight-line distance of 17 miles from his parents' house to his grandparents' house.

It can be calculated by considering a right angled triangle. Using pythagoras theorem, we can find the distance between Shane from his grandparents' house. Let it is d.

[tex]d^2=\sqrt{17^2-8^2} \\\\=15\ \text{miles}[/tex]

Hence, Shane is 15 miles from his grandparents' house.

Solve the system of equations by SUBSTITUTION
y=11+4x
3x+2y=0

Answers

Answer:

x=-2, y=3

Step-by-step explanation:

substitute 11 + 4x into the second equation for y

3x + 2(11+4x) =0

3x +22+8x=0

11x=-22

To solve for y: y=11+4(-2)

a = 6x-11
g= 36
n = 7x - 27
Solve for x

Answers

Answer:

6x - 11 + 7x - 27 = 36

6x + 7x = 13x

-11 + (-27) = -38

13x - 38 = 36

-38 - 36 = -74

13x/13 = -74/13

x = -74/13

Step-by-step explanation:

can no longer be simplified

I’ll give brainliest if correct plz

Answers

Answer:

Natalie.....

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PLZZZ HELPPPPPPPPPPP

Answers

Answer:

?=6

Step-by-step explanation:

6/9=2/3

6/9 is the non-simplified version of 2/3

Answer:

6/9

Step-by-step explanatiquick mafs

Can someone really help me please

Answers

Answer:

45-4=41 square units

Step-by-step explanation:

full shape area = 9x5=45

cut rectangle area = 4x1=4

blue shape area = 45-4=41

In triangle ABC, angle A is 34 degrees, and angle B is 20 degrees. What is the measure of Angle C
A=34
B=180
C=126
D=54

Answers

Answer:

c

Step-by-step explanation:

34+20=54

180-54=126

Answer:

the measure of Angle C is 126 degrees

Step-by-step explanation:

all three angles add up to 180.

to find the answer add the measures of Angle A and Angle B together to get 54 degrees, next you subtract 54 degrees from 180 degrees to get 126 degrees

Determine the area of the shaded region below. ​

Answers

Answer:

the answer is 19square units

Answer:

big square -small rectangle

(5×5)-(2×3)

25-6

19 sq units

Which expressions are equivalent to 3 1/4-(-5/8)

A 3 1/4-(5/8)

B 3 1/4 + (5/8)

C 3 1/4 + (-5/8)

D 3 1/4 + (+5/8)

E -3 1/4 + (-5/8)

F -3 1/4 + (+5/8)

Answers

B 3 1/4 + (5/8)

D 3 1/4 + (+5/8)

Of u wanted only one answer it's B

The expressions that are equivalent to [tex]3\frac{1}{4} -(-\frac{5}{8} )[/tex] are

[tex]3\frac{1}{4} +(\frac{5}{8} ) \\\\3\frac{1}{4} +(+\frac{5}{8} )[/tex]

for understanding check the calcualtions here

Calculation

an expression is the combination of numbers and operators like +, - * or /

If we have any equal sign then it is an equation .

Given expression is :

[tex]3\frac{1}{4} -(-\frac{5}{8} )[/tex]

to find out equivalent expression  we  remove the parentheisis  by multiplying negative inside the parenthesis

Negative  times negative becomes positive

first fraction is positive . So it remains the same

Multiply negative inside the parenthesis . Negative times negative is positive

so, the equivalent expressions are

[tex]3\frac{1}{4} +(\frac{5}{8} ) \\\\3\frac{1}{4} +(+\frac{5}{8} )[/tex]

Learn more information about 'Expressions' here

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PLEASE HELP THIS IS DUE BY TOMORROW

Answers

Answer:b

Step-by-step explanation:

SOMEBODY PLEASE HELP ME I WILL MARK BRAINLIEST

Answers

Answer:x=52

Step-by-step explanation:as SRQ is a right triangle,

<SQR=180°-(90+34)°

=56°

again, < SQR+<SQP=180°

< SQP=124

x+72°=124

x=52°

Answer:

x=52

Step-by-step explanation:

the answer is x=52.

The sum of a number a and negative 12 is 6. Write the equation.

Answers

A+-12=6. Hope this helps
a + -12 = 6
basically we’re trying to find A. In order to find A, you can just rewrite the equation by flipping it. -12 - 6= isss?

Select whether each function is linear or nonlinear.



Linear

Nonlinear

y=9(2x)


y=(5x+3)2


y=8x2


y=5x−3


y=3x2+2x−1

Answers

Answer:

liner Y=9(2x)  Y=5x-3

Step-by-step explanation:

The equations which are linear are

a) y = 9( 2x )

b) y = ( 5x + 3 )2

d) y = 5x - 3

The equations which are non linear are

c) y = 8x²

e) y = 3x² + 2x - 1

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

a)

Let the equation be y = 9( 2x )

Now , on simplifying the equation , we get

y = 18x

Now , this is a linear equation in 2 variables of the from y = mx + c

So , the equation is linear

b)

Let the equation be y = ( 5x + 3 )2

Now , on simplifying the equation , we get

y = 10x + 6

Now , this is a linear equation in 2 variables of the from y = mx + c

So , the equation is linear

c)

Let the equation be y = 8x²

Now , on simplifying the equation , we get

y = 8x²

This is a quadratic equation , and is not linear

So , the equation is non linear

d)

Let the equation be y = 5x - 3

Now , on simplifying the equation , we get

y = 5x - 3

Now , this is a linear equation in 2 variables of the from y = mx + c

So , the equation is linear

e)

Let the equation be y = 3x² + 2x - 1

Now , on simplifying the equation , we get

y = 3x² + 2x - 1

This is a quadratic equation , and is not linear

So , the equation is non linear

Hence ,

The equations which are linear are y = 9( 2x ) , y = ( 5x + 3 )2 and y = 5x - 3

The equations which are non linear are y = 8x² and y = 3x² + 2x - 1

To learn more about equations click :

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11. Jada is making pink paint by mixing 3.5 quarts of red paint with 3/4 cup of white paint. How much red paint should be mixed with 6 cups of white paint to make her shade of pink? *

Answers

Ansnwer

i was asking  this

Step-by-step explanation:

i was asking the same thing

28

xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Triangle ABC has coordinates A(1, 1); B(2, 5); C(5, 1). What would be the coordinates of A'B'C' if you translated ABC left 2 and up 5 units? (Hint: x-values go left and right; y-values go up and down) *
A'(-1, 6) B'(0, 10) C'(3, 6)
A'(3, -4) B'(4, 0) C'(7, -4)

Answers

Answer:

A'(-1, 6) B'(0, 10) C'(3, 6)

Answer:

I would say it's the first one

Calculate the surface area of a solid box in the shape of a cube with side length 11cm.ILL MARK U BRAINEST!!!

Answers

Answer:

11 x 11 = 121   121 x 6 = 726 cm

Step-by-step explanation:

Hope this helps

(Will get marked brainly!) If the expression 3x+10 is equivalent to -2x, what must be the value of x be?

Answers

Answer:

guess

Step-by-step explanation:

i cant help but ik its algerbra or something (:

determine the domain of the following graph

Answers

Answer: [tex]-2 \leq x \leq 9[/tex]

Step-by-step explanation:

The domain is the set of x-values for which the relation is defined.

The domain of the graph will be -2 ≤ x ≤ 9 which is shown in the given figure.

What are the domain and range of the function?

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

The domain of a graph is the set of all possible input values (also called the independent variable) that can be plotted on the graph. In other words, it is the range of values that the horizontal axis (also called the x-axis) of the graph covers.

To determine the domain of a given graph, you will need to look at the labels and scale of the x-axis.

The domain of a graph is the set of all possible input values in intervals as -2 ≤ x ≤ 9 that can be plotted on the graph.

Thus, the domain of the graph will be  -2 ≤ x ≤ 9, as indicated in the illustration.

Learn more about the domain and the range here:

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whos good at math? i am so upset right now just please help me out.. :(

Answers

What do you need help with?

add 8 to 10, multiply the result by v, then raise what you have to the 4th power

Answers

18v to the fourth power


Which statement is true?

Answers

Answer: A

Step-by-step explanation:

Square root of 35 is 5.9161

need to know how to do this problem.

2^2+3*(6_3)^2

Answers

Answer:

If 6_3 means 6-3, do parentheses first and get:

22 + 3* 32=

Then exponents!

4+ 3*9=

4+27=

31

Help plsss I need to pass math

Answers

Answer:

ASA

Step-by-step explanation:

Use the given congruent sides and angles. Add the congruent vertical angles. Now you have ASA.

14 is a ____ of 7 and 14
Complete the following sentence using the correct term

Answers

14 is a multiple of 7 and 14
I hope this helps

Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Enter the correct answer.

Answers

Answer:

y= 3/2x + 1

Step-by-step explanation:

slope intercept form is y=mx+b. the m is the slope and the b is the y intercept. the y intercept is 1, where it crosses the y axis. the slope is 3/2 because from the y intercept which is 1, you go up 3 and over 2 right.

Andre builds a form for a new cement step in the shape of a rectangular prism. The form he builds is 40 and 1/2 inches long, 10 inches deep, and 8 inches high. How much cement is needed to fill the form?

Answers

Answer:

3240 in^3

Step-by-step explanation:

Step one:

given data

The dimension of the form

Length 40 and 1/2 inches long,

Depth 10 inches deep,

The width and 8 inches high

Step two:

The amount of cement is equivalent to the volume of the form

[tex]V=L*W*H\\\\V=40.5*10*8\\\\V=3240 in^3[/tex]

Hence the volume of cement is 3240 in^3

Whats the value of c? 60 - (3c + 4) = 4(c + 6) + c

Answers

Answer:

c=4 hope this helpss

Step-by-step explanation:

                                          Answer and Explanation

__________________________________________________________

The value of "c" is 4.

Here's why.

__________________________________________________________

[tex]60-\left(3\cdot c+4\right)=4\cdot\left(c+6\right)+c[/tex]

What does c equal???

__________________________________________________________

Let's try using all numbers to find out what it is

[tex]60-\left(3\cdot 4+4\right)[/tex] = [tex]44[/tex]

[tex]4\cdot\left(4+6\right)+ 4[/tex] = [tex]44[/tex]

So it's 4!

__________________________________________________________

Hope this helps! <3

__________________________________________________________

Solve for r
3х + 2 = 11
ОА. п
В. 3
Ос. 1
OD.
13
ОЕ. 6

Answers

your answer is b, x= 3

Answer:

b

Step-by-step explanation:

I recommend the website tiger algebra calculator its really helps!

2. Express each of the following percentages as a decimal.
12%​

Answers

Answer:

.12

Step-by-step explanation:

if it is out of 100% then 12% is equal to .12 from 1

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