x is less than or equal to -4 or x is greater than or equal to 5
x <= -4 or x>= 5
There is no intersection of both inequalities when we graph it in number line So, we write the interval notation separately for each inequality
for x<=-4 , x starts at -4 and goes to -infinity because we have less than symbol. Also we have = sign so we use square brackets
Interval notation is (-∞ , -4]
for x>= 5 , x starts at 5 and goes to infinity because we have greater than symbol. Also we have = sign so we use square bracket at 5
Interval notation is [5 , ∞)
Now combine both notation by a 'U' symbol Union
(-∞ , -4] U [5 , ∞)
Answer:
X = 27
2x = 54
5x = 135
7x = 189
Step-by-step explanation:
let 1:2:5:5:7 be 1x,2x,5x,5x,7x
Answer:
The interest earned on the account is <u>$189.12</u>
Step-by-step explanation:
To find the overall amount after 10 years, you need to turn the 1.7% increase into a multiplier, which is 1.017. You would then put this to the power of 10, as it is after 10 years
$1030 x 1.017^10 = $1219.12
To find only the interest earned, you need to take the original balance ($1030) from the balance after 10 years ($1219.12)
$1219.12 - $1030 = <u>$189.12</u>
90 miles/4 gallons = 22.5 miles/1 gallon.
22.5 miles*18 gallons= 405 miles
the answer is 405 miles