Answer:
He invested 3,000 at 7% and 4,000 at 9%.
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=7,000 (1)
0.07x+0.09y=570 (2)
You can solve for x in (1)
x=7,000-y (3)
Now, you can replace (3) in (1) and solve for "y":
0.07(7,000-y)+0.09y=570
490-0.07y+0.09y=570
0.02y=80
y=80/0.02
y=4,000
Finally, you can replace the value of "y" in (3):
x=7,000-4,000
x=3,000
According to this, the answer is that he invested 3,000 at 7% and 4,000 at 9%.
Answer:
You would use the formula: Rate = distance / time which equals 55
Since we are asked for the time it takes to reach 3/4 the destination.We just use 3/4 of the value of the distance.
55 = (3/4)(440) / t
t = 6 hours
So the answer would be "C"
Answer:
Sadie's error is " she made error in step 2 
where 
"
Because she made error in splitting the powers to simplify the square root
<h3>Therefore the correct answer for Sadie's expression is
where </h3>
Step-by-step explanation:
Given that " Sadie simplified the expression StartRoot 54 a Superscript 7 b cubed EndRoot, where a greater-than-or-equal-to 0, "
It can be written as 
where
The given expression is where
To find Sadie's error and explain the correct answer :
Sadie's steps are
where
<h3>
where
</h3><h3><u>Now corrected steps are</u></h3>
where 
(by using the identity 
(by using the identity 
)
Therefore 
where
<h3>The correct answer is
where </h3>
Sadie's error is " she made error in step 2 " where
Because she made error in splitting the powers to simplify the square root
<h3>Therefore the correct answer for Sadie's expression is
where </h3>
The y-intercept of the graph of a function is the value of f(0) for any function f.
That is, it is the y-value in the pair (0, y)
The y-intercept of <span>f(x) = 4x + 5 is f(0)=4*0+5=5
The y-intercept of (0, 2) is 2.
The y-intercept of </span>h(x) = 3 sin(2x + π) − 2 is:
h(0) = 3 sin(2*0 + π) − 2=3 sin(π) − 2=3*0-2=-2
<span>Answer: The function f has the greatest y-intercept.
</span>
