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olya-2409 [2.1K]
3 years ago
6

A. write an expression for the total cost of three types of tickets .

Mathematics
1 answer:
babymother [125]3 years ago
5 0
If youre writing an exprssion all you need to do is make variables and multiply by the given number A, C, and S will be our variables.
2A + 3C + 1S = Total cost for andrews family 

4A + 2C = Total cost for Spencers family

Now, Does 2A + 3C + 1S = 4A + 2C

lets say A = 5 , C = 3 , and S = 2
2(5) + 3(3) + 1(2) = 4(5) + 2(3) 
10 + 9 + 2 = 20 + 6
21 = 26 

if this is your example then No, the spencers family spent more than the andrews family, youll have to do the math differently and may come up with a different answer if you were given values that you didn't give us, but this is how its done :) 

Hope this helps!

 
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Find the measures of two angles, one positive and one negative, that are coterminal with <img src="https://tex.z-dn.net/?f=%5Cfr
aleksandrvk [35]

Answer:

a. 11/5 pi; -9/5 pi

Step-by-step explanation:

Coterminal angles are those which have a common terminal side. For example 30° is coterminal with −330° and 390° (see figure).

From the example we can see that the following expressions must be fulfilled:

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where positive angle is 390°, reference angle is 30° and negative angle is -330°. In this problem reference angle is pi/5. Also, we have to change 360° for its equivalent in radians, i. e., 2 pi. So,

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To solve this we are going to use the future value of annuity due formula: FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]
where
FV is the future value
P is the periodic deposit 
r is the interest rate in decimal form 
n is the number of times the interest is compounded per year
k is the number of deposits per year

We know for our problem that P=420 and t=15. To convert the interest rate to decimal form, we are going to divide the rate by 100%: r= \frac{10}{100} =0.1. Since Ruben makes the deposits every 6 months, k=2. The interest is compounded semiannually, so 2 times per year; therefore, k=2.
Lets replace the values in our formula:

FV=(1+ \frac{r}{n} )*P[ \frac{(1+ \frac{r}{n})^{kt}-1 }{ \frac{r}{n} } ]
FV=(1+ \frac{0.1}{2} )*420[ \frac{(1+ \frac{0.1}{2})^{(2)(15)}-1 }{ \frac{01}{2} } ]
FV=29299.53

We can conclude that the correct answer is <span>$29,299.53</span>
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