Answer:
$86.50
Step-by-step explanation:
Let b represent the bill before tax and tip. Then the total is ...
b + 0.05b + 0.15b = 103.80
b(1.20) = 103.80 . . . . . . . . . . collect terms
b = 103.80/1.20 = 86.50 . . . divide by the coefficient of b
The bill before tax and tip was $86.50.
Answer:
-4
Step-by-step explanation:
This looks like point-slope form, which I find personally hideous. Let's change it to slope-intercept form to ease my conscience. (remember that slope-intercept form is y=mx+b, where m=slope and b=y-intercept!)
y - 5 = -4(x-8)
y - 5 = -4x + 32
y = -4x + 37
It's in slope-intercept form now! And -4 looks to be our m.
<u>So the slope is -4.</u>
Answer:
(b) $6,769
Step-by-step explanation:
The value in the account can be found by using the compound interest formula:
A = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual rate, n is the number of times per year interest is compounded, and t is the number of years.
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<h3>apply formula</h3>
Using the given values in the formula, we have ...
P = 5600, r = 0.019, n = 4, t = 10
A = 5600(1 +0.019/4)^(4·10) = 5600×1.00475^40 ≈ 6768.752
The amount in the account at the end of 10 years was about $6,769.
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<em>Additional comment</em>
Any number of spreadsheets, calculators, or apps can find the future value (FV) for you. The attachment shows the use of a TI-84 calculator work-alike.