Answer:
1.3
Step-by-step explanation:
The two points lie on the same vertical line (x=2), so the distance between them is the difference of their y-coordinates:
2.5 - 1.2 = 1.3 . . . distance between the points
$11,000 will bet the cost in 7 years
Given:
Original cost: $25,000
Depreciation rate: 8%
Term: 7 years
Formula for Depreciation:
A = C ( 1 - ( r ) (t) )
A = Future Value
C = Original Cost
r = rate
t = term
Solution:
Substitute the given values to the formula for depreciation.
A = $25,000( 1 - ( 0.08)(7))
A = $25,000( 1 - .56 )
A = $25,000(0.44 )
A = $11,000
Answer:
The length of the diagonal is x√10
Step-by-step explanation:
Here, we want to find the length of the diagonal
The diagonal will represent the hypotenuse of a triangle formed with the width and length of the triangle being the measure of the other sides
Mathematically, we then apply Pythagoras’ theorem to get this
we have this as that the square of the diagonal equals the sum of the squares of the two other sides
d^2 = x^2 + (3x)^2
d^2 = x^2 + 9x^2
d^2 = 10x^2
d = √(10x^2)
d = x√10
Answer:
SSS, SAS, ASA, AAS, HL
Step-by-step explanation:
1. SSS (side side side) says if 3 sides of one triangle are congruent to 3 sides of another triangle, then the 2 triangles are congruent.
2. SAS (side angle side) says if 2 sides and the included angle of a triangle are congruent to 2 sides and the included angle of another triangle, then the 2 triangles are congruent.
3. ASA (angle side angle) says if 2 angles and the included side of a triangle are congruent to 2 angles and the included side of another triangle, then the 2 triangles are congruent.
4. AAS (angle angle side) says if 2 angles and the none included side of one triangle are congruent to the corresponding parts of another triangle, then the 2 triangles are congruent.
5 HL (hypotenuse leg) says if 2 right triangles that have a congruent hypotenuse and a corresponding congruent leg, then the 2 triangles are congruent.
Because it is a rectangle, the sides are equal, and they share the same hypotenuse.
Answer: There is 3.994% continuous growth rate per hour.
Step-by-step explanation:
Since we have given that
Initial bacteria = 2600
After two and a half hours,
Number of bacteria = 2873
We need to find the continuous growth rate per hour.
As we know the equation for continuous growth rate per hour.

Hence, there is 3.994% continuous growth rate per hour.