Answer:
$4,500
Step-by-step explanation:
For simple interest,
I = prt,
where
I = interest
p = principal
r = annual interest rate
t = number of years
We have p = $5,000, r = 9% = 0.09; t = 1 year
I = $5,000 × 0.09 × 1
I = $450
Answer: 32
Explanation:
The number of leaves in a tree diagram for probabilities is equal to the number of possible outcomes.
Tossing a coin 5 times leads to these results:
First,second, third and fourth tossing are the nodes; and fifth tossing has the leaves.
Root → 2 nodes → 2² nodes → 2³ nodes → 2⁴ → 2⁵ leaves = 32
Those 32 leaves is this sample space:
head-head-head-head-head
head-head-head-head-tail
head-head-head-tail-head
head-head-head-tail-tail
head-head-tail-head-head
head-head-tail-head-tail
head-head-tail-tail-head
head-head-tail-tail-tail
head-tail-head-head-head
head-tail-head-head-tail
head-tail-head-tail-head
head-tail-head-tail-tail
.......... (continue)
And so on until you have included all the possibilities, ending with tail-tail-tail-tail-tail. Those will be 32 outcomes.
Hello from MrBillDoesMath!
Answer:
0
Discussion:
For the quadratic ax^2 + b^x + c, the discriminant is b^2 - 4ac. In our case, the discriminant is
(-20)^2 - 4 (4)(25) =
400 - 4 (100) =
0
(This means the polynomial has a duplicate root. In fact it factors as (2x-5)^2 ).
Thank you,
MrB
Hello :
<span>If f(x)=x/2-2 and g(x)=2x^2+x-3, find (f+g)(x)
</span>(f+g)(x)= f(x) +g(x) = x/2-2 +2x²+x-3 = x/2 +2x²+x-5
(f+g)(x)= (x+4x²-2x-10) /2
(f+g)(x)= (4x²+3x-10)/2 = 2x²+3/2 x -5
