17. Hazel invests $1800 for 7 years at a rate of 1.5% per year compound interest. Calculate how much
interest she will receive after the 7 years. Give your answer correct to the nearest dollar.

Step-by-step explanation:

Firtsly we know that the slopes must be perpendicular, which means the equations slope would be

[tex] - \frac{1}{2} [/tex]

Now with the slope we can find the y-intercept, which is

[tex]1[/tex]

Therefore the equation is

[tex]y = - \frac{1}{2} x + 1[/tex]

Answer:

it's the point (3, 2)

Step-by-step explanation:

Plug in 3 into x and plug in 2 into y. You will get 2≤2(3)-4. This ends up equalling 2≤2. THis is the answer cuz 2 is equal to or less than 2. :)

Answer:

✔(3, 2)

Step-by-step explanation:

E-2021

Answer:

1,4

2,3

1,6

6,7

5,8

5,2

1,6

7,2

8,1

3,6

4,5

1,5

2,6

3,7

4,8

Step-by-step explanation:

Alternate interior, exterior, vertical, and complemetary angles are congruent.

The pairs of congruent angles ​are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

From the given figure,

Vertically opposite angles:

∠1≅∠4

∠2≅∠3

∠5≅∠8

∠6≅∠7

Alternate interior angles:

∠3≅∠6

∠4≅∠5

Alternate exterior angles:

∠1≅∠8

∠2≅∠7

Corresponding angles:

∠1≅∠5

∠2≅∠6

∠4≅∠8

∠3≅∠7

Therefore, the pairs of congruent angles ​are ∠1≅∠4, ∠2≅∠3, ∠5≅∠8 and ∠6≅∠7.

Learn more about the parallel line angles here:

https://brainly.com/question/17237586.

#SPJ1

Answer:

$1.90

Step-by-step explanation:

Answer:

-3/7 + 1/7 equals - 2/7

Step-by-step explanation:

Think of it this way: 3/7- 1/7, then add the negative

Hopefully this helps you!

Answer:

-2 / 7 . Crown?

Step-by-step explanation:

1 / 7  + ( -3 ) / 7 = -2 / 7

Because the positive number is bigger than the negative number on a number line.

Negative numbers are on the left of a number line

Positive numbers are on the right of a number line

If you draw a number line you would go backwards 1 then -3, would become -2 because -2 is greater than -3

Hope this helps.

CAN I also get the crown from your other question and on here too?

Answer:

Step-by-step explanation:

ANSWER:

average = total distance / time

average = 200/25 = 8 m /s

Answer:

x = 20

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

3x + 1 + x + 14 + 4x + 5 = 180, that is

8x + 20 = 180 ( subtract 20 from both sides )

8x = 160 ( divide both sides by 8 )

x = 20

Answer:

The regular price of the balls is $8

Step-by-step explanation:

The sporting goods store sales promotion is as follows;

The price of the third ball after buying two balls at regular price = $1.00

The price of the number of balls Coach John pays for the balls he bought = $136

To buy 24 balls, we have;

2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1 + 2 + 1

Therefore;

The number of balls bought at regular price = The sum of the 2s = 16 balls

The number of balls bought for $1 = 24 - 16 = 8 balls

Let x represent the regular price of the balls, we have;

16 × x + 8 = 136

16·x = 138 - 8 = 128

x = 128/16 = 8

The regular price of the balls = x = $8.

Answer:

[tex]8x^{9}[/tex]

Step-by-step explanation:

to solve [tex](2x^{3} )^{3}[/tex], you multiply the exponents and do [tex]2^{3}[/tex].

Answer:

the ans is -x^2-3x+40........

Answer:

(5 - x )(8 + x)

Step-by-step explanation:

A(x) = x² - 10x + 25 - (x - 5)(2x + 3)

x² - 10x + 25 = (x - 5)²

A(x) = (x - 5)² - (x - 5)(2x + 3) =

(x - 5)(x - 5 - 2x - 3) =

(x - 5)(- x - 8) =

(5 - x )(8 + x)

Answer:

F(1) represents the first term of the sequence.

Step-by-step explanation:

Let us suppose the sequence function

[tex]F(n) = 16-3n[/tex]

We can find the first term of the sequence by substituting n=1 in the function sequence

[tex]F(1) = 16-3(1)[/tex]

        [tex]= 16-3[/tex]

        [tex]=13[/tex]

We can find the 2nd term of the sequence by substituting n=2 in the function sequence

[tex]F(2) = 16-3(2)[/tex]

        [tex]= 16-6[/tex]

        [tex]=10[/tex]

We can find the 3rd term of the sequence by substituting n=3 in the function sequence

[tex]F(3) = 16-3(3)[/tex]

        [tex]= 16-9[/tex]

        [tex]=7[/tex]

So the first three terms of the sequence is:

13, 10, 7...

As the common difference is the same.

i.e. d = 10-13 = -3, d = 7-10 = -3

Hence, it is an Arithmetic sequence.

As the first term is 13, which can be obtained by putting n=1 in the function sequence.

Therefore, from the above discussion, we can conclude that F(1) represents the first term of the sequence.

Answer:

b.

a.

c.

d.

Step-by-step explanation:

a .20x10=2.00

b .20

c 8.66

d 86.6

Answer:

B

A

C

D

Step-by-step explanation:

This are from the lowest to greatest.

Answer:

i believe their proportional

Step-by-step explanation:

cause they have a linear function

Answer:

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes Gordo unhealthy.

Step-by-step explanation:

μ = mean weight = 9.5 pounds

σ = standard deviation = 1.5 pounds

This is a normal distribution problem

We first calculate the limit of the bottom 5% of weights

Let the z-score for this limit be z'

P(z < z') = 0.05

From the normal distribution table,

z' = -1.645

And the limit for the top 5% which is z" = 1.645.

The weight that corresponds to these scores are then calculated.

Standardized scores are given as

z = (x - μ)/σ

So,

z' = (limit for the bottom 5% - μ)/σ

-1.645 = (limit for the bottom 5% - 9.5)/1.5

limit of the bottom 5% = (-1.645)(1.5) + 9.5 = 7.033 pounds

z" = ( (limit for the top 5% - μ)/σ

1.645 = (limit for the top 5% - 9.5)/1.5

limit of the bottom 5% = (1.645)(1.5) + 9.5 = 11.968 pounds

Therefore the healthy weight range for cats is (7.033 < x < 9.968)

Gordo's weight = 15 pounds

It is outside the healthy weight range and is in the top 5% of weights of cats.

Gordo's weight makes the cat unhealthy.

Flaco's weight = 8 pounds

Flaco's weight lies in the healthy weight range for cats. Hence, Flaco is a healthy cat.

Answer:

1.64 inches or about 1.6 inch

Step-by-step explanation:

The big skittle is 5.5 by 3 and the smaller one is 3 by ? which can be written out like [tex]\frac{5.5}{3}[/tex]=[tex]\frac{3}{?}[/tex]  since the skittles proportional then ? = [tex]\frac{3times3}{5.5}[/tex]= 1.636363636...

so it's about 1.64

Given :

The population of fish in a pond from 2001 to 2014 is modeled by the function below where t is the years since 2001.

[tex]p(t) = \dfrac{1125}{1+12e^{-0.17t}}[/tex]    ...1)

To Find :

Find the number of fish is the pond in 2014.

Solution :

Number of years, t = 2014 - 2001 = 13.

Putting value of t in equation 1), we get :

[tex]p(t) = \dfrac{1125}{1+12e^{-0.17\times 13}}\\\\p(t) = 485.67[/tex]

p(t) ≈ 486

Therefore, number of fish in the pond in 2014 is 486.

Hence, this is the required solution.

Answer:

$235.2

Step-by-step explanation:

$210 * (100%+12%)

= $210 * 112%

= $210 * 1.12

= $235.2

Hope this helped!

Answer:

The final answer is $470.40.

Step-by-step explanation:

210 x 2 = $420

To find the final price including tax, we must find 12% of $420.

420 x 0.12 = $50.4

Now, we must finalize the price by adding the tax to the price without tax.

$420 + $50.4 = $470.40

Therefore, the final cost for the hotel room is $470.40.

Hope this helps you out! :)

Answer:

D

Step-by-step explanation:

I used a triangle calculator I'm not really sure how to calculate it by hand. if the angle of sides 4 and 15 is set to 1 then the min is 11.33 and if the andle of sides 4 and 15 are set to 179 then the max is 18.99952

Sorry if this isnt enough, but i am sure.

Answer:

D.  11 < x < 19.

Step-by-step explanation:

The third side x is between 11 and 19 cm.

Consider sides AB (length 4) and BC (length 15) of the triangle.

Consider the angle between AB and BC is slightly less than 180 degrees.  To get from point A to point C, we have to travel almost the entire length of A to C, which is from A to B and then B to C, so a bit less than 19 cm.

Consider the angle between AB and BC is slightly more than 0 degrees.  To get from point A to point C, we subtract the length of AB (because we're already further along BC), so 15 - 4, a bit greater than 11.

Answer:

x=4

y=5

Step-by-step explanation:

inform me if u cant open the image

Answer:

(4,5)

Step-by-step explanation:

I solved through substitution

3x+2y=22

x-2y=-6 ----> -2y=-6-x ----> -2y=-x-6 -----> y=1/2x+3

Solving for x:

3x+2y=22

3x+2(1/2x+3)=22

3x+x+6=22

4x+6=22

4x=16

x=4

Solving for y:

x-2y=-6

4-2y=-6

-2y=-10

y=5

(4,5)

Answer:

Step-by-step explanation:

2000264(X) b x a =177777082

Answer:

y = - [tex]\frac{28}{5}[/tex]

Step-by-step explanation:

Given y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation

To find k use the condition y = 7 when x = - 4, then

7 = [tex]\frac{k}{-4}[/tex] ( multiply both sides by - 4 )

- 28 = k

y = [tex]\frac{-28}{x}[/tex] ← equation of variation

When x = 5 , then

y = [tex]\frac{-28}{5}[/tex] = - [tex]\frac{28}{5}[/tex]

Answer:

El tercer ángulo es 80

Step-by-step explanation:

En un triángulo hay 3 ángulos. Cuando sumas todos los ángulos, es igual a 180. Entonces, para esto, todo lo que tienes que hacer es sumar 30 y 70, lo que te da 100. Luego, restar 100 de 180, lo que te da 80. Lo que significa que el tercer ángulo es 80 :)

Given:

Equation of line is [tex]y=3x-7[/tex].

To find:

The equation of line which is parallel line to [tex]y=3x-7[/tex] and passes through (3,5) in function notation.

Solution:

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

On comparing the equation [tex]y=3x-7[/tex] with slope intercept form, we get

[tex]m=3[/tex]

So, slope of given line is 3.

Slope of parallel lines are same. Thus, the slope of parallel line is also 3.

Point slope form of a line is

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

where, m is slope.

The parallel line passes through (3,5) with slope 3. So, the equation of line is

[tex]y-5=3(x-3)[/tex]

[tex]y-5=3x-9[/tex]

Add 5 on both sides.

[tex]y=3x-9+5[/tex]

[tex]y=3x-4[/tex]

Function notation of this equation is

[tex]f(x)=3x-4[/tex]

Therefore, the equation equation in function notation is [tex]f(x)=3x-4[/tex].

Answer:

Try writing to your teacher, why students should have game time on Fridays.

Step-by-step explanation:

Children at school are getting worried about recent events, but letting kids play Video games will keep their minds more focus on the game, instead of their worries. Plus this can give teachers extra time to plan lessons or just take a relaxing break, teachers deserve it anyways.

Answer:

C. 0.81; The least-squares regression line, given by ŷ = −126.08 + 122.67x, is a good fit to the data.

Answer:

B

Step-by-step explanation:

Answer:

B. Is the correct way to show the problem.

Step-by-step explanation:

A: The number line is useless. It shows working backwards from the answer. You want to show how the answer was obtained. + goes right - goes left. Not A. This actually shows 1.1 - 0.8 - 0.3

C: C shows 0.8 - 0.3. Remember + goes right - goes left.

D: D is wrong. It shows 0.3 to 1.1 and then 0.3 back to 0.8. You are not doing that.

Answer:

singe

writer

poiter

and many many things

Answer:

A. Bracelets take 3 minutes, and necklaces take 8 minutes.

Step-by-step explanation:

If Mary made 3 necklaces at that rate, it would add up to 24 minutes. A bracelet takes 3 minutes to make, and she made 2, so that would take 6 minutes. Add 24 to 6 and you'll get 30 minutes. I hope this helped :^)

Answer:

23 56

Step-by-step explanation:

yt

Answer:

37 beads

Step-by-step explanation:

Given that:

Adel : Claire = 7 : 4

Let Adel be = A;  &

Let Claire be = C

A: C = 7 : 4

[tex]\dfrac{A}{C} =\dfrac{7}{4}[/tex]

7C = 4A

[tex]C = \dfrac{4A}{7}[/tex] --- (1)

When Adel gave 68 beads to claire, we have:

C + 68 = 25:41

[tex]\dfrac{A}{C+68}= \dfrac{25}{41}[/tex]

25(C + 68) = 41A

C + 68 = [tex]\dfrac{41}{25}A[/tex]

[tex]C = \dfrac{41}{25}A - 68[/tex] --- (2)

Equating (1) and (2) together;

[tex]\dfrac{4 * A}{7} = \dfrac{41 *A}{25} - 68[/tex]

[tex]\dfrac{4 * A}{7}-\dfrac{41 *A}{25} = - 68[/tex]

[tex]\dfrac{100A - 287 A}{175} =- 68[/tex]

[tex]\dfrac{-187A}{175} = -68[/tex]

- 187 A = 175 × (-68)

-187 A = - 11900

A = - 11900/ -187

A ≅ 64

From; [tex]C = \dfrac{4A}{7}[/tex]

[tex]C = \dfrac{4*64}{7}[/tex]

C = 36.57

C ≅ 37 beads

Answer:

It's so dark! There are some words I can't see.