Answer:
Its 61
Step-by-step explanation:
We have the following:
therefore, the answer is 3.35 x 10^6
200,000 = 158,000(1.06)^x
Divide both sides by 158,000
1.2658 = 1.06^x
Take the log of both sides and use the power rule to bring down the exponent (x) to the front.
log 1.2658 = x log 1.06
Divide both sides by log 1.06
log (1.2658)/log(1.06) = x
x = 4 years
CHECK
y = 158,000(1.06)^4
y = 199,471.36
Answer:
Step-by-step explanation:
18.4 + 8w = 6(-4.6 + 9w)
18.4 + 8w = (-4.6 * 6 + 9w * 6)
18.4 + 8w = (-27.6 + 54w)
18.4 + 8w + -54w = -27.6 + 54w + -54w
18.4 + -46w = -27.6 + 54w + -54w
18.4 + -18.4 + -46w = -27.6 + -18.4
Combine like terms: 18.4 + -18.4 = 0.0
0.0 + -46w = -27.6 + -18.4
-46w = -27.6 + -18.4
-27.6 + -18.4 = -46
-46w = -46
w = 1
Simplifying
w = 1
Answer:
y = 3x² - 42x + 144
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (7, - 3), thus
y = a(x - 7)² - 3
To find a substitute (9, 9) into the equation
9 = 4a - 3 ( add 3 to both sides )
12 = 4a ( divide both sides by 4 )
a = 3
y = 3(x - 7)² - 3 ← in vertex form
Expand factor and simplify
y = 3(x² - 14x + 49) - 3
= 3x² - 42x + 147 - 3
= 3x² - 42x + 144 ← in standard form
