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Galina-37 [17]
3 years ago
14

How do you do this i totaly forgot.

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0

Step-by-step explanation:

7^2+8^2=113

Then square root 113 which is 10.63 to 2.d.p

So x=10.63

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The annual tuition at a specific college was $20,500 in 2000, and $45,4120
nika2105 [10]

Answer: the tuition in 2020 is $502300

Step-by-step explanation:

The annual tuition at a specific college was $20,500 in 2000, and $45,4120 in 2018. Let us assume that the rate of increase is linear. Therefore, the fees in increasing in an arithmetic progression.

The formula for determining the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

a represents the first term of the sequence.

d represents the common difference.

n represents the number of terms in the sequence.

From the information given,

a = $20500

The fee in 2018 is the 19th term of the sequence. Therefore,

T19 = $45,4120

n = 19

Therefore,

454120 = 20500 + (19 - 1) d

454120 - 20500 = 19d

18d = 433620

d = 24090

Therefore, an

equation that can be used to find the tuition y for x years after 2000 is

y = 20500 + 24090(x - 1)

Therefore, at 2020,

n = 21

y = 20500 + 24090(21 - 1)

y = 20500 + 481800

y = $502300

6 0
3 years ago
PLZ HElp!! Solve the inequality. –6 < 2x – 4 < 4
nekit [7.7K]

Answer:

- 1 < x < 4

Step-by-step explanation:

- 6 < 2x - 4 < 4 \\  - 6 + 4 < 2x < 4 + 4 \\  - 2 < 2x < 8 \\  \frac{ - 2}{2}  < x <  \frac{8}{2}  \\  \purple{ \boxed{ \bold{ - 1 < x < 4}}}

6 0
3 years ago
A garden is 4 yards 24 inches wide and 4 yards long. Write the ratio of the width to the length as a fraction in simplistic form
Lana71 [14]

Answer:

7/6

Step-by-step explanation:

The width to length ratio is ...

... width / length = (4 2/3 yards)/(4 yards) = (14/3)/4 = 14/12

... width/length = 7/6

8 0
3 years ago
Determine the intervals on which the function is increasing, decreasing, and constant
max2010maxim [7]
I believe it's increasing on all fronts, because if you start from the right, you see that the y values always increase, hence they are increasing. They do it for when x<0 and when x>0. So, it should be increasing on all real numbers
3 0
3 years ago
Read 2 more answers
In a certain region, 6% of a city’s population moves to the surrounding suburbs each year, and 4% of the suburban population mov
Charra [1.4K]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Following are the differential equation:

\to P(C,S)t+1 = P(C,S)t+(- 0.06Ct +0.04St, 0.06Ct - 0.04St ) \ \ \ \\\\or \ \ \ \ \ \ \ \\\\ \to (0.94Ct + 0.04St, 0.96St + 0.06Ct)

In equation:

\to t = 0, \ as \ 2019\\\\\to Ct = 10,000,000  \\\\\to St = 800,000,000\\

\to P(C, S)1 = (0.94Ct + 0.04St, 0.96St + 0.06Ct) \\\\

                   = (0.94(10000000) + 0.04(800000), 0.96(800000) + 0.06(10000000))\\\\ = (9,400,000 + 32,000), (768,000 +6000000))\\\\ = (9432000, 1368000)

\to P(C, S)2 = (0.94(9432000) + 0.04(1368000), 0.96(1368000) + 0.06(9432000))

                  =(8,866,080 + 54,720), (1,313,280 + 565,920)\\\\=(8,920,800, 1,879,200)

3 0
3 years ago
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