Number Line A, well the first number line.
The open circle shows us that -5 is NOT in the solution. All the numbers greater than -5 ( x > -5) are in the solution.
Faith xoxo
Answer:
$300
Step-by-step explanation:
Given that:
Derek bought a new car for $32,000;
The original amount of purchase = $32,000
Down payment = $17,000
Remaining amount = Original amount of purchase - Down payment
= $(32000 -17000)
= $ 15,000
Also;
rate of interest per month is 2%
and the Derek is unable to pay his first monthly payment
thus the interest amount is calculated on principal amount
so for the first month interest is calculated on total principal amount
The month interest payment is then calculated as :
= 15,000 × 2%
= 15,000 × 0.02
= $300
The fencing line x is the height of a rectangle triangle of base = y, hypothenuse of 9 m, so we use Pythagoras theorem to solve:
hyp^2 = height^2 + base^2
9^2 = x^2 + y^2
x^2 = 81 - y^2
we can see that x is also the height of another rectangle triangle of base = 15 - y, hypothenuse of 12 m, so we use Pythagoras theorem to solve:
hyp^2 = height^2 + base^2
12^2 = x^2 + (15 - y)^2
lets expand:
144 = x^2 + 225 - 30y + y^2
substitute x^2 from the first equation in the last:
144 = 81 - y^2 + 225 - 30y + y^2
144 = 81 + 225 - 30y
30y = -144 + 81 + 225
y = 5.4 m
substitute in the fence equation:
x^2 = 81 - y^2
x^2 = 81 - 5.4^2
x = 7.2 m that is the length of the fence
Answer:
Tax for Italian Salad=$0.20
Tax for Lasagna= $0.43
Tax for Spaghetti =$0.21
Tax for Fettuccini Alfredo =$0.36
Step-by-step explanation:
Hi, to answer this question we have to multiple the price of each item by the tax percentage in decimal form (divided by 100):
Italian Salad =$3.99
- Tax for Italian Salad= 3.99 x (5/100) = 3.99 x 0.05 =$0.20
Lasagna =$8.50
- Tax for Lasagna= 8.50 x (5/100) = 8.50 x 0.05 =$0.43
Spaghetti =$4.29
- Tax for Spaghetti = 4.29x (5/100) = 4.29 x 0.05 =$0.21
Fettuccini Alfredo =$7.17
- Tax for Fettuccini Alfredo = 7.17 x (5/100) = 7.17 x 0.05 =$0.36
Feel free to ask for more if needed or if you did not understand something.
Answer:
Distance: 435.9 ft
Step-by-step explanation:
This is a right triangle shown in the picture.
To solve for 
, we can use trigonometry.
The 35° angle's opposite side is 250 ft and the hypotenuse of the triangle is (what we are seeking to find).
The ratio that relates opposite and hypotenuse is sine.
<em>We know that,</em>
<em>Thus we can write:</em>
<em>Cross multiplying and solving for gives us:</em>
Second answer choice is right: 435.9 ft
