Answer:
of an hour is remaining for Mariko's social studies class
Step-by-step explanation:
Given:
Total duration of Mariko's social studies class = 5/6 of an hour.
Only 3/12 of an hour has passed.
To Find:
Fraction of an hour remains for Mariko's social studies class =?
Solution:
Converting into minutes
5/6 of an hour =
=>
=>50 minutes
So the total duration of Mariko's social studies = 50 minutes
If 3/12 of an hour passes means
Converting into minutes
=>
=>
=>
=> 15 minutes
15 minutes has passed
Remaining time left is
50 minutes - 15 minutes = 35 minutes left
Now converting into 35 minutes into hours we get
=>
=>
Answer:
$3087.35
Step-by-step explanation:
<u>Compound interest formula</u>
where:
- A = final amount
- P = principal
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- P = $1500
- r = 6.2% = 0.062
- n = 1
- t = 12 years
Substituting given values into the equation and solving for A:
Answer:
54/120
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
Given:
<span>x^2 + y^2 + z^2 + 2x − 2y − 2z = 22
group the variables
x^2+2x + y^2-2y +z^2-2z = 22
then complete the squares
x^2+2x+1 </span>+ y^2-2y+1 + z^2-2z+1 = 22 +1 +1 +1
factor and simplify
(x+1)^2 + (y-1)^2 + (z-1)^2 = 5^2
Interpretation:
The centre of the sphere is at (-1,1,1) with a radius of 5