Answer:
Step-by-step explanation:
The formula for simple interest is
prt = I, where p is the initial investment, r is the interest rate in decimal form, t is the time it's invested for, and I is the interest earned. We multiply the p, the r, and the t together to get I. For us that looks like this:
(2.58)(.05)(4) = I and
I = .516 or 52 cents.
Answer:
There is a horizontal translation 4 units left, and and vertical translation 1 unit down.
Step-by-step explanation:
To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Parent function: f(x) = (5)^x
Horizontal translation: 4 units left
Vertical translation: 1 unit down
Reflection about the x-axis: none
Vertical stretch: stretched
Answer:
The equation of the given circle is X²+y²+4x- 12y+15=0
9514 1404 393
Answer:
5/9 m/min
Step-by-step explanation:
The depth of the water is 2/5 of the depth of the trough, so the width of the surface will be 2/5 of the width of the trough:
2/5 × 2 m = 4/5 m
Then the surface area of the water is ...
A = LW = (18 m)(4/5 m) = 14.4 m²
The rate of change of height multiplied by the area gives the rate of change of volume:
8 m³/min = (14.4 m²)(h')
h' = (8 m³/min)/(14.4 m²) = 5/9 m/min
