Patel bought a model rocket kit from a catalog. the price of the kit was $124.95. the stated sale tax of 7% was added, and then a 10$ charge for shipping was added after the sales tax. 1. what was the total amount patel paid, including tax and shipping cost? 2. patel received an allowance of 15$ per week. how may weeks will it take him to purchase the kit? show !

linearly: 8560 bacteria

exponentially: approximately 75233 bacteria

step-by-step explanation:

assuming it is not exponential (we would have some really complicated logarithms), let's say it is linear. then, after 5 hours, it increased by 1200 bacteria, so every hour it increases by 240 bacteria. this means that after 19 hours, we get 19 * 240 + 4000 bacteria or 3800 + 760 + 4000 = 7800 + 760 = 8560 bacteria.

because it says round your answer, i will do this exponentially (with a calculator, of course). first, we need to find how much it multiplies by every hour, by taking the 5th root of 52/40 or 13/10. this is approximately 0.167. we still need to add 1 to this, because we are multiplying by that number, not adding that amount of the number. now, we just calculate 4000 * (1.167)^19. use a calculator to get approximately 75232.6, or 75233.

b) the dogs need to shift their focus to human scent.