P(1) = P(0) [exp (rt)]
9,800 = 10,000 (0.98)^1
r = loge<span> (0.98) = ln (0.98) = -0.0202
</span>
<span>P(t) = P(0)[exp(-0.0202t)]</span>
Answer:
Step-by-step explanation:
You aren't able to figure out an exact number of either footballs or basketballs because you don't have enough information for that, but you do have enough to get an expression for one in terms of the other, which I imagine is the point here. We know that for every 1 basketball sold, we sold 2.5 footballs, so the algebraic expression for that is
1 bball = 2.5 fballs
This gives us the number of bballs in terms of fballs but we want the number of fballs in terms of bballs, so solve that expression for fballs:
1 fball = 1/2.5 bballs
or, in words, for every single football sold, 2/5 of a basketball was sold. Sounds silly, but I think your teacher is trying to get you to figure out how to express one thing in terms of another so you can use the expressions in solving story problems.
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6 cups of flour is needed for a big batch of cookies that uses 9 cups of oatmeal
Step-by-step explanation:
For 3 cups of oatmeal 2 cups of flour is required.
We need to find how much flour is needed for 9 cups of oatmeal.
Solving by using Unitary Method
3 cups of oatmeal require flour = 2 cups
1 cup of oatmeal require flour = 
9 cups of oatmeal require flour = 
= 
So, 6 cups of flour is needed for a big batch of cookies that uses 9 cups of oatmeal
Keywords: Word Problems
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Xyz>0, a-location of a point
if
a∈{{x<0∧y<0∧z>0}∨{x>0∧y<0∧z<0}∨{x<0∧y>0∧z<0}∨{x>0∧y>0∧z>0}}
Answer:


Step-by-step explanation:
Open the brackets first:

Simplify:

It is determined that this can't be factored, so rewrite the equation so you can complete the square.

Take the square of 1.5 and add it to both sides:

Factor:


or 
So 
or 