A =
p = principal amount (the initial amount you borrow or deposit)
r = annual rate of interest (as a decimal)
t = number of years the amount is deposited or borrowed for.
A = amount of money accumulated after n years, including interest.
n = number of times the interest is compounded per year
$2,697.20
Answer:
3:2 i believe
Step-by-step explanation:
9:6
divide by 3
3:2
<h3>
Answer: B. (40,40)</h3>
Explanation:
<u>Given Inequalities</u>:
(i) 3x + 8y ≤ 480
(ii) y - x ≤ 20
For first inequality:
(a) y intercept: (0, 60)
(b) x intercept: (160, 0)
- Plot this line with a solid line and shade below.
For second inequality:
(a) y intercept: (0, 20)
(b) x intercept: (-20, 0)
- Plot this line with a solid line and shade below.
The point (40, 40) falls between these two inequalities.
Answer. First option: -1
Solution:
We have a triangle, and we know two angles of 60° each one. We can find the third angle A, using:
A+B+C=180°, with B=60° and C=60°:
A+60°+60°=180°
Solving for A: Adding similar terms:
A+120°=180°
Subtracting 120° both sides of the equation:
A+120°-120°=180°-120°
A=60°
The third angle A is 60° too, then the triangle has three equal angles of 60° each one, and it is an equillateral triangle, thus its three sides must be congruents:
2y+6=4=2x-3
We need to find the value of y, then using the first equality:
2y+6=4
Solving for y: Subtracting 6 both sides of the equation:
2y+6-6=4-6
2y=-2
Diniding both sides of the equation by 2:
2y/2=-2/2
y=-1
Answer:
Her total run is 0.81 miles.
Step-by-step explanation:
Consider the provided information.
The provided information can be visualized by the figure 1.
The path she covers represent a right angle triangle, where the length of two legs are given as 0.19 and 0.28.
Use the Pythagorean theorem to find the length of missing side.
Where, <em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse of the right angle triangle.
The provided lengths are 0.19 and 0.28.
Now, calculate the missing side.
Thus, the total distance is:
0.34 + 0.19 + 0.28 = 0.81
Therefore, her total run is 0.81 miles.
