Cos (x) = adj/hyp
cos (x) = 13/25
x = cos⁻¹(13/25)
x= 58.7° (nearest tenth)
She should invest $6491.73.
The equation we use to solve this is in the form

,
where A is the total amount in the account, p is the principal invested, r is the interest rate as a decimal, n is the number of times per year the interest is compounded, and t is the amount of time.
A in our problem is 14000.
p is unknown.
r is 6% = 6/100 = 0.06.
n is 2, since it is compounded semiannually.
t is 13.
Answer:
x=18
Step-by-step explanation:
set up the equation:
DBC+DBC=ABC
79+79=(9x-4)
Simplify both sides of the equation.
79+79=9x−4
79+79=9x+−4
(79+79)=9x−4(Combine Like Terms)
158=9x−4
158=9x−4
Flip the equation.
9x−4=158
Add 4 to both sides.
9x−4+4=158+4
9x=162
Divide both sides by 9.
9x
/9 = 162
/9
x=18
Answer:
The formula for calculating the percent change in a value between two points in time is:
p
=
N
−
O
O
⋅
100
Where:
p
is the percent change - what we are solving for in this problem.
N
is the New Value - 5 in this problem.
O
is the Old Value - 4 in this problem.
Substituting and solving for
p
gives:
p
=
5
−
4
4
⋅
100
p
=
1
4
⋅
100
p
=
100
4
p
=
25
There was a 25% increase from 4 to 5.
Step-by-step explanation: