Congratulations! You just landed your dream job. You have three choices for your salary. Which of the following options would result in the greatest payday at the end of your first month of employment?

a. You can receive a lump sum of $1,500,000.



b. You can receive $50,000 initially and $100,000 per day for the next 30 days.



c. You can receive $.02 on the first day and double the amount received each day for the next 30 days.

Answer:  n = -2; i = 1

Step-by-step explanation:

i + 2n = -3

        i = -3 - 2n

Plug in i in 2i - 3n = 8, we get:

2i - 3n = 8

2(-3 - 2n) - 3n = 8

-6 - 4n - 3n = 8

-6 - 7n = 8

     -7n = 14

        n = -2

substitute n = -2 into i = -3 - 2n

i = -3 - 2n

i = -3 - 2(-2)

i = -3 + 4

i = 1

Answer:

The guinea pig is 210 millimeters longer than the fish.

Step-by-step explanation:

Answer:

x = 0

I hope this helps!

The area of the triangle is the amount of space on it.

The area of the triangle is 85.5 square yard

The given parameters are:

a = 12 yd

b = 16 yd

c = 15 yd

Start by calculating the semi-perimeter (s)

s = 0.5 * (a + b + c)

This gives

s = 0.5 * (12 + 16 + 15)

s = 21.5

The area of the triangle is then calculated as:

[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]

This gives

[tex]A = \sqrt{21.5 * (21.5 - 12) * (21.5 - 16) * (21.5 - 15)[/tex]

Evaluate the product

[tex]A = \sqrt{7301.9375[/tex]

Evaluate the square root

A = 85.5

Hence, the area of the triangle is 85.5 square yard

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Answer:

3 dollars 3 years

Step-by-step explanation:

don't ask

don't ask

Answer:

Step-by-step explanation:

6/9 x 45 = 2/3 x 45 = 30

[tex] \frac{2}{3} \times 45 = 30[/tex]

Answer: Approximately 24.53%

Explanation:

I could be misreading what you posted, but it appears there are 39 female Democrats out of 39+27+57+36 = 159 total people surveyed.

This leads to the percentage 39/159 = 0.2453 = 24.53% which is approximate.

Step-by-step explanation:

area : 180+130 cm2 = 310cm2

perimeter = 76cm

hope this helps you.

Answer:

P=76 cm / A=310 cm²

Step-by-step explanation:

The perimeter is the sum of all sides in a polygon;

P=20+18+10+5+10+13= 76 cm

The area which i will divide into 2 parts and add them;

The rectangle of length 20 cm and width 13 cm;

A=lw=20×13=260 cm²

The rectangle of length 5 cm and width 10 cm;

A=lw=5×10=50 cm²

A(Total)=260+50= 310 cm²

f(x) = 3x − 5 when x=−1, x=0, x=3

Answer:

-8, -2, 4

Step-by-step explanation:

1. Insert -1, 0, and 3 into x

2. Solve

Replace x with -1: f(-1) = 3(-1) − 5

Multiply 3(-1): f(-1) = -3 − 5

Subtract by 5: f(-1) = -8

The answer is -8

Now do this for the rest of the problems:

f(0) = 3(0) − 5 when x=−1, x=0, and x=3

-2 is the 2nd answer

f(3) = 3(3) − 5 when x=−1, x=0, and x=3

4 is the 3rd answer

This is my first answer, so I hope I explained it well!

Answer:

It is a trapezoid! because you can tell that that is the shape of the entire model

Answer:

Jayla's expenses are: $245.00

Jayla's revenue from the sales are: $479.00

Total profit: $234.00

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

Hope this helps! This should be correct !

Answer:

- $245

+ $479

+ $234

Step-by-step explanation:

expenses : (25 x 2) + (15 x 3) + (30 x 5) = 50 + 45 + 150 = 95 + 150 = $245

revenue : (38 x 2) + (26 x 3) + (65 x 5) =  76 + 78 + 325 = 154 + 325 = $479

total profit : 479 - 245 = $234

Answer:

[tex]\displaystyle y = 4x + 12[/tex]

Step-by-step explanation:

−4x + y = 12

+ 4x + 4x

_________

[tex]\displaystyle \boxed{y = 4x + 12}[/tex]

I am joyous to assist you at any time.

Answer:

1.) 75

2.) 75

3.) 2

Step-by-step explanation:

120n-150=45n

add 150 to both sides

120n=45n+150

subtract 45n from both sides

75n=150

divide by common number, since 75 is half of 150, use 75.

n=2

Answer:

36 degrees

Step-by-step explanation:

The whole shape is 90 degrees.

90 - 54 = 36

36 degrees

Answer:

36*

Step-by-step explanation:

a right angle is 90* and so you do

90-54=36

meaning your missing angle is 36*

Answer:

x^5+2x^3+6x+1/5

Step-by-step explanation:

our given equation is already written in standard form.

Answer:

It is already in standard form

Step-by-step explanation:

The standard equation should be arranged from high order to low order

   So x^5+2x^3+6x+1/5 = x^5+2x^3+6x+1/5

It is already in standard form

Answer:

C)

Step-by-step explanation:

[tex]\sqrt{x}[/tex] : original function

[tex]\sqrt{-x}[/tex] : reflect across the y-axis

[tex]\sqrt{-\dfrac13x}[/tex] : horizontal stretch by a scale factor of 3

[tex]\sqrt{-\dfrac13(x-3)}[/tex]: translate right 3 units

f(x) : original function

f(-x) : reflection over y-axis

f(ax) : horizontal stretch of the graph by a scale factor of 1/a

f(x - a) : horizontal translation right a units

Answer:

x=2

Hope this helps! :)

3x+5x=8x

23-7=16

16÷8

Answer:

x = 2

Step-by-step explanation:

3x + 7 = 23 - 5x

3x + 5x = 23 - 7

8x = 16

x = 2

Answer:

i believe it's actually the fourth option: lines e and f are parallel bc their same side exterior angles are supplementary

Step-by-step explanation:

its part of a theorem you learn, don't remember exactly (haven't taken geo in like 2 years lol)

Answer:

i believe it shud be c

Step-by-step explanation: it really doesn't proof that for a and be the corresponding angles are congruent..

Hope this is correct!!

Answer:

please give the complete question. cannot find answer with only half of the question

Total amount after 4 years will be $63. If he invest principle amount of $42 for rate of interest of 12.5%.

Simply multiply the principal amount by the interest rate and the time to calculate simple interest. "Simple Interest = Principal x Interest Rate x Time," the formula says. You must multiply the borrowed principal amount by 1 plus the interest rate.

The simple interest rate is the rate at which you borrow or lend money. When a borrower borrows money from a lender, the lender receives an additional sum of money. The principal is the borrowed money that is given for a specific period of time. The interest is the extra amount paid back to the lender for using the money.

First, converting R percent to r a decimal

r = R/100 = 12.5%/100 = 0.125 per year.

To find the total amount  A = P (1+rt).

= 42(1 + 0.125 *6)

=  $63

The total amount is $63

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Answer:

7.61 gallons.

Step-by-step explanation:

you take the 46, and you divide on both sides. 350÷46= approximately 7.61 gallons.

Solution:

Given ratio: [tex]0.45:1.35[/tex]

Multiply both sides by 100:

[tex]0.45:1.35[/tex]

[tex]\rightarrow 0.45 \times 100:1.35 \times 100[/tex]

[tex]\rightarrow 45:135[/tex]

Convert the ratio into a fraction:

[tex]\rightarrow 45:135 = \dfrac{45}{135}[/tex]

Simplify the fraction:

[tex]\rightarrow \dfrac{45}{135} = \dfrac{45 \div5}{135 \div 5} =\dfrac{9}{27} = \dfrac{9 \div 9}{27 \div 9} = \dfrac{1}{3}[/tex]

The simplified fraction representing the ratio 0.45 to 1.35 is 1/3.

To express the ratio 0.45 to 1.35 as a simplified fraction, we can divide both numbers by their greatest common divisor (GCD) to simplify the ratio. In this case, the GCD of 45 and 135 is 45.

So, divide both numbers by 45:

0.45 ÷ 45 = 0.01

1.35 ÷ 45 = 0.03

The simplified ratio is 0.01 to 0.03. To make it an integer ratio, we can multiply both parts by 100:

0.01 * 100 = 1

0.03 * 100 = 3

So, the simplified fraction representing the ratio 0.45 to 1.35 is 1/3.

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Answer:

Step-by-step explanation:

Use slope formula:

1) Points (1, 2) and (5, 4)

2) Points (1, -5) and (3, 5)

3) Points (2, 3) and (-1, 6)

4) Points (4, 2) and (-2, 2)

Answer:

1/5, 1, decreasing, 0

Step-by-step explanation:

[tex]\\ \rm\Rrightarrow tan^2135-cosec^260=-xcos45.sin45.cot60[/tex]

[tex]\\ \rm\Rrightarrow (-1)^2-(\dfrac{2}{\sqrt{3}})^2=-\dfrac{x}{\sqrt{2}}\times \dfrac{1}{\sqrt{2}}\times \dfrac{1}{\sqrt{3}}[/tex]

[tex]\\ \rm\Rrightarrow 1-\dfrac{4}{3}=\dfrac{-x}{2\sqrt{3}}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{3-4}{3}=\dfrac{-x}{2\sqrt{3}}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-1}{3}=\dfrac{-x}{2\sqrt{3}}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{\sqrt{3}}=\dfrac{x}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{2}{\sqrt{3}}[/tex]

Answer:

If your money is in a savings account earning 3% a year, it will take around 24 years.

Answer:

B, 34 degrees

Step-by-step explanation:

Since all triangles equal to 180 degrees, you have to add together the angles you already know and subtract from 180.

123+23=146  180-146=34

Hopefully this helps, have a nice day/night!

Answer:

Step-by-step explanation:

The triangles are similar because they have two sides and the angle between them (EFG) respectively equals, and it’s evident the factor between the two triangles is 2. So EG=2CB=2*8=16

Answer:

the value of EG is 20.

Step-by-step explanation:

3×4 = 12, AB and EF is similar but the value of AB is multiplied by 4 to become 12 for EF.

similarly, 4×4 = 16, BC and FG is similar but the value of BC is multiplied by 4 to become 16 for FG..

In this way, AC and EG are also similar so 5×4 = 20.

All the values are multiplied by 4 ...

Answer:

since ABC and ADE are similar,they have equal areas.

(AC)^2/(AE)^2=area ABC/ADE

areaABC=ACE=1

so substitute it in the afformentioned equation

u will get,AC=AE

The length of side CA in triangle ABC is c * (a² + ab + ac) / (a * (a + b + c)).

To find the length of side CA in triangle ABC, we need to use the concept of similarity and corresponding sides. Let's denote the lengths of sides in each triangle:

Triangle ABC:

Length of side AB: a

Length of side BC: b

Length of side CA: c

Triangle ADE:

Length of side AD: x (corresponding to side AB in ABC)

Length of side DE: y (corresponding to side BC in ABC)

Length of side EA: z (corresponding to side CA in ABC)

Since triangles ABC and ADE are similar, their corresponding sides are in proportion:

AD/AB = DE/BC = EA/CA

We know that AD corresponds to AB, and DE corresponds to BC, so we can set up the following proportions:

x/a = y/b

Solving for y, we get:

y = (b * x) / a

Next, we can set up the proportion for EA/CA:

z/c = x/a

Solving for z, we get:

z = (c * x) / a

Now, we have expressions for y and z in terms of x, a, and b. Since the sum of the lengths of the sides of a triangle is always constant, we can write the equation:

x + y + z = a + b + c

Substituting the expressions for y and z:

x + (b * x) / a + (c * x) / a = a + b + c

To find the value of x, we can multiply the entire equation by a to eliminate the denominator:

a * x + b * x + c * x = a² + ab + ac

Combining the x terms:

x * (a + b + c) = a² + ab + ac

Dividing both sides by (a + b + c):

x = (a² + ab + ac) / (a + b + c)

Now that we have found the value of x, we can substitute it back into the expression for z:

z = (c * x) / a

z = (c * (a² + ab + ac) / (a + b + c)) / a

Simplifying:

z = c * (a² + ab + ac) / (a * (a + b + c))

Thus, we have found the length of side CA in triangle ABC:

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