Natalie earns $15 per hour. The store offers her a raise-a 4% increase per hour. After the raise, how much will Natalie make per hour?

Answer:

$8,014.30

Step-by-step explanation:

Answer:

Step-by-step explanation:

a-b=2

[tex]\frac{27^{\frac{1}{3} b} }{9^{\frac{1}{2}a } } \\=\frac{(3^{3}) ^{\frac{1}{3} b} }{(3^{2} )^{\frac{1}{2} a} } \\=\frac{3^b}{3^a} \\=3^{b-a} \\=3^{-(-b+a)} \\=3^{-2}\\=\frac{1}{3^2} \\=\frac{1}{9}[/tex]

Question:

(a) How many bacteria would be found in 24 hours

(b) How many bacteria would be found in 2 days

(c) How long for 1000 bacteria to be found

Answer:

(a) 282429536481 bacteria

(b) [tex]7.97*10^{22[/tex] bacteria

(c) 6 days

Step-by-step explanation:

The question illustrates an exponential function

[tex]y = ab^x[/tex]

Where

[tex]a = Initial\ Value = 1[/tex]

[tex]b=Rate = 3[/tex] --- i.e. triples

[tex]x = number\ of\ hours[/tex]

Solving (a): Bacteria in 24 hours

In this case:

[tex]x = 24[/tex]

Substitute [tex]x = 24[/tex], [tex]b = 3[/tex] and [tex]a = 1[/tex]

So:

[tex]y = ab^x[/tex]

[tex]y = 1 * 3^{24[/tex]

[tex]y = 1 * 282429536481[/tex]

[tex]y = 282429536481[/tex] bacteria

Solving (b): Bacteria in 2 days

[tex]2\ days =48\ hours[/tex]

So:

[tex]x = 48[/tex]

Substitute [tex]x = 48[/tex], [tex]b = 3[/tex] and [tex]a = 1[/tex]

So:

[tex]y = ab^x[/tex]

[tex]y = 1 * 3^{48[/tex]

[tex]y =7.97*10^{22[/tex] bacteria

Solving (c): How long for 1000 bacteria

In this case:

[tex]y = 1000[/tex]

Substitute [tex]y = 1000[/tex], [tex]b = 3[/tex] and [tex]a = 1[/tex]

So:

[tex]y = ab^x[/tex]

[tex]1000 = 1 *3^x[/tex]

[tex]1000 = 3^x[/tex]

Take Log of both sides

[tex]Log1000 = Log3^x[/tex]

This gives:

[tex]Log1000 = xLog3[/tex]

Make x the subject

[tex]x = \frac{Log1000}{Log3}[/tex]

[tex]x \approx 6[/tex]

Hence: It takes 6 days

Answer:

Her potential energy is approximately 4481 J.

Step-by-step explanation:

Because the formula for potential energy is PEg = 9.81 * mass * height, just plug in the knowns. After you plug those in, you will get the potential energy as 9.81 * 450, which is approximately 4481 J.

Answer:

C- 3

Step-by-step explanation:

Answer:

The Akkadian and Assyrian empires were two of the world’s first empires. Their conquests reshaped Mesopotamia. The many empires that would follow, worldwide,

Step-by-step explanation:

Answer:

199.8 km to the 1 decimal point

Step-by-step explanation:

8:36 to 9:00 is 24 min

9:00 to 10:00 is 60 min

10:00 to 10:57 is 57 min

That's a total of 24 + 60 + 57 = 141 min = 141/60 hr.

d = rt = 141/60(85) = 199.8 km to the 1 decimal point

Answer:

1: 23.85

2: 83%

3: 44

Step-by-step explanation:

1 - do 53x0.45 (23.85)

2 - Divide 20 by 24, which you get 0.833333333 and move the decimal 2x to the right. You get 83.3333333, but round. So 83%

3 - do 80x0.55 (44)

Answer:

85 cards

Step-by-step explanation:

Answer:

Ur right it's C.448

Step-by-step explanation:

I did it on goo.gle lol

hope this helps luv

Answer:

∠A = 77°

Step-by-step explanation:

Given:

Inscribe quadrilateral

Opposite angles

∠A = (2x + 9)°

∠B = (3x + 1)°

Find:

Value of ∠A

Computation:

We know that in Inscribe quadrilateral sum of Opposite angles are 180

So,

(2x + 9)° + (3x + 1)° = 180°

5x + 10 = 180

x = 34°

So,

∠A = (2x + 9)°

∠A = 2(34) + 9°

∠A = 77°

Answer:

x = 33°

Step-by-step explanation:

From the figure attached,

FB and FC are two secants intersecting each other at point F outside the circle.

Measure of angles between the secants measures half of the difference between the intercepted arcs.

x° = [tex]\frac{1}{2}(\text{arc BC}-\text{arc DE})[/tex]

x° = [tex]\frac{1}{2}(108-42)[/tex]

x = 33°

Answer:

C

Step-by-step explanation:

tan α=opposite side /adjacent side

tan P=16/12=4/3

tanQ=12/16=3/4

Answer: if you take 2,000- (-3,500) you get 5,500 ft, making this the distance. Also, think about it this way 2,000 is 2,000 ft from 0, and then there is another 3,500 past zero, putting these together makes the amount of space they are away from each other in total.

Note that when subtracting a negative it becomes positive, using the keep change change rule 2,000 - (-3,500) becomes 2,000 + 3,500

Answer:

Your answer is 5xz + 2xy - 3yz

Step-by-step explanation:

The expression is not factorable with rational numbers.

Therefore, You cannot factor the equation.

~Hoped this helped!~

~Brainiliest, please~

Answer:

B

Step-by-step explanation:

Divide each coordinate by 2

3/2=1.5

2/2=1

Answer:

Total fringe needed = 132 inches

Step-by-step explanation:

P.S - The exact question is -

Given - Alejandra plans to sew fringe on a scarf. The scarf is shaped like a rectangle. The length of the scarf is 44 inches. The width is one half the length.

To find - How much fringe does Alejandra need?

Proof -

Total fringe needed = Perimeter of the rectangle.

Now,

We know that,

Perimeter of the Rectangle = 2(Length + Width)

Now,

Given that,

Length = 44 inches

Width = one half the length

          = [tex]\frac{1}{2}[/tex] × 44 = 22 inches

⇒Width = 22 inches

∴ we get

Perimeter of the Rectangle = 2(44 + 22)

                                             = 2(66) = 132 inches

⇒Perimeter of Rectangle = 132 inches

∴ we get

Total fringe needed = Perimeter of the rectangle = 132 inches

⇒Total fringe needed = 132 inches

Answer:

Step-by-step explanation:

tan23=h1/500

h1=500tan23

tan50=h2/500

h2=500tan50

The height of the building is h1+h2 so

H=500(tan23+tan50)ft (exact)

H=808.1 ft (rounded to nearest tenth of a foot)

Answer:

x=1

Step-by-step explanation: Snap Add?

I don't know what this means:

"because the consecutive angles of a parallelogram are . Solving for x gives x ="

I know that (5x-12) + (x+6)

1. 5x-12+x+6=0

2.6x-6=0

3.6x=6

4.x=1

Answer:

The bill was $36.95 without tax.

The price before tax was the amount of $37.25 which is before a 9% sales tax was added to their bill.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

Their bill was charged a 9% sales tax.

Amy paid the bill with a $10 gift certificate plus $30.60

Use the equation P + rP =T,

where P is the price before tax, r is the sales tax rate, and T is the total price, including tax.

The price before tax (P) is unknown.

The total price(T) = 30.60 + 10 = 40.60

The sales tax rate (r) = 9% = 9/100 = 0.09

⇒ P + rP = T

Substitute the values in the above equation, and we get

⇒ P + (0.09)P = 40.60

⇒ P(1 + 0.09) = 40.60

⇒ P(1.09) = 40.60

⇒ P = 30.60/(1.09)

Apply the Division operation, and we get

⇒ P = 37.247706

Rounded to the nearest hundredth

⇒ P = 37.25

Therefore, the price before tax was the amount of $37.25.

Learn more about Arithmetic operations here:

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Answer:

They are both 12

Change 16 1/4 into 4.

4 • 3

12

16 • 3 is 48

1/4 of 48 is 12

Hope this helps

Answer:

2

Step-by-step explanation:

( n^2)×3 can be written as 3(n^2)

Answer: Sofia used the length of one of the legs as c when she should have used the length of the longest side as c.

Step-by-step explanation: The leg is the smallest number and the hypothenuse is the biggest nunber.

Answer:

Sofia used the length of one of the legs as c when she should have used the length of the longest side as c.

Step-by-step explanation:

Answer:

$872.70

Step-by-step explanation:

Add all numbers from Mon-Fri.

So 985.

Multiply it by 0.78

So $768.30

Add 0.78 and 0.38

So 1.16

Then multiply 90 by 1.16

So $104.40

Then add the two numbers.

768.30+104.40

So $872.70

Hope this helps

Answer:

The slope is 4

The y-intercept is 3 OR (0, 3)

Step-by-step explanation:

Points on the graph: ( -1, -1) and (0,3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3+1)/(0+1)

m=4/1

m = 4

Point slope-intercept:

y - y1 = m(x - x1)

y + 1 = 4(x + 1)

y + 1 = 4x + 4

y = 4x + 3

Answer:

15.4 I did this on delta math

It would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.

The formula for calculating the future value (FV) of an investment with continuous compounding is:

[tex]FV = Pe^{rt}[/tex]

Where P is the initial principal, r is the annual interest rate (expressed as a decimal), t is the time period (in years), and e is the mathematical constant e (approximately 2.71828).

In this case, we have P = $350, r = 4.5% = 0.045, and we want to find the time t when the FV is $700. Substituting these values into the formula, we get:

[tex]700 = 350e^{0.045t}[/tex]

Dividing both sides by $350, we get:

[tex]2 = e^{0.045t}[/tex]

Taking the natural logarithm of both sides, we get:

[tex]ln(2) = ln\times e^{0.045t}[/tex]

Using the properties of logarithms, we can simplify this to:

ln(2) = 0.045t ln(e)

Since ln(e) = 1, we can simplify further to:

ln(2) = 0.045t

Finally, solving for t, we get:

t = ln(2) / 0.045 ≈ 15.4

Therefore, it would take approximately 15.4 years, to the nearest tenth of a year, for the value of the account to reach $700 with continuous compounding.

To know more about continuous compounding follow

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Answer:

OMG THANK YOU-

Answer:

I think that is a function

Step-by-step explanation: