What are the coordinates for Point S?

Answer:

y = 10(1.01)^60

Step-by-step explanation:

The general equation of exponential growth is

y = ab^x

b has to do with the rate of growth.

b = 1 + r, so in this case, b = 1 + 1% = 1 + 0.01 = 1.01.

Now we have

y = a(1.01)^x

a is the initial value, so now we have

y = 10000(1.01)^x

where y is the number of books after x months

Since you need the number of books after 5 years, we must convert 5 years into months.

5 years * (12 months)/year = 60 months

The problem wants the expression in thousands of books, so we divide the initial value by 1000.

Answer: y = 10(1.01)^60

   Expression representing the number of books after 5 years,              

                           [tex]A(60)=10000(1.01)^{60}[/tex]

          [tex]A(t)=A_0(1+r)^t[/tex]

          Here, [tex]A(t)=[/tex] Final amount

          [tex]A_0=[/tex] Initial amount

           [tex]r=[/tex] Growth rate

           [tex]t=[/tex] Duration or time

Given in the question,

Substitute these values in the expression,

[tex]A(t)=A_0(1+r)^t[/tex]

[tex]A(60)=10000(1+0.01)^{60}[/tex]

      Therefore, expression representing the number of books after 5 years will be → [tex]A(60)=10000(1.01)^{60}[/tex]

Learn more about the exponential growth here,

https://brainly.com/question/10709151?referrer=searchResults

Answer:

C. Keeping track of your debit card transactions will help avoid charges resulting from insufficient funds.

Step-by-step explanation:

Correct on TTM

Answer:

C

Step-by-step explanation:

Answer:

25 tickets

Step-by-step explanation:

Carnival M charges an entrance fee of $5.00 and $0.65 per ticket for the rides. Carnival P charges an entrance fee of $10.00 and $0.45 per ticket for the rides. How many tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same?

Let

x = number of tickets

Carnival M = 5 + 0.65x

Carnival P = 10 + 0.45x

Equate both cost

5 + 0.65x = 10 + 0.45x

5 - 10 = 0.45x - 0.65x

-5 = - 0.20x

x = -5 / -0.20

x = 25 tickets

25 tickets tickets must be purchased in order for the total cost at Carnival M and Carnival P to be the same

Answer:

$4,675

Step-by-step explanation:

The commission is 5.5% of $85,000.

5.5% * $85,000 =

= 0.055 * $85,000

= $4,675

Answer:

$4675

Step-by-step explanation:

85,000 x .055 = 4,675

Hope that helps!

Answer:

y = -4/3 x + 2

Step-by-step explanation:

Let us assume the equation given is 3y + 4x = 6

The standard form in slope-intercept form is y = mx+c

m is the slope

c is the intercept

Make y the subject of the formula

3y + 4x = 6

3y = -4x + 6

Divide through by 3

3y/3 = -4/3 x + 6/3

y = -4/3 x + 2

Hence the equation of the line in slope-intercept form is y = -4/3 x + 2

Answer:

56

42

35

Step-by-step explanation:

y = 7

I have attached the step explanation in the photo

Answer:

answer is y=7

Step-by-step explanation:

3+2y-24=14-3y

first solve 3+2y-24 by collecting like terms together

2y+3-24

2y-21

substitute (2y-21) into 3+2y-24=14-3y

2y-21=14-3y

collect like terms together

2y+3y=14+21

5y=35

5y/5=35/5

y=7

Answer:

n = 1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

-41 = -2/5(45n + 60) + n

Step 2: Solve for n

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Here we see that -41 does indeed equal -41.

∴ n = 1 is the solution to the equation.

Step-by-step explanation:

4 (4b + 3) + 2b = 3 (b - 11)

16b+12+2b=3b-11

16b+2b-3b=-11-12

15b=-23

b=-23/15

Answer:

Step-by-step explanation:

B= -3

Do 4(4b + 3) first than the answer I get from that equation you

16b + 12 2b= 3(b-11)

Combine like terms

3

Distribute

4

Subtract

1

2

12

12

from both sides of the equation

5

Simplify

6

Subtract

3

3

b

3b

from both sides of the equation

7

Simplify

8

Divide both sides of the equation by the same term

Answer:

First, we need to find the slope of this line.

Slope is defined as rise over run, or change in y over change in x. We find two  points on this line, and see that the slope is -4.

Then, we find the y-intercept, which in this case is 0.

Using slope intercept form, our answer is y=-4x

Let me know if this helps!

Answer:

y=-4x

Step-by-step explanation:

so the line goes down 4 evey 1 right so the slope is -4 and it goes through the y axis at 0 so the y intercoept is 0

Answer:

6(2a + 3)

Step-by-step explanation:

the GCF is the biggest number that both numbers can be divided by and still get a whole number answer

Answer: x = 2

Step-by-step explanation: the interior angles of a rhombus add to 360 degrees and since half of 360 is 180, create the equation 130 + (36 +7x) and set it equal to 180. when solved 130 + (36 +7x) = 180 you get x =2

answer

1st rearrange the terms. then subtract 36 in both sides.then you will get 94=7x then simplify  by dividing by 7. then you will get 13.4285714286. which if you round up maybe its 94/7.

Answer:

7(9q+7)

Step-by-step explanation:

Hopefully this is helpful to you!

Answer:

8

Step-by-step explanation:

i did that answer and i got it right

Answer:

thirty two multiplied by one fourth equals eight

Step-by-step explanation:

[tex]\huge\text{Hey\ there!}[/tex]

[tex]\text{If k = 3, then SUBSTITUTE it for the K-VALUE}[/tex]

[tex]\bold{4k + 15}\\\bold{4(3)+15}\\\bold{4(3)=12}\\\bold{15=15}\\\bold{12+15=27}\\\boxed{\boxed{\bold{Answer: 27}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer: k = -8.66

Step-by-step explanation:

We have the equation:

k*x + 5*y = 10

First, let's rewrite this as a line in the slope-intercept form:

5*y = 10 - k*x

y = 10/5 - (k/5)*x

y = -(k/5)*x + 2

Now, we want to make an angle of 30° with respect to the y-axis.

Then we can think on a triangle rectangle, where we know one angle of 30°, the adjacent cathetus will be equal to the difference between the y-component and the y-intercept, and the opposite cathetus will be equal to the x-component.

To get this, we first need to evaluate the function in one given point, let's use x = 5. (we could use any value of x here, i use 5 because it is easier)

y = -(k/5)*5 + 2

y = -k + 2

then the cathetus of our triangle will be:

adjacent cathetus: (y - 2) = (-k + 2 - 2) = -k

opposite cathetus: x = 5.

Now we know the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

where a = 30°

Then:

Tan(30°) = 5/(-k)

-k = 5/tan(0.577) = 8.66

k = -8.66

This is the value of k that we wanted to find.

Answer:

[tex]120x^4\sqrt{2}[/tex]

Step-by-step explanation:

First we need to break down the numbers in the radicals into its factors

so

12= 3*2*2

x³=x*x*x

Which means we have

[tex]10\sqrt{3*2*2*x*x*x}=20x\sqrt{3x}[/tex]

and

[tex]2\sqrt{2*3*x*x*x*x*x} =2x^{2} \sqrt{6x}[/tex]

Because the radicand (the small number that goes up top) are the same we can just mulitply the two from here

which means we have

[tex](20x*2x^2)\sqrt{3x*6x}=40x^3\sqrt{18x^2} \\\sqrt{18x^2}=\sqrt{2*3*3*x*x} =3x\sqrt{2} \\=120x^4\sqrt{2}[/tex]

Answer: ummmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm WHAT IS THIS!!!!!!!!!!!!!! THIS IS NOT MATH I MEAN IT COLD BE AND WHAT GRADE MATH IS THIS!!!!!!!!!!!!!!!!!!!!!!!!

*_*

Step-by-step explanation:

Answer:

86

Step-by-step explanation:

add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86

Answer:

4

Step-by-step explanation:

Answer:

it four or less

Step-by-step explanation:

i did a lot of math for u guys and then i got it right so yall can get good grades

Given:

A rectangular piece of land has an area of [tex]\dfrac{3}{4}[/tex] square mile.

The land is [tex]2\dfrac{1}{2}[/tex] miles long.

To find:

The width of the rectangular land.

Solution:

We have,

Area of a rectangle =  [tex]\dfrac{3}{4}[/tex] square mile.

Length = [tex]2\dfrac{1}{2}[/tex] miles

We know that, area of a rectangle is

[tex]A=l\times b[/tex]

[tex]\dfrac{3}{4}=2\dfrac{1}{2}\times b[/tex]

[tex]\dfrac{3}{4}=\dfrac{2(2)+1}{2}b[/tex]

[tex]\dfrac{3}{4}=\dfrac{5}{2}b[/tex]

Multiply both sides by [tex]\dfrac{2}{5}[/tex], we get

[tex]\dfrac{2}{5}\times \dfrac{3}{4}=\dfrac{2}{5}\times \dfrac{5}{2}b[/tex]

[tex]\dfrac{6}{20}=b[/tex]

[tex]\dfrac{3}{10}=b[/tex]

Therefore, the width of the land is [tex]\dfrac{3}{10}[/tex] miles.

Answer:

the third one

Step-by-step explanation:

Answer:

The 3rd

Step-by-step explanation:

Answer:

distributive property is in the middle going straight up (read it going from the bottom up)

Answer:

the equation is y=1x+0 or just y=1x

Step-by-step explanation:

nkt sure if that's what you wanted or not sorry

Answer:

y = [tex]-1x+0[/tex]

Step-by-step explanation:

y = mx+b

y = [tex]-1x+0[/tex]