Answer:
(a) A = 700×1.015^t
(b) 36.2 years
Step-by-step explanation:
(a) Each year, the account value is multiplied by (1 + 1.5%) = 1.015. Repeated multiplication is signified using an exponent. In t years, when the account has been multiplied by 1.015 t times, the account value will be ...
A = $700×1.015^t
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(b) You want to find t when A=$1200. Logarithms are involved.
1200 = 700×1.015^t . . . . use 1200 for A
1200/700 = 1.015^t . . . . . divide by 700
log(12/7) = t×log(1.015) . . . . . take logarithms
log(12/7)/log(1.015) = t ≈ 36.2 . . . . divide by the coefficient of t
It will take about 36.2 years for the account balance to reach $1200.
Step-by-step explanation:
1. 21√n/2
2. 2/3 3√x
(3) - 5/2b 7/2
4. (10m) 6/5
The correct answer is $216 because when 7 tickets cost $126 each ticket was $18. I know this because 126/7 is 18. Now to find out how much 12 tickets cost you multiply 18x12 to get 216.
Answer:
see explanation
Step-by-step explanation:
Since the marked angles are congruent, let them be x
(6)
The sum of the interior angles of a quadrilateral = 360°
Sum the angles and equate to 360
x + x + 120 + 90 = 360
2x + 210 = 360 ( subtract 210 from both sides )
2x = 150 ( divide both sides by 2 )
x = 75
Then ∠ X = ∠ Y = 75°
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(7)
The sum of the interior angles of a hexagon = 720°
Sum the angles and equate to 720
x + x + 108 + 103 + 149 + 90 = 720
2x + 450 = 720 ( subtract 450 from both sides )
2x = 270 ( divide both sides by 2 )
x = 135
Then ∠ X = ∠ Y = 135°
