Solve.Jake bought a truck by taking out a loan for  at  interest per month. Jake's regular monthly payment is , but he decides to pay an extra  toward the balance each month. His balance each month, after making his payment, is given by the recursively defined sequence B0 = $26,500  Bn = 1.0025Bn-1- 642 Determine Jake's balance

after making the first payment. That is, determine B1.

Fill in the blank(s) with the appropriate word(s).


$25,924.25

Mathematics

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Solve the problem.At a plant that packages bottled spring water, the water is passed through a sequence of ion-exchange filters to reduce the sodium content prior to bottling. Each filter removes 73% of the sodium present in the water passing through it. Determine the number of filters that must be used to reduce the sodium concentration from 21 parts-per-million to 1.69 parts-per-million.

A. 10 filters B. 11 filters C. 8 filters D. 9 filters

Mathematics

In an adiabatic process (one in which no heat transfer takes place), the pressure P and volume V of an ideal gas such as oxygen satisfy the equation where C is a constant. Suppose that at a certain instant of time, the volume of the gas is 2L, the pressure is 100 kPa, and the pressure is decreasing at the rate of 5 kPa/sec. Find the rate at which the volume is changing.

a. 14 L/sec
b. C–14 L/sec
c. C–
d.

Mathematics

The graph of the first derivative (x) of a function f is shown below. At what values of x does f have a local maximum or minimum?

Mathematics

Find the constant of variation and construct the function that is expressed in each statement.y varies inversely as x: y = 6.75, when x = 0.16

A. = 42.19x
B. = 
C. = 
D. = 

Mathematics