Solve the exponential equation by taking the logarithm on both sides. 5^(x+8)=7

Wallis company manufactures only one product and uses a standard cost system. the company uses a predetermined plantwide overhead rate that relies on direct labor-hours as the allocation base. all of the company's manufacturing overhead costs are fixed—it does not incur any variable manufacturing overhead costs. the predetermined overhead rate is based on a cost formula that estimated $2,886,000 of fixed manufacturing overhead for an estimated allocation base of 288,600 direct labor-hours. wallis does not maintain any beginning or ending work in process inventory.

Slow ride corp. is evaluating a project with the following cash flows: year cash flow 0 –$12,000 1 5,800 2 6,500 3 6,200 4 5,100 5 –4,300 the company uses a 11 percent discount rate and an 8 percent reinvestment rate on all of its projects. calculate the mirr of the project using all three methods using these interest rates.

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.