Answer:
$36.75
Step-by-step explanation:
The amount of interest payable is given by ...
I = Prt = $2100·0.07·(3/12) . . . . . . . . t is in years
I = $36.75
The bank earned $36.75 on the loan.
Answer:
Slope of Function B = 2 x Slope of Function A.
Step-by-step explanation:
The graph of Function B shows its slope to be 4 units up for 1 unit to the right, so 4.
The equation for Function A shows its slope to be the coefficient of x, so 2.
___
4 is 2 times 2, so ...
the slope of Function B is 2 times the slope of Function A.
Answer:
Choice A)
.
Step-by-step explanation:
What are the changes that would bring
to
?
- Translate
to the left by
unit, and - Stretch
vertically (by a factor greater than
.)
. The choices of
listed here are related to
:
- Choice A)
; - Choice B)
; - Choice C)
; - Choice D)
.
The expression in the braces (for example
as in
) is the independent variable.
To shift a function on a cartesian plane to the left by
units, add
to its independent variable. Think about how
, which is to the left of
, will yield the same function value.
Conversely, to shift a function on a cartesian plane to the right by
units, subtract
from its independent variable.
For example,
is
unit to the left of
. Conversely,
is
unit to the right of
. The new function is to the left of
. Meaning that
should should add
to (rather than subtract
from) the independent variable of
. That rules out choice B) and D).
- Multiplying a function by a number that is greater than one will stretch its graph vertically.
- Multiplying a function by a number that is between zero and one will compress its graph vertically.
- Multiplying a function by a number that is between
and zero will flip its graph about the
-axis. Doing so will also compress the graph vertically. - Multiplying a function by a number that is less than
will flip its graph about the
-axis. Doing so will also stretch the graph vertically.
The graph of
is stretched vertically. However, similarly to the graph of this graph
, the graph of
increases as
increases. In other words, the graph of
isn't flipped about the
-axis.
should have been multiplied by a number that is greater than one. That rules out choice C) and D).
Overall, only choice A) meets the requirements.
Since the plot in the question also came with a couple of gridlines, see if the points
's that are on the graph of
fit into the expression
.
Given:
8 tiles
radius from the center of the archway to the inner edge of the tile. 7 ft.
radius from the center of the archway to the outer edge of the tile. 8 ft = 7 ft + 1 ft.
Area of a semi circle = π r² / 2
A = (3.14 * (7ft)²) / 2 = (3.14 * 49ft²) / 2 = 153.86 ft² / 2 = 76.93 ft²
A = (3.14 * (8ft)²) / 2 = (3.14 * 64ft²) / 2 = 200.96 ft² / 2 = 100.48 ft²
100.48 ft² - 76.93 ft² = 23.55 ft²
23.55 ft² / 8 tiles = 2.94 ft² per tile.