Hector invests $800 in an account that earns 6.94% annual interest compounded semiannually. Rebecca invests $1,000 in an account that earns 5.45% annual interest
compounded monthly. Find when the value of Rebecca's investment equals the value of
Hector's investment and find the common value of the investments at that time. If
necessary, enter the year to the nearest tenth and the value to the nearest cent.
The value of Rebecca's investment equals the value of Hector's investment after
approximately
years to the nearest tenth. The common value of the investments is
approximately $

(01.04 mc) an ice sculpture is melting because of heat. assuming its height changes bynegative 5 over 32m every hour, what will be the change in height after 4 hours?

The rate of decay of a radioactive substance depends upon the amount present initially. the mass y (mg) of the radioactive substance cobalt-60 present in a sample at time t (years) is represented by the exponential equation y=50e −0.1315 t . answer the following questions in complete sentences. 1. how does the exponential equation above compare to the equation for simple interest that is compounded continuously? explain the similarities. 2. what is the initial amount of cobalt-60 in the sample? 2. how much cobalt-60 is left after 8.4 years? show your work. 3. what would be the y-intercept of the graph? what does it represent? 4. after how many years will the amount of cobalt-60 left be 6.25 mg? explain what happens to the cobalt-60 after 50 years? 5. discuss some “real-world” examples and uses of cobalt-60

Abag of jelly beans contain 13 pink, green, 20 yellow, 10 black, 7 red, and 11 orange jelly beans. approximately what percent of the jelly beans are pink and yellow?