The astronomy club wants to buy five different eyepieces for a new telescope. the 6-, 12-, and 20-millimeter lenses cost $42.95 each, and the 32- and 40-millimeter lenses cost $57.96 each. estimate the total cost of the lenses to the nearest whole dollar.

$317.66

Step-by-step explanation:

The Total cost of the lenses will be 3 times $42.95 and 2 times $57.96

That is

Cost = 3*42.95+2*57.96

        =128.85 +115.92

        = 244.77

hence cost of all the lenses will be $244.77

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step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: