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y = 20500 + 24090(x - 1) can be used to find the tuition y for x years after 2000. The tuition at this college in 2020 was $5,02,300.

We assume that the rate of increase in the cost of tuition fee per year is linear and hence the tuition fees of subsequent years will be in an Arithmetic Progression. The formula for determining the nth term of an arithmetic sequence which is expressed as-

Tn = a + (n - 1)d

Where

a = first term of the sequence.

d = common difference.

n = number of terms in the sequence.

According to the question,

a = $20500 (amount in 2000)

From 2000 to 2018, the number of terms is 19, hence,

n = 19

Thus, T19 = 454120

Therefore,

4,54,120 = 20500 + (19 - 1)d

454120 - 20500 = 18d

18d = 433620

d = 433620/18

d = 24,090

Therefore, the equation that can be used to find the tuition y for x years after 2000, is as follows-

y = 20500 + 24090(x - 1)

Now, the number of terms between 2000 and 2020 is 21, hence

x = 21

y = 20500 + 24090(21 - 1)

y = 20500 + 481800

y = $502300

Therefore, the tuition at this college in 2020 was $5,02,300.

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Answers to both the subparts are:

So, there will be 22 children at the party and each table will have 1 child sitting on each side.

(A) Ms Francis would have to rent 6 tables in order for everyone to have their own side.

Then,

4 × 6 = 24

(B) She could have all of the children sitting at their tables, each with their own side, but the sixth table would only have two other children.

Therefore, the answers to both the subparts are:

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Step-by-step explanation:

15×3×3=135

hope it helps you

Answer:

d=23in

circumference= πd

= 23×3.14

=72.22 probably

Answer:

c=12.57

Step-by-step explanation:

beacuse of the radius

Answer:

Yes

Step-by-step explanation:

29 times 3 is 87

Hope It Helps

Sorry If I'm Wrong

Answer:

Step-by-step explanation:

i 1=i i+i = 1 paulit ulit lg pag dalawa ung term i po sagot jan

Answer:

because the gravitational streanghts is much weaker on the moon

The length of the arcs are as follows

Given data

<BAC = 90 degrees

<BEA = 70 degrees

<DEA = 180 degrees

BE = radius = 5 cm

top

Length of arc = ( ∅ / 360 ) * 2 * pi * r

1. length of arc AB

L =  ( ∅ / 360 ) * 2 * pi * r

L = ( 70 / 360 ) * 2 * pi * 5

L = 1.94 pi cm

2. length of arc CD

L =  ( ∅ / 360 ) * 2 * pi * r

∅ = 180 - 90 - 70 = 20

L =  ( 20 / 360 ) * 2 * pi * 5

L = 0.55 pi cm

3. length of arc CB

L =  ( ∅ / 360 ) * 2 * pi * r

L = ( 90 / 360 ) * 2 * pi * 5

L = 2.50 pi cm

4. length of arc CAD

∅ = 90 + 70 + 20 = 180

L =  ( ∅ / 360 ) * 2 * pi * r

L = ( 180 / 360 ) * 2 * pi * 5

L = 5.0 pi cm

5. length of arc BCA

∅ = 90 + 70 =

L =  ( ∅ / 360 ) * 2 * pi * r

L = ( 160 / 360 ) * 2 * pi * 5

L = 4.44 pi cm

6. length of arc DA

∅ = 180

L =  ( ∅ / 360 ) * 2 * pi * r

L = ( 180 / 360 ) * 2 * pi * 5

L = 5.0 pi cm

Bottom

7. length of arc from off to volume 7

∅ = 110

r = 8

L =  ( ∅ / 360 ) * 2 * pi * r

L = ( 110 / 360 ) * 2 * pi * 8

L = 4.88 pi cm

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Answer:

(2,5)

Step-by-step explanation:

i don't know how i did the solvings so sorry but if it is not correct please let me know

Answer:x=0,6,−3

Step-by-step explanation:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero

Answer: One fraction: 5/4. Mixed Number:

Step-by-step explanation: One fraction: you need to count the number of green squares on the top, and on the bottom you need to count how many are you each square.

If a box turtle Marcos found is 0.115m long, then the length in expanded form is (0.1 + 0.01 + 0.005).

As per the question statement, a box turtle Marcos found is 0.115m long.

We are required to find out the expanded form of the length.

To solve this question, we need to know the procedure to convert a decimal into a fraction:

First, we will have to eliminate the decimal point and then, consider the digits in the same order as a complete number which will be our numerator. Secondly, we will use (10ⁿ) as our denominator where "n" is the number of digits on the right side of the decimal point in the original decimal number. Thus, 0.115 can be written as [tex]\frac{115}{1000}[/tex], since there are three digits after decimal point.

Now [tex]\frac{115}{1000}[/tex] can be written in the following manner as shown below.

[tex]\frac{115}{1000}=\frac{100+10+5}{1000}\\ or, \frac{115}{1000}=\frac{100}{1000}+\frac{10}{1000}+\frac{5}{1000}\\ or, \frac{115}{1000}=\frac{1}{10}+\frac{1}{100}+\frac{5}{1000}\\ or, \frac{115}{1000}=0.1+0.01+0.005[/tex]

Therefore, 0.115 can be written as (0.1 + 0.01 + 0.005) in its expanded form.

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the graph of the equation y = 2 x - 2 is being obtained.

We are given the equation:

y = 2 x - 2

We need to make the graph of the equation.

We will first find some points on this equation:

x              y

0             -2

1               0

2              2

3              4

4              6

5              8

Now, we will plot these points on the graph and join them with a dark line to obtain the graph of the equation y = 2 x - 2.

Therefore, the graph of the equation y = 2 x - 2 is being obtained.

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Answer:

26

Step-by-step explanation:

add all the numbers up 24+27+31+21+27=130

divide 130/5=26

Answer:

26

Step-by-step explanation:

Means is the same as finding the average in a data set. You add up all of the values and then divide that by the number of terms you have in the data set.

24 + 27 + 31 + 21 + 27 = 130

130 ÷ 5 = 26

The value of the total amount of rubber stripping, in feet, needed for the rectangular tanks is 64x + 70.

It should be noted that the perimeter of a rectangle is given as:

= 2(Length + Width)

= 2(25x + 12) + 2(7x + 18)

= 50x + 24 + 14x + 46

= 64x + 70

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Answer:

72

Step-by-step explanation:

Answer:

y=0

Step-by-step explanation:

The y-axis(x=0) and x-axis(y=0) are perpendicular.

Answer:

"g - (7 • 8)" is correct. :)

Assuming that a can of soup which has 60% water is mixed with two cans of water, the percentage mixture that is water is 87%.

Assuming the total quantity of a can is 100 ml, the quantity of water in the can of soup would be:

= 60% x 100

= 60 ml

If two more cans of water are added, the total amount of water is:

= 60 + 100 + 100

= 260 ml

The percentage of water is:

= 260 / (100 + 100 + 100)

= 87%

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The number of zeros in the product of 7 and 5,000 is 3.

The place value is defined as the value of each digit in a given number.

Here, we are given that 7 is multiplied by 5000

We can see that in 5000, the hundreds, tens and units digits are all zero.

Also, we know that 0 multiplied by any number gives us a zero only.

Thus, when we multiply 5000 and 7, each digit of 5000 will be multiplied by 7.

We can thus see that there will definitely be at least 3 zeroes in their product.

when we 7 is multiplied by 5, the unit digit will not be 0 as 7 is an odd number.

Thus, there are 3 zeroes in the product of 7 and 5000.

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Answer: x=-3

Step-by-step explanation: Linear function of -3. This is because you subtract by 3 from f to g each time.

The length of the base of the triangle is 1 1/5 inches

The area of a shape is the amount of space on the shape

The given parameters are

Area = 3/4 square inches

Height = 1 1/4 inches

The length of the base of the triangle is calculated as

Base = 2 * Area/Height

Substitute the known values in the above equation

This gives

Base = 2 * (3/4)/(1 1/4)

Evaluate

Base = 1 1/5

Hence, the length of the base of the triangle is 1 1/5 inches

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Answer:

11/7 is the answer

to your question

Answer:

the answer would be 100

Step-by-step explanation:

500÷5= 100

Answer:  100

Step-by-step explanation:

[tex]50 divided 500=100[/tex]

Answer: 24

Step-by-step explanation: LCM(8, 12) = 24

12 x 2 = 24

8 x 3 = 24

Answer:

Step-by-step explanation:

(u + 6)² =

u² + 36 + 12u

Answer:

[tex]u^2+12u+36[/tex]

Step-by-step explanation:

[tex]\begin{aligned}& \textsf{Given}: & & (u+6)^2 \\\\& \textsf{Expand the square}: & & (u+6)(u+6)\\\\& \textsf{Distribute}: & & u(u+6)+6(u+6)\\\\& \textsf{Distribute}: & & u^2+6u+6u+36\\\\& \textsf{Combine like terms}: \quad & &u^2+12u+36\end{aligned}[/tex]

Answer:

-3x+6y+5

Step-by-step explanation:

The equation- -2x-y+10-x+7y-5

Next, combine all the x, y, and real numbers.

X's: (-2x)+(-x)= -3x

Y's: (-y)+(7y)=6y

Real Numbers: (10)+(-5)=5

insert back into an equation

-3x+6y+5

:-) hope this helps