Answer:
$16,104.35Step-by-step explanation:
the expression for compound interest is given as
[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]
A=$20,000
P=?
r=7.25%=0.0725
n=52 weeks
t=3 year
[tex]20000= P(1 + \frac{0.0725}{52})^{52*3}\\\\20000= P(1 + \frac{0.0725}{52})^{156}\\\\20000= P(1 +0.00139)^{156}\\\\20000= P(1.00139)^{156}\\\\20000=1.2419P\\\\P=20000/1.2419\\\\P=16104.35\\[/tex]
the manager need to invest $16,104.35
Find the dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm2. (Let x, y, and z be the dimensions of the rectangular box).
Dimensions of the rectangular box with largest volume if the total surface area is given as 4 cm² : (√2/3 , √2/3 ,√2/3)
Given, rectangular box with largest volume.
Let f(x , y , z) = xyz
Ф ≡ xy + yz + xz - 2 = 0
[tex]F =[/tex] [tex]f + \lambda[/tex][tex]\phi[/tex]
[tex]F = xyz + \lambda (xy + yz + xz - 2)[/tex]
[tex]F_x = 0\\yz + \lambda(y + z) = 0......1\\\\F_y = 0\\xz + \lambda(x+z)= 0......2\\\\F_z = 0\\xy + \lambda(x + y) = 0..........3[/tex]
xy + yz + xz - 2 = 0........4
Solving the above 4 equations,
[tex]yz + \lambda(y + z) = 0\\\lambda = -yz/(y+z)\\\\xz + \lambda(x + z) = 0\\\lambda = -xz / (x+z)[/tex]
Evaluating the lambda values,
x = y
Similarly, y = z
Therefore, x² + x² + x² - 2 = 0
x = √2/3
y = √2/3
z = √2/3
Hence, Dimensions : (x , y , z) = (√2/3 , √2/3 ,√2/3)
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The first three terms of an arithmetic sequence are as followed 13,19,25
Answer:
31, 37
Step-by-step explanation:
common difference is 6
The fourth and fifth terms of the arithmetic sequence will be 31 and 37, respectively.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The sequence is given below.
13, 19, 25
The first term is 13 and the common difference is given as,
d = 19 - 13
d = 6
Then the fourth term is given as,
⇒ 25 + 6
⇒ 31
Then the fifth term is given as,
⇒ 31 + 6
⇒ 37
The fourth and fifth terms of the arithmetic sequence will be 31 and 37, respectively.
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3. Write the inequality that best represents the relationship shown on this number line:
Please help will MARK BRANLIEST!!
As part of a landscaping project, put in a flower bed measuring 10 feet by 20 feet. Surround the bed with a uniform border of low-growing plants.
a. Write a polynomial that describes the area of the uniform border that surrounds the flower bed.
b. The low growing plants surrounding the flower bed require 1 square foot each when mature. If there are 216 of these plants, how wide a strip around the flower bed should be prepared for the border?
Answer:
took me time to try and answer your question hope it proves helpful
Jayda bought a magazine that costs 6 and seven bags of marshmallows jayda spends a total of 34. How much did each bag of marshmallows costs ?
Answer:
4
Step-by-step explanation:
First, you need to take the cost of the magazine off the total which Jayda spent
34-6=28
Next, you know that you have seven bags of marshmallows, and the total cost of seven bags is 28. So, you need to divide 28 by the number of bags.
28÷7=4
Each bag of marshmallows costs 4
Can someone help me plz
Answer:
iloveyou
Step-by-step explanation:
Please help! Chapter test tomorrow!!
PLEASE i need to show the work, the equations.
Answer:
x=6
Step-by-step explanation:
4x-15=2x-3
+15 +15
4x=2x=12
/2 /2 +12
2x=12
/2 /2
x=6
Answer:
#1:
[tex]4x - 15 + 2x + 3 = 48\\\\2x + 18 = 48\\\\2x = 30\\\\x = 15[/tex]
#2:
Part 1: Solve for x
[tex]6x - 7 = 5x + 1\\\\x - 7 = 1\\\\x = 8[/tex]
Part 2: Plug in x for PQ
[tex]6(8) - 7\\\\48 - 7\\\\41[/tex]
The length of segment PQ is 41.
Part 3: Plug in x for QR
[tex]5(8) + 1\\\\40 + 1\\\\41[/tex]
The length of segment QR is 41.
Part 4: Length of PQ + length of QR = length of PR
PQ + QR = PR
41 + 41 = PR
82 = PR
The length of segment PR is 82.
I NEED HELP REALLY REALLY FAST
Answer:
360
Step-by-step explanation:
360 because you multiply the height times the width and you get your answer hopefully this helps you
how many centimeters across a handprint.
Answer:
1 hand = 10.16 cm.
Step-by-step explanation:
The scatterplot and trend line show a positive correlation between advertising costs and sales.
Which two points can be used to find the slope of the trend line?
Point 1: ?
Point 2: ?
Answer:
Point 1: (6.4, 117)
Point 2: (6.6, 120)
Step-by-step explanation:
Answer:
Point 1: (6.4, 117)
Point 2: (6.6, 120)
Step-by-step explanation:
ratios equilvalent to 3:11
please whats the answer?
Answer:
B
Step-by-step explanation:
since it is negative its below
hope this helps :3
if it did pls mark brainliest
Answer:
B. 282 feet below sea level
Step-by-step explanation:
Alexis had a cell phone that cost $65. She recently bought a new phone that cost $79. What was the percent increase in the prices of the phones?
Show your work. Round to the nearest tenth of a percent
Answer:
21.5%
Step-by-step explanation:
% increase = Increase ÷ Original Number × 100.
(sorry if i'm wrong i'm terrible at math)
The percentage increase in price of the phone is equal to 21.5%
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here: The cost of the old phone as $65 and cost of the new phone as $79
Change in price= 79-65
=$14
Therefore percentage change in price is = 14/65 × 100
=21.5%
Hence, The percentage increase in price of the phone is equal to 21.5%
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Help ASAP
2(x + 3) + (3x + 1)
Answer:
5x+7
Step-by-step explanation:
2x + 6 + ( 3x + 1 )
2x + 6 + 3x + 1
5x +7
Is it correct?????
????
??
Answer:
Yes, both of them are correct.
Step-by-step explanation:
I don't have enough time to explain, sorry!!
Have a wonderful day c:
Use the distributive property to write an equivalent expression.
9(g+6)
Fill in the blanks below in order to justify whether or not the mapping shown
represents a function.
Set A
Set B
-3
7
-4
4
2
-2
The mapping diagram above does NOT represent a function since
for each number Jin Set A (the input) there are multiple mappings
from Set A (the input).
Answer:
For each number in set A, there is one mapping from set A (input) to set B (output), so the mapping represents a function
Step-by-step explanation:
The relation is a function if and only if each input value has only 1 output value
Examples:
The relation {(1, 2), (-3, 5), (0, 10)} is a function because every input has only one output, the input 1 has only output 2, the input -3 has only output 5, the input 0 has only output 10The relation {(-1, -2), (3, -5), (-1, 1)} is not a function because the input -1 has two outputs -2 and 1Let us solve the question
Use the given figure to find the inputs and their corresponding outputs
Set A →→→→ Set B
∵ -3 →→→→ 2
∵ -4 →→→→ 4
∵ 9 →→→→ -2
∵ 1 →→→→ 7
∵ Set A is the input and set B is the output
∵ There is only one arrow go from each value in set A to a value in set B
∴ For each number in set A, there is one mapping from set A to set B
∴ The mapping represents a function
For each number in set A, there is one mapping from set A (input) to set B (output), so the mapping represents a function
maria has 15 fewer apps on her phone than orlando. if the total number of apps on both phones is 29, how many apps are on each phone
This is impossible because 15 fewer than 29 is 14 and then she would have to have negative apps.
Step-by-step explanation:
Orlando's number of apps = 22
Maria's number of apps = 7
Given,
Maria has 15 fewer apps on her phone than Orlando.
The total number of apps on both phones is 29.
We need to find out how many apps are on each phone.
What does the term mean?- M fewer than N by 2
This means if N = P then M = P - 2
- M more than N by 2
This means if N = P then M = P + 2
We have,
Total number of apps = 29 _____(1)
Maria has 15 fewer apps on her phone than Orlando.
We can write this as:
Orlando's number of apps = O.
Now,
Maria's number of apps = O - 15
Now,
From (1)
Orlando's number of apps + Maria's number of apps = 29
O + O - 15 = 29
2O - 15 = 29
2O = 29 + 15
20 = 44
O = 44/2
0 = 22
Orlando's number of apps = 22
Maria's number of apps = 22 - 15 = 7
Thus,
Orlando's number of apps = 22
Maria's number of apps = 7
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y= -1/3x -9 written in standard form
Answer:
It would be x + 3y = -27.
the graph of linear function g is shown on the grid. What is the zero of g? (-8,3) (-3,-4.5)
Answer:
Zero of the function = (-6, 0)
Step-by-step explanation:
Let the equation of the function given in the graph is,
y = mx + b
where m = slope of the line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
b = y-intercept of the line
From the graph attached,
Slope of the line passing through (-8, 3) and (-3, 4.5) = [tex]\frac{-4.5-3}{-3+8}[/tex] = -1.5
y - intercept 'b' = -9
Therefore, equation of the line will be,
y = -1.5x - 9
Function representing this line will be,
g(x) = -1.5x - 9
Zeros of the given function will be,
g(x) = 0 Or x-intercept
-1.5x - 9 = 0
x = -6
Therefore, zero of the given function is (-6, 0).
What is AB in the figure.
Answer:
Sjjsjsdjjdjsjshsskeidbndxkxuxhsnsndhdhsksms
Define a direct variation equation
A pair of $72 sneakers is marked with a sign "$20 OFF or 20% OFF.
The $20 on final price is ________
The 20% Off final price is ________
Which deal will give you the cheaper final price?
Answer:
$52
$57.6
Step-by-step explanation:
$20 off $72 is equal to 72-20=$52
20% of $72 is $14.4 which will then lead to 72-14.4=$57.6
write an equation in standard form for the line that is parellel to the graph of -8x=5-4y and has a y-intercept -0.5
A x+.05=0.25
B 10x-5y=2
C 4x-2y=1
D 2x-y=1
9514 1404 393
Answer:
C 4x -2y = 1
Step-by-step explanation:
The y-intercept of the offered choices can be found by dividing the constant by the y-coefficient.
A: not in standard form (coefficients are not integers)
B: 2/-5 = -2/5 . . . not -1/2
C: 1/-2 = -1/2 . . . a good candidate
D: 1/-1 = -1 . . . not -1/2
5x-15
Please help me find this answer
Answer:
5(x-3)
Step-by-step explanation:
If you're looking to factor it, take out the 5
5(x-3)
That's really the only other thing you can do with this equation, I'm not sure what else you could've been asking for lol
Answer:
If your solving for x, then it's 3
Step-by-step explanation:
5x - 15 = 0
5x = 0 +15
5x = 15
x = 15 / 5
x = 3
Can you guys help me find the supplements for question 6
Answer:
d
Step-by-step explanation:
i looked it up
Wendell’ Plumbing Supply sold metal piping at $36.50 per 15 yard length. What would
75.4 meter of piping cost? 1.0 meter = 1.09 yards
Need help got until 12:10
.The annual yield per orange tree is fairly constant at 270 pounds per tree when the number of trees per acre is 30 or fewer. For each additional tree over 30, the annual yield per tree for all trees on the acre decreases by 3 pounds due to overcrowding. Find the number of orange trees per acre, x, that maximizes the total yield for an acre, T, in pounds. What is the total maximum yield in pounds of oranges
Answer:
The answer is below
Step-by-step explanation:
Let the yield per hectare be Y and the number of orange trees per acre, x. For fewer than or 30 trees there is a yield of 270 pounds per tree, therefore:
Y(x) = 270 for x ≤ 30
If it is more than 30 trees the yield decreases by 3 pounds, hence:
Y(x) = 270 - 3(x - 30) = 360 - 3x for x > 30
The total yield T is given as T(x) = x × Y
T(x) = x × 270 = 270x for x ≤ 30
T(x) = x(360 - 3x) = 360x - 3x² for x > 30
The maximum yield is at T'(x) = 0
T'(x) = 360 - 6x
360 - 6x = 0
6x = 360
x = 360/6
x = 60
T(6) = 360(60) - 3(60²) = 10800 pounds
angle A and angle B are supplementary angles. If m angle A=(7x+15)^ and m angle B=(x+13)^ , then find the measure of angle A
