1. 2700 degrees. 450 rotations in on minute is 450(360) degrees per minute. If you divide this by 60 you get 2700.
2. 180 degrees. 4.3 rotations per minute is 4.3 times 360 degrees per minute. Multiply that times 5, and divide the answer by 360 and you get 21.5, which means he is 180 degrees from his starting point.
-1 = z/3 - 7
Emily's Work:
-1 = z/3 - 7
-1(3)=z/3(3)-7
-3 = z - 7
-3 -7 = z - 7
z = -10
Right away without having to start at the beginning, I see that she has made a mistake at the 4th-5th line of work.
Instead of adding 7 to both sides, she subtracts it and still leaves it in and doesn't fully finish the equation, as it would really be z-7 = -10
In order to solve it, follow these steps:
Rewrite the initial equation as follows:
x/3 - 7 = -1
Multiply both sides by 3
x/3(3)-7(3)=-1(3)
x - 21 = -3
Add 21 to both sides
x = 18
Answer: ml, mn, ln, nl, nm, lm,
Step-by-step explanation:
Move 6x to the right side
2y = -6x - 14
Divide all numbers by 2 to isolate the variable
2y/2 = -6x/2 - 14/2
y = -3x - 7
Answer:
a)$1628.90
b)$1647.00
c)$1648.72
Step-by-step explanation:
The question is on compound interest.
The formula to apply here is;

where
- P=principal /beginning amount
- r=interest rate as a decimal
- n=number of compoundings a year
- t=total number of years
a) If compounded annually, n=1
p=$1000, r=5%=0.05 t=10
Amount will be;

Amount=$1628.90
b) If compounded monthly, n=12
p=$1000, r=5%=0.05, t=10, n=12

Amount=$1647.00
c)If interest compounded continuously, it means the principal is earning interest constantly and the interest keeps earning on the interest earned.Here the formula to apply is;
A=Pe^rt where e is the mathematical constant e=2.71828182846
Hence the amount will be;

Amount=$1648.72