Divide 26hours and 6minutes by 6.

Answer:

65000(1.02)^n.

Step-by-step explanation:

Salary = 65000(1.02)^n   where n is the number of years he has worked for the company.

So after one year he earns $6500* 1.02 and after 2 years $65000 * 1.02^2.

The exponential function represents Mark's salary is [tex]65000(1.02)^n.[/tex]

The mathematical expression f(x)=exp or e^x denotes the exponential function.

The word, unless specifically stated differently, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

Given that Mark just landed a great job as an engineer where he will make $65,000 a year. The company he will work for guarantees a 2% pay increase each year so its employees' salaries keep up with inflation. At the end of the first year, Mark will have made $65,000.

The exponential function for the salary will be written as:-

[tex]Salary = 65000(1.02)^n[/tex]  

where n is the number of years he has worked for the company.

So after one year, he earns $6500 x 1.02, and after 2 years $65000 x 1.02².

Therefore, the exponential function represents Mark's salary is [tex]65000(1.02)^n.[/tex]

To know more about an exponential function follow

https://brainly.com/question/2456547

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Answer:

see explanation

Step-by-step explanation:

Using sum to product identities

cos x - cos y = - 2sin([tex]\frac{x+y}{2}[/tex] )sin([tex]\frac{x-y}{2}[/tex] ) = 2sin([tex]\frac{x+y}{2}[/tex] )sin([tex]\frac{y-x}{2}[/tex] )

cos x + cos y = 2cos([tex]\frac{x+y}{2}[/tex] )cos([tex]\frac{x-y}{2}[/tex] )

Note that

sin10° = sin(90 - 10)° = cos80°

Thus

[tex]\frac{2sin(\frac{10+80}{2})sin(\frac{80-10}{2}) }{2cos(\frac{10+80}{2})cos(\frac{80-10}{2}) }[/tex] ← cancel 2 from numerator/ denominator

= [tex]\frac{sin45}{cos45}[/tex] × [tex]\frac{sin35}{cos35}[/tex]

= tan45° × tan35° { tan45° = 1 ]

= 1 × tan35°

= tan35° ← as required

Answer:    see proof below

Step-by-step explanation:

* Use the following Co-function Identity: sin A = cos(90 - A)

* Use the following Sum to Product Identities:

 cos x - cos y = 2 sin [(x + y)/2] · sin [(x - y)/2]

 cos x + cos y = 2 cos [(x + y)/2] · cos [(x - y)/2]

* Use the Unit Circle to evaluate cos 45 = sin 45 = √2/2

Proof LHS → RHS

[tex]\text{LHS:}\qquad \qquad \qquad \qquad \quad \dfrac{\cos 10-\sin 10}{\cos 10+\sin 10}\\\\\\\text{Co-function Identity:}\qquad \dfrac{\cos 10 -\cos (90-10)}{\cos 10+\cos (90-10)}\\\\\\\text{Product to Sum Identity:}\quad \dfrac{2\sin (\frac{10+80}{2})\sin (\frac{80-10}{2})}{2\cos (\frac{10+80}{2})\cos (\frac{80-10}{2})}\\\\\\\text{Simplify:}\qquad \qquad \qquad \qquad \dfrac{2\sin (45)\sin (35)}{2 \cos (45)\cos (35)}[/tex]

[tex].\qquad \qquad \qquad \qquad \qquad = \dfrac{2(\frac{\sqrt2}{2}) \sin (35)}{2(\frac{\sqrt2}{2}) \cos(35)}\\\\\\.\qquad \qquad \qquad \qquad \qquad = \tan (35)[/tex]

LHS = RHS:   tan 35 = tan 35   [tex]\checkmark[/tex]

Answer:

false

Step-by-step explanation:

Answer:false

Step-by-step explanation:

Step-by-step explanation:

If we are solving for t, we have to remember that we have to isolate the variable (get its on its own). Since -1 is with t on the same side of the equation right now, we have to move the -1 to the other side of the equation. To do so, we add it's opposite to the right side (+1). Then, the -1 cancels out so we are left with an isolated t.

-6 = t - 1 (+1)

-6 = t

But we are not done yet! Whatever we do on one side, we have to do on the other side. Since we added 1 to the right, we have to add 1 on the left, too. So we add 1 to -6.

(+1) -6 = t

-6 + 1 = -5

-5 = t

Our final answer: t = - 5 (it can also be written as - 5 = t, but most people prefer the variable going first)

When we reflect every point over the x axis...

The rule you use is [tex](x,y) \to (x,-y)[/tex]

The x coordinate stays the same while the y coordinate flips in sign (in this case from negative to positive)

Answer:

Step-by-step explanation:

Answer:

£0.83

Step-by-step explanation:

This is a simple subtraction problem.

You have 10 pence. You buy something with 9.17 pence.

10 - 9.17

0.83

Label your answer in pence.

£0.83

Good luck mate :)

0t

Step-by-step explanation:

4t-3-(3t+1)=5t-4

4t-3-3t-1=5t-4

t-3-1=5t-4

t-4=5t-4

t=5t

0=6t

0=t

(Im not 100% sure about this but i think this is the answer)

Answer:

Gaming Functions

Step-by-step explanation:

I think your teacher is implying for you to explain the function and the "works" behind the game. Maybe talk about the game's programming or the way it's overall structured?

Answer:

5th degree polynomial

Step-by-step explanation:

The degree of a polynomial is the highest sum of the exponents in one term.

So we have the polynomial:

[tex]6xy^4-3x^3-4[/tex]

Calculate the degree of each term:

1st Term:

[tex]6xy^4[/tex]

This is the same as:

[tex]6x^1y^4[/tex]

So, our degree is 1+4=5.

2nd Term:

[tex]-3x^3[/tex]

There is only one variable. So, the degree is 3.

3rd Term:

[tex]-4[/tex]

This is the same as:

[tex]-4x^0[/tex]

So, this is a zeroth degree.

The largest degree is 5.

So, this is a fifth degree polynomial.

Notes:

To be more specific, this is a fifth degree trinomial.

Answer:

third degree

Step-by-step explanation:

it is a third degree polynomial because the equation is considered cubic. cubic means to the 3rd power. its cubic because there's three parts to the equation

Answer:

i think you had written the formula wrongly

so if it was -30x not -30

Step-by-step explanation:

x intercept when y=0

-30x = 15

x= -0.5

y intercept when x=0

5y= 15

y=3

- if this is the one you want

-30 +5y=15

5y =45

y=9

and there not x intercept { }

Answer:

20

Step-by-step explanation:

(2√5)²=

4*5=20

===============================================

Work Shown:

1 pint = 2 cups

8 pints = 16 cups (multiply both sides by 8)

We have an 8 pint bottle costing $16.80, so we can say

8 pints = 16.80 dollars

1 pint = 2.10 dollars (divide both sides by 8)

Answer:

$2.10

Step-by-step explanation:

2 cups in 1 pint

16 cups= 8 pints

16 cups = 16.80

16.80 divided by 8 = 2.1

Step-by-step explanation:

Remember: the formula for solving for volumes:

l • w • h

An easy way to do this is to convert all the numbers to decimals.

3 1/2 = 3.5

5 1/4 = 5.25

4 = 4

Now, we can multiply.

3.5 • 5.25 • 4 = 73.5

Convert 0.5 to a fraction: 1/2

Our final answer: D: [tex]73 \frac{1}{2}[/tex]

Answer: 6 to the second power equals 36.

Step-by-step explanation: Any number to the power of two multiples by itself.

So 6 x 6 = 36

Answer:

36

Step-by-step explanation:

6^2= 36

Answer:

$151.20

Step-by-step explanation:

(22.40x0.75)+(22.40x5)+22.40=151.20

Answer:

height of the waste is 20.0 inches.

Step-by-step explanation:

given data

volume = 5, 667.7cubic inches

radius = 9.5 inches

solution

we use here volume of a cylinder is express as

V = πr²h     .................1

put here value

5667.7 = (3.14) × (9.5²) × h

solve it we get

h = 20 inch

so height of the waste is 20.0 inches.

Answer:

f = -3/4

Step-by-step explanation:

13f + 6 -f = -3

Combine like terms

12f +6 = -3

Subtract 6 from each side

12f+6-6 = -3-6

12f = -9

Divide each side by 12

12f/12 = -9/12

f = -3/4

Answer:

f= -3/4 or -0.75

Step-by-step explanation:

We are given the equation:

13f + 6 -f = -3

First, let's combine like terms. Subtract f from 13f.

(13f-f) + 6 = -3

12f + 6= -3

We want to find f. Therefore, we must isolate the variable on one side of the equation.

6 is being added to 12f. The inverse of addition is subtraction. Subtract 6 from both sides of the equation.

12f + 6 -6 = -3-6

12f= -3-6

12f= -9

f is being multiplied by 12. The inverse of multiplication is division. Divide both sides by 12.

12f/12= -9/12

f= -9/12

This fraction can be reduced. Both the numerator and denominator can be divided by 3.

f = (-9/3) / (12/3)

f= -3/4

f=-0.75

The solution to the equation is f= -3/4 or -0.75

Answer:

A.  2a² / 5b

Step-by-step explanation:

12a³b² / 30ab³

cancel the common factor = 6

= 2a³b² / 5ab³

cancel the common factor = a

= 2a²b² / 5b³

apply exponent rule, so

= 2a² / 5b³ ⁻ ²

subtract 3 - 2 = 1

= 2a² / 5b

Answer:

64 cups of lemon juice

Explanation:

First, you can determine with the information provided the amount of cups of lemon needed to prepare sixteen cups of lemonade:

5 cups of lemonade→2 cups of lemon juice

16 cups of lemonade→x

x=(16*2)/5=6.4 cups of lemon juice

Now, you now that for sixteen cups that is the amount in a gallon you need 6.4 cups of lemon juice and you can use a rule of three to determine the amount needed for ten gallons of lemonade:

1 gallon of lemonade→6.4 cups of lemon juice

10 galons of lemonade→x

x=(10*6.4)/1=64 cups of lemon juice

According to this, the answer is that 64 cups of lemon juice are needed to make ten gallons of lemonade.

Answer:

DF=41

Step-by-step explanation:

It is given that F is the midpoint of DE. We know that, midpoint bisects the line segment. So,

DF=FE

3x+5=5x-19

Subtracting both sides by 3x

3x+5-3x=5x-19-3x

5=2x-19

Subtract both sides by 5

5-5=2x-19-5

0=2x-24

2x=24

x=12

So, the value of x is 12.

Put x = 12 in DF=3x+5

DF=3(12)+5

DF= 36+5

DF = 41

So, the value of DF is 41.

Answer:

Step-by-step explanation:

let us total the amount in her portfolio

Company A was worth $2690

Company B was worth $2980.

Total = $5670

when The stock in Company A decreases by 20%  she will have

$2690 *0.8=  $2152

Company A will worth $2152

when The stock in Company B decreases by 10%  she will have

$2980 *0.9=  $2682

Company A will worth  $2682

In all after the decline in are portfolio is $2152+$2682= $4834

the difference for the original amount in her investment is = $5670-$4834

= $836

The total percentage decrease in the investor's stock account

= (836/5670)*100= 0.147*100= 14.7 %

Answer:

14.7%

Step-by-step explanation:

It’s 14.7%

Pls make me brainliest

Answer:

18 yards i think

Step-by-step explanation:

Answer:

The expression of density of the material with a density of 6 pound per pint in grams per liter (g/L) is 5756.75 g/L

Step-by-step explanation:

The density of the material is 6 pounds per pint of volume

The given conversion factors are;

1 pint (pt) = 2 cups (cups)

1 cup (cup) = 8 fluid ounces (fl oz)

Therefore;

2 cups (cups) = 2 × 8 fluid ounces = 16 fl oz

Also given;

1 fluid ounce = 29.574 mililiters (mL)

16 fl oz = 16 × 29.574 mL = 473.184 mL

1 liter (L) = 1000 mililiters (mL)

∴ 1 mL = 1/1000 L = 0.001 L

473.184 mL = 473.184 ×  0.001 L = 0.473184 L

1 pound (lb) = 0.454 kilograms (kg)

6 lb = 6 × 0.454 kg = 2.724 kg

1 kg = 1000 grams (g)

2.724 kg = 2.724 ×  1000 grams (g) = 2724 g

Therefore, with 6 lb = 2724 g and 1 pt = 0.473184 L, the density, d, of the material in grams per liter that has a density of 6 pounds per pint is given as follows;  

d = 2724 g/(0.473184 L)= 5756.75 g/L

The expression of density of the material with a density of 6 pound per pint in grams per liter (g/L) = 5756.75 g/L = 5756.75 g/L.

Answer:

1. was (but I think it should be is)

Step-by-step explanation:

the smell of flowers was/is sweet

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

The sentence is referring to the smell, and smell is singular, so we should is or was

Hope this helps!! :)

Answer:

[tex] 4\sqrt{10} [/tex]

Step-by-step explanation:

Perimeter of the rhombus, STAR, is the sum of the length of all it's 4 sides.

The coordinates of its vertices are given as,

S(-1, 2)

T(2, 3)

A(3, 0)

R(0, -1)

Length of each side can be calculated using the distance formula given as [tex] d = \sqrt{x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Find the length of each side ST, TA, AR, RS, using the above formula by plugging in the coordinate values (x, y) of each vertices.

[tex] ST = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

S(-1, 2) => (x1, y1)

T(2, 3) => (x2, y2)

[tex] ST = \sqrt{(2 -(-1))^2 + (3 - 2)^2} [/tex]

[tex] ST = \sqrt{(3)^2 + (1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]

[tex] TA = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

T(2, 3) => (x1, y1)

A(3, 0) => (x2, y2)

[tex] TA = \sqrt{(3 - 2)^2 + (0 - 3)^2} [/tex]

[tex] TA = \sqrt{(1)^2 + (-3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]

[tex] AR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

A(3, 0) => (x1, y1)

R(0, -1) => (x2, y2)

[tex] AR = \sqrt{(0 - 3)^2 + (-1 - 0)^2} [/tex]

[tex] AR = \sqrt{(-3)^2 + (-1)^2} = \sqrt{9 + 1} = \sqrt{10} [/tex]

[tex] RS = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

R(0, -1) => (x1, y1)

S(-1, 2) => (x2, y2)

[tex] RS = \sqrt{(-1 - 0)^2 + (2 -(-1))^2} [/tex]

[tex] RS = \sqrt{(-1)^2 + (3)^2} = \sqrt{1 + 9} = \sqrt{10} [/tex]

[tex] Perimeter = ST + TA + AR + RS [/tex]

[tex] Perimeter = \sqrt{10} + \sqrt{10} + \sqrt{10} + \sqrt{10} = 4\sqrt{10} [/tex]

Answer:

1. 24 different 4-digit numbers can be formed.

Step-by-step explanation:

2. The probability that the number 3 will be the first or third digit is 1:1, which is equal to 1/2 and 50%

3. The probability is 3:1, 3/4, or 75%

4.  What is the probability that the first digit will be the number 3 and the second digit will be the number 7? Answer: 1/12

It is true as A consist {7,8,9,10,11,12} and B consists of{9,11,13} and C consist of {7,8,10,12} and D has{7,12} there are the set of numbers from 7 to 13 only so the answer is true that U={7,8,9,10,11,12,13}.

Answer:

For this case we can make the following rule of three:

1 1/2 ---------> 3/4

x --------------> 9

We clear the value of x:

x = ((9) / (3/4)) * (1 1/2)

Rewriting we have:

x = ((9) * (4/3)) * (1 1/2)

x = (36/3) * (1 1/2)

x = (12) * (1 1/2)

x = (12) * (3/2)

x = 18

Answer:

you would need 18 quarts of sparkling water to mix with 9 quarts of grape juice