What annual compound interest rate is required for the debt of a compound interest loan to grow by 42% in 14 years? Round your answer to the nearest tenth of a percent. Solution Let D = (A+I) = Amount loaned…
Hi, I really need help on these problems: 1. A point P moves along the curve in such a way that the y-coord is increasing at a constant rate of 0.06 units per second. Find the rate of change of…
serie de n=1 a infinity}(sqrt{n de)/(n+4) ∑sqrt(n)/(n+4) from n = 1 to infinity Solution The Series diverges. The is a very useful Theorem in the theory of series THEOREM If the series ∑n=1∞ an converges , then Lim an =0 . The contrapositive of…
The radioactive element carbon-14 has a half-life of 5750 years. A scientist determined that the bones from a mastodon had lost 76.17% of their carbon-14. How old were the bones at the time they were discovered? Solution Hi. The way…
Sarah Meehan blends coffee for tasti-delight. She needs to prepare 190 pounds of blended coffee beans selling for $3.95 per pound. She plans to do this by blending together a high quality bean costing $5.00 per pound and a cheaper…
P^2 q – pq^2 – rp^2 q + rpq^2 Solution Answer: pq(1-r)(p-q) Looking at the equation we can see “pq” in each term. Therefore we can factor it out first and get pq(p-q-rp+rq) Using the grouping method we can do…
Please help solve this and show why Solution
Solution The angle must be in quadrant 4 (plot the given point!) The given point is on an isosceles right triangle, in quadrant 4, therefore, the angle is 315. (Note: the acute angle is 45°—but it must be in quadrant…
a) Which way is the particle moving vertically at time t = 2 seconds, up or down? b) At what rate is the y-coordinate changing at time t = 2 seconds? Solution The movement of this particle is described by…
Mercury metal is poured into a graduated cylinder that holds exactly 22.5 mL. The mercury used to fill the cylinder weighs 306.0 g. From this information, calculate the density of mercury. I know that you how to do M I…
