the difference in the amount of interest Stephanie would have to pay for each of these two loans is $1950 . Correct option D) .
<u>Step-by-step explanation:</u>
Here we have , Stephanie is taking out a loan in the amount of $15,000. Her choices for the loan are a 4-year loan at 3% simple interest and a 5-year loan at 5% simple interest. We need to find the difference in the amount of interest Stephanie would have to pay for each of these two loans . let's find out:
a 4-year loan at 3% simple interest :
⇒ 
{ As loan is for 4 years we multiply by 4 }
⇒ 
⇒ $
a 5-year loan at 5% simple interest :
⇒ 
{ As loan is for 5 years we multiply by 5 }
⇒ 
⇒ $
So , Difference = $3750 - $1800 = $1950
Therefore , the difference in the amount of interest Stephanie would have to pay for each of these two loans is $1950 . Correct option D) .
Hello!! Lets do this step by step! :)
<span><span><span><span>−<span>4x</span></span>+<span>8y</span></span>=<span>−4</span></span>;<span><span>4x</span>=<span><span>3y</span>+14</span></span></span> <span><span><span>
<span /></span><span /></span><span /></span>To first get x:
<span><span><span><span>−<span>4x</span></span>+<span>8y</span></span>+<span>−<span>8y</span></span></span>=<span><span>−4</span>+<span>−<span>8y </span></span></span></span>we are ganna add -8y to both sides
<span><span>−<span>4x</span></span>=<span><span>−<span>8y</span></span>−4</span></span><span><span><span>−<span>4x</span></span><span>−4</span></span>=<span><span><span>−<span>8y</span></span>−4</span><span>−4 </span></span></span>we are ganna divide both sides by -4
<span>x=<span><span>2y</span>+1</span></span>
next just substitute <span><span>2y</span>+1</span> for x in<span><span><span> 4x</span>=<span><span>3y</span>+14</span></span>:</span><span><span>4x</span>=<span><span>3y</span>+14</span></span><span><span>4<span>(<span><span>2y</span>+1</span>)</span></span>=<span><span>3y</span>+14</span></span><span><span><span>8y</span>+4</span>=<span><span>3y</span>+14</span></span><span><span><span><span>8y</span>+4</span>+<span>−<span>3y</span></span></span>=<span><span><span>3y</span>+14</span>+<span>−<span>3y</span></span></span></span>
we are ganna add -3y to both sides <span><span><span>5y</span>+4</span>=14</span><span><span><span><span>5y</span>+4</span>+<span>−4</span></span>=<span>14+<span>−4</span></span></span>
we are ganna add -4 to both sides <span><span>5y</span>=10</span><span><span><span>5y</span>5</span>=<span>105</span></span>
now we are ganna divide both sides by 5 <span>y=2</span>substitute 2 for y in<span><span> x=<span><span>2y</span>+1</span></span>:</span><span>x=<span><span>2y</span>+1</span></span><span>x=<span><span><span>(2)</span><span>(2)</span></span>+1</span></span><span>x=5</span>
And we get our answer!
x=5
y=2
Hope that helps! If you have any other questions or need further explanation just let me know! :)
Answer:
All real numbers are solutions
Step-by-step explanation:
2x + 8 = 2(x + 4)
~Simplify right side
2x + 8 = 2x + 8
~Subtract 8 to both sides
2x = 2x
~Divide 2 to both sides
0 = 0
Best of Luck!
600*24= 25
It would take the cyclist 25 days to travel 600 miles.
