Nolan Walker decided to buy a used snowmobile since his credit union was offering such low interest rates. He borrowed $4,400 at
1 answer:
Answer:
He paid $253.09 in interest.
Step-by-step explanation:
To find how much did he pay in interest, we use the simple intrest formula, that is given by:
In which I is the value paid in interest, P is the money borrowed, r is the yearly interest rate and t is the time.
In our problem, we have that:
He borrowed $4,400, so
At 4.75% yearly. We measure the time in days, so we have to divide this value by 365. So .
From December 26, 2019 to February 21, 2021, there are 422 days, so .
He paid $253.09 in interest.
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Answer:
<h2>It must be shown that both j(k(x)) and k(j(x)) equal x</h2>Step-by-step explanation:
Given the function j(x) = 11.6 and k(x) =
, to show that both equality functions are true, all we need to show is that both j(k(x)) and k(j(x)) equal x,
For j(k(x));
j(k(x)) = j[(ln x/11.6)]
j[(ln (x/11.6)] = 11.6e^{ln (x/11.6)}
j[(ln x/11.6)] = 11.6(x/11.6) (exponential function will cancel out the natural logarithm)
j[(ln x/11.6)] = 11.6 * x/11.6
j[(ln x/11.6)] = x
Hence j[k(x)] = x
Similarly for k[j(x)];
k[j(x)] = k[11.6e^x]
k[11.6e^x] = ln (11.6e^x/11.6)
k[11.6e^x] = ln(e^x)
exponential function will cancel out the natural logarithm leaving x
k[11.6e^x] = x
Hence k[j(x)] = x
From the calculations above, it can be seen that j[k(x)] = k[j(x)] = x, this shows that the functions j(x) = 11.6 and k(x) =
are inverse functions.