All categories

3 years ago

17. MODELING WITH MATHEMATICS The data

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

6 0

Answer:

Average annual tuition is $16991 for the year 2020.

Step-by-step explanation:

By using excel for the equation of the line of best fit,

Slope of the line from given data = 380.0286

y - intercept of the line = 11290.1

Therefore, equation of the regression line will be,

y = 380.0286x + 11290.1

Where x = number of years after 2005

Now we have to calculate the average annual tuition in the year 2020,

By substituting the value of x = 2020 - 2005

= 15 years

y = 380.0286×(15) + 11290.1

y = 16990.529

≈ 16991

Therefore, average annual tuition is $16991 for the year 2020.

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How much must be deposited today into the following account in order to have $35,000 in 7 years for a down payment on a house?

Rom4ik [11]

Answer:

The amount that must be deposited is $ 19973.87.

Step-by-step explanation:

We have a relation between future value present value as:

F= P $(1 +\frac{r}{n} )^{nt}$

F=future value

P=present value

r=rate (as a decimal)

n=number of compounding periods per year

t=number of years

Now,

assume rate as 8%

35000= P $(1+\frac{0.08}{12} )^{12*7}$

or, 35000= P × $1.0067^{84}$

or, P = $\frac{35000}{1.7522}$

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3 years ago

Y=-3x + 6

slamgirl [31]

Answer:

(-1, 9) (he x value is placed first).

Step-by-step explanation:

y = -3x + 6

y = 9

Substitute y = 9 into the first equation:

9 = -3(x) + 6

-3x = 9 - 6

-3x = 3

x = -1.

5 0

3 years ago

Helppppp pleaseeee!!!!!!

maks197457 [2]

I got 3.825

your equation would be
(2x-1)(x+7)=72

when you distribute youd get
2x^2 +13x -7 =72

move the 72 over giving you
2x^2 +13x -79=0

i used the quadratic formula and the answer would be 3.825 because a negative answer wouldn’t make sense in this situation

5 0

2 years ago

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the n

strojnjashka [21]

Answer:

42.1

Explanation step-by-step:

Working out the lenght of the blue-dashed line:

SOH

47 is the Hypotenuse.

the blue line is the adjacent.

adjacent= Cos(30) x47

adjacent= 40.7

Working out x :

40.7 is the opposite this time.

x is the adjacent.

x = 40.7/ Tan(44)

x = 42.1

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3 years ago

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Mashcka [7]

Answer:

Step-by-step explanation:

The Letter B

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3 years ago