Total distance walked by Tarik is 0.75 miles according to the given equation.
What is equation?
In arithmetic, an equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
Given that
The expression that represents the Tarik's distance is
=> f(x) = 3∣x−0.5∣
And also given that at 7.15 am he is some distance away from the store
Let Tarik is 'a' miles away from the store at 7.15 am
The time taken to walk 'a' miles = 7.15 - 7.00 = 15 minutes
As we know 60 minutes = 1 hr
=> 15 minutes = 15/60 = 0.25 hrs
The given expression to find the Distance is
f(x) = 3 ∣x − 0.5∣ where x is number of hours
At x = 0.25
f(0.25) = 3 |0.25 - 0.5|
= 3 |- 0.25|
= 0.75 miles
Therefore,Tarik is 0.75 miles away from the store.
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I believe the answer is $33.60?
Answer:
Step-by-step explanation:
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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
