City university projects that planned expansion will increase the number of enrolled students every year for the next five years by 10%. If 400 students enroll in the first year of the plan how many students are expected to enroll in the fifth year of the plan ?

Answer:

three four five

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Emma has £37 in her bank account she starts putting £7 into her account each week write and solve an equation to find how many weeks it will take for emma to have £100 in her bank account r

(100 - 37) : 7 =

63 : 7 = 9

check

37 + 9 * 7 = 100

the answer is good

[tex]\stackrel{\textit{area of the great circle}}{A=\pi r^2}\hspace{5em}81\pi =\pi r^2\implies \cfrac{81\pi }{\pi }=r^2\implies 81=r^2 \\\\\\ \sqrt{81}=r\implies 9=r \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{surface area of the sphere}}{SA=4\pi r^2}\hspace{5em}SA=4\pi (9)^2\implies SA=324\pi ~in^2[/tex]

Answer:

X=10

Step-by-step explanation:

1. 1/3 (2x-8)=4

2. 2x/3 - 8/3 = 4

3. 2x/3 = 4+2 2/3

2x/3 = 6 2/3

2x/3 = 20/3(Criss cross method)

6x = 60

x=10

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Answer:

Step-byThe equation of the line with slope 2 is y=2x+b, b is a constant which should be determined. The line passes via through points (1, 2) and (3,y)

(1, 2): 2=2+b --> b=0

So, the equation of the line is y=2x. Now, when x=3, y=6. So the line y=2x passes through points (1, 2) and (3, 6). (3,y)=(3, 6).-step explanation:

The instantaneous rate of change in the percent of households that used the internet for electronic banking in the year 2000 is; 6.8%

Formula for instantaneous rate of change is;

f'(x) = (f(b) - f(a))/(b - a)

From the table showing the the percent of households that used the internet for electronic banking in the year 2000, we can find the instantaneous rate of change as;

f'(2000) = (f(2001) - f(1999)]/(2001 - 1999)

f'(2000) = (21.6 - 8)/(2001 - 1999)

f'(2000) = 13.6/2

f'(2000) = 6.8

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Answer:

No solution or Undefine

Step-by-step explanation:

No, there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one are congruent to the included angle and corresponding two sides of the other triangle.

Two figures are congruent if their vertices can be mapped into one another by appropriate rigid transformation or a combination of rigid transformations. Examples of the transformation are; reflection, dilation, rotation and translation.

Comparing the two figures, it would be observed that they are not congruent. Since there is not a rigid transformation or a combination of rigid transformations that will map ABCD to WXYZ.

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Answer:not congruent.

Step-by-step explanation:

Answer:

2)   10.01 year

Step-by-step explanation:

1) already answered elsewhere in your posts

2)    9000 = 6500 e^(.0325 * t)          where t = years

      9000/6500 = e^(.0325*t)          take ln (natural log) of both sides

      .3254224 = .0325t

        t = 10.01      10.01 year

The cab rate model for Fwam will be given as y=2.8x+4.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Here we have an equation model for Lamonte y=2.2x+2.5 here y is the total cost and x is the distance in miles.

So here Fwam charges a $4 pick up fee and $2.80 per mile. The equation model will be:-

y=2.8x+4.

Hence cab rate model for Fwam will be given as y=2.8x+4.

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Answer:

45%

Step-by-step explanation:

Divide 27/60, which gives you 0.45. Multiply that by 100, you get 45 percent.

Answer:

45%

Step-by-step explanation:

27/60

Here we go ~

It's been given that :

[tex]\qquad \sf  \dashrightarrow \: \vec{v} = - \vec{u}[/tex]

And magnitude of vector u is 6 units and with a direction 330°

And we are asked to find the magnitude and direction of vector v ~

So, let's get stated ~

As we can observe, vector v and vector u have equal magnitude because they have equal sign between them.

that is :

[tex]\qquad \sf  \dashrightarrow \: | \vec{v} | = | \vec{u}| [/tex]

[tex]\qquad \sf  \dashrightarrow \: | \vec{v}| = 6 \: units[/tex]

And the negative sign in the equation shows that the two vector have opposite directions or you can say they are anti-paralllel.

So, we can just rotate vector u by 180° to get vector v ~

[tex]\qquad \sf  \dashrightarrow \: \hat{n} = 330 \degree - 180 \degree[/tex]

[tex]\qquad \sf  \dashrightarrow \: \hat{n} = 150 \degree[/tex]

Conclusion :

Answer:

Step-by-step explanation:

Perimeter

Area

Answer:

on the graph all u have to do is draw the line Have a great day and i hope this helps!

Step-by-step explanation:

Answer: C

Step-by-step explanation:

The graph is shifted 4 units left as seen with (x+4) so x = -4.

The graph is reflected over the x axis as seen with -a

The graph is compressed vertically because the functions a value is less than f(x) = [tex]x^2[/tex]

Answer:

D

Step-by-step explanation:

Changes observed :

The correct option is D.

The penny can land two ways. The nickel can land two ways. The dime can land two ways. The quarter can land two ways. The total number of ways that all of them can land is (2x2x2x2)= 16 possibilities. Only ONE result shows no heads . . . TAIL-TAIL- TAIL-TAIL. All of the other 15 possibilities include at least one HEAD. So the probability is 15/16 = 93.25% .

Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 15 bottles.

The probability of the three outcomes occurring is given by:

[tex]p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366[/tex]

0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

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Answer:

5

Step-by-step explanation:

Find the number in the whole number place

5

and look one place to the right for the rounding digit on the right side of the decimal point

3

.Round up if this number is greater than or equal to

5

and round down if it is less than

5

.

Answer:

Below in bold.

Step-by-step explanation:

The mean is 55 therefore, by definition:

On average the students are 55 inches tall.

The median is the middle ( or the average of 2 middle) value when the data is arranged in order.

So as the media is 46 inches about half are more than 46 ins tall.

Answer:

Graph B

Step-by-step explanation:

Remember that for a function to have an inverse, the function must be 1-to-1. The two functions must also be symmetrical about the line y=x, which is apparent in the second graph.

Answer: Can you take a more clear picture

Step-by-step explanation:

Answer:

38 and 28

Step-by-step explanation:

let the 2 numbers be a and b

(a - b)= 10.................................................1

1/6(a + b) = 11

hence (a + b) = 66...................................2

adding 1 and 2

a -b + a + b = 10 + 66

2a=76

a = 38

b=28

Using the relation between velocity, distance and time, it is found that the commute took 48 minutes.

Velocity is distance divided by time, that is:

[tex]v = \frac{d}{t}[/tex]

For Lena, we have that d = 29, v = 36, hence the time in hours is given by:

[tex]t = \frac{d}{v} = \frac{29}{36} = 0.8056[/tex]

In minutes, the time is given by:

tM = 0.8056 x 60 = 48.

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15

The segment addition postulate states that if AC is a line with point B, then AB + CD must equal AC.

Setting Up the Equation

Using the postulate above we can set up an equation that is set equal to BD.

Now, rewrite this using the information we are given in the question.

Solving For BC

Now, we can solve this equation using the properties of equality.

To solve you need to isolate BC. Do this by subtracting 2 from both sides.

This gives us the answer, 15.

Answer:

8

Step-by-step explanation:

Re-write the equation:

h(x) = x² * 2 - x² -7x

If X is equal to -8, then we can re-write the equation as:
h(-8) = (-8)² * 2 - (-8)² - 7(-8)

Following P.E.M.D.A.S. we must first solve for the exponents:

h(-8) = (64) * 2 - (64) - 7(-8)

Then we need to solve the multiplication.

h(-8) = (128) - (64) - (-56)

Now, we solve for the addition/subraction.

h(-8) = (128) - (120)

Lastly...

128 - 120 = 8

This means that if h(-8), then H = 8

I think?