Answer: 103, 104, 105, and 106
Step-by-step explanation: This problem states that the sum of 4 consecutive integers is 418 and it asks us to find the integers.
First represent your 4 consecutive integers as follows.
X ⇒ first integer
X + 1 ⇒ second integer
X + 2 ⇒ third integer
X + 3 ⇒ fourth integer
Since their sum is 418, our equation reads
x + (x + 1) + (x + 2) + (x + 3) = 418.
Simplifying on the left side we get 4x + 6 = 418.
Now we can subtract 6 from both sides of the equation and we have
4x = 412.
Now just divide both sides by 4 and we find that <em>x = 103</em>.
Finally, make sure you list all your answers.
If <em>x</em> is 103, then <em>x </em>+ 1 is 104, <em>x</em> + 2 is 105, and <em>x</em> + 3 is 106
Therefore, our 3 consecutive integers are 103, 104, 105, and 106.
He will need to buy 9 chocolate bars
Answer:
Ed Moura invest $64000 in certificates of deposit paying 3%
Step-by-step explanation:
Ed Moura has $32000 invested in stocks paying 6%.
Additional money in certificates of deposit paying 3% =x
so that the average return on the two investments is 4%.
32000*6% +3%*x = 4%(32000+x)
32000*0.06 +0.03*x = 0.04(32000+ x)
1920 + 0.03x = 1280 +0 .04x
1920 - 1280 = 0.04x - 0.03x
0.01x = 640
x = 64000
x = $64000
x= $64000 in certificates of deposit paying 3%
Thank you.
