The balance after one year is $5200
Step-by-step explanation:
The formula to apply here is
where
A=Amount of money at the end of the period=?
P=the amount of money invested= $5000
r=rate of interest=4%=0.04
n=number of compounding per year=1
t=time in years=1
Applying the formula
A=$5200
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Compound Interest: brainly.com/question/12148233
Keywords : interest, compounded annually
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Area as a function of length can be written as
f(l) = l^2
And volume of cube can be expressed as a function of side s as,
f(s) = s^3
Answer:
Part c: Contained within the explanation
Part b: gcd(1200,560)=80
Part a: q=-6 r=1
Step-by-step explanation:
I will start with c and work my way up:
Part c:
Proof:
We want to shoe that bL=a+c for some integer L given:
bM=a for some integer M and bK=c for some integer K.
If a=bM and c=bK,
then a+c=bM+bK.
a+c=bM+bK
a+c=b(M+K) by factoring using distributive property
Now we have what we wanted to prove since integers are closed under addition. M+K is an integer since M and K are integers.
So L=M+K in bL=a+c.
We have shown b|(a+c) given b|a and b|c.
//
Part b:
We are going to use Euclidean's Algorithm.
Start with bigger number and see how much smaller number goes into it:
1200=2(560)+80
560=80(7)
This implies the remainder before the remainder is 0 is the greatest common factor of 1200 and 560. So the greatest common factor of 1200 and 560 is 80.
Part a:
Find q and r such that:
-65=q(11)+r
We want to find q and r such that they satisfy the division algorithm.
r is suppose to be a positive integer less than 11.
So q=-6 gives:
-65=(-6)(11)+r
-65=-66+r
So r=1 since r=-65+66.
So q=-6 while r=1.
Answer:
Option (A)
Step-by-step explanation:
The Barnard's Star is usually considered to be a red dwarf, that is approximately six light-years away from the location of earth. It is present in the Ophiuchus constellation and forms the 4th proximate star to the sun.
Altair refers to the bright shining star present in the Aquila constellation. It forms the 12th brightest star that occurs in the night sky.
Spica is one of the proximate stars to the earth and that is extremely large having a mass of almost ten times the mass of the sun.
The mass of Barnard's star is= 2.864 × 10^29 kg
The mass of the Altair is= 3.56 × 10^30 kg
The mass of the Spica= 19.89 × 10^30 kg
The arrangement of these given stars in the increasing order are as follows-
Barnard's star (minimum) < Altair star < Spica star (maximum)
Hence, the correct answer is option (A).
