Answer:
Answer down below!
Step-by-step explanation:
−12x+14=−10x−8
Step 1: Add 10x to both sides.
−12x+14+10x=−10x−8+10x
−2x+14=−8
Step 2: Subtract 14 from both sides.
−2x+14−14=−8−14
−2x=−22
Step 3: Divide both sides by -2.
−2x
−2
=
−22
−2
x=11
Answer:
$13,000 at 7% and $12,000 at 4%
Step-by-step explanation:
Use formula:
where
I = interest,
P = principal,
r = rate (as decimal),
t = time (in years)
<u>7% rate:</u>
P = $x
r = 0.07
t = 1 year
Then
<u>4% rate:</u>
P = $(25,000 - x)
r = 0.04
t = 1 year
Then
If he receives an annual return of $1,390, then
so
Answer: 39 pounds of type A coffee were used.
Step-by-step explanation:
Let x represent the number of pounds of type A coffee that were used in the blend.
Let y represent the number of pounds of type B coffee that were used in the blend.
Type A coffee costs Lena $5.70 per pound, and type B coffee costs $4.25 per pound. The total cost of the mixture is $885.30. It means that
5.7x + 4.25y = 885.3- - - - - - - - - -1
This month's blend used four times as many pounds of type B coffee as type A. It means that
y = 4x
Substituting y = 4x into equation 1, it becomes
5.7x + 4.25 × 4x = 885.3
5.7x + 17x = 885.3
22.7x = 885.3
x = 885.3/22.7
x = 39
y = 4x = 4 × 39
y = 156
The answer is 2 3 and 6 hope it helped!!
Answer:
C
Step-by-step explanation:
We are given that:
And we want to find:
Therefore, we will substitute the equation for g(x) for the <em>x</em> in f(x). This yields:
Simplify:
Hence, our answer is C.