Answer:
D
Step-by-step explanation:
The interest is compounded annually, which means that interest from the previous year earns you even more money next year.
It should be obvious that after one year Alexis will have
$475 + $475 * 1.25% = $475 * 100% + $475 * 1.25% =
= 101.25% * $475 = 1.0125 * $475
Then, next year she would have
1.0125 * $475 + (1.0125 * $475) * 1.25% =
= (1.0125 * $475) * 1.0125 = 1.0125^2 * $475
See the pattern?
Alexis will have $475 * 1.0125^x after x years.
Answer:
10x
Step-by-step explanation:
you substitue f(x) with 5 and g(x) with 2x
then you multiply them both 5*2x
and you get 10x
Answer (x,y) (3, -2)
Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we
can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
Answer:
First term: 5
Fourth term: 5 1/2
Tenth term: 6 1/2
Step-by-step explanation:
Let's find the first, fourth and tenth terms of the arithmetic sequence described by the given rule:
A(n) = 5 + (n-1) (1/6)
First term:
A(1) = 5 + (1-1) (1/6)
A(1) = 5 + (0) (1/6)
A(1) = 5
Fourth term:
A(4) = 5 + (4-1) (1/6)
A(4) = 5 + (3) (1/6)
A(4) = 5 + 3/6 = 5 3/6 = 5 1/2 (simplifying)
Tenth term:
A(10) = 5 + (10-1) (1/6)
A(10) = 5 + (9) (1/6)
A (10) = 5 + 9/6 = 6 3/6 = 6 1/2 (simplifying)
Answer:
A
Step-by-step explanation:
