Answer:
$150
Step-by-step explanation:
Answer:
788.13 to the nearest hundredth.
Step-by-step explanation:
Let A be the total amount in the account after 3 years.
The formula is A = P(1 + x/100)^t .
Here P = 5000, x = 5 % and the time t = 3. years.
Amount after 3 years = 5000(1 + 5/100)^3
= 5788.13
So the Interest is 5788.13 - 5000
= 788.13.
Subtract 32 to both sides to the equation becomes -5x^2 + 7x + 9 = 0.
To solve this equation, we can use the quadratic formula. The quadratic formula solves equations of the form ax^2 + bx + c = 0
x = [ -b ± √(b^2 - 4ac) ] / (2a)
x = [ -7 ± √(7^2 - 4(-5)(9)) ] / ( 2(-5) )
x = [ -7 ± √(49 - (-180) ) ] / ( -10 )
x = [ -7 ± √(229) ] / ( -10)
x = [ -7 ± sqrt(229) ] / ( -10 )
x = 7/10 ± -sqrt(229)/10
The answers are 7/10 + sqrt(229)/10 and 7/10 - sqrt(229)/10.
The GCF of 33c and 55cd is
33c/11c = 3
55cd/11c = 5d
the greatest common factor is 11c
hope this helps