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Sonja [21]
3 years ago
12

Heather and her family are going to the grand opening of a new amusement park. There is a special price on tickets this weekend.

Tickets cost $42 each. This is 70% of the cost of a regular price ticket. What is the cost of a regular price ticket? Please explain! thanks!
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
4 0
The price of a regular priced ticket is 60 dollars.
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For the following amount at the given interest rate compounded​ continuously, find​ (a) the future value after 9 ​years, (b) the
Stella [2.4K]

Answer:

(a) The future value after 9 ​years is $7142.49.

(b) The effective rate is r_E=4.759 \:{\%}.

(c) The time to reach ​$13,000 is 21.88 years.

Step-by-step explanation:

The definition of Continuous Compounding is

If a deposit of P dollars is invested at a rate of interest r compounded continuously for t years, the compound amount is

A=Pe^{rt}

(a) From the information given

P=4700

r=4.65\%=\frac{4.65}{100} =0.0465

t=9 \:years

Applying the above formula we get that

A=4700e^{0.0465\cdot 9}\\A=7142.49

The future value after 9 ​years is $7142.49.

(b) The effective rate is given by

r_E=e^r-1

Therefore,

r_E=e^{0.0465}-1=0.04759\\r_E=4.759 \:{\%}

(c) To find the time to reach ​$13,000, we must solve the equation

13000=4700e^{0.0465\cdot t}

4700e^{0.0465t}=13000\\\\\frac{4700e^{0.0465t}}{4700}=\frac{13000}{4700}\\\\e^{0.0465t}=\frac{130}{47}\\\\\ln \left(e^{0.0465t}\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t\ln \left(e\right)=\ln \left(\frac{130}{47}\right)\\\\0.0465t=\ln \left(\frac{130}{47}\right)\\\\t=\frac{\ln \left(\frac{130}{47}\right)}{0.0465}\approx21.88

3 0
3 years ago
Help l will give brainlist to you
ratelena [41]
You have to do 91/13 which is 7 which means that each hen lays 7 eggs per week so the unit rate is 7
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3 years ago
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Determine a series of transformations that would map Figure E onto Figure F.
Margaret [11]

Answer:

Step-by-step explanation:

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3 years ago
What is the solution to -3/4x
zubka84 [21]

Answer:

3x/4

Step-by-step explanation:

that's what I found. It would be better if u had more details in your question.

5 0
3 years ago
What is the y-intercept for the graph of 7x – 3y = –5?
AysviL [449]
2 ways to find the y int.

(1) put the equation in y = mx + b form and the y int will be in the b position
7x - 3y = -5
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y = 7/3x + 5/3....so 5/3 is ur y int

(2) another way is to sub in 0 for x and solve for y
7(0) - 3y = -5
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y = -5/-3
y = 5/3...ur y int
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3 years ago
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