Answer:
16.5 square units
Step-by-step explanation:
You are expected to integrate the function between x=1 and x=4:

__
<em>Additional comment</em>
If you're aware that the area inside a (symmetrical) parabola is 2/3 of the area of the enclosing rectangle, you can compute the desired area as follows.
The parabolic curve is 4-1 = 3 units wide between x=1 and x=4. It extends upward 2.25 units from y=4 to y=6.25, so the enclosing rectangle is 3×2.25 = 6.75 square units. 2/3 of that area is (2/3)(6.75) = 4.5 square units.
This region sits on top of a rectangle 3 units wide and 4 units high, so the total area under the parabolic curve is ...
area = 4.5 +3×4 = 16.5 . . . square units
Joni’s total interest earned is 0.125% of her investment.
<u>Solution:</u>
Given that
Interest earned by Joni per day = $0.625
Investment done by Joni = $1000
Duration of earning interest = 2 days
Total interest earned = interest earned by Joni
duration of interest earned.
= 0.625
2 = $1.25


So Joni’s total interest earned is 0.125% of her investment.
Answer:
k = 2
Step-by-step explanation:
Fill in the given point values and solve for k.
y = (1/2)x + k
1 = (1/2)(-2) +k . . . . . . for x = -2, y = 1
1 = -1 +k . . . . simplify; next, add 1
2 = k
Answer:
Step-by-step explanation:
We'll go part by part.
"15 is equal to" so simple enough 15= now what is it equal to?
9 more than a number. Well what does that mean? it might help if we try out an actual number. What is 9 more than 3? 12, so another way of writing that is +9. It's not telling us the number we are adding 9 to so it's a variable. So we'll say x + 9.
This leaves us with 15 = x + 9, which you could even solve.
Answer:
-8y^7 - 5y^6 + 9y^5 + 3y^4 - 4y^3
Step-by-step explanation:
Please be sure to use " ^ " to indicate exponentiation. Then,
your 9y5−4y3−8y7−5y6+3y4 becomes 9y^5 - 4y^3 - 8y^7 - 5y^6 + 3y^4.
We must now write that in descending order by powers of y:
-8y^7 - 5y^6 + 9y^5 + 3y^4 - 4y^3