The maximum area that David can have is 10,000 yd^2
Area of a rectangleThe formula for calculating the area of a rectangle is expressed as:
A = lw
l is the lengthw is the widthIf David has 400 yards of fencing, then;
P = 2(l +w)
400 = 2( l+ w)
200 = l + w
l = 200 - w
Substitute into the area
A = (200-w)w
A = 200w - w^2
If the area is maximized, then;
dA/dw = 0
dA/dw = 200 - 2w
2w =200
w = 100 yards
Recall that;
200 = l + w
l = 200 - 100
l = 100
The maximum area = 100 * 100
The maximum area = 10,000 yd^2
The maximum area that David can have is 10,000 yd^2
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Can someone check this?
t = 0.06p
================================================
Explanation:
If we plugged in p = 2, then,
t = 0.06*p = 0.06*2 = 0.12
Showing that the point (2, 0.12) is on the diagonal line of the equation t = 0.06p
This matches with what the graph shows.
The y axis is incrementing by $0.025, aka 2.5 cents, each tickmark upward. Counting up 5 tickmarks will get you to $0.125 or 12.5 cents which is fairly close to 12 cents.
When you divided the x and y values to find the constant of variation, you divided in the wrong order. You should do y/x instead of x/y.
Jaime needs to buy a new refrigerator for his apartment. He found what he needed for $1,300 at a well-known appliance store. The store is offering two options for Jaime to finance the appliance:
Option I: A store credit card with a $1,500 limit:
1) The credit card charges 16.5% annual interest rate.
2) The minimum monthly payment is $100 plus the monthly finance charge.
3) No down payment required
4) The loan is expected to be paid off in12 months to avoid additional penalties.
Option II: The appliance store offers an installment loan for his purchase:
1) Loan charges a simple interest rate of 12.5%.
2) Loan must be paid off in 12 equal payments to avoid penalties.
3) A $300 down payment is required.
Jamie should accept the second option to buy a new refrigerator for his apartment.
What is the annual interest rate?The annual interest rate on an amount borrowed or a loan is the increment added to the loan at a particular rate over the desired period of time.
The objective of this question is to weigh the two options and determine the best means by which Jamie could get a new refrigerator for his apartment.
Option 1:
The annual interest rate for the first card = $1300 × 16.5%
The annual interest rate = $214.5
The minimum monthly payment is $100 plus the monthly finance charge.The monthly finance charge on a credit card can be estimated by finding the average daily balance using the Annual interest rate and the days of the billing cycle.
The monthly finance charge [tex]\mathbf{=1300\times \dfrac{0.165}{12}}[/tex]
The monthly finance charge = $17.88
Now,
The minimum monthly payment is $100 + $17.88
The minimum monthly payment for the first month = $117.88
Provided there is no down payment;In 12 months, Jaime would have paid off the loan with an additional interest of $214.5
Total amount paid = ($117.88 × 12)+$247.5
= $1629.06
Option 2.
The appliance store offers an Installment loan;
The loan charges a simple interest rate of 12.5%;Using;
[tex]\mathbf{S.I = \dfrac{PRT}{100}}[/tex]
Since the loan must be paid in 12 equal payments, we can say the loan is paid monthly which is equivalent to 1 year.
i.e.
Time (T) = 1 year[tex]\mathbf{S.I = \dfrac{1300 \times 12.5 \times 1}{100}}[/tex]
S.I = $162.5
Given that;
The down payment = $300In the total amount of $1300, Jamie has an outstanding amount of $1000 to pay.
Thus, In 12 equal payment times,
Jamie gets to pay = $1000/12
Jamie gets to pay = $83.33 each time.
Total amount paid = $162.5 + 1300
Total amount paid = $1462.5
Therefore, we can conclude that Jamie should accept the second option to buy a new refrigerator for his apartment since the total amount paid in option 2 is lesser than that of option 1.
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Please answer the question the file is attached below and please answer fast
Answer:
y = -4x + 5
Step-by-step explanation:
choose 2 easy-to-read points on the line: (0, 5) and (2, -3)
Because we have chosen the point that intersects the y-axis (0, 5) we know that the y-intercept of the line is 5.
Using equation of a line in slope-intercept form: y = mx + b (where m is the slope and b is the y-intercept):
The slope of the line = change in y ÷ change in x = (-3 - 5) ÷ (2 - 0) = -4
Therefore, y = -4x + 5
which binomial must be added to (-2r+12) so the the sum of 2 polynomial is (6r-7)
a.) 4r-19
b.) 4r+5
c.) 8r-19
D.)8r+5
Answer:
c) 8r - 19
Step-by-step explanation:
Subtract 6r - 7
- -2r + 12
= 8r - 19
Answer:8r-9 or c
Step-by-step explanation:
After earning your first $1000, you deposit the whole amount—$1000—into an account that grows at an interest rate of 12% annually. The earned interest is calculated and added to the account once a year.
Which function represents the amount of money in the account after t years?
(Assume that you do not make any additional deposits or withdrawals.)
Answer:
b f(t)=1000(0.12)ť
Step-by-step explanation:
Also that 1000 dollars will be 1,120 because of interest
What is
21.9% of 44,700
Answer:
9,789.30
Step-by-step explanation:
44,700 x .219 = 9,789.30
will give 50 points!!
What is the length of the line segment PQ on the coordinate grid?
A four-quadrant coordinate grid from negative 50 to positive 50 in increments of 10 is drawn. Point P is plotted on the ordered pair negative 20, 30. Point Q is plotted on the ordered pair 30, 30. The points are connected by a line.
10 units
20 units
30 units
50 units
Answer:
50 units
Step-by-step explanation:
The y-coordinate of both points is 30. Therefore, the line connecting the points is horizontal. To calculate the length of the line segment PQ, simply subtract the x-coordinate of point P from the x-coordinate of point Q:
30 - -20 = 3 + 20 = 50
Answer: 50 units
Step-by-step explanation:
What’s the correct answer for this question?
Answer:
Top left: 0.32
Top right: 0.35
Bottom left: 3.13
Bottom right: 2.86
Step-by-step explanation:
For the small box, we will divide 4.48 by 14 to get the answer for the top left box, and we will divide 14 by 4.48 to get the answer to the bottom left box.
For the large box, we will divide 9.1 by 26 to get the answer for the top left box, and we will divide 26 by 9.1 to get the answer to the bottom left box.
4.48/14 = 0.32
14/4.48 = 3.125, or as rounded to the nearest hundredth, 3.13.
9.1/26 = 0.35
26/9.1 = 2.85714285714 or as rounded to the nearest hundredth, 2.86.
So there you go.
Find the length of a rectangle given that the perimeter is 32 feet and the length is 1 foot more than four times the width.
Answer:
Length = 13
Step-by-step explanation:
P = 2L + 2W
L = 4W + 1
P = 32
32 = 2(4W +1) + 2W
32 = 8W + 2 + 2W
30 = 10W
W = 3
L = 4(3) + 1
L = 12 + 1
L = 13
which property justifies a+b+0=a+b
It is the additive identity property of zero.
What solution value satisfies the compound inequality x - 1 < -7 or x/4 > 1?
Answer:
x < -6 or x > 4
Step-by-step explanation:
Now, this is an OR inequality, so two separate equations are involved.
x - 1 < -7
Here, we need to add -1 to -7, which results in -6. And there's side one!
x < -6
Now for side two of this inequality.
x/4 > 1
Here, we'll multiply both sides by 4. And now, both sides are solved.
x > 4
The solution values (rather than value) that satsify the equation are x < -6 or x > 4 (so, anything between (and including) -6 and 4 will not work).
Each player on a softball team will get a uniform with a randomly selected
number between 1 and 30. No two players will have the same number.
The first player to get a uniform thinks the probability that she will
get a single-digit number is 10 Is the player correct? Explain
your reasoning.
9
Answer:
no she is incorrect!
Step-by-step explanation:
there are 30 shirts so the probabilty will be out of 30%
Please answer both question fully.
Step-by-step explanation:
Part AAngle measures:
a = x = z = 51° (as vertical angles and corresponding angles)b = d = y = w = 180° - 51° = 129° (as supplementary angles and corresponding angles)Part BSupplementary angles for a linear pair and sum to 180°.
Examples are:
a and b or a and d orx and y etc.Solution:
Given:
An angle which measures 51°Using the given measure of an angle, we can identify all the angles.
a° = 51° (Vertically opposite angles)b° = 180 - 51 = 129° (180° angle)d° = b° = 129° (180° angle)w° = 129 (Alternate inner angles)x = a = 51° (Alternate inner angles)z = x = 51° (Vertically opposite angles)w = y = 129° 9 (vertically opposite angles)We can tell that:
a = x = z = 51°b = d = w = y = 129°Supplementary angles are pairs of angles that sums up to 180°.
Example of supplementary angle:
∠a and ∠b are supplementary angles because they sum up to 180°.The perimeter of a square is 28x − 4. What is the length of one side of the square?
Look at the picture this thing doesn’t make sence
Answer:
C.
Step-by-step explanation:
power to a power u multiply
Reflect the figure over the line y
=x+1
Answer:
Points of the triangle: (-6, 3) (-3, 9) (-7, 8)
Step-by-step explanation:
(2, -5) → (-6, 3)
(8, -2) → (-3, 9)
(7, -6) → (-7, 8)
y
4
3-
2
1
1
2
-4
-3
-2
-1
1
2
3
4
-1-
-2-
-3-
-4
What is the slope of the line?
Answer:
no x values?
no line equation?
Step-by-step explanation:
i don't think you can find the slope without x values. the formula to find the slope of a line is:
(y1 - y2) / (x1 - x2)
Write acute right or obtuse
Answer:
3 is acute, 4 is obtuse
Step-by-step explanation:
3, all angles are less than 90 degrees
4, one of the angles (M) is more than 90 degrees
Answer:
3. Acute angle
4. Obtuse angle
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
$165
Step-by-step explanation:
....................
how many values are in the range 17 to 118?
A- 102
B- 135
C- 100
D- 67.5
Answer:
C- 100 values
Step-by-step explanation:
Answer:
102
Step-by-step explanation:
118-17+1 = 102
Which expression represents"6 more than x"?
Answer: x + 6
Step-by-step explanation:
The expression that represents 6 more than x is x + 6.You can also rewrite this as 6 + x, but there is no need.
Please accept my friend request.
Also, Can I please get BRAINLIEST?
Gizmos come in a carton. A carton holds 6 packages. Each package holds 10 small boxes. Each small box holds 12 gizmos. How many gizmos come in a carton?
Group of answer choices
720 gizmos
830 gizmos
640 gizmos
Answer:
720
Step-by-step explanation:
i used a calculator box = 12 gizoms 1 package =10 boxes
12x10 = 120. 120 x 6 = 720
find average of first 5 multiples of 4
Answer:
Ans- The mean of first 5 multiples of 4 is 12.
Answer:
12Step-by-step explanation:
The first 5 multiples of 4 are:
4 , 8, 12, 16 and 20Their average is:
(4 + 8 + 12 + 16 + 20)/5 = 1215 points!!
I need 10-18 if you know any please help me out!!
Step-by-step explanation:
10.
angle QUR must be 180-41 = 139°
the reason : all angles on one side of the line QS around a single point (like U) must be 180°, as this represents a half-circle.
11.
the angle RUQ is larger.
the angle TUS is 90°.
therefore, SUN is 90° too. as well as TUQ and QUN.
the angle TUR is then TUS + 41 = 90+41 = 131°
and we know from 10. that QUR (or RUQ) is 139°.
therefore, RUQ is larger.
12.
when 2 lines cross, then the diagonally opposing angles are identical.
therefore,
84 = 4x
x = 21
13.
the same principle as in 10. applies.
all angles in one side of a line around a single point must be 180°.
so,
KMH + 84 = 180
KMH = 96°
14.
EBD = 90°
therefore, also ABE = 90°.
and we can imagine that BE extends straight to the other side of B having a point G there.
and then ABG = DBG = 90° as well.
and because these 90° angles and the principle of 12., we have
ABF = CBD = 90-62 = 28°
therefore,
CBE = CBD + DBE = 28 + 90 = 118°.
15.
ABF = 28°
as we calculated that in 14 already.
16.
due to the principles of 14 and 10 we have
CBA = 180 - CBD = 180 - 28 = 152°.
17.
this is not relevant to any of the pictures before.
angle A = angle B + 4
complementary angles are together 90°.
so,
A + B = 90
now we use the identity of the first equation in this main equation :
(B + 4) + B = 90
2B + 4 = 90
2B = 86
B = 43°
=>
A = B + 4 = 43 + 4 = 47°
18.
again, this is not related to any of the pictures before.
supplementary angles are together 180°.
D = 5E
D + E = 180
5E + E = 180
6E = 180
E = 30°
=>
D = 5E = 5×30 = 150°
SUBTRACT THE FOLLOWING POLYNOMIALS.
1. 2a²b²–(-4a²b²)=
2. 3z–5z–(-6z)=
3. 3m–(4m)=
I think this may be what you are looking for
Please answer the question in the picture
Answer:
D) (x+2) (x+2)
Step-by-step explanation:
Answer:
EZ(we're doing this right now): (x+2)(x+2)
Step-by-step explanation:
Let's factor x2+4x+4
x2+4x+4
The middle number is 4 and the last number is 4.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 4
Multiply together to get 4
Can you think of the two numbers?
Try 2 and 2:
2+2 = 4
2*2 = 4
Fill in the blanks in
(x+_)(x+_)
with 2 and 2 to get...
(x+2)(x+2)
Answer:
(x+2)(x+2)
Dave receives 10% commission on his first
$5,000 in sales and receives 20% commission on
any sales beyond the first $5,000. If Dave sells
$7,000 this month, what will Dave's commission
be for the month?
A. $700
B. $900
C. $1,400
D. $2,100
someone please help!! i would be so thankful! thx to who ever does (hurry please)!
PLS ANSWER AS SOON AS POSSIBLE
-a²-2ax-x²+49 I think this is the answer
8. A study found that 72% (0.72) of people wear their seat belts? If three people
are selected at random, what is the probability that all three people wear their
seat belts?
Answer:
0.373248
Step-by-step explanation:
P(A and B) = P(A) * P(B)
Let's say one person wearing a seat belt is event A, the second person wearing a seat belt is event B, and the third person wearing their seat belt is event C
P(A and B and C) = P((A and B) and C) = (P(A) * P(B)) *P(C) = P(A) * P(B) * P(C)
The probability of each is 0.72. Our answer is therefore 0.72 * 0.72 * 0.72, or 0.72³ = 0.373248
18 + 1/2 x (9-4) which statement describes this expression?
A: Half the difference of 4 from 9 added to 18
B: subtract half the quantity of 9 and 4 from 18
C: the sum of 18 and half the product of 9 and 4
D: half of 9 added to 18 minus 4
Answer:
A: Half the difference of 4 from 9 added to 18
Step-by-step explanation: