Erika's parents gave her $500 for her high school graduation she put the money into a savings account that earns 7.5% annual int
1 answer:
Answer:
Step-by-step explanation:
The interest (simple interest) is calculated by:
Where:
is the principal
is the percent of the principal that is paid over a period of time (yearly in this case).
is the time, since we are told the money was left in the account for 9 months of the 12 months a year has.
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Answer:
(x - 1)² + (y - 4)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
here (h, k) = (1, 4), so
(x - 1)² + (y - 4)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (4, 8)
r =
= =
=
= 5
Hence
(x - 1)² + (y - 4)² = 5², that is
(x - 1)² + (y - 4)² = 25 ← equation of circle
Answer:
The graph that shows the dilation of the rectangle in the attached figure
Step-by-step explanation:
we know that
A dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
In this problem we have that the scale factor is equal to 2
Remember that
If a scale factor is greater than 1, then the dilation is a enlargement
To find out the dimensions of the dilated figure multiply the original dimensions by the scale factor
The original dimensions of rectangle are
The dimensions of the dilated rectangle are
therefore
The graph that shows the dilation of the rectangle in the attached figure
