On a vacation trip to Canada you realize that the speed limit signs are in km/hour. Unfortunately, your speedometer only reads i
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Answer:
88
Step-by-step explanation:
Write the expression for the sum in the relation you want.
Sn = u1(r^n -1)/(r -1) = 2.1(1.06^n -1)/(1.06 -1)
Sn = (2.1/0.06)(1.06^n -1) = 35(1.06^n -1)
The relation we want is ...
Sn > 5543
35(1.06^n -1) > 5543 . . . . substitute for Sn
1.06^n -1 > 5543/35 . . . . divide by 35
1.06^n > 5578/35 . . . . . . add 1
n·log(1.06) > log(5578/35) . . . take the log
n > 87.03 . . . . . . . . . . . . . . divide by the coefficient of n
The least value of n such that Sn > 5543 is 88.
Answer:
813.4 cm² (nearest tenth)
Step-by-step explanation:
<u>Volume of a cylinder</u>
Given:
- h = 18cm
- V = 1715 cm³
Use the Volume of a Cylinder formula and the given values to find the <u>radius of the cylinder</u>:
<u>Surface Area of a Cylinder</u>
Substitute the given value of h and the found value of r into the formula and solve for SA:
Therefore, the surface area of the cylinder is 813.4 cm² (nearest tenth)