Answer:
go on photomath
Step-by-step explanation:
Cos(44°) = 90/ x
x = 125.1147
-
the length of the string is 125.1147 feet
Answer:
<u>The future value of the investment after 10 years is $ 29,240.53</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Principal = $ 17,500
Interest rate = 5.2% = 0.052 compounded semiannually
Time = 10 years = 20 semesters
2. What is the future value of the investment after 10 years?
Let's use the formula of the Future Value, to calculate it for this investment:
FV = P * (1 + r) ⁿ
Let's replace with the real values:
FV = 17,500 * (1 + 0.052/2)²⁰
FV = 17,500 * 1.670887521
<u>FV = 29,240.53</u>
Answer:
The number of wrapping paper sold was 32 and the number of magazines sold was 40
Step-by-step explanation:
Let
x ----> the number of wrapping paper sold
y ----> the number of magazines sold
we know that
The classes sold 72 items
so
----> equation A
The classes earned $222 for their school
so
----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
using a graphing tool
The solution is (32,40)
see the attached figure
therefore
The number of wrapping paper sold was 32 and the number of magazines sold was 40
The distance between the focus and directrix is, in this case, 8. Since the directrix is at x= something, the parabola opens sideways, and since the directrix is on the left, to the right. In which case, y^2=p(x), where p is 4 times distance of half of distance between directrix and focus, so the answer is y^2=16x
