Answer:
more than 90° or less than 180°
Answer:
C
Step-by-step explanation:
Answer:
4 years and 2 months
Step-by-step explanation:
<u>Simple interest formula</u>
A = P(1 + rt)
where:
- A = final amount
- P = principal amount
- r = interest rate (in decimal form)
- t = time (in years)
Given:
- A = $500 × 2 = $1,000
- P = $500
- r = 24% = 0.24
Substitute the given values into the formula and solve for t:
Therefore, it takes 4 years and 2 months for the initial investment of $500 to double at a simple interested rate of 24%.
His friends ate 1/2 of 3/4..." of " means multiply
1/2 * 3/4 = 3/8
so his friends ate 3/8 of the bag of popcorn
Explanation:
first find the slope m of the line passing through the
the 2 given points
to calculate the slope m use the
gradient formula
∙
x
m
=
y
2
−
y
1
x
2
−
x
1
let
(
x
1
,
y
1
)
=
(
1
,
3
)
and
(
x
2
,
y
2
)
=
(
−
5
,
6
)
m
=
6
−
3
−
5
−
1
=
3
−
6
=
−
1
2
given a line with slope m then the slope of a line
perpendicular to it is
∙
x
m
perpendicular
=
−
1
m
hence
m
perpendicular
=
−
1
−
1
2
=
2
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
here
m
=
2
y
=
2
x
+
b
←
is the partial equation
to find b substitute
(
−
2
,
7
)
into the partial equation
7
=
−
4
+
b
⇒
b
=
7
+
4
=
11
y
=
2
x
+
11
←
is the required equation
