The controller (money manager) for a small company puts some money in a bank account paying 4% per year. He uses some additional money, amounting to 1/3 the amount placed in the bank, to buy bonds paying 5% per year. With the balance of the funds, he buys a 10% certificate of deposit. The first year the investments bring a return of $885. If the total of the investments is $10,000 how much is invested at each rate? Suppose the condition that the amount used to buy bonds at 5% per year is equal to 1/3 of the amount placed in the bank is dropped. How is the solution changed?

Which shows the correct lengths of side c in both scales? scale 1: 45 m; scale 2: 60 m scale 1: 60 m; scale 2: 45 m scale 1: 36 m; scale 2: 27 m scale 1: 27 m; scale 2: 36 m mark this and return save and exit

What effect would doubling all the dimensions of a triangular pyramid have on the volume of the pyramid? explain your reasoning.

Ariana starts with 100 milligrams of a radioactive substance. the amount of the substance decreases by 20% each week for a number of weeks, w. the expression 100(1−0.2)w finds the amount of radioactive substance remaining after w weeks. which statement about this expression is true? a) it is the difference between the initial amount and the percent decrease. b) it is the difference between the initial amount and the decay factor after w weeks. c) it is the initial amount raised to the decay factor after w weeks. d) it is the product of the initial amount and the decay factor after w weeks.