The equation to model Exponential Growth is:
y= a(1+r)*
y= total amount
a= starting amount
r= the growth rate as a decimal
t= number of growth periods
Question 2 (1 point)
You have been gotten a job offer and the company wants to start you out at $45,000
and will give you a 5% raise every year. Write an equation you could use to
determine how much you would be making after x number of years.

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Since 1 cubic feet = 62 pounds, the weight of the water that Jerry put in the aquarium is 558 pounds

We have to find the volume of water in the aquarium.

Recall the shape of the aquarium is a rectangular prism. Therefore,

volume = lwh

where

Therefore,

l = 3 ft

w = 2 ft

h = 1.5 ft

volume =  3 × 2 × 1.5

volume of water = 9 ft³

Therefore,

1 ft³= 62 pounds

9 ft³ = ?

cross multiply

weight of water = 9 × 62

weight of water = 558 pounds

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Answer:

Step-by-step explanation:

[tex]\mathbf{m}=-\frac{1}{2}[/tex]

⇒ Find the slope of the line that is perpendicular to y = 2x + 7 :

     ↓

     [tex]\mathbf{m}=-\frac{1}{2}[/tex]

I hope this helps you

:)

Answer:

the answer is C which one is this

Answer:

143

Step-by-step explanation:

I'm not sure if this is correct but this is what I came up with:

all angles combined must add to 360

125+55+37= 217

360-217=143

Answer:

g(x)=3x--2

Step-by-step explanation:

please mark me as brainlest

Answer:

1728000

Step-by-step explanation:

40 feet is 480, then convert hour tom minute (times 60) then times 60 again to convert minute to second (times 60)

Hope this helps!

If Aja was approved for a $185,000 mortgage is true Aja's closing costs are between $3,700 and $12,950.

This is the amount of money paid for the mortgage settlement or closing.

The closing costs are equal to 2-7% of the cost of the loan.

185,000 x 0.02 = $3700 (2%)

185,000 x 0.07 = $12,950 (7%)

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Answer:

[tex]\sf \theta=\dfrac34 \ radians=42.97 \textdegree \ (nearest \ hundredth)[/tex]

Step-by-step explanation:

Formulae

[tex]\sf radius (r)=\dfrac12 d[/tex]

(where d is the diameter of a circle)

[tex]\sf arc \ length =r\theta[/tex]

(where r is the radius and [tex]\theta[/tex] is measured in radians)

Calculation

Given:

Substituting these values into the formula for arc length:

[tex]\implies \sf 3 =4\theta[/tex]

[tex]\implies \sf \theta=\dfrac34 \ radians[/tex]

To convert radians to degrees use

[tex]\sf 1 \ rad \cdot \dfrac{180\texrdegree}{\pi}[/tex]

[tex]\implies \sf \dfrac34 \cdot \dfrac{180\texrdegree}{\pi}=42.97183463...\textdegree[/tex]

Now

[tex]\\ \rm\rightarrowtail \theta=\dfrac{l}{r}[/tex]

[tex]\\ \rm\rightarrowtail l=r\theta[/tex]

[tex]\\ \rm\rightarrowtail 3=4\theta[/tex]

[tex]\\ \rm\rightarrowtail \theta=\dfrac{3}{4}^c[/tex]

Answer:

Can you use a specific question please

Step-by-step explanation:

Answer: = 17 7/

Step-by-step explanation:

8 1/5 + 9 1/2 = 177/

10

= 17 7/

Hey there!

This grocer is mixing two kinds of coffee. I always love the smell of coffee!

We will say that x sells for $1.15 per pound and y sells for $2.75 per pound.

Altogether there are 24 pounds of coffee he is selling.

The algebraic equation would be x + y = 24

At $1.30 per pound, he will make 24 * $1.30 = $31.2

So, how many of the x and y kinds of coffee should he use to make the $1.30 per pound mixture which will net him $31.2?

The algebraic equation would be 1.15x + 2.75y = 31.2

We now have two equations :

x+y = 24

1.15x + 2.75y = 31.2

Substituting x= 24 -y in the second equation gives us

1.15(24-y) + 2.75y = 31.2

27.6 - 1.15y + 2.75y = 31.2

27.6 + 1.6y = 31.2

1.6y = 31.2 - 27.6

0.3y= 3.6

y= 2.25

x + y = 24

x + 2.25 = 24

x = 24 -2.25

x = 21.75

If y=2.25, then x= 21.75 as well.

So, he will use 21.75 pounds of the $1.15 per/lb one and another 2.25 pounds of the $2.75per/lb one.

~Done~

Answer:

15.6

Step-by-step explanation:

complementary angles sum up to 90

90-74.4=15.6

therefore the measure of it's complementary angle is 15.6

The range of a dataset is the distance between the maximum value and the minimum value. The range is found by subtracting the minimum value from the maximum value: maximum - minimum = range.

Maximum value of this dataset = 20.4

Minimum value of this dataset = 10.1

20.4 - 10.1 = 10.3

Range = 10.3

Hope this helps!

Answer:

10.3

Step-by-step explanation:

Given set of values

Maximum value

Minimum value

Range

Answer:

option b

Step-by-step explanation:

It is option b

Your answer is 4(x+1)²

Answer:

B

Step-by-step explanation:

Given functions:

[tex](f \circ g)(x) & =f[g(x)][/tex]

This means substitute the x of f(x) with the function g(x).

[tex]\implies f[g(x)]=4(x+1)^2[/tex]

Answer:

y = 76

Step-by-step explanation:

Since x = 4

Substitute:

y = 19(4)

Multiply the numbers

y = 76

~Lenvy~

Answer:

The Answer is 0.04

Step-by-step explanation:

Answer:

Based on the argument behind the correctness of the assumption is impossible, so we rule that the assumption is correct, now is the answer

The second answer from above

For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.

Bias is an error due to sampling or testing by selecting or preferring one outcome over others.

Leo applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial shade. This shows that Leo is bias.

For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.

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Answer:

His conclusion is not valid. 

He should have put both tarps over the area of the yard that receives full sunlight. So that the experiment can be valid.

Step-by-step explanation:

Answer:

₱ 248,452.51

Step-by-step explanation:

₱ 248,452.51

Answer : B

Explanation :

f - 3 and one third = 1 and two thirds goes with the word problem.

Answer: B

f - 3 and one third = 1 and two thirds

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Answer:

Average: a calculated "central" value of a set of numbers

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How to find it in the average:

Add all of the numbers given, then divide by the number of digits.

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Example:

Question 1. ) Find the average of the digits.

10, 12, 7, 9, 14, 8, 5, 19

Step 1. Add all of the numbers - 70

Step 2. Count how many different numbers there are - 8

Step 3. Take your first answer and your second and divide them

Step 4. 70 ÷ 8 = 8.75 So 8.75 would be the average

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Answer:

12 because it is a common factor of the denominators

Answer:

178

Step-by-step explanation:

Answer:

[tex]2551\dfrac{1}{2}[/tex]

Step-by-step explanation:

[tex]\bf l = 20\dfrac{\sf 1}{4} \ in = \dfrac{81}{4} \ in[/tex]

[tex]\bf w = 10\dfrac{1}{2} = \dfrac{21}{2} \ in\\\\\\h = 12 \ in[/tex]

Volume of rectangular prism = l*w*h

                                                 [tex]= \dfrac{81}{4}*\dfrac{21}{2}*12\\\\\\= 81 *\dfrac{21}{2}*3\\\\\\= \dfrac{5103}{2}\\\\\\= 2551 \dfrac{1}{2} \ cubic \ inches[/tex]

Answer:

[tex]\sf 2551\frac12 \ cubic \ inches[/tex]

Step-by-step explanation:

volume of a cuboid = width × length × height

Given:

Substituting given values into the formula for volume:

[tex]\sf \implies volume=10\frac12 \times 20\frac14 \times 12[/tex]

                  [tex]\sf =\dfrac{21}{2} \times \dfrac{81}{4} \times \dfrac{12}{1}[/tex]

                  [tex]\sf =\dfrac{21 \times 81 \times 12}{2 \times 4 \times 1}[/tex]

                  [tex]\sf =\dfrac{20412}{8}[/tex]

                  [tex]\sf =2551\frac12 \ in^3[/tex]

Answer:

B. 1/4

Step-by-step explanation:

Even though A is a fraction it is also an integer (4)

There are six ways in which the word FOOT may be spelt starting at any letter.

The term combianntion offers a plausible way to carry out a selection as long as we do not give preference to the order in which the selection is made. In this case, we are told that we can start from any letter therefore order is not important.

There are four letters in FOOT and one letter is repeated twice therefore;

4C2 = 4!/(4-2)! 2!

4C2 = 4 * 3 * 2!/2! * 2 *  1

4C2 = 12/2

4C2 = 6

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Answer:

  7/3

Step-by-step explanation:

To write the ratio with no units. we need to have both parts of the ratio in the same units. That way the units cancel.

__

  6 weeks : 18 days = (6×7) days : (6×3) days = 7 : 3

The ratio as a fraction is ...

  (6 weeks)/(18 days) = 7/3

The value of x in the equation, as a mixed number in simplest form is solved as: x = 2 2/9.

To solve for a variable, say x, in an equation, it means to find the value of x that will make the equation true. Do this by isolating x in the equation.

Given the equation:

x/−8 = −5/18

Cross multiply

18x = (-5)(-8)

18x = 40

Divide both sides by 18

x = 40/18

x = 2 2/9.

Therefore, the value of x in the equation, as a mixed number in simplest form is solved as: x = 2 2/9.

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