Answer:
(b) P(t) =7,200(1.03)^(t)
Step-by-step explanation:
The multiplier each year for the population is about ...
7416/7200 = 1.03
The initial value is 7200, so the exponential function can be written as ...
P(t) = 7200×1.03^t
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<em>Additional comment</em>
In plain text, the exponent is signified by a caret (^). Without it, the expression becomes a linear function. In typeset text, the exponent should be in a superscript font. (We notice that curriculum materials do not always properly represent exponential functions.)
Might be misleading because the commercial says only "80% of dentists use this" instead of saying "100% of dentists use this", but I do like that it's being honest! :-)
40 represents a total, but then 45% represents a part. First of all, let's find the amount of girls in the club.
45% of 40
= 18 girls
If it was increased to 56%:
56% of 40
= estimated 23, since we can't have two fifths of a person.
23 - 18 = 5 new girls joined.
To convert the distance that is given in yards to miles, we use the conversion factor,
1 yard = 0.000568 miles
which is also equal to
1 mile = 1760 yards
With these conversion factor we convert the given,
(2180 yards) x (1 mile / 1760 yard) = 1.24 miles
7b-6(11-2b)=10
The first step is to distribute. Multiply each number inside the parentheses by -6.
7b + (-6*11) + (-6*-2b) = 10
7b - 66 + 12b = 10
Now combine like terms.
19b - 66 = 10
Add 66 to both sides.
19b = 76
Divide both sides by 19.
b = 4
The answer is b = 4.