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The Employee's Union charges 10% interest for short-term loansIf I borrow P20,000 and must pay an amount of P2,000 monthly, what is the length of my loan?


Suppose the pdf of the magnitude of X of a dynamic load on a bridge is given by ��={ 1 8(1+3�,0≤�ɤ2 0, �ѡℎ�џ�і�ђ i) Determine �0.5≤�ɤ1.5) ii) Obtain the cumulative density function of X

The amount of time required at a company’s customer care desk has been found to be approximately normally distributed with mean of 3 minutes and a variance of 2500 square seconds. What is the probability that a randomly selected customer will: (i) Spend more than 6 minutes. (ii) Spend between 1 minute and 4 minutes.

10 of the 6 years old kids were selected from a school and the height of each individual were shown as in the table




Individual Height (cm)



A 120.6



B 116.4



C 117.2



D 118.1



E 114.1



G 116.9



H 113.3



I 121.1



J 116.9



K 117.0




According to the national statistics report, the average height of 6 years old kids in the country is 120.0 cm. What is the T score of this sample?

Find the limit of 2x(x-2)/x-2 as x is 2

solve the recurrence relation Pn = Pn-1 + n with initial condition P1 = 2 using interation.

Use a predicates and quantifiers to express this statement. There is a man who has visited some park in every state of malaysia


𝒀 = 𝑪 + 𝑰𝟎 + 𝑮𝟎

𝑪 = 𝑪𝟎 + 𝒃𝒀𝒅

𝑻 = 𝑻𝟎 + 𝒕𝒀

Determine and comment on the effect of changes in 𝑮𝟎 on 𝒀*, 𝑪*, and 𝑻*.


dx/dt=x-4y



dy/dt=x+y


Find the equations of the tangent and normal to each of the following conics, the lengths of the subtangent and subnormal, then trace the curve showing these lines.


y = x2 – 6x + 4 at (4, -4).


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