At what rate would $1,200 earn $96 in 8 years?

Answer:

Below in bold.

Step-by-step explanation:

0.3. e^3x = 27

Taking logs of both sides:

ln (0.3. e^3x) = ln 27

ln (0.3) + ln e^3x = ln 27

ln e^3x = ln 27 - ln(0.3)

3x = ln 27 - ln 0.3

3x = ln(27/0.3) = ln 90

x = 1/3 ln 90

x = ln (90^1/3)

Approximate value of x:

= 1.499936557

= 1.500 to the nearest thousandth.

[tex]sin = \frac{opposite}{hypotenuse} = \frac{3}{5} = 0.6\\\\cos = \frac{adjacent}{hypotenuse} = \frac{4}{5} = 0.66666666666666666666666666666667\\\\tan = \frac{opposite}{adjacent} = \frac{3}{4} = 0.75\\\\hypotenuse = 5[/tex]

HOPE THIS HELPS :)

Answer:

y=-1/2x+7

Step-by-step explanation:

y-y1=m(x-x1)

y-3=-1/2(x-8)

y=-1/2x+8/2+3

y=-1/2x+4+3

y=-1/2x+7

If he could walk directly from the back door to the barn door, he would walk 10.2 yards less.

First, let's define our coordinate axis, I will use north as the y-axis and east as the x-axis.

So let's assume that Loto begins at the point (0, 0).

Then:

So he walked a total of 8yd + 6yd + 12yd + 5yd = 33yd

So he just moves from (0, 0) to (20yd, 11yd), thus the displacement is:

[tex]D =\sqrt{(20yd - 0yd)^2 + (11yd - 0yd)^2} = 22.8ft[/tex]

So, if he could walk directly he would only walk 22.8 ft

The difference is:

33yd - 22.8yd = 10.2 yd.

He would walk 10.2 yards less if he could walk directly from the back door to the barn door.

If you want to learn more about displacements, you can read:

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Answer:

Slope=0.12   power is down by 28%

Step-by-step explanation:

:)

6x+3y=13

6x+3y-13=13--13

6x+3y-13=0

Answer:

i think probably x = 10

Step-by-step explanation:

sin(60°) = 5√3/x

√3/2 = 5 √3/x

√3 x = 10√3

x = 10

Answer:

Step-by-step explanation:

[tex]5(x - 2) + x = 6(x -4)[/tex]

[tex]6x-10=6x-24[/tex]

[tex]6x-10+10=6x-24+10[/tex]

[tex]6x=6x-14[/tex]

[tex]6x-6x=6x-14-6x[/tex]

[tex]0=-14[/tex]

Answer:

0..........5

Step-by-step explanation:

Answer:

• As x approaches -∞, g(x) approaches -∞; and as x approaches ∞, g(x) approaches ∞.

Step-by-step explanation:

[tex]{ \tt{g(x) = \frac{ {x}^{2} + 5x}{3x} }} \\ [/tex]

If x approaches -∞;

[tex]{ \tt{g( {}^{ - } \infin}) = \frac{ {( {}^{ - } \infin)}^{2} + {}^{ - } \infin}{ {}^{ - } \infin} } \\ \\ { \boxed{ \tt{g( {}^{ - } \infin) = {}^{ - } \infin }}}[/tex]

If x approaches +∞;

[tex]{ \tt{g( {}^{ + } \infin) = \frac{ {( \infin)}^{2} + \infin}{ \infin} }} \\ \\ { \boxed{ \tt{ g( {}^{ + } \infin) = {}^{ + } \infin }}}[/tex]

Note: I'm taking my infinite value to be 1,000

Answer:

30

Step-by-step explanation:

sh well cm to cm et FL to

Answer:

I am not sure what the P is.

2,300,000,00. X 5% = $115,000,000. Commission

Step-by-step explanation:

Step-by-step explanation:

1 10.38

2 16.77

3 11.499

4 11.486

5 0.0947

6 30.52875

7 525

8 32.57862069

9 16.5625

Answer:

A,C and D are the answers.

Step-by-step explanation:

I did it on Khan Academy and got it right.

Answer:

See the calculation below

Step-by-step explanation:

[tex]16 + 13 + 20 = 49[/tex]

[tex]blue = \frac{16}{49} \times 4900 \\ = 1600[/tex]

[tex]green = \frac{13}{49} \times 4900 \\ = 1300[/tex]

[tex]black = \frac{20}{49} \times 4900 \\ = 2000[/tex]

Step-by-step explanation:

I don't really know what demonstrating with rigid motion means, never heard that before. But a method for demonstrating it could be drawing circumferences of radius:

1) R1 = d(O,S)

2) R2 = d(O,J)

3) R3 = d(O,M)

With O being the origin of the reference system.

*Note: d(A,B) means distance between point A and point B

After you've done that you can show that the points S and P are on the same circumference, J and W are on the same circumference (different from the one of S and P), M and D are on the same circumference.

After you've done that you calculate the angle between the points on the same circumference and demonstrating that they are all the same.

Answer:

Step-by-step explanation:

Congruent

Shift right 1 unit and up 5 units

Rotate 90 degrees clockwise about (-1, 2)

Or

just rotate 90 degrees clockwise about (1, -1)

Answer:

It'd be a rational number

Step-by-step explanation:

Real numbers are a set of numbers containing all of the rational numbers and all of the irrational numbers.

Types of numbers in the rational number "section" are decimals, whole, mixed, and fraction numbers whether they are negative or positive they are rational numbers.

Irrational numbers are numbers that cannot be expressed as the ratio of two integers. So they would be square root, pi and more.

Answer:

(fog)(x) = 2sqrt(x) + 3

Domain: {x | x ∈ R, x>=0}

Step-by-step explanation:

(fog)(x) = f(g(x))

let f(a) = f(g(x))

f(a) = 2a+3 = 2(g(x)) + 3 = 2sqrt(x) + 3

To find domain, pick most restricting domain of the functions that make up the compound function.

Answer:

  96°

Step-by-step explanation:

We assume you intend ...

  ΔLMN ~ ΔQRS

Then corresponding angles have the same measure:

  ∠M = ∠R = 26°

  ∠L = ∠Q = 58°

  ∠N = ∠S = 180° -26° -58° = 96° . . . . sum of a triangle's angles is 180°

The measure of angle S is 96°.

Let's simplify step-by-step.

[tex]12a^2*b^4-36a^2*b+44abc=[/tex]

There are no like terms.

Answer:

[tex]12a^2*b^4-36a^2*b+44abc=[/tex]

Answer:

3/16 as a decimal is equal to 0.1875.

Let's convert the given fraction to a decimal number.

Explanation:

To convert any fraction to decimal form, we just need to divide its numerator by denominator.

Here the fraction is 3/16 which means we need to perform 3 ÷ 16.

So, 3/16 is equal to 0.1875.

Hope that helps you in some way.

Answer:

260 miles in 4 hours equals (260 / 4) = 65 miles per hour

In 10 hours she can drive 650 miles

Step-by-step explanation:

Answer: b. liquid asset.

The money in your checking account, savings account, or money market account is considered liquid because it can be withdrawn easily to settle liabilities.

A savings account is a liquid asset that can be easily converted into cash. Hence, option b  is correct.

A savings account is considered a liquid asset because it can be easily converted into cash without any significant loss in value.

Unlike long-term assets that may require a lengthy process to convert into cash, such as real estate or investments, savings accounts offer quick access to funds.

This makes them highly liquid and suitable for short-term financial needs. Liquid assets provide individuals with a sense of financial security and flexibility, as they can be readily used to cover emergencies, expenses, or investments.

Overall, a savings account serves as a convenient and safe option for individuals to save and access their money when needed.

Hence, It is an example of a liquid asset which is option b.

To learn more about assets visit:

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Yes, because x turns to into 1/10.

Carry learning!

Stay safe!