Derek plans to retire on his 65th birthday. however, he plans to work part-time until he turns 75.00. during these years of part-time work, he will neither make deposits to nor take withdrawals from his retirement account. exactly one year after the day he turns 75.0 when he fully retires, he will begin to make annual withdrawals of $129,100.00 from his retirement account until he turns 94.00. after this final withdrawal, he wants $1.85 million remaining in his account. he he will make contributions to his retirement account from his 26th birthday to his 65th birthday. to reach his goal, what must the contributions be? assume a 8.00% interest rate.

“wonderful! not only did our salespeople do a good job in meeting the sales budget this year, but our production people did a good job in controlling costs as well,” said kim clark, president of martell company. “our $11,150 overall manufacturing cost variance is only 3% of the $1,536,000 standard cost of products made during the year. that’s well within the 3% parameter set by management for acceptable variances. it looks like everyone will be in line for a bonus this year.” the company produces and sells a single product. the standard cost card for the product follows: standard cost card—per unit direct materials, 4.00 feet at $4.00 per foot $ 16.00 direct labor, 1.1 direct labor-hours at $13 per direct labor-hour 14.30 variable overhead, 1.1 direct labor-hours at $2.40 per direct labor-hour 2.64 fixed overhead, 1.1 direct labor-hours at $6.50 per direct labor-hour 7.15 standard cost per unit $ 40.09the following additional information is available for the year just completed: a. the company manufactured 20,000 units of product during the year.b. a total of 77,000 feet of material was purchased during the year at a cost of $4.25 per foot. all of this material was used to manufacture the 20,000 units. there were no beginning or ending inventories for the year.c. the company worked 24,000 direct labor-hours during the year at a direct labor cost of $12.50 per hour.d. overhead is applied to products on the basis of standard direct labor-hours. data relating to manufacturing overhead costs follow: denominator activity level (direct labor-hours) 19,000 budgeted fixed overhead costs $ 123,500 actual variable overhead costs incurred $ 64,800 actual fixed overhead costs incurred $ 120,900required: 1. compute the materials price and quantity variances for the year. (round standard price and actual price to 2 decimal places. indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero 2. compute the labor rate and efficiency variances for the year. (round standard rate and actual rate to 2 decimal places. indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero 3. for manufacturing overhead compute: a. the variable overhead rate and efficiency variances for the year. (round standard rate and actual rate to 2 decimal places. indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero b. the fixed overhead budget and volume variances for the year. (indicate the effect of each variance by selecting "f" for favorable, "u" for unfavorable, and "none" for no effect (i.e., zero

You are head of the schwartz family endowment for the arts. you have decided to fund an arts school in the san francisco bay area in perpetuity. every 5 years, you will give the school $ 1 comma 000 comma 000. the first payment will occur 5 years from today. if the interest rate is 5.9 % per year, what is the present value of your gift?

Suppose that the free states of eldricia, a small nation, has consumption, investment, government purchases, imports, and exports as follows. consumption $140 investment $50 government purchases $45 imports $30 exports $15 calculate the free states of eldricia's gdp