Answer:
Time taken n = 19 years (Approx)
Step-by-step explanation:
Given:
Amount of car P = $27,500
Decrease rate r = 15% = 0.15
Final amount A = $1,254
Find:
Time taken n
Computation:
A = P[1-r]ⁿ
1,254 = 27,500[1-0.15]ⁿ
0.0456 = [0.85]ⁿ
Time taken n = 19 years (Approx)
Answer:
The measures of the angles are 150° and 30°.
Step-by-step explanation:
Let x and y represent the measures of the angles, with x representing the larger angle.
x + y = 180 . . . . . . the two angles are supplementary
x = 90 + 2y . . . . . one is 90° more than twice the other
___
Substituting the expression given by the second equation into the first, we have ...
(90 +2y) +y = 180
3y = 90 . . . . . . . . . . collect terms, subtract 90
y = 30 . . . . . . . . . . . divide by the coefficient of y
x = 180 -y = 150
The measures of the angles are 150° and 30°.
Answer:
0.986
Step-by-step explanation:
2.5 times 0.986=2.465
Area: 64 in.
Perimeter: 102 in.
Answer:
13ft
Step-by-step explanation:
Kindly find attached a rough draft of the situation.
Step one:
Given data
The length of the slide represents the
Hypotenuse of the situation on the rough sketch
Angle =33°
Required
The height of the ladder which is the adjacent of the rough sketch represented by x
Step two:
Applying SOH CAH TOA
Cos θ= adj/hyp
Cos 33=x/15
0.84=x/15
Cross multiplying
x=0.84*15
x=12.6
To the nearest foot the ladder is 13ft tall
