So the original area is 300*150 (or 45000 ft^2), but now the new area is (300+3y)(150+3y).
The polynomial in standard form would be 45000+900y+450y+9y^2=45000+1350y+9y^2
But the proper way to write it is 9y^2+1350y+45000
When y=4, we get 9(4^2)+1350(4)+45000=9(16)+54000+45000=144+99000=99144
So the new area would be 99144 ft^2
Hope this helped!
The answer would be 2 2/3.
That is because if you multiply the reciprocal of 1/4 on both sides you'll be left with 8/3 and 8/3 simplified is 2 2/3.
Hope this helps :)
Answer: She was off by 25%
Step-by-step explanation: I used proportions to solve this. 100% and 8 are the same because 100% was what she thought the weight of the cat was. So this is one side of the proportion. The other side, we need a variable which is X. X is the unknown percentage. X is equal to 10. I then did 100% x 10 which is 1000 then divided it by 8 which is equal to 125%. 125% - 100% = 25%.
if we devide 100m÷1000n
wewill get 1/10 that might become z
Answer:
10.4%
Step-by-step explanation:
Sung Lee invests $3,000 at age 18.
He hopes the investment will be worth $6,000 when he turns 25, that is, after 7 years.
The interest compounds (Compound Interest). The formula for the final amount in a compound interest is:
where P = Principal (Amount invested) = $3000
A = final amount = $6000
R = rate
T = number of years = 7 years
This implies that:
Find the 7th root of 2:
![\sqrt[7]{2} = (1 + R)\\\\1.104 = (1 + R)\\\\=> R = 1.104 - 1\\\\R = 0.104](https://tex.z-dn.net/?f=%5Csqrt%5B7%5D%7B2%7D%20%3D%20%281%20%2B%20R%29%5C%5C%5C%5C1.104%20%3D%20%281%20%2B%20R%29%5C%5C%5C%5C%3D%3E%20R%20%3D%201.104%20-%201%5C%5C%5C%5CR%20%3D%200.104)
=> R = 10.4%
Hence, the rate would need to be 10.4% for him to achieve his goal.
