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The value of a car when new is R224 000,00. It is estimated that the value of the car will decrease at the
rate of 11% per year. Answer the following questions:
a. Determine the exponential function that describes the value of the car y years after it was bought.
b. Determine the value of the car six years after it was bought.
Find a counterexample, if possible, to these universally quantified statements, where the domain
for all variables consists of all integers.
a) ∀x (x2 ≥x)
b)∀x(x>0∨x<0) c) ∀x (x = 1)
In a medical study, patients are classified in 8 ways according to whether they have
blood type AB+, AB−, A+, A−, B+, B− , O+, or O−, and also according to whether their
blood pressure is low, normal, or high. Find the number of ways in which a patient can
be classified.
8) Write the first four terms of a Maclaurin series for 𝑓(𝑥)=𝑒𝑥?
Is 3Fn-Fn-2=Fn+2for n >3n are valid?
Under certain conditions, orange is converted into juice at a rate, which is proportional to the
amount unconverted at any time. If out of 70 grams of juice at t = 0, 6 grams are converted
during the first 3 minutes, find the amount converted in 1.5 hours.
Find the value of σ x̅. Use the choices on no. 4 problem. Use this data: Consider the score examples illustrated, in which random samples of size 16 are obtained from N (25,9)
use pascals triangle to expand the binomical expression (1+2x)^3?
Two of the five (5) foreign automobiles from an overseas shipment have slight paint blemishes. If an
agency receives three (3) of these automobiles at random, list the elements of the sample space 𝑆 using
the letters B and N for “blemished” and “non-blemished”, respectively. For each sample point, assign a
value 𝑥 of the random variable 𝑋 representing the number of automobiles purchased by the agency with
paint blemishes. Hint: There are eight (8) elements in the sample space.
What is the value of σ2 x̅? Use this data: Consider the score examples illustrated, in which random samples of size 16 are obtained from N (25,9)
