Hello from MrBillDoesMath!
Answer:
prime factorization of sqrt( 5^4 x 7^2) = (5^2) *7
prime factorization of sqrt(2^6 x 11^10) = (2^3) * (11^5)
Discussion:
sqrt( 5^4 x 7^2) = 5^2 * 7 => as 5 and 7 are prime numbers
prime factorization = 5^2 *7
sqrt(2^6 x 11^10) = 2^3 * 11^5 => as 2 and 11 are prime numbers
prime factorization = 2^3 * 11^5
Thank you,
MrB
Answer: No, the money won't be enough to buy the car
Step-by-step explanation:
you plan on buying yourself a new $20,000 car on graduation day and graduation day is 24 months time. If you invest $300 a month for the next 24 months.
The principal amount, p = 300
He is earning 4% a month, it means that it was compounded once in four months. This also means that it was compounded quarterly. So
n = 4
The rate at which the principal was compounded is 4%. So
r = 4/100 = 0.04
It was compounded for a total of 24 months. This is equivalent to 2 years. So
n = 2
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount that would be compounded at the end of n years.
A = 300(1 + (0.04/4)/4)^4×2
A = 300(1 + 0.01)^8
A = 300(1.01)^8
A = $324.857
The total amount at the end of 24 months is below the cost of the car which is $20000. So he won't have enough money to buy the car
Answer:
22 degrees
Step-by-step explanation:
Since both triangles correspond, side x is correspondent to 22 degrees, Since that is also the only given piece of information, that is your answer.
Answer:
Final exam, Homework, Projects, quizzes
Step-by-step explanation:
15% is the lowest, 1/5 is 20% so that's next, 25% is the next largest, and 0.4 is 40%
Answer:
x = log(1/g^6)/log(g) + (2 i π n)/log(g) for n element Z
Step-by-step explanation:
Solve for x:
g^x + 1/h^3 = 1/g^6 + 1/h^3
Subtract 1/h^3 from both sides:
g^x = 1/g^6
Take the logarithm base g of both sides:
Answer: x = log(1/g^6)/log(g) + (2 i π n)/log(g) for n element Z
