2-5x-4+8
A: -5
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Answer:
total amount donated when aaron walks n miles = $2 + $3(n-1)
Step-by-step explanation:
Aaron participates in a walkathon for charity. He has a sponsor who has pledged a base donation of $2 for the first mile he walks and then a certain dollar amount for each additional mile he walks. Based on this pledge, if Aaron walks 8 miles, the sponsor will donate a total of $23 to the charity.
Write a formula that can be used to determine the amount of money this sponsor donates when Aaron walks n miles.
total amount sponsor pays = base donations + (additional miles walked after first mile x amount paid)
when Aaron walks 8 miles
additional miles = 8 - 1 = 7
23 = 2 + 7x
23 - 2 = 7x
x = 3
additional amount paid is $3
total amount donated when aaron walks n miles = $2 + $3(n-1)
Answer:
1. Statement: <2 and <5 are supplementary. Reason: Given
2. Reason: Vertical
3. Reason: Consecutive interior angles
4. Statement L is parallel to m. Reason: transversal makes equal angles
Have a good day!
C.√93
A=17
B=14
...........................
Answer: it will take 14 years
Step-by-step explanation:
A savings account is started with an initial deposit of $600. This means that the principal P is
P = 600
It was compounded annually. This means that it was compounded once in a year. Therefore,
n = 1
The rate at which the principal was compounded is 2.1%. So
r = 2.1/100 = 0.021
The duration of time that for which the money stayed in the account is t years. So
Time = t
The formula for compound interest is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years. Therefore,
a) the equation to represent the amount of money in the account as a function of time in years would be
A = 600 (1+0.021/1)^1×t
A = 600 (1.021)^t
b) the amount of time it takes for the account balance to reach $800 would be
800 = 600 (1.021)^t
Dividing both sides of the equation by 600, it becomes
1.33 = (1.021)^t
t = 14
