How many unit cubes would you need to make a model of a rectangular prism that is 6 units long, 2 units wide, and 5 units high?
Answer:
60
Step-by-step explanation:
Volume = 6*2*5 = 60
Answer:
C
Step-by-step explanation:
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Please help me i need it right now please
Given:
The rate of interest on three accounts are 7%, 8%, 9%.
She has twice as much money invested at 8% as she does in 7%.
She has three times as much at 9% as she has at 7%.
Total interest for the year is $150.
To find:
Amount invested on each rate.
Solution:
Let x be the amount invested at 7%. Then,
The amount invested at 8% = 2x
The amount invested at 9% = 3x
Total interest for the year is $150.
[tex]x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150[/tex]
Multiply both sides by 100.
[tex]7x+16x+27x=15000[/tex]
[tex]50x=15000[/tex]
Divide both sides by 50.
[tex]x=\dfrac{15000}{50}[/tex]
[tex]x=300[/tex]
The amount invested at 7% is [tex]300[/tex].
The amount invested at 8% is
[tex]2(300)=600[/tex]
The amount invested at 9% is
[tex]3(300)=900[/tex]
Thus, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.
$8,000 is invested in an account earning 8.7% interest (APR), compounded continuously. Write a function showing the value of the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
i believe it would be 8k divided by 8.7 pie
The area of a rectangle is 33ft, and the length of the rectangle is 5 ft less than twice the width. Find the dimensions of the rectangle
Hi there!
[tex]\large\boxed{\text{ L = 6 ft, w = 5.5 ft}}[/tex]
Use the following equation for the area of a rectangle:
A = l × w
Since the length is 5 ft less than twice the width, we can write an expression for the length in terms of the width:
l = 2w - 5
Plug the given area and expression into the equation:
33 = (2w - 5) × w
Distribute:
33 = 2w² - 5w
Move everything over to one side:
0 = 2w² - 5w - 33
Factor the equation:
0 = (2w - 11)(w + 3)
Find each w value by setting each expression equal to 0:
0 = 2w - 11
11 = 2w
w = 5.5
0 = w + 3
-3 = w
Since dimensions must be positive, the width is 5.5 ft.
Plug this value into the initial equation to solve for length:
33 = 5.5l
33/5.5 = l
l = 6 ft.
The dimensions are length = 6ft, and width = 5.5ft.
what is the area of 30' long by 3/4' wide?
Answer:
A = 22.5 ft^2
Step-by-step explanation:
This shape is a rectangle of length 30' and width 3/4'.
The area of a rectangle of length L and width W is A = L * W.
Here, with L = 30' and W = (3/4)', A = (30')(3/4') = 45/2 ft^2, or A = 22.5 ft^2
PLEASE CLICK ON THIS IMAGE I NEED HELP
Answer:
A
Step-by-step explanation:
M = 17 x
The total cost = cost of t-shirts (number of t-shirts)
make a number line and show all values of x such that... x<-1 and x>1
if this makes sense
Step-by-step explanation:
<_____* *________>
<---|------|-----|-----|-----|-----|----->
-2 -1. 0. 1. 2. 3
Answer:
1+1=2
ur name rhymes with p**
Step-by-step explanation:
Please show your work
Answer:
a = 9
Step-by-step explanation:
a^2 = 41^2 - 40^2
a^2 = 1681-1600 = 81
a = 9
Domain:___
Range:___
Function:___
Answer:
Domain: {-4,-2,1,3}
Range: {3,2,-1,-5}
Function: (-4,-5);(-2,-1);(-2,3);(1,2);(3,-1)
Guys please help me I don’t understand and my test is due at 12 I only have 40min HELP GREATLY APPRECIATED!!!
Answer:
{9} Slope: -1
Y-intercept = 0
Step-by-step explanation:
Slope-----
Recall slope-intercept form
y=mx+b, with slope m and a y-intercept of b. With this in mind, we can rewrite our equation as y=−x+0
We see that our slope, or coefficient on x, is −1.
Y-intercept-----
We can rewrite this equation as:y=1x+0
The slope-intercept form of a linear equation is: y=mx+b
Where m is the slope and b is the y-intercept value.
For this equation:y=1x+0
Therefore:
The slope is m=1
The y-intercept is b=0 or (0,0)
Hope this helps!
Trisha has two boxes of marbles
Answer:
Trisha has two boxes of marbles than
to find probability
use formula
probability =no.of given marble/total no of marble
Paul was thinking of a number. Paul subtracts 8 from it and gets an answer of 20.6. What was the original number?
Answer:
28.6 is the answer as when you subtract 8 from 28.6 you get 20.6 which Paul got
Need help in math and explain to me step by step
Answer:
[tex]\left[\begin{array}{cc}x&y&-2&-9&0&-1&2&7&4&15\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]y = 4x - 1[/tex]
Required
Create a function table for inputs -2, 0, 2 and 4
When x = -2
[tex]y = 4*-2 - 1 = -9[/tex]
When x = 0
[tex]y = 4*0 - 1 = -1[/tex]
When x = 2
[tex]y = 4*2 - 1 = 7[/tex]
When x = 4
[tex]y = 4*4 - 1 = 15[/tex]
So, the table is:
[tex]\left[\begin{array}{cc}x&y&-2&-9&0&-1&2&7&4&15\end{array}\right][/tex]
The length of one wall in Mr. Shelby‘s classroom and 29 feet. What is the length of this wall in inches.
Answer:
348 inches
Step-by-step explanation:
29x12=348
The length of Mr. Shelby's wall is 348 inches.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
Given that, the length of one wall in Mr. Shelby's classroom and 29 feet, we need to convert it into inches.
So,
1 ft = 12 inches
Therefore,
29 ft = 29 × 12
= 348 inches
Hence, the length of Mr. Shelby's wall is 348 inches.
Learn more about unit conversion, click;
https://brainly.com/question/19420601
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PLEASE HELPS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Pls me me plsss help and show work
Answer:
Here ya go!
Step-by-step explanation:
Sam is planning to open a pool cleaning business from his home. Sam’s business will come with a set-up cost of $9,000 and an annual operational cost of $30,500. Sam anticipates an annual profit of $45,000 for the first year and expects profits to increase by 5.5% annually for the next 5 years.
This is all information Sam should include in the _____ component of his business plan.
a.
organization plan
b.
financial analysis
c.
executive summary
d.
implementation plan
Answer:
The correct answer is B. Financial analysis.
Step-by-step explanation:
Financial analysis is a specific part of resource analysis, which in practice means an analysis of activities in which finance or money and time play a primary role. The aim of such an analysis is to reveal the strengths and weaknesses of the company, to determine its performance and to evaluate the information obtained so that the financial analysis becomes one of the tools used to manage the company.
Answer:
B.
Step-by-step explanation:
What is the solution to this equation?
2x + 3(x - 10) = 45
A. X = 15
B. x = 11
C. X = 3
D. x = 7
SUBM
Answer:
A. X= 15
Step-by-step explanation:
2x + 3(x - 10) =45
2x + 3x - 30 = 45
5x = 45 + 30
X = 75/5
X = 15
pls help
plsssssssssssss
Answer and Step-by-step explanation:
Because of the vertical angles theorem, the angle that is 65 degrees would be equal to y.
y = 65°
X and Y are supplementary angles, which form a linear lair. This linear pair will add up to 180 degrees.
TO find x, we subtract 65 from 180.
180 - 65 = 115
x = 115°
X and Z are vertical angles, so they are equal to each other.
z = 115°
x = 115°
y = 65
z = 115°
To solve for the length of PQ, we would use the Pythagorean theorem equation.
[tex]a^{2} +b^{2}= c^{2} \\\\\\a = PQ\\\\b = QR\\\\c = PR\\\\\\a^{2} + 24^{2} = 25^{2} \\\\a^{2} + 576 = 625\\\\a^{2} = 49\\\\a = 7[/tex]
The length of PQ is 7.
#teamtrees #WAP (Water And Plant)
Answer:
y = 65 degrees
x = 115 degrees
z = 115 degrees
Step-by-step explanation:
the angle between c and a will be the same as y because of vertical angles
the same goes for x and z
y and x are supplementary angles, so if y is 65 then you do 180 - 65 to get 115
Lynette and Amber are planning their eighth-grade graduation ceremony. They are shopping for decorations for the stage.
They want to buy a balloon arch that costs $89.95.
They also want to buy some flower arrangements that cost $9.75 each.
They can spend no more than $250.
Lynette thinks that they can buy the balloon arch and 16 flower arrangements, but Amber thinks they can buy the balloon arch and 20 flower arrangements. Which girl's estimate is more reasonable?
A-Amber's, because the flower arrangements will cost about $100
B-Lynette's, because 16 flower arrangements will be about $160
C-Lynette's, because the arch will cost about one-half of their funds
D-Amber's, because $160 will be left for the flowers after buying the arch
Answer:
B
Step-by-step explanation:
Jeremy has 9 roses. One-third of the roses are white. How many roses are white?
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the following system of equations in the coordinate plane. Use the Mark Feature tool to indicate the solution to the system on
the graph.
33 - 2y = -12
y = 4 +1
Drawing Tools
Click on a tool to begin drawing
Undo
Reset
Select
Mark Feature
+
A
10
Line
6
Pre-Ala 7 Inequ....pdf
Show A
The solution to the system of equations is (2,9)
The system of equations is given as:
3x - 2y = -12
y = 4x + 1
Start by plotting the graphs of 3x - 2y = -12 and y = 4x + 1
From the graph (see attachment), the point of intersection of both lines is:
(x,y) = (2,9)
Hence, the solution to the system of equations is (2,9)
Read more about system of equations at:
https://brainly.com/question/14323743
Joe has $300 in the bank right now and saves $25 per month. Leah has $150 in the bank right now, but she is able to save $35 per month. How long will it take them to have the same anount of money saved?
Answer:
15 months
Step-by-step explanation:
300+25x=150×35x
150=10x
x=15
Write an equation for the n th term of the arithmetic seqeuence. Then find a{10}. 100,110,120,130
Answer:
100+10n
Step-by-step explanation: a(10)
100+10(10)
100+100 = 200
The four members of a singing quartet are buying new outfits. The shirts are $21 , the pants are $26 , the hats are$6 and the canes are$13 . What is the total cost of the new outfits for all the members?
Answer:
here'
Step-by-step explanation:
mate ur answer is 16.5 hope u got it
Answer:
$66
Step-by-step explanation:
$21 + $26 + $6 + $13 = $66
15℅ of 6th grade teachers give homework over the holiday break. If 12 teachers give homework, how many total 6th grade teachers are there? Please show your work
Answer:
12
Step-by-step explanation:
Its a trick question, 15% of 6th grade teachers give HW, but there are 12 teachers. its not gonna be 15% of 12, because you would also get a fraction of a teacher.
Calculate the value of each expression by writing the decimal factors as fractions the writing their product as a decimal (1.2) times 5
Answer:
A
Step-by-step explanation:
Presley's lemonade recipe uses 4 scoops of lemonade powder for every 2 1/2 cups of water. Presley uses 10 scoops of lemonade powder to make a batch of lemonade. How much water should she use?
rewrite y-340.2=-8.1(x-7) in point slope equation.
it only accepts answers in the form of for example, y=500/3(x+4)+800
Jaunita bought a square calculator that has a measurement of 8.2 sq cm on one side?
What is the area of the calculator?
Answer:
67.24
Step-by-step explanation:
If it's a square it must have all equal sides so if one side is 8.2then all the sides are. And we are finding the AREA so L x W = A....... 8.2 x 8.2 =67.24
So 67.24 is the answer. Btw I need help on a question I asked.... Anyone minds?
Answer:
67.24cm^2
Step-by-step explanation:
Area of square=leangh×leanth since all sides are equal.
area= 8.2×8.2
=67.24cm^2