Given the slope of the line containing the points (-3,1) and (a,-14) is -5/3, find the value of a.​

Answer:

A) $17,332.59

Step-by-step explanation:

$16,000(e^(0.02[or 2%] * 4)) = $16,000(e^0.08)

e^0.08 = 1.08328706767 * $16,000 ≈ $17,332.59

the amount in the account after 4 years would be approximately $18,252.85.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, For calculate the amount of money in the account after 4 years with a continuous compounding interest rate of 2%, we can use the formula:

⇒ [tex]A = Pe^{rt}[/tex]

Where A is the final amount in the account, P is the initial deposit, e is Euler's number (approximately 2.71828), r is the annual interest rate as a decimal, and t is the time in years.

In this case, we have:

P = $16,000

r = 0.02

t = 4 years

Therefore, we can calculate the final amount in the account as:

⇒ A = [tex]$16,000 e^{0.02 * 4}[/tex]

⇒ A = [tex]$16,000 e^{0.08}[/tex]

⇒ A = $18,252.85

So, the amount in the account after 4 years would be approximately $18,252.85.

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Step-by-step explanation:

m∠1 + m∠2 = 180°

(4x - 20) + (x - 15) = 180°

4x + x - 20 - 15 = 180°

5x - 35 = 180°

5x = 180° + 35°

5x = 215°

x = 215/5

x = 43°

Answer:

867/4 in3

Step-by-step explanation:

v= l*w*h= 12* 17/4* 17/4

= 51*17/4 = 867/4 in3

if my answer helps please mark as brainliest.

Answer:

[tex]V=216\frac{3}{4} in^{3}[/tex]

Step-by-step explanation:

The formula for volume of a rectangular prism is V = w × h × l, where

V represents the volume

w represents width

h represents height

l represents length

So, all we have to do to find volume is multiply these three values together, like this:

V = 12 × [tex]4\frac{1}{4}[/tex] × [tex]4\frac{1}{4}[/tex]

[tex]V=(12)(\frac{17}{4} )(\frac{17}{4} )[/tex]

Then we multiply all the numerators:

[tex]V =\frac{867}{4}[/tex]

[tex]V=216\frac{3}{4} in^{3}[/tex]

Answer:

i got you

Step-by-step explanation:

Answer: OK

Step-by-step explanation:

OK

Answer:

1. x≥-2

2. x<-2

Step-by-step explanation:

Answer:

1. n≥=-2

2. n<=-2

Step-by-step explanation:

hope this helps!! <33

Answer:

A. c = 18d + 11

Step-by-step explanation:

From the given table, we have two points : (1,29) and (2,47).

Now let us use slope formula to find the slope :

slope =18

Now we use point slope form to get the final equation.

Using point (1,29) and slope 18,

So final equation becomes c=18d +11

The answer is the Third solution.

example:

C = (18 × 2) + 11

C = 36 + 11

C = 47

Answer:

17

Step-by-step explanation:

Let the larger number be represented by x

Let the smaller number be represented by y

from the question, the next equations can be gotten :

x - y = 9  equation 1

x = 1 + 2y equation 2

Substitute for x in equation 1

1 + 2y - y = 9

1 + y = 9

Collect like terms

y = 9 - 1

y = 8

Substitute for y in equation 1 and solve for x (the larger number)

x - 8 = 9

x = 9 + 8

x = 17

Answer:

fafwqFASFASDAYGWFQEyaudfhUSEVWRGGRTHGRETARG

Answer:

36 square units

Step-by-step explanation:

base*height

9*4=36

Answer:

Step-by-step explanation:5.99x-16.95=

Answer:

Step-by-step explanation:

Property of a right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

If the length of sides of the given triangle are 7mm, 14mm and 15mm.

(15)² = (7)² + (14)²

225 = 49 + 196

225 = 245

False

Therefore, the given triangle is not a right triangle.

Answer:

For z I don't know what to do but thats for x, maybe someone else could find z for you :)

Step-by-step explanation:

5x - 89 = 61

      +89    +89

----------------------

5x = 50

----    -----

5         5

x = 10

Answer:

Would you mind posting a picture instead thank you.

Answer:

7/10 = 10/7

1/2 = 2/1

5 = 1/5

Step-by-step explanation:

The reciprocal is the flip of a fraction. 1/2 = 2/1

For a whole number (like 5) you put it over 1 (5/1) and then flip it (1/5)

Have a nice day! :)

Make me brainliest.

Answer:

The y intercept is 1/2

i.e. The starting height is 1/2

Step-by-step explanation:

Given

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

Required

Determine the y intercept --- Missing

At y intercept: [tex]x = 0[/tex]

So:

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

Substitute [tex]x = 0[/tex]

[tex]y = 0 + \frac{1}{2}[/tex]

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

The y intercept is 1/2

use quizzes and type line plot and your question it helps alot

Answer:

9.8

Step-by-step explanation:

To solve, use the Pythagorean Theorem: a² + b² = c² or c² - b² = a².

"a" and "b" are both legs of the right triangle. "c" is the hypotenuse. In this case, we need to use this formula: 14² - 10² = a² or 196 - 100 = a². This simplifies to 96 = a². This can simplify further to 9.79795897 = a. Round this to the nearest tenth: 9.8 = a.

Hope it helps!

Answer:

1.12

Step-by-step explanation:

0.68 + 0.44 = 1.12

Answer:

63

Step-by-step explanation:

9x7=63

Answer:

1 + y < -13

Step-by-step explanation:

1 + y < -13

1 and a number, y, is less than -13

Answer:

Here's what I think I know:

1) the Voltage and the Resistance

2) Watts = Amps x Volts

so: 6 watts = A x 12, A = 0.5

Volts = Amps x Resistance

12 = 0.5 x R

R = 24 ohms

3) From step 2, A = 0.5 amps

4) since this is a series circuit, Re = Rh + 24

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

The total area of the first floor is required.

The area of the floor is  144ft^2.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

given that,

A tiny house has a length of 12 feet. The width of the kitchen is 9 feet and the width of the bathroom is 3 feet. The expersion 12(9+3) represents the total area in square feet.

we have,

The length of the room is 12 feet

Width of the room is:

9+3 = 12

Area is the product of length and width

A =  12(9+3)

Applying the distributive property

A =  12(9+3)

   = 12 * 9 + 12 * 3

   = 108 + 36

   = 144

The area of the floor is 144ft^2.

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Answer:9:24

Step-by-step explanation:

We know that they will meet some time $T$ after 8:00 and that $T$ must be a multiple of 4, 7, and 6. So our job is to find the smallest multiple of those three numbers. Since 4 and 7 share no factors, the first number that is a multiple of both will be $4\cdot7=28$. Next, we must find the smallest multiple of 28 and 6. We can do this in two ways: by listing multiples of 28 until we find one that is a multiple of 6 or by finding what factors of 6 that 28 is missing and multiplying by those factors.

Method 1: The multiples of 28 go 28 (not divisible by 6), 56 (not divisible by 6), 84 (which is divisible by 6!)... So the smallest multiple of 4, 7, and 6 is 84.

Method 2: The factors of 6 are 1,2,3, and 6, so we can write 6 as $2\cdot3$. 28 is divisible by 2 but not by 3, so we must multiply it by 3. We find $28\cdot3=84$ and 84 is therefore the smallest multiple of 4, 7, and 6.

Now we just need to find the time that is 84 minutes after 8:00. Since 9:00 is 60 minutes after 8:00, we just need 24 more minutes after that (since $60+24=84$). The final time is therefore $\boxed{9:24}.$

Hence, the earliest time when all three meet back at the beginning is [tex]9:24[/tex].

What is the division?

Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers.

Here given that,

Anna, Stephanie, and James all start running around a track at [tex]8:00[/tex]. Anna completes a lap every [tex]4[/tex] minutes, Stephanie finishes a lap every [tex]7[/tex] minutes, and James finishes a lap every [tex]6[/tex] minutes.

So, the smallest multiple of [tex]4, 7[/tex] and [tex]6[/tex] is [tex]84[/tex].

Now we just need to find out the time is [tex]84[/tex] minutes so after [tex]8:00[/tex], it would be [tex]9:00[/tex] is [tex]60[/tex] minutes then after [tex]8:00[/tex], we need to move [tex]24[/tex] minutes more after that. The final time is [tex]9:24[/tex].

Hence, the earliest time when all three meet back at the beginning is [tex]9:24[/tex].

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Answer:

114.4 feet

Step-by-step explanation:

In ΔNOP, the measure of ∠P=90°, the measure of ∠N=39°, and PN = 72 feet. Find the length of OP to the nearest tenth of a foot.

We solve using Sine rule

= OP/sin P = PN/ sin N

= OP/ sin 90 = 72/sin 39

Cross Multiply

OP × sin 39 = sin 90 × 72

OP = sin 90 × 72/sin 39

OP = 114.41 feet

Approximately = 114.4 feet

Answer:

110

Step-by-step explanation:

Answer:

[tex]Probability = 84\%[/tex]

Step-by-step explanation:

First, calculate both areas

[tex]Area = Length * Width[/tex]

The area of the outer rectangle is:

[tex]Big\ Area = 20 * 25[/tex]

[tex]Big\ Area = 500cm^2[/tex]

The area of the small rectangle is:

[tex]Small\ Area = 10 * 8[/tex]

[tex]Small\ Area = 80cm^2[/tex]

The area outside the small rectangle is:

[tex]Outside = Big - Small[/tex]

[tex]Outside = 500cm^2 - 80cm^2[/tex]

[tex]Outside = 420cm^2[/tex]

So, the probability that it falls outside the paper inside is:

[tex]Probability = \frac{Outside}{Big\ Area}[/tex]

[tex]Probability = \frac{420cm^2}{500cm^2}[/tex]

[tex]Probability = \frac{420}{500}[/tex]

[tex]Probability = 0.84[/tex]

Express as percentage:

[tex]Probability = 0.84*100\%[/tex]

[tex]Probability = 84\%[/tex]

See attachment for rectangle

Answer:

x = 40

Step-by-step explanation:

180 = 100 + x +x

180-100= 2x

80 = 2x

x = 40