Problem-1. A retiree needs $15,000 in cash for some upcoming expenses. He intends to withdraw it from his IRA, but he knows that the bank is required to withhold 18% of any withdrawal for Federal taxes. How much should he request as a withdrawal? If expressing answer in decimal, round to nearest cent.
Problem-2. A builder of a housing development wants to order several thousand boards to be used as exterior siding. He wants the boards to be 9.5” wide. The lumberyard tells him that they cut the boards while still moist, and he should allow for shrinkage of 15% in width as they dry. So he adds 15% to his width, and orders them 9.5” wide. When he gets them, he finds that almost all are less than 8” wide, and he sues the lumberyard. He loses. Why? Where did he go wrong? What should he have done?
Problem-3. The regular price for a laptop is $620, but it's on sale for $530. [round all percentages to the nearest tenth]
a) The regular price is ___ percent more than the sale price.
b) The regular price is ___ percent of the sale price.
c) The sale price is ____ percent less than the regular price. d) The sale price is ____ percent of the sale price.
Problem-4. When our school required its students to wear uniforms, the pass rate in math increased from 62 percent to 71 percent. [round percentages to the nearest tenth]
a) The new pass rate is ____ percentage points above the old rate.
b) The new rate is ____ percent more than the old rate.
c) The new pass rate is ____ percent of the old pass rate.
Problem-5. In class, I mentioned that if the Earth was shrunk down to the size of an orange with about 3 inch diameter, then relative to the diameter of the Sun, you would need to line up about 110 oranges. I also may have mentioned that the scale factor was about 1 to 160 million. Use the following NASA data to find the exact scale
factor: Earth diameter = 7926 miles.