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Alchen [17]
3 years ago
15

In a survey, 85% of those who responded to a survey were over 40 and voted in this last election. If the population of a town wa

s 15,000, how many people were over 40 and voted?
Mathematics
1 answer:
Advocard [28]3 years ago
5 0

we want to in 85% of the total population

percent means parts out of 100 so 85% is 85/100

85% 'of' 15000 means 85/100 times 15000=12750 people who were over 40 and voted

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Use the Pythagorean theorem to find the distance between the points (1,1) and (5,7).?
Fynjy0 [20]

Check the picture below.

7 0
2 years ago
a cd usally sells for 17.00 if the CD is 30% off and the sales tax is 8% what is the total price of the CD including tax
Ksenya-84 [330]

Answer:

$12.85

Step-by-step explanation:

First we need to find the sale price of the CD

Sale price = old price - old price * discount rate

                 = 17 - 17* .3

                 = 17 - 5.1

                 = 11.9

The sale price of the CD is 11.90

Now we need to find the tax

tax = sale price of cd * tax rate

      = 11.9 * .08

      = .95


The final cost of the CD is  sale price of CD plus the tax

Total cost = sale price of CD + tax

                 = 11.90 + .95

                    =12.85

3 0
3 years ago
How would I set up this problem?
Sliva [168]
Since in 1990 there are 28%, we need to figure out when it gets to 31%. In addition, since it increases by 0.6% every year, we can say that 0.6x+28 (since 28 is the base value) is the percentage of babies born in wedlock every year. Therefore, to get 0.6x+28=31, we subtract 28 from both sides to get 0.6x=3
Dividing both sides by 0.6, we get x=5=the amount of years it takes to get 31% of babies born in wedlock. Since 1990 is the base value (we start from there!), we add 5 to that to get 1990+5=1995 as the yar
4 0
3 years ago
∫c<br> x sin y ds, C is the line segment from (0, 1) to (3, 5)
Mnenie [13.5K]
Parameterize the line segment C by

\mathbf r(t)=\langle x(t),y(t)\rangle=(1-t)\langle0,1\rangle+t\langle3,5\rangle=\langle3t,1+4t\rangle

where t\in[0,1]. Then

\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt
\mathrm ds=\|\langle3,4\rangle\|\,\mathrm dt
\mathrm ds=5\,\mathrm dt

So the integral is

\displaystyle\int_Cx\sin y\,\mathrm ds=5\int_0^1x(t)\sin y(t)\,\mathrm dt
=\displaystyle5\int_0^13t\sin(1+4t)\,\mathrm dt
=\dfrac{15}{16}(\sin5-\sin-4\cos5)\approx-2.7516
3 0
3 years ago
The equation below can be used to find the length of a foot or forearm when you know one or the other. (length of the foot) = 0.
3241004551 [841]
This is child's play. 

So, basically:
Y=Length of foot
X= Length of your forearm. 
This is simple. Your equation is Y=0.860x + 3.302
So, if you have a forearm (x) that is 17 inches long, then plug in x as 17. This leaves you to evaluate for Y.
New equation: Y=0.860(17) +3.302
Work it out, you get: Y=14.62 + 3.302
Work that out, you get: Y= 17.922 inches long. 
And of course, Y is the foot.

So, your answer: If the forearm is 17 inches long, then the foot is 17.922 inches long. Simple.

So, part 2:
Rate of change. Well, you need slope then, because that's the same thing.
Y=mx+b, Where m=slope
Your answer turns to be 0.860 inches per length of arm, for rate of change.

Skipping the data, as that's only something you'd know.

Yes, it is indeed a function. There can't be any exponents greater than 1 on the placeholder, and it's obviously not a straight line if you plug it in. 

So yeah, it's a function.

~Hope this helps m8







5 0
3 years ago
Read 2 more answers
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