The total cost of a sweater and a jacket was $71.55. If the price of the sweater was $3.19
1 answer:
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Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function
It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)
Answer:
$5225
Step-by-step explanation:
Use the formula for the amount after simple interest:
"A" is the final amount, or balance.
"P" is the principal, or the starting amount.
"r" is the rate of interest in decimal form.
"t" is the time.
What we know:
P = 5000
t = 3
r = 1.5%
Convert the rate to decimal form by dividing by 100, or moving the decimal place two places to the left.
1.5% => 0.015 = r
Substitute what we know into the formula:
A = P(1 + rt)
A = 5000(1 + (0.015)(3)) <=simplify
A = 5000(1 + 0.045)
A = 5000(1.045)
A = 5225 <= new balance
The new balance of an account is $5225.