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Korvikt [17]
3 years ago
6

The average movie ticket price in dollars since 1980 can be modeled by 0.142x + 1.93 where x is the number of years since 1980.

What values of x would you use to find the average movie ticket price in 1985, 1999, and 2010? Find the ticket prices for each of those years rounded to the nearest cent. Submit your x-values, ticket prices, and all solution steps to earn full credit.
Mathematics
1 answer:
ipn [44]3 years ago
4 0

Answer:

Step-by-step explanation:

1985:

x = 5 years  ( 1980 to 1985- 5 years)

0.142x + 1.93 = 0.142*5 + 1.93

                     = 0.71 + 1.93

                     = $ 2.64

                     

1999:

x = 19 years

0.142x + 1.93 = 0.142*19+ 1.93

                     = 2.698 + 1.93

                     =4.628 =  $ 4.63

                     

2010:

x = 30 years

0.142x + 1.93 = 0.142*30 + 1.93

                     =  4.26 + 1.93

                     = $ 6.19

                   

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Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is current
exis [7]

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

6 0
2 years ago
a student says that if 5x^2 = 20, then x must be equal to 2. do u agre or disagree with the student? justify your answer.​
inna [77]

Answer:

The student is correct.

Step-by-step explanation:

Given that 5x² = 20:

It is true that the value of x = 2 because 2² = 4, and when you multiply 4 with 5, you'll get a product of 20:

5x² = 20

5(2)² = 20

5(4) = 20

20 = 20

Therefore, the student is correct that x = 2.

7 0
2 years ago
What is the slope of the line that passes through
den301095 [7]

Answer:

what does it pass through

7 0
3 years ago
A train slows down as it rounds a sharp horizontal turn, going from 92.0 km/h to 54.0 km/h in the 16.0 s that it takes to round
Mnenie [13.5K]

Calculation of centripetal acceleration(ac):

a_c=\frac{v^2}{r}

we can change our speed in terms of m/s

v=54km/h=54*\frac{1000}{3600} m/s

now, we can plug these values

a_c=\frac{(54*\frac{1000}{3600})^2}{130}

a_c=1.73077m/s^2

Calculation of tangential acceleration(at):

a_t=\frac{\Delta v}{\Delta t}

now, we can plug values

a_t=\frac{(54-92)*\frac{1000}{3600} }{16}

now, we can simplify it

a_t=-0.65972 m/s^2

Calculation of resultant acceleration:

a=\sqrt{(a_c)^2+(a_t)^2}

now, we can plug values

a=\sqrt{(1.73077)^2+(-0.65972)^2}

a=1.85224m/s^2.............Answer

4 0
3 years ago
Mr. larsenʹs third grade class has 22 students, 12 girls and 10 boys. two students must be selected at random to be in the sprin
Lelu [443]
P(1\ boy+1\ girl)=\frac{12C1\times10C1}{22C2}=0.5195
The answer is 0.5195
6 0
3 years ago
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