Step-by-step explanation:
-2x³ + 14x² + 120x
= -2x(x² - 7x - 60)
= -2x(x - 12)(x + 5).
The other 2 dimensions are -2x and (x + 5).
When using a graphing calculator to maximise the volume of the prism, we get x = 7.378. However this value is not reasonable as it makes -2x and (x - 12) negative, which are the sides of the prism.
Answer:
48 ways
Step-by-step explanation:
There are 52 cards in a deck and four nines. This means that nines account for 4/52 of the deck. The opposite of 4/52 (idr the math word for that) is 48/52. Therefore, there are 48 other ways that a card other than nine can be obtained.
Answer:
OB.
Step-by-step explanation:
you first find the common denominator of the two fractions. then u start dividing each denominator into the common denominator u chose and multiplying the answer with the numerator
What we know:
Acct. balance A (11)= $2,976.45
Pricipal=$1,963.45
Compounded (n)=quarterly (4)
rate=r
Compound interest formula: A (t)=p (1+r/n)^nt
What we need toi find:
If the interest compounds quarterly, what is the interest rate on the account? Find r.
A (t)=p (1+r/n)^nt
2976.45=1963.45 (1+r/4)^(4×11)
2976.45=1963.45 (1+r/4)^44
2976.45/1963.45=1963.45/1963.45 (1+r/4)^44
1.5159=(1+r/4)^44
(1.5159)^(1/44)=((1+r/4)^44)^(1/44)
1.0095=1+r/4
1.0095-1=1-1+r/4
.0095=r/4
.0095(4)=r/4 (4)
.038=r
Rate = 3.8%
Answer:
Step-by-step explanation:
