Invested at 3% = x
invested at 4% = 2x
invested at 5% = x+500
0.03x + 0.04(2x) + 0.05(x+500) = 2025
0.03x + 0.08x +0.05x +25 = 2025
0.16x = 2000
x= 12,500
4% = 2x = 12,500 * 2 = $25,000
Answer:
The velocity in meter per seconds is 76.9m/s
Step-by-step explanation:
The total distance walked is 1000m
Velocity= distance/time
= 1000/13
= 76.9m/s
The speed and velocity is used interchangeably therefore the speed is also 76.9 m/s
Answer:
56 feet
Step-by-step explanation:
If 1 inch = 2 feet, we can first find the actual dimensions of his room by multiplying the number of inches by 2.
6(2)
= 12
8(2)
= 16
So, the actual dimensions of his room are 12 feet by 16 feet.
To find the perimeter, use the perimeter formula, P = 2l + 2w.
Plug in the length and width:
P = 2l + 2w
P = 2(12) + 2(16)
P = 24 + 32
P = 56
So, the perimeter of his actual room is 56 feet.
Range of values of x is 25°<x<27°.
<u>Step-by-step explanation:</u>
An angle is formed when two rays, a line with one endpoint, meet at one point called a vertex.Alternate interior angles are formed when a transversal passes through two lines. The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles. The Alternate Interior Angles theorem states, if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.
In above question, sides are equal and so alternate interior angles are equal i.e. 2x + 10° = 62° ⇒ 2x = 52° ⇒ x =26°
∴ range of values of x is 25°<x<27°
