Diameter = 8 yards so the Radius = 4 yards:
Area of a sphere = 4π.R² and hemisphere = 2π.R²
Area of hemisphere = 2.π.(4)² = 32.π
But note we didn't calculate yet the are that closes this hemisphere:
Area of the cicle = π.R² = π.(4)² = 16.π, so the surface area of the hemisphere is 32π + 16π = 48.π (Or =150.8 yard²)
Answer:
The answer would be f(a)=-1
-AC I hope this helps<3
The new loan amount is $113,797
What is compound interest?
Compound interest is the interest imposed on a loan or deposit amount. It is the most commonly used concept in our daily existence. The compound interest for an amount depends on both Principal and interest gained over periods. This is the main difference between compound and simple interest.
We can find new loan amount as shown below:
Total amount of loan=4*6,970+4*11,320
=27,880+45,280
=$73,160
Now, we will find new loan amount using compound interest formula.
Amount=
P=$73,160
n=12
t=1 year
r=4.5%=0.045
Putting in formula
Amount
=$113,797.039
Rounding to nearest dollar
=$ 113,797
Hence, new loan amount after one-year grace period is $113.797.
Learn more about Compound Interest here:
brainly.com/question/18483293
#SPJ4
Answer:

Step-by-step explanation:
see the attached figure to better understand the problem
<em>In the right triangle ABC</em>
<em>Find the measure of side AB applying the Pythagoras Theorem</em>

substitute the values



Find the sin(C)
we know that
The function sine of angle C is equal to divide the opposite side angle C by the hypotenuse
so

substitute the values

Simplify

There are 6 kittens when you're deciding which one you want to pick, so there are 6 ways of chosing one. Then, the number of kittens lowers to 5, so there are 5 ways of picking another. At all, there are 30 ways of chosing 2 kittens out of 6.