Four years ago, you invested $1000 in an account that returns 5.1% annually. The table shows the value of your investment
at the end of each year.
Time (in years)
1
2
Value (in dollars)
$1051.00
$1104.60
$1160.94
$1220.14
3
4
Does the data represent a linear function? Why or why not?
a. Yes, it appears on a straight line.
C. Yes, the average rate of change is constant.
b. No, it does not appear on a straight line.
d. There is not enough information to determine
whether this is a linear function,
Please coloct the boot

The rectangles are similar to DEFG and VWXY

We have given the rectangle ABCD, QRSP, EFGD, and WXYV.

We have the rectangle DEFG and WXVY.

A rectangle is a quadrilateral with four right angles. It can also be defined as an equiangular quadrilateral, since equiangular means that all of its angles are equal; or a parallelogram containing a right angle. A rectangle with four sides of equal length is a square.

If we divide WV by 2 and VY by 2 then we get the side ED and DG

Therefore the given two rectangles are similar.

The rectangles are similar to DEFG and VWXY.

To learn more about the rectangle visit:

https://brainly.com/question/25292087

#SPJ2

Answer:

C

Step-by-step explanation:

I Just Took the Test.

Answer:

768.57 / 41.1 = 18.7 m per hr

Step-by-step explanation:

Answer:

Discriminant is 6.

Step-by-step explanation:

9-2x+3=0

-2x+9+3=0

-2x+12=0

-2x+12-12=0-12

-2x=-12

-2x/-2 = -12/-2

x=6

[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{4}}}\implies \cfrac{3}{-4}\implies -\cfrac{3}{4}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{5}=\stackrel{m}{-\cfrac{3}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-5=-\cfrac{3}{4}x+3\implies y=-\cfrac{3}{4}x+8[/tex]

Answer:

2.5%

Step-by-step explanation:

interest = principal * rate * time

1200 = 8000r6

1200 = 48000r

r = 0.025

Rate for account is 2.5%

Answer:

125 ft^3

Step-by-step explanation:

V = length x width x height so for a cube V= side^3

V= 5 x 5 x 5 or 5^3 = 125

Hope this helps!

Answer:

Its 21 on edenuity

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Answer:

6 squared feet

Step-by-step explanation:

The formula is  b X h

so we can see that the base is 8 and the height is 3/4

so now the equation would be

8 x 3/4 which is equal to 6

so the area of this parallelogram is 6

Answer:

The digit in the ten thousand place is 4 in 542,970

Step-by-step explanation:

Answer:

(a). 0.0678.

(b). 0.01356

(c). 11.1

(d). 33.3

Step-by-step explanation:

So, we are given the following data or parameters that is going to help us or assist us in solving this particular problem or Question.

(1). We are given from the question that the archer to hit a bull’s-eye, the probability will be 0.09.

(2). "the results of different attempts can be taken to be independent of each other".

Therefore, let us delve right into the solution to the question.

(a). The probability that the first bull’s-eye is scored with the fourth arrow = P(a= 4) = P × ( 1 - P)^a -1.

P(a = 4) = 0.09 × (1 - 0.09) ^4 - 1.

P(a= 4) = 0.0678.

(b). The probability that the third bull’s-eye is scored with the tenth arrow = P(b= 10, y = 3).

P(b= 10, y = 3) = 36 (0.91)^7 × ( 0.09)^3 = 0.01356.

(c). The expected number of arrows shot before the first bull’s-eye is scored = 1/0.09 = 11.1.

(d). The expected number of arrows shot before the third bull’s-eye is scored = 3/0.09 = 33.3.

Answer:

The graph can be seen in the attached image

Step-by-step explanation:

Step 1: Write the given function

[tex]y = 6x - 8[/tex]

Step 2: Plot the graph of the function

Done using a graphing calculator

Answer:

x = 15

Step-by-step explanation:

We can see that the angle with a measure of 37° and the angle with (9x + 8)° form a straight line, so they add up to 180°. This means that 37 + 9x + 8 = 180.

Step 1: Combine like terms.

Step 2: Subtract 45 from both sides.

Step 3: Divide both sides by 9.

Therefore, x = 15!

Answer:

4 Quarters and 11 Dimes

Step-by-step explanation:

In the first equation, we know that [tex]D=15-Q[/tex] If we plug this into the second equation, we get 25q+10(15-Q)=210. If we simplify this equation, we get 25q+150-10q=210, which can be simplified to 15q+150=210. And since 15q=60, q=4. Then, you subtract 4 from 15, to get 11 dimes. So, there are 4 quarters and 11 dimes. Hopefully, this helps!

Answer:

0.86 pound

Step-by-step explanation:

i just asked google:))

Answer:

y=mx+b

m=(11-(-5))/(9-1)

m=16/2

m=8

y=8x+b

-5=8(1)+b

b=-13

y=8x-13

Step-by-step explanation:

step in image

a = 1

b = 7

thank you

Answer:

a) [tex]1\frac{1}{4}[/tex]

b) [tex]46.69[/tex]

Step-by-step explanation:

a) To evaluate the value of this long expression, we can split it up into parts that are easy to calculate. [tex]2\frac{1}{3}+\frac{1}{2}-\frac{1}{12}[/tex] is equal to [tex]2+\frac{4}{12}+\frac{6}{12}-\frac{1}{12}[/tex] and since the fractions have the same denominators, you can add the numerators and keep the denominators. This would result in [tex]2\frac{9}{12}[/tex], which is [tex]2\frac{3}{4}[/tex] simplified. So, now we know that the first parentheses are equal to [tex]2\frac{3}{4}[/tex]. Next, we have to calculate [tex]2(\frac{1}{3}+\frac{1}{4})[/tex]. Using the distributive property to expand, we reach [tex]\frac{2}{3}+\frac{2}{4}[/tex] and we bring them both with a denominator of 12 and add to get [tex]\frac{7}{6}[/tex]. Finally, the last square root is equal to [tex]\frac{1}{3}[/tex] because [tex](\frac{1}{3})^2[/tex] is equal to [tex]\frac{1}{9}[/tex]. To find our final answer we put all of our answers together in the expression [tex]2\frac{3}{4}-\frac{7}{6}-\frac{1}{3}[/tex]. Bring all of these fractions to a denominator of 12 to get: [tex]2\frac{9}{12}-\frac{14}{12}-\frac{4}{12}[/tex]. We combine to get [tex]1\frac{1}{4}[/tex].

b) Similar to the previous part, we can split this expression into two parts to make it more manageable; [tex]-4.9(-12+\sqrt{0.81})[/tex] and [tex](2.2)^2*1.59[/tex]. Once we find the value of each, we will get our final answer by subtracting the second from the first (as shown in the expression). [tex]-4.9(-12+\sqrt{0.81})[/tex] is equal to [tex]-4.9(-12+0.9)[/tex] which is [tex]-4.9*-11.1[/tex] which is [tex]54.39[/tex]. [tex](-2.2)^2*1.59[/tex] is equal to [tex]4.84*1.59[/tex] which is [tex]7.6956[/tex]. To get the final answer, we do [tex]54.39-7.6956[/tex] which is [tex]46.6944[/tex]. Rounded to the nearest hundredth, it is [tex]46.69[/tex].

Hope this helps :)

Answer:

25

Step-by-step explanation:

Explanation:

Let the side of a square be represented as "x".

The perimeter of a square is the sum of it's sides. Since the sides are equal, we can add x four times to get the perimeter.

[tex]\rightarrowtail \text{Perimeter of square} = 4 \times x[/tex]

[tex]\rightarrowtail \text{Perimeter of square} = x + x + x + x[/tex]

[tex]\rightarrowtail \boxed{\text{Perimeter of square} = 4x}[/tex]

To find the perimeter of the square, simply substitute the side length of the square into 4(Side length) to find the perimeter.

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Total = 40

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Step-by-step explanation:

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Based on the information given the total number of shapes on Jeffrey paper is  40 shapes.

⇒ Using this formula;

Total number of shapes=Number of shapes/Percentage of total sales

Which:

Number of shapes= 8

Percentage of total sales=20% or .20

Let's plug in the formula;

Total number of shapes=8/.20

Total number of shapes=40 shapes

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

~[RevyBreeze]~

Answer:

Farmer John made 4 cobblers.

Step-by-step explanation:

In order to figure out how many cobblers he made, you have to find x. The equation would be x=24÷6. 24 divided by 6 is 4, so x=4.

Answer:

[tex]\displaystyle y = -\frac{1}{4}x - 10[/tex]

Step-by-step explanation:

Perpendicular equations have OPPOCITE MULTIPLICATIVE INVERCE RATE OF CHANGES [SLOPES], so 4 becomes −¼. Now, proceed with plugging the information into the Slope-Intercept Formula:

[tex]\displaystyle -11 = -\frac{1}{4}[4] + b \hookrightarrow -11 = -1 + b; -10 = b \\ \\ \boxed{y = -\frac{1}{4}x - 10}[/tex]

I am joyous to assist you at any time.

Answer:

y= - 1/4 of 10

Step-by-step explanation:

Answer:

yasssssss

Step-by-step explanation:

Answer:

[tex]y=-\frac{1}{5} -7.[/tex]

Step-by-step explanation:

1) the rule: if two lines are y=k₁x+b₁ and y=k₂x+b₂ are perpendicular, then k₁*k₂=-1;

2) according to the rule above, the correct answer is y= -1/5 x-7.

Answer :

Given :

To Find :

Solution :

We know,

[tex] \bf \longrightarrow \qquad \: \pi {r}^{2} h = \: Volume_{(cylinder)}[/tex]

Where,

Substituting the values in the formula :

[tex] \sf \longrightarrow \qquad \: 3.14 \times {r}^{2} \times 14 = \: 2813.44[/tex]

[tex]\sf \longrightarrow \qquad \: 43.96 \times {r}^{2} = \: 2813.44[/tex]

[tex]\sf \longrightarrow \qquad \: {r}^{2} = \: \dfrac{ 2813.44}{43.96}[/tex]

[tex]\sf \longrightarrow \qquad \ {r}^{2} = \: 64[/tex]

[tex]\sf \longrightarrow \qquad \: {r} = \: \sqrt{64} [/tex]

[tex]\pmb{ \bf{ \longrightarrow \qquad \: {r} = \: 8}}[/tex]

Therefore,

1 pizza = 9 dollars

1 topping = 1 dollar

1. Let's gather the information

2 Pizzas

One pizza is a pepperoni

The other is a mushroom and green pepper

2. Make an equation for the question

x9 + y1 = ?

x = number of pizzas

y = number of toppings

3. Multiply x and y by the number given

2 x 9 + 3 x 1 = ?

2 x 9 + 3 x 1 = 21

Which means, the two pizzas had costed 21 dollars.