Answer:
d
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
f(x) - g(x)
= x³ - 2x + 6 - (2x³ + 3x² - 4x + 2) ← distribute parenthesis by - 1
= x³ - 2x + 6 - 2x³ - 3x² + 4x - 2 ← collect like terms
= - x³ - 3x² + 2x + 4 → d
Answer:
Ratio, Decimal or Fraction
Step-by-step explanation:
Answer:
- (x, T) = (x, D) = (1000, 85)
- each booth pays $85 in fees on rental and sales of $1000
Step-by-step explanation:
A. <u>Given</u>
T = 0.05x +35 . . . . Terri's cost of operating a craft booth
D = 0.03x +55 . . . . Donna's cost of operating a craft boot
T = D
where x is the dollar amount of sales.
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B. <u>Solution</u>
Subtracting the equation for D from that of T, we get ...
T - D = 0
(0.05x +35) -(0.03x +55) = 0 = 0.02x -20
0 = x -1000 . . . . . divide by 0.02
x = 1000
T = D = 0.05(1000) +35 = 85
(x, T) = (x, D) = (1000, 85)
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C. <u>Meaning</u>
According to the given definitions of the variables, each booth pays a total of $85 in fees for sales of $1000.
Answer:
$2000
Step-by-step explanation:
The value of the savings account is
v(m) = 2000(1.005)^m
where m is the number of months.
Compare with the formula for compound interest,
F = P(1 + r)^(nt)
where P = principal amount invested.
Answer: $2000
