Find an equation of the line that is perpendicular to y = 1/7x + 5 and has a y-intercept of — 2. Write your answer in the form y = mx+b​

1. Occasionally a savings account may actually pay interest compounded continuously. For each​ deposit, find the interest earned if interest is compounded​ (a) semiannually,​ (b) quarterly,​ (c) monthly,​ (d) daily, and​ (e) continuously. Use 1 year = 365 days.

Principal ​$1031

Rate 1.4%

Time 3 years

Answer:

a) $ 44.07

b) $ 44.15

c) $ 44.20

d) $ 44.22

e) $ 44.22

Step-by-step explanation:

The formula to find the total amount earned using compound interest is given as:

A = P(1 + r/n)^nt

Where A = Total amount earned after time t

P = Principal = $1031

r = Interest rate = 1.4%

n = compounding frequency

t = Time in years = 3 years

For each​ deposit, find the interest earned if interest is compounded

(a) semiannually

This means the interest is compounded 2 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/2) ^2 × 3

A = 1031 (1 + 0.007)^6

A = $ 1,075.07

A = P + I where

I = A - P

I = $1075.07 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.07

​(b) quarterly

This means the interest is compounded 4 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/4) ^4 × 3

A = 1031 (1 + 0.014/4)^12

A = $ 1,075.15

I = A - P

I = $1075.15 - $1031

A = P + I where

P (principal) = $ 1,031.00

I (interest) = $ 44.15

(c) monthly,

​ This means the interest is compounded 12 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/12) ^12 × 3

A = 1031 (1 + 0.014/12)^36

A = $ 1,075.20

A = P + I where

I = A - P

I = $1075.20 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.20

(d) daily,Use 1 year = 365 days

This means the interest is compounded 365 times in a year

Hence:

A = P(1 + r/n)^nt

A = 1031(1 + 0.014/365) ^2 × 3

A = 1031 (1 + 0.00365)^365 × 3

A = $ 1,075.22

A = P + I where

I = A - P

I = $1075.22 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.22

(e) continuously. .

This means the interest is compounded 2 times in a year

Hence:

A = Pe^rt

A = 1031 × e ^0.014 × 3

A = $ 1,075.22

A = P + I where

I = A - P

I = $1075.22 - $1031

P (principal) = $ 1,031.00

I (interest) = $ 44.22

Answer/Step-by-step explanation:

(5 x 10) + ( 5 x -15) or 5 x (10 + -15)

5 x 10 = 50

5 x -15 = -75

50 + -75 = -25

Answer:

-25

Step-by-step explanation:

Answer:

a = 6

Step-by-step explanation:

Answer:

360 divided by 12 is 30 because 12 times 30 is 360

Step-by-step explanation:

Answer:

the answer most likely might be =30

Step-by-step explanation:

360÷12=30

Answer:

Step-by-step explanation:

Required function would be:

Answer:

28/35

Step-by-step explanation:

Soh-Cah-Toa

Sin = Opposite/Hypotenuse

Cos = Adjacent/Hypotenuse

Tan = Opposite/Adjacent

Complete question :

A restaurant customer left ​$0.90 as a tip. The tax was 8% and the tip was ​10% of the after tax cost. Which information is not needed to compute the bill after tax and​ tip? What was the total​ bill?

Answer:

The tax percentage

9.9

Step-by-step explanation:

Guven that :

Amount of tip left = 0.90

Tip left = 10% of after tax cost

Tax % = 8%

If tip left = 10% of after tax cost; then ;

If after tax cost = x

10% of x = 0.90

0.1x = 0.9

Hence the percentage tax isn't needed :

To obtain the total bill:

Let total bill = y

y = after tax cost and tip

Hence,

y = x + tip

y = x + 0.9

From : 0.1x = 0.9 ; x = 0.9/0.1 = 9

Hence,

Total bill:

y = 9 + 0.9

y = 9.9

Answer:

x = 3

Measurement of angle b: 70 degrees

Measurement of angle c: 70 degrees

Step-by-step explanation:

120° = (15x + 5) + (22x + 4)         (ext. ∠ of △)

120° = 15x + 22x + 5 + 4

(120 - 9)° = 37x

x = (111/37)

x = 3

Measurement of angle b: 22x = 4 = 22(3) + 4 = 66 + 4 = 70 degrees

Measurement of angle c: 15x + 5 = 15(3) + 5 = 45 + 5 = 50 degrees

Hope this helped!

Answer:

x = 3, ∠ B = 70°, ∠ C = 50°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ ADC is an exterior angle of the triangle , then

15x + 5 + 22x + 4 = 120 , that is

37x + 9 = 120 ( subtract 9 from both sides )

37x = 111 ( divide both sides by 37 )

x = 3

Thus

∠ B = 22x + 4 = 22(3) + 4 = 66 + 4 = 70°

∠ C = 15x + 5 = 15(3) + 5 = 45 + 5 = 50°

Answer:65

Step-by-step explanation:

13x5=65

Answer:

ingles Hablas ingles?

Answer:

8 hours and 10 minutes im pretty sure

Step-by-step explanation:

can i have heart and brainliest

Answer:

4.5 hours

Step-by-step explanation:

Multiply 1/2 hours by 9 for 4.5 hours total.

Answer:x=65 y=40

Step-by-step explanation:

1) solve for x in the second triangle by adding each degree together and setting it equal to 180 (every triangle equals 180°)

2) x should equal 65

3) do the same for the first triangle except plug in 65 (since we know it equals x) and solve for y.

Answer:

I believe 7x, 4y, and 1

Step-by-step explanation:

I belive the answer is C.

Answer:

Step-by-step explanation: The slope is 10 because when x moved positive 2, y moved positive 20 so y = 10x + b and you can just pick one point that the line crosses so I will use (2, 40) so when you put that in the equation it is 40 = 20 + b so b is 20. The answer is y = 10x + 20

Answer:

This question is incomplete so I can not answer this

Step-by-step explanation:

Because the question is incomplete

x = 18

Have a merry Christmas!

Answer:

x=18

Step-by-step explanation:

1/2x-7=1/3(x-12)

First, distribute.

1/2x-7=1/3x-4

Subtract 1/3x from both sides

1/6x-7=-4

Add 7 to both sides

1/6x=3

Multiply by 6 on both sides.

x=18

Hope this helps!

#Team Rainbows

Answer:

Yes

Step-by-step explanation:

i believe they are all yes.

Answer:

Apply the problem-solving method to solve problems involving tickets with ... How many student tickets and how many adult tickets were sold? ... Step 4. Translate: Write the equation by adding the total values of each type of ticket. ... We find the total value of each type of ticket by multiplying the number of tickets times its ...

Step-by-step explanation:

Ticket Problems: algebra word problems involving tickets, how to solve ticket word ... for distinguishing between quantity and value in this type of word problems. ... The cost of tickets for a play is $3.00 for adults and $2.00 for children . ... Use Substitution Method ... A child's ticket costs $6.00 and an adult's ticket costs $10.00.

Answer:

18

Step-by-step explanation:

y  = mx + b

m = slope

b = y-intercept

Answer:

c. function g has A y intercept of (0,4)

Answer:

x = 12

Step-by-step explanation:

Simplifying

9 + 2x = 33

Solving

9 + 2x = 33

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.

9 + -9 + 2x = 33 + -9

Combine like terms: 9 + -9 = 0

0 + 2x = 33 + -9

2x = 33 + -9

Combine like terms: 33 + -9 = 24

2x = 24

Divide each side by '2'.

x = 12

Simplifying

x = 12

Answer:

17

Step-by-step explanation:

We have two congruent triangles here.  Thus, b must be 17.

Answer:

17

Step-by-step explanation:

sides r congruent

Answer:

5. 23

6. 26

7. 20

8. 45

9. 15

10. 120

11. 60 full triangle is 180 and since it is equilateral you divide it by 3 you get 60

12. It is not possible. if you use the pyagorean theorem (not sure on spelling of that?) you get 16 so its not possible for it to be 12.

Answer:

There is no graph, add a img

Step-by-step explanation:

Answer:

im not quite sure but what i got was 19.9

Answer:

125 is answer

Step-by-step explanation:

angle sum property

180-70

110/2

55

add the 70+55

125

Answer:

125

Step-by-step explanation:

Answer:

[tex]\huge\boxed{y-8 = 5(x+1)}[/tex]

Step-by-step explanation:

An equation in point-slope form will be written in the form [tex]y - y_1 = m(x - x_1)[/tex], where a point on the graph is (x1, y1) and the slope is m.

For this equation, all we need to do is substitute the values already given to us, since we know everything needed to write an equation here. All we need is the slope, and one x/y value that's on the graph.

We know the slope is 5, and one point on the graph is (-1, 8), so we can substitute inside the equation.  

Therefore, our equation for this line in point-slope form is [tex]y-8=5(x+1)[/tex].

Hope this helped!