Answer:
Time taken to elapse the remaining $861 = 10.25 days
Step-by-step explanation:
Assuming that I am spending at a rate of -x dollars per day
Let initial amount be A
The rate of expenditure = 1281-861/5 = 84 dollars per day
Time taken to elapse the remaining $861 = $861/$84 per day
= 10.25 days
(a) y >_ 13
(b) x > 17.5
Explanations:
(a)
24.2 - y <_ 11.2
- y <_ 11.2 - 24.2
-y <_ -13
y >_ 13
(b)
- 12.5 + x > 5
x > 5 + 12.5
x > 17.5
(<_ means “less than or equal to” and >_ means “greater than or equal to”)
Lateral Area of a cylinder is ; 2πR.H
R=12 mm and H= 15 mm
Then LATERAL area = 2π(12)(15) =48π ≈ 150 mm²
Find the slope of the line first using

(3, 4), (2, -1)


= 5
Now use y - y1 = m(x - x1) to make an equation in slope-intercept form. Plug the numbers into the formula.
y - (-1) = 5(x - 2)
y + 1 = 5x - 10
y = 5x - 11
The equation of the line in slope-intercept form would be y = 5x - 11.
0.8 inches
the volume (V) of a sphere is calculated using the formula
V =
πr³
change the subject and express in terms of r
multiply both sides by 3
3V = 4πr³ ( divide both sides by 4π )
r³ = 3V / 4π ( take the cube root of both sides )
r = ∛( 3V /4π )
sphere A with V= 40
r = ∛ (120 / 12.56 ) = 2.122
sphere B with V = 10
r = ∛(30 / 12.56 ) = 1.337
sphere A - sphere B = 2.122 - 1.337 = 0.8 inches ( to nearest tenth )