Answer:
408 cm^3
Step-by-step explanation:
You have to find the volume of each object individually. You first find the volume of the sphere, so you input the radius, which is 3, into the equation which comes out to be 108 cm^3. You then have to find the volume of the cylinder, and since you have the diameter of the cylinder, and you need the radius, and the radius is half of the diameter, you would input 5 into the equation as the radius, since half of 10 is 5. That comes out to be 300 cm^3, so then you add the two volumes together, which is 408 cm^3
You just need to multiply 185 by 3. 185 x 3 = 555
The units digit of the given exponential expression will be 6
<h3>Determining the units digit of an exponential expression</h3>
From the question, we are to determine the units digit of the given exponential expression
The given exponential expression is
4⁸⁰⁰
We know that
4¹ = 4
4² = 16
4³ = 64
4⁴ = 256
4⁵ = 1024
4⁶ = 4096
From above, we can observe that the units digit of the odd exponents is 4 while the units digit of the even exponents is 6.
The exponent of the given expression is 800. 800 is an even number.
Hence, the units digit of the given exponential expression will be 6
Learn more on Determining units digits here: brainly.com/question/15419249
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Answer:
2,995 or 35,940(?)
Step-by-step explanation:
I don't exactly remember how to do this so, I'll show you two different ways I solved this
Use the formula I=P*r*t
I=Interest
P=Principal
r=rate
t=time
To solve this you'll have to...
The principal is 29,950, the rate is 5% but it'll become a decimal which is 0.05, and the time is 2
Put it into the formula form 29,950*0.05*2= 2,995 in interest
Or...
You'll use the same formula, but this time multiply 0.05 by 12 since there are 12 months in one year which is 0.6, so...
29,950*0.6*2=35,940 in interest
I hope one works!