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zlopas [31]
4 years ago
13

Select the correct answer What is the solution for in the equation? 4+ 5x-7 = 10+ 3x-2 * Y Lee R=###​

Mathematics
1 answer:
Lina20 [59]4 years ago
7 0

Answer:

x=11/2

Step-by-step explanation:

4+5x‒7=10+3x‒2

5x‒3=8+3x

5x‒3x=8+3

2x=11

2x/2=11/2

x=11/2

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Step-by-step explanation:

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Reagan has a savings account that earns 1.87% interest, compounded quarterly. If she needs $20,857 for a down payment on a house
MatroZZZ [7]
To solve this, we are going to use the compounded interest formula: A=P(1+ \frac{r}{n} )^{nt}
where 
A is the final amount after t years
P is the initial investment 
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n is the number of times the interest is compounded per year
t is the time in years

We know from our problems that she needs $20,857 for a down payment on a house in 9 years, so A=20857 and t=9. To convert the interest rate to decimal form, we are going to divide the rate by 100%
r= \frac{1.87}{100} =0.0187
Since the interest is compounded quarterly, it is compounded 4 times per year; therefore, n=4. 
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A=P(1+ \frac{r}{n} )^{nt}
20857=P(1+ \frac{0.0187}{4} )^{(4)(9)}
P= \frac{20857}{(1+ \frac{0.0187}{4} )^{(4)(9)}}
P= \frac{20857}{(1+ \frac{0.0187}{4} )^{36}}
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We can conclude that the correct answer is: <span>B. 17,633.17</span>
7 0
4 years ago
Giovani solves a system of equations algebrically he concludes that the lines are parallel which could be the final of his solut
kenny6666 [7]

Answer:

If the lines are parallel, final form of his solution is

b) -5 = -5+1

Step-by-step explanation:

As the options are not given in the question and the question is incomplete, lets complete the question first.

Giovani solves a system of linear equations algebrically, he concludes that the lines are parallel. Which could be his final answer.

a) -5 = -5

b) -5 = -5+1

c) 11 = 11

d) 5 = 5

We know that parallel lines never cross at any point, there is no intersection point, which eventually means that there is no solution to the given equations. A system of equations which have no solution is called an inconsistent system of equations, and it graphs the parallel line.

From the options we can clearly see that only (b) has no solution, while all the rest of the options have solutions. Hence, -5 = -5+1 represents parallel lines.

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3 years ago
(sinx-cosx)/cosx+(cosx-sinx)/sinx=secxcscx-2
Alenkasestr [34]

Answer:

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Step-by-step explanation:

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