Answer:
$10,000
Step-by-step explanation:
Let b represent the amount invested in bonds. Then 50,000 - b wil be the amount invested in stocks. Molly's total return is ...
0.15b + 0.18(50000-b) = 8700
-0.03b +9000 = 8700 . . . . simplify
300 = 0.03b . . . . . . . . . . . . add .03b-8700
10,000 = b . . . . . . . . . . . . . divide by 0.03
Molly invested $10,000 in bonds.
<span>The line that slopes downward (in blue) is the boundary line y = -x+5. The inequality y >= -x+5 will have a solid boundary line with shading above this line.
The red line sloping upward is the boundary line y = 3x-4. The inequality y <= 3x-4 means we shade below the red line
The two shaded regions from the inequalities will overlap to get region C.
Answer: Region C</span>
Answer:
$151.34
Step-by-step explanation:
First, Karla starts with $138.72.
Then Karla writes checks for $45.23 and $18.00. This means the money will be withdrawn, so let's subtract these from the total.
$138.72 - $45.23 - $18.00 = $75.49
Now, Karla has $75.49 in her account.
However, a $75.85 deposit is made to her account. So let's add this back to the total.
$75.49 + $75.85 = $151.34
So after all the transactions, Karla has $151.34 in her checking account.
Step-by-step explanation:
(-2a² + s)(5a² - 6s)
= (-2a²)(5a²) + (-2a²)(-6s) + (s)(5a²) + (s)(-6s)
= -10a⁴ + 12a²s + 5a²s - 6s²
= -10a⁴ + 17a²s - 6s². (1st option)
9514 1404 393
Answer:
J p = 8t +12
Step-by-step explanation:
You can see that the p-values have differences of 8, while the t values have differences of 1. That means the "rate of change" is 8/1 = 8. This will be the coefficient of t in the equation you're looking for.
Only one answer choice has 8t as part of the equation:
p = 8t +12
______
<em>Additional comment</em>
If you decide to try the values of t in the offered choices, it often works to start with the second value of t. The answer choices are sometimes tailored to match for the first value in the table. Usually the second value of t will quickly identify the correct one.
For t=2, ...
F: p = 20·2 = 40 ≠ 28
G: p = 11·2 = 22 ≠ 28
H: p = 20·2 +12 = 52 ≠ 28
J: p = 8·2 +12 = 28 . . . . the correct choice
