Answer:
P = 1039.5
Step-by-step explanation:
Given:-
- The initial amount deposited, Po = 500
- The interest rate applied, I = 5% compounded annually
Find:-
- The amount on her bank statement after 15 years?
Solution:-
- We see that the principal amount increases every year and no transactions have been made in the course of 15 years.
The total amount left in her savings account would be given by the following formula:
P = Po * ( 1 + I/100 )^n
- Where, n = number of years passed since deposit. (15 years)
P = 500 * ( 1 + 5/100 )^15
P = 500 * (1.05)^15
P = 1039.5
Answer:
(A) The quantities form a proportional relationship for both peaches and plums.
Step-by-step explanation:
Answer:
The value of b is -5
Step-by-step explanation:
It depends on the how much the ratio makes but i think it is 72 but not positive but it also might be 6 but that is with additional information
Answer:
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
Start on the left side.
1
+
sec
2
(
x
)
sin
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
+
1
cos
2
(
x
)
sin
2
(
x
)
Write
sin
2
(
x
)
as a fraction with denominator
1
.
1
+
1
cos
2
(
x
)
⋅
sin
2
(
x
)
1
Combine.
1
+
1
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
sin
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
⋅
1
Multiply
cos
(
x
)
2
by
1
.
1
+
sin
2
(
x
)
cos
2
(
x
)
Apply Pythagorean identity in reverse.
1
+
1
−
cos
2
(
x
)
cos
2
(
x
)
Simplify.
Tap for more steps...
1
cos
2
(
x
)
Now consider the right side of the equation.
sec
2
(
x
)
Convert to sines and cosines.
Tap for more steps...
1
2
cos
2
(
x
)
One to any power is one.
1
cos
2
(
x
)
Because the two sides have been shown to be equivalent, the equation is an identity.
1
+
sec
2
(
x
)
sin
2
(
x
)
=
sec
2
(
x
)
is an identity
Step-by-step explanation:
