Mathematics High School

The function c ( x ) = 63 ⋅ ( 1.03 ) x models the cost in dollars, c , of 1 ounce of a certain chemical used in a laboratory. x represents the number of years since 1990.



How much does an ounce of the chemical cost in 2005? (Do NOT type the $ with your answer.)

Answers

Answer 1

9514 1404 393

Answer:

  $98.15

Step-by-step explanation:

2005 is 15 years after 1990. Using the formula we find ...

  c(15) = 63·1.03^15 ≈ 63·1.55797

  c(15) ≈ 98.152

An ounce of the chemical costs about $98.15 in 2005.

Related Questions

Solve the simultaneous equations
3x−2y=27
3x−y=24
x=? y=?
I can do this easily with positives but somehow I just don't understand a bit in negatives, can anyone help?
None of my answers are working.

Answers

Answer:

3x-2y=24 _____ (1)

2x-3y=18 _____ (2)

multiply (1) by 2

6x - 4y = 48

multiply (2) by 3

6x-9y=54

subtracting

6x - 4y = 48

6x - 9y = 54

- + -

___________

5y = -6

y=−

5

−6

3x−2(−

5

6

)=24

=3x+

5

12

=24

=3x=24−

5

12

=

5

120−12

=

5

108

∴x=

5

36

x+y=

5

36−6

=

5

30

=6

x−y=

5

36+6

=

5

42

solution

Step-by-step explanation:

according to me this should be the answer

good luck

hope it becomes helpful to you ☺️☺️

The x and y value from the given system of equations are 7 and -3 respectively.

What is a linear system of equations?

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

The given simultaneous equations are 3x-2y=27 ------(I) and 3x-y=24 ------(II) .

Subtract equation (I) from (II), we get

3x-y-(3x-2y)=24-27

⇒ y=-3

Substitute y=-3 in equation (I), we get

3x-2(-3)=27

⇒ 3x=21

⇒ x=7

Therefore, the x and y value from the given system of equations are 7 and -3 respectively.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ2

Someone help please and please make sure it’s right :)

Answers

Answer:

11

Step-by-step explanation:

5x + 5 = 4x + 16 ( being alternate angles)

5x - 4x = 16 - 5

x = 11

Hope it will help :)

Estimate 1188+405+848 by first rounding each number to the nearest hundred

Answers

Answer:

about 2300

Step-by-step explanation:

Hurry I'll give brainliest if right!!! and Alot of points
if I is parallel to m, find the value of X and Y

​

Answers

Answer:

x = 21

y = 15

Step-by-step explanation:

Exterior angles on the same side of the transversal are supplementary

So, 3x - 16 + 6x + 7 = 180

9x -9 = 180

9x = 189

x = 21

11y - 32 = 6x + 7 since the angles are vertical angles

11y - 32 = 6(21) + 7

11y - 32 = 126 + 7 = 133

11y = 165

y = 15

PLS HELPPPPPPPPPPPPPPPP ill give BRAINLIEST

Answers

Answer:

Your answer is, "Form two 45(degree) angles at each vertex."

Step-by-step explanation:

I have 8 more questions to ask after this I really would use help rn ty

Answers

It’s a complementary angle because it sum up to 90 degrees

Answer: complementary

Step-by-step explanation:

Wich equation represents the relationship between x and p?

Answers

It’s A because (x) the number of cake equal 12 in price

what is the greatest common factor of 24.x*y–97P-12ry?​

Answers

Answer:

1

Step-by-step explanation:

Find the greatest common factor (GCF) of the terms, and use the GCF to find a list of common factors.

(next time add more points!)

Cynthia besch wants to buy a rug for a room that is 18ft wide and 35ft long she wants to leave a uniform strip of floor around rug she can afford to buy 528 ft of carpeting what dimensions should rug have

Answers

Answer:

rug long = 34 ft

rug wide = 17 ft

Step-by-step explanation:

given data

wide = 18 ft

long = 35 ft

area of carpet  = 528 ft

solution

we get here area of floor that is

and we consider length of carpet = 35 - 2x

and width = 18 - 2x

(35 - 2x) × (18 - 2x) = 528      ...................1

solve it we get

x = 25.5 and x = 1

we choose 1 ft. as the width of the strip

so rug long = 35 - 1  = 34 ft

and rug wide = 18 - 1 = 17 ft

PLZ HELP I NEED HELP ASAP PPLLLZZZZ

Answers

1 and 2/5 ft after you multiply both length and width.

if you get 0=0 is that no solution or IMS

Answers

looks like that would be ims

0=0 means that you will have an infinite number of solutions, so IMS

3. Solve by completing the square.
x^2+8x-9=0​
The solutions are x =

Answers

Answer:

is it like exponets

Step-by-step explanation:

Step 1: Factor left side of equation.
(x - 1)(x + 9) = 0

Step 2: Set factors equal to 0.
x-1=0 or x+9=0
x = 1 or x = -9

The solutions are x = 1 or x = -9

HELP QUICK!! solve by substitution and show work please

Answers

4x-1=x-2
3x=-1
x=-1/3 is the answer

Answer:

(-1,-3)

Step-by-step explanation:

Substitute y=x-2 into y=4x+1

x-2=4x+1

substract -1 on both sides.

x-3=4x

subtract x on both sides

-3=3x

divide by 3 on both sides

x=-1

Substitute -1 into equation

y=x-2

y=(-1)-2

y=-3

So it would be (-1,-3)

Hoped it helped!

A baker dozen (13) of cookies is on sale f of 4.94. How much does each cookie cost

Answers

A baker dozen is 13 , it would be $0.38. All you have to do is divide 4.94 by the amount of cookies.

I wanna do good on this plz help me!!

Answers

Answer:

2/1

Step-by-step explanation:

JA is the same side as KM

JA=24, KM=12

24/12=2

help pretty please:) i really would appreciate it :D

Answers

Answer:

The answer should be true

It might be true not 100% but good luck!

SOMEONE PLZ HELP I WILL GIVE 20POINTS IF U ANSWER 2 QUESTIONS
PLZ QUICKLY :)

Answers

Answer:

1. t=2m

Rewrite the equation as 2m=t.

2m=t

Divide each term by 2 and simplify.

m=t/2

2. y=2x+1

Isolate the variable by dividing each side by factors that don't contain the variable.

x=y/2−1/2

Step-by-step explanation:

Hope it is helpful....


The area of a right-angléd triangle is
24 m². The base is 8 cm. Find the length
of its hypotenuse in cm.​

Answers

Answer:

10cm

Step-by-step explanation:

Right angle triangle area= ab/2

GO IN REVERSE

24 x2= 48

48/8=6

now you have the 2 side you need to use Pythagoras

6^2+8^2=100

square root of 100=10cm

so the hypotenuse is 10 cm

I NEED HELP PLSS WILL GIVE BRAINLIEST
STEP BY STEP

vxy-4+4by

x = 1
b= -2
y = -1
v = 3

Answers

Answer:

the answer is 1

Step-by-step explanation:

(3)(1)(-1)-4+4(-2)(-1)

3(-1)-4+4(-2)(-1)

-3-4+4(-2)(-1)

-3-4-8(-1)

-3-4+8

-7+8

1

Find the real solution(s) of the equation 5x3 = 1080.

Answers

5x^3=1,080

1. Divide both sides by 5.
x^3=216
2. Write 216 in exponential form.
x^3=6^3
3. Root.
x=6
Solution: x=6

PLEASE HELPPP
which of these choices are equivalent to the quotient below check all that apply square root of 100 over the square root of 20

Answers

Answer:

A

Step-by-step explanation:

Please help quick will give brainly

Answers

Answer:

[tex]1134yd^3[/tex]

Step-by-step explanation:

Right Triangular Prism

V = LWH

L = 6yd

W = 21yd

H = 9yd

____________________

Follow the volume formula, and multiply the length by width and height together.

V = LWH

V = (6)(21)(9)

V = 1134yd^3

Determine the value of the variable in each expression.

What is the value of m in the quotient of powers StartFraction 9 Superscript negative 3 Over 9 squared EndFraction = StartFraction 1 Over 9 Superscript m EndFraction?
m =
What is the value of n in the quotient of powers StartFraction x Superscript negative 4 Over x Superscript negative 6 EndFraction = x Superscript n
n =
What is the value of c in the quotient of powers StartFraction (negative 11) Superscript 7 Over (Negative 11) Superscript 0 EndFraction = (Negative 11) Superscript c
c =

Answers

Answer:

Step-by-step explanation:

m = 5

n = 2

c = 7

Answer:

5

2

7

Step-by-step explanation:

PLEASE SOMEONE HELP ME
( There are np answer choices)

Answers

Answer:

whhhhhh

Step-by-step explanation:

it is number 2 because i took the test

Your sister is 2 yrs. Older than your brother. Their age combined is 30 yrs. What is your sisters age?

Answers

Answer:

the sister is 16

Step-by-step explanation:

30-14= 16 and thats a 2 year difference

Answer:

sister is 16

Step-by-step explanation:

explanation:

16+14=30

so the sister is 16 and the brother is 14. if that makes any sense ;)

Find out the number of ways in which 6 flags can be arranged in a row if 3 red ,2 green, and 3 yellow ?

Answers

Answer:

10 ways

Step-by-step explanation:

Find out the number of ways in which 6 flags can be arranged in a row if 3 red ,2 green, and 3 yellow ?

The above question can be calculated as:

= 6!/(3! × 2! × 3!)

= 720 /(6 × 2 × 6)

= 720/(72)

= 10 ways

I need help with:

if I was asked to think of a number and multiply it by 2, I could write this algebraically as 2x.

write the following algebraically, using x as your unknown

"I think of a number, add 3 to it and multiply the result by 7."​

Answers

Answer:

7(x+3) or 7x+21

Step-by-step explanation:

Joe needs 400g of flour to make 3 cakes. How much flour will he need for 15 cakes

Answers

Answer:

2000g or 2kg

Step-by-step explanation:

3 cakes = 400g (×5)

15 cakes = 2000g

Answer:
2000g


How to solve
3x5 = 15 so 400x5 = 2000g of flour

Draw a diagram of x + 3 and 2x for each situation:
x = 1
x = 2
x = 3
x = 4

Answers

The diagram of x + 3 and 2x are as drawn in the image attached

How to draw a diagram of x + 3 and 2x?

Given the situations: x = 1, x = 2, x = 3 and x = 4

For  x + 3

x = 1, x+3 = 4

x = 2, x+3 = 5

x = 3, x+3 = 6

x = 4, x+3 = 7

For  2x

x = 1, 2x = 2

x = 2, 2x = 4

x = 3, 2x = 6

x = 4, 2x = 8

You will use the values of x and y = x+3, and the values of x and y = 2x to draw the diagram of the lines as shown in the attached image

Learn more about diagram of lines on:

brainly.com/question/29629074

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9. You have a record of your age x (in years) and your height y (in inches) on
each of your birthdays since you were born. Is this a function?

Answers

Answer:

Step-by-step explanation:

The y's can be a duplicate and g(x) can still be a function. Since travelling back in time is not possible, all most all ages along the x axis will produce a function as long as x>0.

It doesn't have to be much over 0 to start counting it. As soon as birth occurs height can be measured and usually is.

The y’s can be a duplicate
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