A group of 32 students raised money to pay for a field trip to the Outer Banks Research Park. The trip will cost $3,200 and they have raised $2,156. The students have to pay for the remaining cost of the trip. How much will each student have to pay? (Round to the nearest hundredths).

The amount that Tristan would earn in 5 years is  $657.30.

When an amount is compounded monthly, it means that both the amount invested and the interest that has already accrued increases in value every month or 12 times in a year.

The first step is to determine the future value of the investment.

The formula for calculating future value:

FV = P (1 + r)^nm

Where:

$2000 x (1.00475)^(12 x 5)

$2000 x (1.00475)^60

= $2,657.30

Amount he would earn = $2,657.30 - $2,000 = $657.30

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Answer:

  (A)  (x -2)

Step-by-step explanation:

You want to know a factor of the function whose values given in the table include (x, y) = (2, 0).

A polynomial function y = p(x) will have a factor of (x-a) if and only if p(a) = 0.

The table shows y=0 for x=2, so this polynomial function will have a factor of (x -2).

__

Additional comment

The function shown in the table is ...

  y = (x -2)²

so it actually has two factors that are (x -2).

You can tell this is a polynomial function of degree 2 because the 2nd differences are constant.

First differences between successive y-values: -7, -5, -3, -1, 1, 3

Second differences between successive first differences: 2, 2, 2, 2, 2.

1. Rewrite Divide

2. Rewrite Simplify

3. Rewrite Simplify Expressions

4. Simplify Fractions

5. and Solve

Answer:

136

Step-by-step explanation:

2720 / 20 = 136

Answer:

The answer is True

Step-by-step explanation:

In the substraction, if you reduce or increase the substrahend by a number, the result is the same number less or more

Answer: 6

:)

___________________________________

Answer:

[tex] \sf \large \: \frac{2}{27} [/tex]

Step-by-step explanation:

Let's solve this equation step by step

2/3/1/9

= 2/3/9/1

= 2/27

Answer:

3.9  It would be between the numbers 3 and 4 on a number line, but closer to 4

Step-by-step explanation:

If you put this in your calculator hit the square root button and then the number 15, your calculator will spit out 3.87298334621 then round this to the nearest tenths place.  Look at the digit 7 to decide to round up for down.  This number would be closer to 3.9 than 3.8

If the equation [tex]sin(40)=\frac{b}{20}[/tex] can be used to determine the length of segment AC, then the length of AC is 12.85 units

Given,

The equation,

sin 40 = [tex]\frac{b}{20}[/tex]

We know,

According to trigonometric equation

sin θ= Opposite side / Hypotenuse.

Length of the segment AC = b

Then,

sin 40 = [tex]\frac{b}{20}[/tex]

b= sin 40 × 20

b= 12.85 units

Hence, if the equation [tex]sin(40)=\frac{b}{20}[/tex] can be used to determine the length of segment AC, then the length of AC is 12.85 units

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Answer: C, B, D, A

Step-by-step explanation:

[tex]\ln(xy)=\ln x+\ln y\\\\\ln(x/y)=\ln x-\ln y\\\\\frac{\ln y}{\ln x}=\log_{x} y\\\\\ln (x^y)=y \ln x[/tex]

These are all standard logarithm rules.

Answer:

2x-10=x+2

x = 12

Step-by-step explanation:

Let's solve your equation step-by-step.

2x−10=x+2

Step 1: Subtract x from both sides.

2x−10−x=x+2−x

x−10=2

Step 2: Add 10 to both sides.

x−10+10=2+10

x=12

Answer: 2400 miles

Step-by-step explanation:

Round;

256 to 300

500 to 500

296 to 300

1,298 to 1,300

Add; 300 + 300 + 500 + 1,300 to get your 2,400 miles.

The direction of the vector v in standard position is approximately 253.301°.

Vectors in rectangular form present the change of each of the two variables parallel to orthogonal axes. Each point is described by the following definition:

v = (Δx, Δy)                         (1)

And the direction of a vector is equal to this inverse trigonometric function:

θ = tan⁻¹ (Δy / Δx)              (2)

If we know that Δx = - 3 and Δy = - 10, then the direction of the vector is:

θ = tan⁻¹ (- 10 / - 3)

θ = tan⁻¹ (10 / 3)

θ ≈ 253.301°

The direction of the vector v in standard position is approximately 253.301°.

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The order from least to greatest is  -14.4 < -4.6 < -4.2 < 14.7

Given sequence of numbers is -4.2, -4.6, -14.4, 14.7

Negative numbers:

A negative number is a number that is less than zero which is often used to represent the magnitude of a loss. It can be written from highest to lowest in magnitude.

So the given sequence can be written from least to greatest as

-14.4 < -4.6 < -4.2 < 14.7

Therefore, The order from least to greatest is  -14.4 < -4.6 < -4.2 < 14.7

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Answer:

270

Step-by-step explanation:

One turn would put you in quadrant 2 and would be 90.  A second turn would put you in quadrant 3 and that would be 180.  A third turn would put you in quadrant 4 and that would be 270.  I know that it is hard to see what I mean by a turn.  It would be if you had a piece of tracing paper with the figure drawn on it and you turn the paper at the origin so that the lines at the corners would like up, each turn would be 90 more degrees.

a)Amount of money left on Pablo's card in dollars = $100 - $15x

= $(90 - 15x)

b) Amount of money left on Teresa's card in dollars= $70 - $10x

= $(70 - 10x)

c) Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.

$100 - 15x = $70 - 10x

Let x be the number of pizzas purchased. For each card, write an expression for the amount of money left on the card after purchasing x pizzas.

For Pablo

Keith received a gift card of $100 for a pizza restaurant. The restaurant charges $15 per pizza.

x numbers of pizza costs = $15x

Hence, the amount of money left on Pablo's card after purchasing x pizzas = $100 - $15x

For Teresa,

Mary received a gift card of $70 for a different pizza restaurant. The restaurant charges $10 per pizza.

Hence, x number of pizzas cost =$10 × x

= $10x

Therefore, the amount of money left on Mary's card after she buys x pizzas =

$70 - $10x

Amount of money left on Pablo's card in dollars = __________

Amount of money left on Teresa's card in dollars=____________

Write an equation to show that the two cards have the same amount of money left on them.

To find the equation that shows that the two cards have the same amount of money =

Equation 1 = Equation 2

$100 - 15x = $70 - 10x

Collect like terms

-15x + 10x = $70 - $100

-5x = -30

x = 30/5

x = 6

Hence, anytime Pablo and Teresa buys ,6 pizzas their gift card will have the same amount of money left on them.

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Answer:

-4

Step-by-step explanation:

4+(-4) =

4-4 =

0

The sale of investments at a price above cost is 102,000 units.

To record the sale:
(Refer to the table shown below)

To document the sale of the security:

(Refer to the table shown below)

Record the income tax payable for the security gain:

Therefore, the sale of investments at a price above cost is 102,000 units.

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The correct question is given below:
Wharton, Inc. pays income taxes on capital gains at a rate of 30 percent. On December 31, 2015, the company owns marketable securities that cost $180,000 but have a current market value of $520,000. Record the sale of investments at a price above cost.

Answer: It's 3, because 3 is a prime number and divides evenly into 45.

Step-by-step explanation:

45 / 3 = 15

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

A function that can represent the area that can be enclosed in terms of x is 40x-x².

Given that Eighty meters of fencing is available to enclose the rectangular garden of Mang Gustin.

Area is defined as the amount of space that can be used within a flat surface or the surface of a solid. Perimeter is defined as a continuous line that forms a boundary to define a two-dimensional shape.

Let the length of garden, l=x

and the given perimeter, p=80

As we know, perimeter of rectangle is P=2(l+b).

Now, we will substitute the values and find the value of b, we get

80=2(x+b)

Now, we will divide both sides by 2, we get

80/2=2(x+b)/2

40=x+b

Further, subtract x from both sides, we get

40-x=x+b-x

40-x=b

Now, we will find the area of rectangle by using the formula A=lb.

Substitute the values in above formula, we get

A=x(40-x)

A=40x-x²

Hence, the area that can be enclosed in terms of x is 40x-x².

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Answer: 1.90 miles

Step-by-step explanation:

The conversion rate for meters to kilometers is 1 meter for 0.001 kilometers. Using this rate you can do, [tex]3070m*\frac{0.001km}{1m}[/tex]. The m units cancel and you're left with 3.07km. Since we are given the conversion rate of 1 kilometer = 0.62 miles, we can do, [tex]3.07km*\frac{0.62mi}{1km}[/tex]. again the km units cancel and you're left with 1.9034 mi. Rounded to the nearest hundredth to get 1.90.

Step-by-step explanation:

2/5

5/6

1/3

3/7

...........

Answer:

b=4

Step-by-step explanation:

it works

Answer:

Approximately ≈

Step-by-step explanation:

Answer:

approximately equal to
or
Approximate equality

The mean of binomial experiment has the given number of trials and the given success probability n=2 p=0.2 is 0.2

It is given that probability of success is 0.2.

According to Bernoulli distribution

Mean = probability of success

         = 0.2

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The complete question is given below :

A binomial experiment has the given number of trials and the given success probability n=2 p=0.2 then find mean

The person who has a greater number will be Carlos since 5.3 is more than -5.3.

It should be noted that Carlos find the absolute value of -5.3. This will be - (-5.3) = 5.3.

On the other hand, Jason find the opposite of -5.3 and then find the absolute value of his answer. This will still be -5.4

Therefore, the person who has a greater number will be Carlos.

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Answer:

Step-by-step explanation:

Simplify ((b^4)^4) / ((b^2)^3).First lets simplify the numerator. ((b^4)^4). The notation is b to the fourth power, to the fourth power, which is multiplying sixteen b’s. That explains why we multiple the exponents, to get b^(16) for the numerator.Similarly we simplify the denominator by multiplying the exponents for ((b^2)^3) = b^6.Putting the simplified numerator and denominator together is (b^(16))/(b^6).The six b’s in the denominator cancel six b’s in the numerator for (b^(16))/(b^6) = b^(10). Final answer b^(10).Note, another way to view (b^(16))/(b^6) = (b^(16)) * (b^(-6)) then add the exponents to have the same answer (b^(10))

Answer:

in one bouquet there are 3 red so in two bouquets there must be 6

Answer:

-10.25

Step-by-step explanation:

I'm not sure if this is what you want, but -7.5-2.75= -10.25

2(6m+12)=180

12m+24=180

12m=156

m=13

The peak height reached at 144 feet, and the graph passing through points (0, 120), (1, 144), (2, 120), gives;

1. The vertex form of a quadratic equation is f(x) = a•(x - h)² + k

Where;

a = The leading coefficient

(h, k) = The coordinates of the vertex.

Let t represent the time of travel of the ball and let h represent the height.

From the given table, we have;

f(t) = a•(t - h)² + k

f(0) = 120 = a•(0 - h)² + k = a•h² + k

120 = a•h² + k

f(1) = 144 = a•(1 - h)² + k = a•(h² - 2•h + 1) + k

f(1) = a•(h² - 2•h + 1) + k

f(1) - f(0) = 144 - 120 = 24 = -((2•h - 1)•a

24 = -((2•h - 1)•a

f(2) = 120 = a•(2 - h)² + k

f(2) - f(1) = -24 = -((2•h - 3)•a

(f(1) - f(0)) - (f(2) - f(1)) = 48 = -2•a

Therefore;

a = -24

24 = -((2•h - 1)•a

24 = -((2•h - 1)×(-24)

-1 = -((2•h - 1)

2•h - 1 = 1

h = 2/2 = 1

h = 1

120 = a•(2 - h)² + k

120 = (-24)•(2 - 1)² + k

k = 120 + 24 = 144

Which gives;

The vertex form is y = -24•(x-1)² + 144

From the vertex form, we have;

y = -24•(x-1)² + 144 = -24•(x²-2•t+1) + 144

y = -24•(x²-2•tlx+1)+ 144 = -24•x²+48•x - 24 + 144

y = -24•x²+48•x + 120

y = -24•x² + 48•x - 24 + 144 = -24•x²+ 48•x + 120

y = -24•x² + 48•x + 120

The height of the ball after 1.5 seconds is

y = -24×1.5² + 48×1.5 + 120 = 138

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