Linda Davis agreed to lend money to Alex Luciano at a special interest rate of ​9% per​ year, on the condition that he borrow enough that he would pay her ​$400 in interest over a ​-year period. What was the minimum amount Alex could​ borrow?

Arithmetic or geometric 10, 4, -2, -8

ans

arithmetic

9514 1404 393

Answer:

  D'(2, -1)

Step-by-step explanation:

Dilation about the origin by factor k multiplies each coordinate by that factor:

  (x, y) ⇒ (kx, ky)

For k = 1/3, this is ...

  (x, y) ⇒ (x/3, y/3)

  D(6, -3) ⇒ D'(6/3, -3/3) = D'(2, -1)

Answer:

It’s  -3

Step-by-step explanation:

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

[tex]\mathsf{-3^2+ (-4+7) (2)}[/tex]

[tex]\mathsf{-3^2 = \bf -9}[/tex]

[tex]\mathsf{-9+(-4+7)(2)}[/tex]

[tex]\mathsf{(-4+7)=\bf 3}[/tex]

[tex]\mathsf{-9+ (3)(2)}[/tex]

[tex]\mathsf{3(2)=\bf 6}[/tex]

[tex]\mathsf{-9+6}[/tex]

[tex]\mathsf{-9+6=\bf -3}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf -3}}}\huge\checkmark[/tex]

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

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

Answer:

145.0 cm^2

Step-by-step explanation:

Given data

r= 4cm

l= 5cm

h=??

Apply Pythagoras theorem to find h we have

h^2= 4^2+5^2

h^2= 16+25

h^2= 41

h=√41

h= 6.4cm

Substitute into the formula for the surface area of cone

A=πr(r+√h^2+r^2)

A=3.14*4(4+√6.4^2+4^2)

A=12.56(4+√40.96+16)

A=12.56(4+√56.96)

A=12.56(4+7.547)

A=12.56*11.547

A=145.0 cm^2

Answer:

Step-by-step explanation:

Answer:

1/216

Step-by-step explanation:

Answer:

Exact form = 1/216.

Decimal form = 0.004629

Answer:

Angular velocity: [tex]\omega = \frac{7\pi}{18} \,\frac{rad}{s}[/tex] ([tex]1.222\,\frac{rad}{s}[/tex])

Linear velocity: [tex]v = \frac{14\pi}{3}\,\frac{m}{s}[/tex] ([tex]14.661\,\frac{m}{s}[/tex])

Step-by-step explanation:

The gear experiments a pure rotation with axis passing through its center, the angular ([tex]\omega[/tex]), in radians per second, and linear velocities ([tex]v[/tex]), in inches per second, of a point on the outer edge of the element are, respectively:

[tex]\omega = \frac{2\pi}{60}\cdot \dot n[/tex] (1)

[tex]v = R\cdot \omega[/tex] (2)

Where:

[tex]\dot n[/tex] - Rotation rate, in revolutions per minute.

[tex]R[/tex] - Radius of the gear, in inches.

If we know that [tex]\dot n = \frac{35}{3}\,\frac{rev}{min}[/tex] and [tex]R = 12\,in[/tex], then the linear and angular velocities of the gear are, respectively:

[tex]\omega = \frac{2\pi}{60}\cdot \dot n[/tex]

[tex]\omega = \frac{7\pi}{18} \,\frac{rad}{s}[/tex] ([tex]1.222\,\frac{rad}{s}[/tex])

[tex]v = R\cdot \omega[/tex]

[tex]v = \frac{14\pi}{3}\,\frac{m}{s}[/tex] ([tex]14.661\,\frac{m}{s}[/tex])

Answer:

237.5

Step-by-step explanation:

Answer:

im pretty sure it's d

Step-by-step explanation:

because i put that and i got a good grade

THATS A LOT

Step-by-step explanation:

Answer:

6i

Step-by-step explanation:

Answer:

It is 5/5 or 1/1 as it goes up 5 and to the left 5!!!

Answer:

[tex] \sqrt{233} [/tex]

Step-by-step explanation:

Given:

(1, -7) and (9, 6)

Required:

Distance between the two points

Solution:

Distance formula is given as [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] (1, -7) = (x_1, y_1) [/tex]

[tex] (9, 6) = (x_2, y_2) [/tex]

Plug in the values

Distance between both points = [tex] d = \sqrt{(9 - 1)^2 + (6 -(-7))^2} [/tex]

[tex] d = \sqrt{(8)^2 + (13)^2} [/tex]

[tex] d = \sqrt{64 + 169} [/tex]

[tex] d = \sqrt{233} [/tex]

Answer:

50

Step-by-step explanation:

∠J=2×∠L=50

When two angles are subtended by the same arc, the angle at the centre of a circle is twice the angle at the circumference

Answer:

it would also be 25°

Step-by-step explanation:

if you fold it in half then it is symmetrical.

Answer:

a=11

Step-by-step explanation:

Let's solve your equation step-by-step.

√a+5=4

Solve Square Root.

√a+5=4

a+5=42(Square both sides)

a+5=16

a+5−5=16−5(Subtract 5 from both sides)

a=11

Check answers. (Plug them in to make sure they work.)

a=11(Works in original equation)

Answer:

man's age = 54

daughter's age = 18

Step-by-step explanation:

x = man's age

y = daughters age

x = 3y

x - y = 36

substitute for x:

3y -y = 36

2y = 36

y = 18

x = 54

If a man has a daughter who is three times his age. The father and daughter will be 54 and 18, respectively, assuming their ages are 36 years distant.

Equations are statements that affirm the equivalence of two expressions that are joined by the equals symbol "=". An equal sign ("=") links two expressions together to form an equation. The two expressions on each side of the equals sign are referred to as the "left-hand side" and "right-hand side" of the equation.

It is given that, A man is three times as old as his daughter. If the difference in their ages is 36 years,

We have to find the ages of the father and daughter.

Suppose the age of the father and daughter will be x and y respectively.

If the man is three times as old as his daughter,

x = 3y

If the difference in their ages is 36 years

x - y = 36

Put the value of x as,

3y -y = 36

2y = 36

y = 18

x = 54

Thus, if a man has a daughter who is three times his age. The father and daughter will be 54 and 18, respectively, assuming their ages are 36 years distant.

.Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

Answer:

Number of Bacteria, B(t)   2    4      8      16

Step-by-step explanation:

To find the B(t) values when t equals 0 through 3, look at the diagram and count the number of bacteria: when t is 0, B(t) is 2, when t is 1, B(t) is 4; when t is 2, B(t) is 8; and when t is 3, B(t) is 16.

Every second of video time equals 20 minutes of real time. So, one hour, or 60 minutes, of real time is 3 seconds of video time, which results in 16 bacteria.

Number of Bacteria, B(t)   2    4      8      16

The total number of bacteria after the first hour(60 minutes) is 16.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

According to the question

He is taking screenshots of the video after every second of video time, with each second of video time correlating to 20 minutes of real time.

In the video, each bacteria cell splits into two cells with each passing second, as seen in the images from the video.

To find the B(t) values when t equals 0 through 3, look at the diagram and count the number of bacteria: when t is 0, B(t) is 2, when t is 1, B(t) is 4; when t is 2, B(t) is 8; and when t is 3, B(t) is 16.

Every second of video time equals 20 minutes of real time. So, one hour, or 60 minutes, of real time is 3 seconds of video time, which results in 16 bacteria.

Number of Bacteria, B(t)   2    4      8      16

Hence,

The total number of bacteria after the first hour(60 minutes) is 16.

Find out more information about unitary method here

brainly.com/question/22056199

#SPJ2

Answer:

squares.com

Step-by-step explanation:

i dont really know what "square" you are talking about, but if it is this hope it helps!

https://www.mathsisfun.com/square-root.html

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-difference-squares/e/factoring_difference_of_squares_2

https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratics-multiplying-factoring/x2f8bb11595b61c86:factor-perfect-squares/e/factoring-perfect-squares

:)

Answer:

The correct answer is = 22.4 km

Step-by-step explanation:

⬇ Hey, the answer is down below! :) ⬇

For y: x = -3

For y it stays the same.

For x: y = 2

For x it stays the same too.

For 1.): [tex]x = \frac{1}{6}y + \frac{-4}{3}[/tex]

Step-by-step explanation:

For y there is no step-by-step explanation unfortunately.

For x there isn't a step-by-step explanation too unfortunately.

⬇ For 1.) there is a step-by-step explanation! ⬇

For step 1 we should flip the equations.

6x + 8 = y

For step 2 we should add -8 to both sides.

6x + 8 + − 8 = y + −8

= 6x = y − 8

For step 3 we should divide both sides by 6.

[tex]\frac{6x}{6} = \frac{y - 8}{6}[/tex]

= x = [tex]x = \frac{1}{6}y + \frac{-4}{3}[/tex]

In result we should have [tex]x = \frac{1}{6}y + \frac{-4}{3}[/tex] as the answer!

Answer:

26

Step-by-step explanation:

22+22= 44

96-44=52

52 devided by 2=26

Hope that helps:)

Answer:

10

Step-by-step explanation:

IQR= Q3-Q1

Q3=50

Q1=40

50-40=10

Median=43

Answer:

both, and I didn't know other people watch the anime

Answer:

He's both lol

Step-by-step explanation:

Answer:

y = 1/4x + 7

Step-by-step explanation:

A perpendicular line will have an opposite reciprocal slope, so the slope will be 1/4

Plug in the given point and slope into y = mx + b, then solve for b

y = mx + b

5 = 1/4(-8) + b

5 = -2 + b

7 = b

Plug in b and the slope into y = mx + b

y = 1/4x + 7

So, the equation of the line is y = 1/4x + 7

Answer:

[tex]\huge \pink{ \boxed{ \sf{ \green{αηsωεя}}}} \ [/tex]

Answer:

B - there is a loss of $100

Step-by-step explanation:

Since nothing got sold, your equation becomes 10(0) - 100, or just -100, meaning $100 was lost.

Hopefully this helps- let me know if you have any questions!

Answer:

The sum of the series is 3/2

Step-by-step explanation:

Given

1 + 1/3 + 1/3^2 + ....

Required

The sum of the series

This implies that we calculate the sum to infinity.

We have:

[tex]a = 1[/tex] -- The first term

First, calculate the common ratio (r)

[tex]r = \frac{1}{3^2} / \frac{1}{3}[/tex]

Change to product

[tex]r = \frac{1}{3^2} * \frac{3}{1}[/tex]

Solve

[tex]r = \frac{1}{3}[/tex]

The sum of the series is then calculated as:

[tex]S_{\infty} = \frac{a}{1 - r}[/tex]

[tex]S_{\infty} = \frac{1}{1 - 1/3}[/tex]

Solve the denominator

[tex]S_{\infty} = \frac{1}{2/3}[/tex]

Express as product

[tex]S_{\infty} = 1 * \frac{3}{2}[/tex]

[tex]S_{\infty} = \frac{3}{2}[/tex]