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When someone is paying off a loan with initial amount A and monthly payment M at an interest rate of p percent, the total amount T(n) of the loan after n months is computed by adding p/12 percent to the amount due after n-1 months and then subtracting the monthly payment M. Convert this description into a recurrence for the amount owed after n months.
A Norman window consists of a rectangle surmounted by a semicircle. The window has rectangular portion of the window has width 4" and height 6". (a) Find the area of the window. (b) How much wood trim is needed to boarder the window?
The product of two consecutive positive odd integers is 143. Find the pair of integers that satisfies this condition.
Use a wire of length x to bend into a shape of rectangle, a square, and a circle. Which shape has the largest area? *show which is largest* write functions
MATH 54 QUIZ 4. Let V = {(a1, a2, . . .) : ai ∈ R} be the vector space of infinite sequences of real numbers. The right shift operator is a linear transformation T : V → V defined by T((a1, a2, . . .)) = (0, a1, a2, . . .). Find the kernel and rang..
xux-yx3 ybx-y.a. locate any local bifurcations that occur as u and b are varied. analyze the bifurcations fully. to do
Locate the point of dimishing returns for TS(x) and interpret its meaning.
Write, as a set of ordered pairs, a function f that is a bijection from V1 to V2, satisfying the following condition: if x and y are elements in V1 such that {x,y} is in E1, then f(x) and f(y) are elements in V2 such that {f(x),f(y)} is in E2, and..
How many times louder is a 60dB sound than a 20dB sound? How many times more energy is released by a magnitude 6 earthquake than by a magnitude 2 earthquake
That is, the next 10 feet will cost $125, the next 10 feet will cost $150, etc. How much will it cost to build a 90-foot tower?
Pool tables are rectangular, and their length is twice the width. Find the dimensions of a pool table if it occupies 18 ft2 of floor space.
what is the maximum revenue?
Use the MVT to prove that | sin a - sin b|
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