Dominic and his parents plan to share the cost of his college education. The annual



tuition cost for the college he wants to attend is $7,260 per year. His parents will pay 80%



of the annual tuition. He has one year to save his portion of the first year's tuition. What is



the minimum monthly amount he needs to save?

Answer:

{\(t|0\leq t\leq 50\)}

Step-by-step explanation:

We are given that

In a freefall skydive, a skydiver begins at an altitude during free fall =10,000 feet

The skydiver drops towards earth at a rate=175 ft/s

The height of the skydiver from the ground can be modeled using the function

\(H(t)=10000-175t\)

We have to find the domain of the function for this situation.

When t=0

Then ,\(H(0)=10,000 feet\)

From given graph we can see that the value of t  lies  from 0 to 50.

Therefore, the domain of the function for this situation is given by

{\(t|0\leq t\leq 50\)}

Answer:

The answer is 156.

Step-by-step explanation:

You simply multiply 240 by 65% which it will be 156.

Answer:

let the number be a.

now,

5a-13=10

or, 5a= 10+13

or, a = 23/5

or, a = 4.6

therefore, the number is 4.6

Answer:

38

Step-by-step explanation

Answer:

16

Step-by-step explanation:

The balance of the account after 2.4 years is 975.22.

To find the balance of the account, we need to calculate the interest earned over 2.4 years and add it to the initial principal of 925.

The formula for simple interest is:

I = P × r × t

where:

I = interest earned

P = principal (initial amount of money)

r = annual interest rate (as a decimal)

t = time (in years)

Plugging in the values given in the problem, we get:

I = 925 × 0.023 × 2.4

I = 50.22

Therefore, the interest earned over 2.4 years is 50.22.

To find the balance of the account, we need to add the interest earned to the initial principal:

Balance = Principal + Interest

Balance = 925 + 50.22

Balance = 975.22

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The height of building ramp is h = 2 foot.

The base of the building ramp is b = 4 foot.

The code for new bulding is,

Let the new base be x for new building code and height remain same h = 2.

So Carrie increase the base from 4 foot to 8 foot.

Detemine the adjustment in base.

Thus Carrie increase the base by 4 foot to meet the new code for the building.

Answer:

Step-by-step explanation:

X Is 16 because if youMultiply both sides of the equation by

4

3

.

4

3

⋅

3

4

⋅

x

=

4

3

⋅

12 this equals=16. (If u need more help I can be ur tutor free of charge)I teach pre k too 7th grade

Answer:

∠ BAC = 54°

Step-by-step explanation:

the chord- chord angle BAC is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is

∠ BAC = \(\frac{1}{2}\) (BC + FD ) , that is

10x + 4 = \(\frac{1}{2}\) (12x + 15 + 9x - 12)

10x + 4 = \(\frac{1}{2}\) (21x + 3) ← multiply both sides by 2 to clear the fraction

20x + 8 = 21x + 3 ( subtract 21x from both sides )

- x + 8 = 3 ( subtract 8 from both sides )

- x = - 5 ( multiply both sides by - 1 )

x = 5

Then

∠ BAC = 10x + 4 = 10(5) + 4 = 50 + 4 = 54°

Answer: 40

Step-by-step explanation:

38+ 52=90

230-90=40

Answer:

Step-by-step explanation:

interval in mathematics stands for a set of real numbers,

denoted by [a,b] where a and b are the starting and ending real numbers both inclusive respectively.

thus, interval [a,b] is the set of real numbers starting from a to b both are real numbers and are included.

The probability of choosing five representatives from the Eastern Conference and six from the Western Conference is 0.647 that is 11/17.

Given that,

The eastern conference's six player representatives and the western conference's twelve player representatives will make up the players' labor negotiating committee.

We have to calculate the probability of choosing five representatives from the Eastern Conference and six from the Western Conference.

We know that

The players are chosen without replacement from the sample, the hypergeometric distribution is applied.

distribution that is hypergeometric

\(P(X=x)=h(x,N,n,k)=\frac{C_{k,x}C_{N-k,n-x} }{C_{N,x}}\)

\(C_{n,x}=\frac{n!}{x!(n-x)!}\)

The conditions are:

The number of victories is x.

N is the population's size.

The size of the sample is n.

The total number of desired results is k.

In this issue:

18 representatives are present, therefore N=18

6 belong to the Eastern Conference; as a result k=6

11 samples were used, so, n=11

The probability is P(X = 5), hence:

\(P(X=5)=h(5,18,11,6)=\frac{C_{6,5}C_{18-6,11-5} }{C_{18,5 }}\)

\(\frac{C_{6,5}C_{12,6} }{C_{18,5 }}\)

(6×924)/8568

5544/8568

0.647

Therefore, The probability of choosing five representatives from the Eastern Conference and six from the Western Conference is 0.647 that is 11/17.

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Answer:

196 miles

Step-by-step explanation:

distance (D) is calculated as

D = S × T ( S is average speed and T is time in hours )

here T = 3 and a half hours = 3.5 hours and S = 56 , then

D = 56 × 3.5 = 196 miles

Answer:

g = b/2h

Step-by-step explanation:

The given equation is :

4gh = 2b

We need to find the value of g.

Dividing both sides of the above equation by 4h. So,

\(\dfrac{4gh}{4h}=\dfrac{2b}{4h}\\\\g=\dfrac{b}{2h}\)

So, the value of g is b/2h.

Answer:

25 minutes and 33 seconds

Step-by-step explanation:

please brainiest

Answer:

f(x) = 0.5x^3 + 2.5x^2 - 75x

Step-by-step explanation:

To write the equation of a polynomial with given x-intercepts and passing through a point, we can use the factored form of the polynomial:

f(x) = a(x - r1)(x - r2)(x - r3) ...

where r1, r2, r3, ... are the x-intercepts, and a is a constant that scales the polynomial vertically. Since the x-intercepts are 0, 10, and -15, we can write:

f(x) = a(x - 0)(x - 10)(x + 15)

Expanding this expression gives:

f(x) = a(x^3 + 5x^2 - 150x)

To find the value of a, we can use the fact that the polynomial passes through the point (2, -136):

-136 = a(2^3 + 5(2^2) - 150(2))

Simplifying this equation gives:

-136 = -272a

Dividing both sides by -880 gives:

a = 0.5

Therefore, the equation of the polynomial is:

f(x) = 0.5x^3 + 2.5x^2 - 75x

The triangle similar to triangle ABC will be the triangle with the corresponding angles as same as 50°, 75°, 55°.

A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -

∠x + ∠y + ∠z = 180°

The sum of two sides of a triangle is greater then the third side. Mathematically -

a + b > c

There are different types of triangles such as -

equilateral triangle , scalene triangle , isosceles triangle etc.

Given is a triangle ABC in which angle [A] is 50° and angle [C] is 75°

The third angle of the triangle would be -

A + B + C = 180

50 + 75 + C = 180

C = 180 - 125

C = 55°

The triangle similar to triangle ABC will be the triangle with the corresponding angles as same as 50°, 75°, 55°.

Therefore, the triangle similar to triangle ABC will be the triangle with the corresponding angles as same as 50°, 75°, 55°.

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Answer:

160 mg/kg

Step-by-step explanation:

36-47 pounds 4-5 years 1.5 tablets

The given function (t) = 6(e^(-0.01t) - 0.06) models the concentration of the antibiotic in the bloodstream after taking a tablet, where t represents time measured in hours and (t) represents the concentration measured in ug/mL.

1. Initial concentration: Substituting t = 0 into the function, we get:

  (0) = 6(e^(-0.01 * 0) - 0.06) = 6(1 - 0.06) = 6(0.94) ≈ 5.64 ug/mL.

  So, the initial concentration is approximately 5.64 ug/mL.

2. Limiting concentration: As t approaches infinity, the term e^(-0.01t) tends to zero, and we have:

  lim (t→∞) (t) = 6(0 - 0.06) = 6(-0.06) = -0.36 ug/mL.

  Therefore, the concentration approaches -0.36 ug/mL as time goes to infinity. Note that negative concentrations do not have physical meaning, so we can consider the limiting concentration to be effectively zero.

3. Behavior over time: The exponential term e^(-0.01t) decreases exponentially with time, causing the concentration to decrease as well. The term -0.06 acts as a downward shift, reducing the overall concentration values.

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Answer:

15,460

Step-by-step explanation:

38460-23000= 15460

Answer:

Whether lending or borrowing, sharing a car can have its risks. ... Whether it's a friend in a jam or a family member visiting from out of state, drivers ... Customs officers are often on the lookout for stolen cars, so you may want to provide the driver with a ... Our daughter is off at college and sometimes barrows a friends car.

Step-by-step explanation:

The thickness measurements of the metal pieces should be centered around a mean value, with the majority of the measurements falling within a certain range and then tapering off towards the tails of the distribution.

Measuring the thickness of pieces of metal with the same dimensions using a micrometer/caliper due to variability in the dimensions caused by errors during the manufacturing process. The distribution of the measurements taken by the entire lab section is expected to resemble a normal distribution, also known as a Gaussian distribution or bell curve.

The reason for this expectation is that the manufacturing process may introduce small, random errors that affect the dimensions of the metal pieces. The central limit theorem states that, given a large enough sample size, the distribution of these random errors will approximate a normal distribution.

The thickness measurements of the metal pieces should be centered around a mean value, with the majority of the measurements falling within a certain range and then tapering off towards the tails of the distribution.

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Convert USD to THB, multiply amount of USD by the current exchange rate between USD and THB, which can be found on financial news or currency exchange websites, to get the equivalent amount in THB.

To convert US dollars (USD) to Thai baht (THB), you need to use the current exchange rate between the two currencies. Here are the steps to convert USD to THB:

Find the current exchange rate between USD and THB. This information can be found on financial news websites, currency exchange websites, or by contacting a bank or currency exchange service.

Multiply the amount of US dollars you want to convert by the current exchange rate to get the equivalent amount in Thai baht. For example, if the current exchange rate is 1 USD = 31.50 THB and you want to convert 100 USD to THB, the calculation would be:

100 USD x 31.50 THB/USD = 3,150 THB

Therefore, 100 USD is equal to 3,150 THB.

Note: The exchange rate between USD and THB can fluctuate over time, so make sure to use the current exchange rate for the most accurate conversion.

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Answer:

375 = 40x + 100

Step-by-step explanation:

Answer:

322

Step-by-step explanation:

230 x 1.4 = 322

Answer:

The matrix method is basically making the matrix in the picture equal to

{1   0 = x}

{0   1 = y}

To do this you must multiply reciprocals and add opposites to make 2x = 1, 7y = 0, 3x = 0, and -12y = 1.

I used the simple way of solving linear equations:

3(2x + 7y = 48)

-2(3x - 12y = 27)

6x + 21y = 144

-6x + 24y = -42

       45y/45 = 102/45

y = 34/15 or 2.26667

Plug in y-value to get x-value:

2x + 7(34/15) = 48

     - 7(34/15)     -7(34/15)

2x = 482/15

2x/2 = 482/15/2

x = 241/15 or 16.06667

Answer:

Step-by-step explanation:

(a) To sketch the graph of this sinusoid, we can use the given information. The graph will have peaks and valleys representing the maximum and minimum populations of foxes over time. At t = 0, the population is not specified, so we can start the graph at t = 2.9 years when the minimum number of 200 foxes occurred. At t = 5.1 years, the next maximum of 800 foxes occurred. The graph will be symmetric about the midpoint between these two points.

(b) To write an equation using the sine function, we need to find the amplitude, period, and phase shift of the sinusoid. The amplitude is half the difference between the maximum and minimum values, which is (800 - 200) / 2 = 300. The period is the time it takes for one complete cycle, which is the difference between the times of the two peaks, 5.1 - 2.9 = 2.2 years. The phase shift is the horizontal shift of the graph, which is the time at which the sinusoid starts, t = 2.9 years.

Therefore, the equation expressing the number of foxes as a function of time, t, is:

f(t) = 300 * sin((2π / 2.2) * (t - 2.9))

(c) To predict the population when t = 7 years, we substitute t = 7 into the equation:

f(7) = 300 * sin((2π / 2.2) * (7 - 2.9))

Simplifying the expression will give us the predicted population at t = 7.

(d) To find the values of t when the foxes were first endangered (population drops below 300), we need to determine the points where the sinusoid crosses the line y = 300. By analyzing the graph or solving the equation f(t) = 300, we can find the two non-negative values of t between which the foxes were first endangered.

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