Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount by 1.03. How much will she have in 30 years

Answer:

-1

Step-by-step explanation:

Answer:

  [tex]\dfrac{887}{990}[/tex]

Step-by-step explanation:

Multiply by 100, subtract the original and divide the result by 99.

  [tex]x=0.8\overline{95}\\100x=89.5\overline{95}\\100x-x=89.5\overline{95}-0.8\overline{95}=88.7\\99x=88.7\\\\x=\dfrac{88.7}{99}=\boxed{\dfrac{887}{990}}[/tex]

Answer: 50 Minutes = 309 gal

Step-by-step explanation: Every 10 minutes the amount of water goes up by 18, so after 50 minutes the water would be equivalent to 309 gallons.

Answer:

[tex]y=1.8x+219[/tex]

309 gallons

Step-by-step explanation:

So to find the linear equation, we can use the data from the table.

First, use the data from the table to find the slope. Pick any two points. I'm going to use (10,237) and (20,255).

Let (10,237) be x₁ and y₁ and let (20,255) be x₂ and y₂.

The formula for slope is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute:

[tex]m=\frac{255-237}{20-10}[/tex]

Simplify:

[tex]m=18/10=1.8[/tex]

Thus, the slope is 1.8. This means that 1.8 gallons of water flow into the tank every minute.

Now, let's find the slope-intercept. To do this, we can use the point-slope form. The point-slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Let's use (10,237) for consistency. Plug in 237 for y₁  and 10 for x₁. Also use 1.8 for m. Thus:

[tex]y-237=1.8(x-10)[/tex]

Distribute:

[tex]y-237=1.8x-18[/tex]

Add 237 to both sides:

[tex]y=1.8x+219[/tex]

What this means is that there is initially 219 gallons of water in the tank already. Every minute, 1.8 gallons is added further.

And that's our linear equation :)

So, to find the amount of gallons after 50 minutes, plug in 50 for x and solve:

[tex]y=1.8(50)+219\\y=90+219=309[/tex]

After 50 minutes, there will be 309 gallons of water.

Answer:

0.000000861

Step-by-step explanation:

Answer:

0.0000000861

Step-by-step explanation:

I took the test. Hope this helps!

Answer:

9/10

Step-by-step explanation:

3^4/5^4 × 15^4/10^4=x^4/y^4

81/625 × 50625/10000= x^4/y^4

multiply

4100625/6250000=x^4/y^4

break it down by dividing it by 5

820125/1250000

divide by 5

164025/250000

divide by 5

32805/50000

divide by 5

6561/10000 = x^4/y^4

4√6561/4√10000=x/y

9/10= x/y

Answer:

a/3 + 27

Step-by-step explanation:

One third is: 1/3

then:

, the expressipn is:

a/3 + 27

The required expression, that is the sum of one-third of a number, and 27 is x / 3 + 7.

Given that,
To determine the arithmetic, the sum of one-third of a number and 27.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Here,
Let the number be x,
one-third of the number is = x/3,
Now according to the question,
Applying arithmetic operations,
Sum = x / 3 + 27

Thus, the required expression, that is the sum of one-third of a number and 27 is x / 3 + 7.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

12 times 6012 u can type in calculator is 72144

Answer:

72144 is the answer.

Hope this helps

Answer:

The other endpoint is ( -1,15)

Step-by-step explanation:

21.

 The x coordinate of the midpoint is the  sum of the x coordinate of the endpoints  divided by 2

(-5 +x)/2 = -3

Multiply each side by 2

-5+x = -6

Add 5 to each side

-5+x+5 = -6+5

x = -1

The y coordinate of the midpoint is the  sum of the y coordinate of the endpoints  divided by 2

(-1 +y)/2 = -8

Multiply each side by 2

-1+y = -16

Add 1 to each side

-1+y+1 = -16+1

y = -15

The other endpoint is ( -1,15)

The correct answer is Type

Explanation:

Categorical variables differ from other types of variables because these involve categories or defined groups. For example, sex is a categorical variable because in a population individuals are either classified as females or males (categories). This concept applies to types of pets because this variable involves categories or defined groups such as dogs, cats, hamsters, turtles, etc. Also, other variables such as age, weight, or height are not naturally categorical because these can be understood using numbers rather than categories.

Answer: The answer is definitely TYPE

Step-by-step explanation: For example the brand of a car is a category. You could have a Toyota. Toyota is a category of a car. Therefore, this can be applied in this problem; the Type of a pet is a category. The pet could be a dog or a cat e.t.c.

Answer: 1,188 km

Step-by-step explanation:

99 x 12 = 1,188

Answer:

0

Step-by-step explanation:

8+56/-7x-4

8+(-8)x-4

0x-4

0

Hope this helps ;) ❤❤❤

Answer:

Step-by-step explanation:

1. Let us assume that we are solving for the frame of the deck alone

2. And also from the given parameters the deck has a rectangular shape

we know that the total amount of woods to be used is same as the perimeter of the rectangle.

Given that

length l= 60 ft

width w= 8 ft

The formula for the perimeter of a rectangle is given as

Perimeter= 2l+2w

perimeter= 2*60+ 2*8

perimeter= 120+16

perimeter= 136 ft

Hence in other to construct the frame of the deck Adam needs a total of 136 ft of woods

Answer: 6

Step-by-step explanation: when you divide two negative numbers, the answer will always be positive .

Answer:

A

Step-by-step explanation:

a would be the correct answer to create a rectangle

Answer:

slope = 0

Step-by-step explanation:

x = 8 is a vertical line parallel to the y- axis

A line perpendicular to it is a horizontal line parallel to the x- axis.

The x- axis has a slope of zero thus the line perpendicular to x = 8 is zero

The slope of a line is simply the ratio of a change in the vertical axis to the horizontal axis. The line perpendicular to [tex]x = 8[/tex] has a slope of 0

Given that

[tex]x = 8[/tex]

See attachment for the line of [tex]x = 8[/tex]

First, we determine the slope of [tex]x = 8[/tex]

The slope of a line (m) is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]x = 8[/tex] means that, the value of x is always 8; irrespective of the y-value.

So:

[tex]x_2 = x_1 = 8[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes

[tex]m = \frac{y_2 - y_1}{8-8}[/tex]

[tex]m = \frac{y_2 - y_1}{0}[/tex]

Assume the slope of the line perpendicular to [tex]x = 8[/tex] is [tex]m_2[/tex].

[tex]m_2[/tex] is calculated as follows:

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute [tex]m = \frac{y_2 - y_1}{0}[/tex]

[tex]m_2 = -\frac{1}{(y_2 - y_1)/0}[/tex]

This gives

[tex]m_2 = -\frac{1\times 0}{y_2 - y_1}[/tex]

[tex]m_2 = -\frac{0}{y_2 - y_1}[/tex]

[tex]m_2 = -0[/tex]

[tex]m_2 = 0[/tex]

The slope of the line perpendicular to [tex]x = 8[/tex] is 0.

Read more about slopes at

https://brainly.com/question/3605446

Answer:

The correct option is (C).

Step-by-step explanation:

We need to find the correct option that does not represent y as a function of x.

In options A, B, D and E, both x and y are involved. It means we can represent y as a fucntion of x.

But in option (c), it has only y as a variable i.e.

-4y=-8

y=(8/4)

y = 2

So, this option does not represent y as a function of x.

The question is incomplete:

17. Tonya's mother is 1.5 times as tall as  Tonya was when she was 6. How tall  is Tonya's mother? Use the correct  number of significant digits.

The image with the information about Tonya's height is attached.

Answer:

68 in.

Step-by-step explanation:

According to the information given, you can write the following expression:

x=1.5y

x=Tonya's mother height

y= Tony's height when she was 6

Also, you know from the table that Tonya's height when she was 6 was 45 in. and you can replace this value in the formula:

x=1.5*45

x=67.5

Because of this, the answer is that Tonya's mother height is 68 in.

Answer:

$5184

Step-by-step explanation:

1 per square foot =$432/1

12 square =12×$432/1

$5184

Answer:13

Step-by-step explanation: range is the biggest value - the smallest value, in this case, the biggest value= 5 and the smallest value= -8 so, 5--8= 5+8 ( when it is a minus minus it is automatically changed to a plus)= 13.

Answer:

- 21

Step-by-step explanation:

The minimum value occurs at the vertex of the function

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

Given

f(x) = x² - 6x - 12

add/ subtract ( half the coefficient of the x- term)² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 - 12

     = (x - 3)² - 21

with vertex = (3, - 21 )

The minimum is the value of k, that is minimum value = - 21

Answer:

314 cm^2

Step-by-step explanation:

pi(r^2)

r= d/2

pi= 3.14

3.14(10^2)

3.14(100)

314

Answer:

  100π cm^2

Step-by-step explanation:

The area of a circle is given by the formula ...

  A = πr^2

where r represents the radius, which is half the diameter. For a circle of radius 10 cm, the area is ...

  A = π(10 cm)^2 = 100π cm^2

Answer:

5 r 2

Step-by-step explanation:

Answer:

    x -5

Step-by-step explanation:

f(x)= 2x+5, g(x)=x+10,

f-g (x) = 2x+5 - (x+10)

Distribute the minus sign

         = 2x+5 - x-10

          =2x-x +5-10

Combine like terms

        x -5

Answer:

when b=2 , a = -4.2

when b=1.5 , b=-2.5

Step-by-step explanation:

When b = 1.5

[tex]2.2a + 3.4b = 1.2a + 2.6 \\ a = \\ b = 1.5 \\ 2.2a + 3.4(1.5) = 1.2a + 2.6 \\ 2.2a + 5.1 = 1.2a + 2.6[/tex]

[tex]2.2a - 1.2a = 2.6 - 5.1 \\ a = - 2.5[/tex]

When b = 2

[tex]2.2a + 3.4(2) = 1.2a + 2.6 \\ 2.2a + 6.8 = 1.2a + 2.6[/tex]

Collect like terms and simplify

[tex]2.2a - 1.2a = 2.6 - 6.8 \\ a = - 4.2[/tex]

Answer:

b = 8tan30°

Step-by-step explanation:

Find the diagram of the triangle in the attachment. Using SOH CAH TOA to find the side AC which is b. Side AC will be the opposite of the triangle since it is facing the acute angle 30° and side BC will be adjacent.

Using TOA;

Tan<CBA = CA/BC

Given <CBA = 30°, BC = 8feet

CA = BCtan<CBA

CA = 8tan30° = b

Hence the equation that can be used to solve for b is 8tan30°

Answer:

B

Step-by-step explanation:

Answer:

The numerical answer is 5

Please see the tape diagram evolution in the attached image

Step-by-step explanation:

Start by drawing three unit tapes, and divide each one of them in 5 equal parts since we need to be dividing the quantity 3 by 3/5 (denominator 5)

In the second step, join the three tapes in one long one maintaining the original divisions.

In the third step, select groups of 3 divisions (recall you need to divide by 3/5) which will identify in your tape how many of these 3/5 groups you have.

Finally count the number of 3/5 groups you found in the collection of the three original tapes placed together. You should count a total of 5 of these 3/5 groups.

5 then tells you what is the quotient of 3 divided in 3/5