Answer:
13, 14, 15
Step-by-step explanation:
Three consecutive integers have a sum of 42 means which 3 numbers in a row add up to 42
We can call the lowest integer x,
the next integer x+1 (since our integers need to be even)
the third integer x+2
algebraic equation: 42 = x + (x+1) + (x+2).
Combine like terms on the right side,
42 = 3x + 3
Subtract 3 from each side
39 = 3x
Divide each side by 3
x=13, which is our lowest integer.
The next two integers we find with 13 + 1 =.14 and 13 + 2 = 15
13 + 14 + 15 = 42.
Answer:
$2,410.69
Step-by-step explanation:
$1,950 x 1.15 = $2,242.50 after 15% markup
$2,242.50 x 1.075 = $2,410.68 after the 7.5% sales tax.
or you can do:
$1,950 x 0.15 = $292.5 markup
$1,950 + $292.5 = $2,242.50
$2,242.50 x 0.075 = $168.19 for sales tax
$2,242.50 + $168.19 = $2,410.69 total
Answer:
(a) 
(b)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Prove: That the sum of the squares of 4 consecutive integers is an even integer.
An integer is a any directed number that has no decimal part or indivisible fractional part. Examples are: 4, 100, 0, -20,-100 etc.
Selecting 4 consecutive positive integers: 5, 6, 7, 8. Then;
= 25
= 36
= 49
= 64
The sum of the squares = 25 + 36 + 49 + 64
= 174
Also,
Selecting 4 consecutive negative integers: -10, -11, -12, -13. Then;
= 100
= 121
= 144
= 169
The sum of the squares = 100 + 121 + 144 + 169
= 534
Therefore, the sum of the squares of 4 consecutive integers is an even integer.
Answer:
50% increase.
Step-by-step explanation:
(New Value - Initial Value)/(Initial Value) * 100 = percentage increase or decrease
(The formula)
