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Answer:

\text{Compounded Continuously:}

Compounded Continuously:

A=Pe^{rt}

A=Pe

rt

P=7500\hspace{35px}r=0.015\hspace{35px}t=8

P=7500r=0.015t=8

Given values

A=7500e^{0.015(8)}

A=7500e

0.015(8)

Plug in

A=7500e^{0.12}

A=7500e

0.12

Multiply

A=8456.22638685

A=8456.22638685

Use calculator (with e button)

A\approx 8500

A≈8500

Round to nearest hundred dollars

Step-by-step explanation:

The amount of money to the nearest hundred dollars that would be in the account after 8 years is  $60,900.

The formula for calculating future value when there is continuous compounding is : A x e^r x N

Where:

7500 x e^0.015 x 8 = $60,900

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The 62nd term of the arithmetic sequence -27, -21, -15 is 339

The nth term of an arithmetic sequence is expressed as:

Tn =a+(n-1)d

Given the sequence -27, -21, -15

a is the first term = -27

d is the common difference = -21 + 27 = 6
n = 62

Substitute

T62 = -27 + (62-1)(6)
T62 = -27 + 61(6)

T62 = -27 + 366
T62 = 339

Hence  the 62nd term of the arithmetic sequence -27, -21, -15 is 339

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Answer:

7.82 = 391

50

= 741

50

as a fraction

To convert the decimal 7.82 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

7.82 = 7.82

1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

7.82

1

= (7.82 × 100)

(1 × 100)

= 782

100

.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(782,100) = 2. So,

(782÷2)

(100÷2)

= 391

50

when reduced to the simplest form.

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 782

100

is also equal to 741

50

when expressed as a mixed number.

Step-by-step explanation:

Answer:

7.82

20

Step-by-step explanation:

hope this helps

Answer:

line c and e

Step-by-step explanation:

Answer:

Isaac earned $117.99 this week

Step-by-step explanation:

Percentages

The N% of a quantity M is calculated as follows:

N * M / 100

Isaac earns a 9% commission for his sales.

This week he sold $1,311, thus his commission is:

9 * 1,311 / 100 = 117.99

Isaac earned $117.99 this week

Answer:

C.

Step-by-step explanation:

add the numbers (power numbers)

=4^8

Answer:

Convection

Step-by-step explanation:

The correct option is  C Radiation.

Conduction means transfer of energy (heat) arising from temperature differences between adjacent parts of a body.

Convection is the transfer of thermal energy by the physical movement of fluid (liquid, gas, or plasma) from one location to another.

Radiation is an electromagnetic radiation that is emitted by a body as a result of its temperature. All objects with a temperature above absolute zero emit thermal radiation in a spectrum of wavelength.

Sublimation is the process of changing a solid into a gas without passing through the liquid phase. To sublime a substance, a certain energy must be transferred to the substance via heat (q) or work (w).

Hence from all the above definitions it is clear that every phenomenon except  radiation transfer some amount of thermal energy.

Hence through Radiation thermal energy is not transferred.

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Step-by-step explanation:

Given that the function for the temperature of the dishwasher is

f(x) = 360 - 15x

We are told that x represents the number of minutes it takes to cool down.

with a given/known value of x we can predict the temperature of the dishwasher.

Say x=12 minutes, we can tell what the temperature will be after 12 minutes

by plugin in the value of x=12 in the expressions for the temperature

f(x) = 360 - 15(12)

f(x) = 360 - 180

f(x) = 180

The temperature after 12 minutes will be 180°

Answer:

B. (1) is the value of x

Step-by-step explanation:

Answer:

i got -0.5

Step-by-step explanation:

Answer:

you did not give wat you wanted us to do so I would say 9.85- (37*w)

Answer:

5039.05

Step-by-step explanation:

Add everything and then multiply by 5

Answer:

5039.05

Step-by-step explanation:

Answer: you add them up

Step-by-step explanation:

Explanation:

Combining like terms is commonly used to solve algebraic expressions. Like terms are those species or variables that are the same in any algebraic representation.

  Different mathematical operations can be performed on like species. We can add, divide, multiply, subtract, factorize, etc those terms.

Take for example;

   Solve;

        5x + 3  = 4x + 6

To solve this simply collect the like terms;

     5x  and 4x, 3 and 6 are like terms

       5x - 4x  = 6 - 3

        x  = 3

This is one way of solving problems by collecting like terms.

Answer:

Boys: 300 or 60%, girls: 200 or 40%, total number of students: 500 or %100

Step-by-step explanation:

So basically:

1. We know that 60% is boys and we're trying to figure out the exact amount. We know the other 40% (girls) is a total of 200.

2. First take the 40% and half it so we get 20% in order to do that we have to do the same to the 200 girls and half the number into 100. Now we know 20% is equal to 100 students. Given that information we would multiply the 20% by 3 to get the 60% of boys. Now we would also multiply the 100 by 3 and now we have 300.

3. We now know that we have 300 boys and 200 girls. Add them together for the total of students and you get 500.

I hope this helps:)

Answer:

Stretch of 2/3, right by 7

Answer:

it is 480 yards!

Step-by-step explanation:

Answer:

480

Step-by-step explanation:

Answer:

T + S  = 18.33.

Step-by-step explanation:

If T is the cost of the drink and S is the cost of the snacks, then its easy.

The cost of the drink plus the cost of the snacks.

Answer:

Susana

Step-by-step explanation:

divide the m by the time to get how many mps

50/40.8=1.225 mps

100/60.2=1.661 mps

200/112.4=1.779 mps

Answer:

Okay, I haven't done this a long time however I believe with this you have to solve the equation by doing substitution.

Step-by-step explanation:

so, if f (x) equals 13, you replace the x in the equation to 13.

f(x)=-2x+5

f(x)=-2(13)+5

f(x)=26+5

f(x)=31

I believe 41 would be your answer. Hope this is right and it helped!

Answer:

[tex]x = - 18.825[/tex]

Step-by-step explanation:

[tex] \frac{5}{6}( \frac{3}{8} - x)

= 16 \\ \frac{(5)(3)}{(6)(8)} - \frac{5x}{6} = 16 \\ 15 - 40x = 768\\ 40x = 15 - 768\\ x = - 18.825[/tex]

The value of x for the equation to be equal is- 40/753

Given the linear equation expressed as:

5/6 (3/8 - x) = 16

Open the parenthesis

5/16 - 5/6x = 16

Collect the like terms

-5/6x = 16 - 5/16
-5/6x = 251/16

Cross multiply

1506x = -80
x = -80/1506
x = -40/753
Hence the value of x for the equation to be equal is- 40/753

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Step-by-step explanation:

negative it is hope it helps

Answer:

I believe if it has the word 'adds' it's positive.

Answer:

30miles

Step-by-step explanation:

You go 5 miles everyone 1 hour (you can find this out by dividing 20 by 4)

5 multiplied by 6 equals 30

The lines is represented by (D)

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity.

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides.

As, the solution given:

put x=3

y-1 = 0

y=1

Similarly, x= 6

y-1= 5/3 * (3)

y-1 = 5

y=6

Hence, the lines represent y-1 = 5/3 ( x- 3)

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Answer:y-1 = 5/3 ( x- 3)

Answer:

k over 3 +17 =12

Step-by-step explanation:

-15/3=-5

-5+17=12

Answer:

119

Step-by-step explanation:

62+57

Answer:

x

−

4

=

−

8

=

Step-by-step explanation:

Answer:

Im pretty sure its C

Step-by-step explanation:

Hope you get it right! :)

The constant of proportionality of a line is also referred to as its slope. The graph shows a constant of proportionality of 2 is the Graph C

The constant of proportionality of a line is also referred to as its slope. Hence according to the question, we are to determine the line that has a slope of 2.

The formula for calculating slope of a line is expressed as:

Slope = y2-y1/x2-x1

Using the graph with coordinate points (3, 6) and (1, 2). The slope of the line is expressed as:

Slope = 2-6/1-3
Slope = -4/-2
Slope = 2

Hence the graph shows a constant of proportionality of 2 is the Graph C

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