Answer:
1
Step-by-step explanation:
When a variable does not have a visible coeffecient then the coefficient is 1. (Double check to make sure I'm correct)
To find the total amount, you will use the formula for finding compounded interest. This means you will be paid interest on top of the interest you have earned each year.
A = P(1 + r)^nt
P stands for the principal.
r is the interest rate when compounded annually
nt is the number of years
A = 17.50(1 + 0.04)^25
A = $46.65
This person would have $46.65 after 25 years.
Answer:
71
Step-by-step explanation:
Remember to always follow PEMDAS as well as the left -> right rule. While you do not need PEMDAS for this expression specifically, it is always good to know it. PEMDAS is the order of operations:
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
-----------------------------------------------------------------------------------------------------
First, solve the parenthesis:
(6 - 3) = 3
Next, simplify, by adding:
36 + 32 + 3 =
68 + 3 = 71
71 is your answer.
~
Answer: The equation of an ellipse:
(
x
−
h
)
2
a
2
+
(
y
−
k
)
2
b
2
=
1
;
a
>
b
Has vertices at
(
h
±
a
,
k
)
Has foci at
(
h
±
√
a
2
−
b
2
,
k
)
Use the vertices to write 3 equations:
k
=
4
[1]
h
−
a
=
−
6
[2]
h
+
a
=
10
[3]
Use equations [2] and [3] to solve for h and a:
2
h
=
4
h
=
2
a
=
8
Use the focus to write another equation:
8
=
h
+
√
a
2
−
b
2
Substitute values for h and a:
8
=
2
+
√
8
2
−
b
2
6
=
√
64
−
b
2
36
=
64
−
b
2
b
2
=
64
−
36
b
2
=
28
b
=
√
28
Substitute the values into the standard form:
(
x
−
2
)
2
8
2
+
(
y
−
4
)
2
(
√
28
)
2
=
1
