T=8√t
T=temperature
t=time in minutes.
If T=48, we have to calculate the time.
48=8√t
(48)²=(8√t)²
2304=64t
t=2304 / 64=36
answer: 48 degrees Celsius will be reached in 36 minutes.
Answer:
length = 78 m , width = 27 m
Step-by-step explanation:
let w represent width then length l = 3w - 3
the perimeter (P) is calculated as
P = 2l + 2w = 210 , substitute values
2(3w - 3) + 2w = 210 ← distribute parenthesis and simplify left side
6w - 6 + 2w = 210
8w - 6 = 210 ( add 6 to both sides )
8w = 216 ( divide both sides by 8 )
w = 27 and l = 3(27) - 3 = 81 - 3 = 78
Then length = 78 m and width = 27 m
Answer: 9 in
Step-by-step explanation:
Answer:
Five more than the square of a number= 5 + x²
Five more than twice a number = 5 + 2x
Five less than the product of 3 and a number = 3x - 5
Five less the product of 3 and a number = 5 -3x
Twice the sum of a number and 5 = 2(x + 5)
The sum of twice a number and 5 = 2x + 5
The product of a cube of a number and 5= 5x³
The cube of the product of 5 and a number= (5x)³
The person would have to leave the money in the bank for 7.8 years for it to reach 13,500 dollars.
Step-by-step explanation:
Step 1; First we must calculate how much interest is generated for a single year. The annual interest rate is 4.5% i.e. 4.5% of 10,000 dollars which equals 0.045 × 10,000 = 450 dollars a year. As the years pass, more and more will be put into the account due to interest.
Step 2; For there to be 13,500 dollars in the bank account we need to calculate how much money is added due to interest.
The money needed to be added through interest = 13,500 - 10,000 = 3,500 dollars.
So we need to determine how long it will take for the bank to add 3,500 dollars by adding 450 dollars a year.
The number of years to reach 13,500 dollars = 
= 7.777 years. By rounding this value to the nearest tenth, we get 7.8 years.
