Answer:
4th and 5th
Step-by-step explanation:
Answer:
Best return is 8.9% compounded monthly
Step-by-step explanation:
A = P(1 + r/n)^nt
A = Pe^rt
9.0% compounded annually A = 1000(1 + 0.09/1)^(1)(1) = $1090.00
8.9% compounded annually A = 1000(1 + 0.089/12)^(12)(1) = $1092.72
8.8% compounded continually A = 1000e^(0.088)(1) = $1091.99
Note 8.9% interest compounded continuously nets $0.36 more per year than compounded monthly at the same interest rate.
<u>Given</u>:
The radius of the circle is 4 cm.
The angle of the sector JKL is 135°
We need to determine the area of the sector JKL
<u>Area of the sector:</u>
The area of the sector can be determined using the formula,

Substituting
,
, we get;




Thus, the area of the sector is 18.84 cm²
Answer:
Ishaan is 21. Christopher is 7.
Answer:
Angle A: 28 degrees
Angle B: 24 degrees
Step-by-step explanation:
Hi there!
The angle that measures 52 degrees (angle DCA) is one of the exterior angles of a triangle. An exterior angle of a triangle is equal to the sum of the opposite interior angles, which in this case would be angles A and B. Knowing this, we can set up the following equation:

<u>1) Solve for y</u>

Combine like terms

Add 4 to both sides to isolate 7y

Divide both sides by 7

Therefore, y is equal to 8.
<u>2) Solve for angles A and B</u>
Angle A:

Angle B:

I hope this helps!