Answer:
The investment required is: $5687
Step-by-step explanation:
Future Amount A= $7000
Rate r = 6% =0.06
Time t = 4
Compounded Weekly = n= 52
We need to find Principal Amount P
The formula used is: [tex]A=P(1+\frac{r}{n})^{n*t}[/tex]
Putting values and finding P
[tex]A=P(1+\frac{r}{n})^{n*t}\\7000=P(1+\frac{0.06}{52})^{4*52}\\7000=P(1.001)^{208}\\7000=P(1.231)\\P=\frac{7000}{1.231} \\P=5687[/tex]
So, The investment required is: $5687
Brendan worked 7 11/12 hours on Saturday, on Sunday he worked 84% of the hours he worked on Saturday. How many total hours do he work last weekend?
Answer:
[tex]14\frac{17}{30}[/tex]hrs
Step-by-step explanation:
Given parameters:
Time worked on Saturday = [tex]7\frac{11}{12}[/tex]
Unknown:
Total hours he worked last weekend = ?
Solution:
Since Brendan worked 84% of the time he worked on Saturday on Sunday;
Time worked on Sunday = [tex]\frac{84}{100}[/tex] x [tex]\frac{95}{12}[/tex] = [tex]\frac{133}{20}[/tex]
Total time worked last weekend = Time worked on Saturday + Time worked on Sunday;
Total time worked = [tex]\frac{95}{12}[/tex] + [tex]\frac{133}{20}[/tex]
Total time worked = [tex]\frac{475 + 399}{60}[/tex]
Total time worked = [tex]\frac{874}{60}[/tex]
Total time worked = [tex]\frac{437}{30}[/tex] = [tex]14\frac{17}{30}[/tex]hrs
PLEASE HELP! WILL MARK BRAINLIEST IF RIGHT! 3 QUESTIONS!
1. Tia cut a 4-meter 8-centimeter wire into 10 equal pieces. Marta cut a 540-centimeter wire into 9 equal pieces. How much longer is one of Marta’s wires than one of Tia’s?
2. Jay needs 19 quarts more paint for the outside of his barn than for the inside. If he uses 107 quarts in all, how many gallons of paint will be used to paint the inside of the barn?
3. String A is 35 centimeters long. String B is 5 times as long as String A. Both are necessary to create a decorative bottle. Find the total length of string needed for 17 identical decorative bottles. Express your answer in meters.
Answer:
Tia cut a 4-meter 8-centimeter wire into 10 equal pieces. for Jay 10 quarts would be the answer. Step-by-step explanation: He needs x quarts for the inside painting and x + 19 quarts for the outside. These two measures add up to 2x + 19, which equals 107 (quarts) total. The last one is tring A is 35 cm long, string B is 5 times as long as string A, then string B is 35·5=175 cm long. In total both strings have length 35+175=210 cm. The total length of string needed for 17 identical decirative bottes is cm that is 35.7 m.
136/50
as a percentage?
Answer: 272%
Step-by-step explanation: To write 136/50 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .
136/50 * 100 = 2.72 * 100 = 272%
And finally we have:
136/50 as a percent equals 272%
A fair six-sided die is rolled. Find the probability of getting a 1
Answer:
1/6
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
If a six-sided dice is rolled, what is the probably getting a 1? Under the standard assumptions (unbiased die, sides numbered 1–6), the probability of getting a 1 is 1/6.
What did my teacher do to get the answer to this question?
Step-by-step explanation:
since perimeter is adding all around she took the all the values and added them as above. as you can see 3√2 and 4√2 has the same square root so she added 3+4 which gave us 7√2 and then added the 2√5 but since they don't have the same square root we can't add them like we did in the other so we'll just put 7√2+2√5
Find three consecutive integers whose sum is 33
Answer:
10 +11 + 12
Step-by-step explanation:
We know this because 10 + 11 +12 equals 33
Haleigh split 4/9 of a gallon of juice into 8 cups. How much juice was in each cup?
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▹ Answer
1/18 of a gallon of juice in each cup.
▹ Step-by-Step Explanation
Since we have 4/9 of a gallon of juice for 8 cups, we will divide to find the amount of juice in each cup.
[tex]\frac{4}{9} / 8[/tex]
Since this operation is division, we have to change 8 to it's reciprocal which is 1/8:
[tex]\frac{4}{9}/ \frac{1}{8} = \frac{4}{72} = \frac{1}{18}[/tex]
Our final answer will be 1/18 of a gallon of juice in each cup.
Hope this helps!
CloutAnswers ❁
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S
What is the value of x?
12 units
16
0
15 units
O
20 units
R
Х
Q
0
24 units
Answer:
C. 20 units
Step-by-step explanation:
x > 16 because the hypotenuse is always the longest side
9 + 16 = 25
25 > x
that leaves you with 20 units and 24 units but 24 units is too long, so C. 20 units is the answer
Tthe value of x is 20 u
To get the value of x from the diagram, we will use the triangle altitude theorem as shown below;
From the diagram;
9/RT = RT/16
RT^2 = 9*16
RT^2= 144
RT = 12
Get the value of x using the pythagoras theorm;
x^2 = 16^2 + 12^2
x^2 = 256 + 144
x^2 = 400
x = 20
Hence the value of x is 20 units
Learn more on pythagoras theorem here: https://brainly.com/question/343682
If the ration of bananas to apples was 9 to 15. If there were twelve bananas, how many total pieces of fruits was there
Answer:
IM not too sure but i think 30
Step-by-step explanation:
Answer:
There would be 30 fruits in total.
Step-by-step explanation:
9 to 15 = 12 to 18
12+18=30
its the day befofe valentines day and shelly needs to get valentine cards for all of her classmates the desks are arranged in a rectangle 7 rows wide and 5 rows long if there are 3 desks that are empty how many students are in the class
Answer:
21
Step-by-step explanation:
(7x2)+(5x2)-3=21
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Answer:
32 students
Step-by-step explanation:
7 times 5= 35
35-3=32 students
Irina has 3 hours to finish her final math exam. Keeping in mind that there are 60 minutes in 1 hour, how much time, on average, does she have for each question if there are 45 questions on the exam? 1.5 minutes 2.ModifyingAbove 6 with bar minutes 4 minutes 15 minutes
Answer:
4 minutes per question
Step-by-step explanation:
3 hours = 180 mins
180/45 = 4
4 minutes per question
Answer:
an average of 4 minutes on each
Step-by-step explanation:
When a decimal is written in word form, what indicates whether the number can be written as a mixed number or as a fraction less than 1
9514 1404 393
Answer:
"and"
Step-by-step explanation:
Properly written, the word "and" separates the integer portion from the fractional portion of the number. If there is no "and", then there is no integer portion, so the number is a fraction less than 1.
Examples:
one and three tenths = 1 3/10
thirty-one thousandths = 31/1000
Which point of view is used in The Call of the Wild?
first person
second person
third-person limited
third-person omniscient
Answer:
I am still trying to pick between third-person limited and third-person omniscient...Let me know which one is right :)
Step-by-step explanation:
Answer:
The answer is third-person omniscient I did it on edge
Step-by-step explanation:
so itz 100% correct trust me
Find the general solution of (2x² + y)dx + (x²y - x)dy = 0
Multiply the original DE by xy:
xy2(1+x2y4+1−−−−−−−√)dx+2x2ydy=0(1)
Let v=xy2, so that dv=y2dx+2xydy. Then (1) becomes
x(y2dx+2xydy)+xy2x2y4+1−−−−−−−√dxxdv+vv2+1−−−−−√dx=0=0
This final equation is easily recognized as separable:
dxxln|x|+CKxvKx2y2−1K2x4y4−2Kx2y2y2=−dvvv2+1−−−−−√=ln∣∣∣v2+1−−−−−√+1v∣∣∣=v2+1−−−−−√+1=x2y4+1−−−−−−−√=x2y4=2KK2x2−1integrate both sides
what conjecture can you make about the sum of firs 52 positive even numbers
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, the available details is enough to work out a solution.
Considering the first even number: 2
In this case, n = 1
The sum of the first even term is 2.
Represent the sum as a product:
[tex]2 = 1 * 2[/tex]
Considering the first two even numbers: 2 and 4
In this case, n = 2
The sum of the first two even terms is 6
Represent the sum as a product:
[tex]6 = 2 * 3[/tex]
Considering the first three even numbers: 2, 4 and 6
In this case, n = 3
The sum of the first two even terms is 12
Represent the sum as a product:
[tex]12 = 3 * 4[/tex]
Notice the pattern from n = 1 to 3
[tex]2 = 1 * 2[/tex] --- n = 1
[tex]6 = 2 * 3[/tex] --- n = 2
[tex]12 = 3 * 4[/tex] --- n = 3
------------------------------------
It follows that, the sum when represented as a product is: [tex]n * (n + 1)[/tex]
So, the sum of the first 52 even terms would be:
[tex]52 * (52 + 1)[/tex]
Where n = 52
[tex]52 * (52 + 1) = 52 * 53[/tex]
[tex]52 * (52 + 1) = 2756[/tex]
Hence, the sum of the first 52 even terms is 52 * 53 or 2756
Pls answer fast i will mark u brainliest
Answer:
-16 3/28
Step-by-step explanation:
sowwy if wrong owo
1. multiply
-2 3/4 * 5 6/7 = -11/4 * 41/7 = -451/28
2. simplify
-451/28 = -16 3/28
AA similarity theorem ASA similarity theorem AAS similarity theorem SAS similarity theorem
Can someone help please ?
Answer:
1. perimeter of Trapezoid = 35x+18
Option F is correct.
2. perimeter of square = 16x-32
Option C is correct.
3. perimeter of Pentagon = 10x-20
Option A is correct.
4. perimeter of Rhombus = 28x+8
Option H is correct.
Step-by-step explanation:
1. Trapezoid Perimeter
Side1 a: 9x+4
Side2 b: 7x+8
Side3 c: 12x-2
Side4 d: 7x+8
The formula used is: [tex]Perimeter=a+b+c+d[/tex]
Putting values and finding perimeter
[tex]Perimeter=a+b+c+d\\Perimeter=9x+4+7x+8+12x-2+7x+8\\Perimeter=9x+7x+12x+7x+4+8-2+8\\Perimeter=35x+18[/tex]
So, perimeter = 35x+18
Option F is correct.
2. Square Perimeter
Side of square = 4x-8
The formula used is:[tex]Perimeter=4a[/tex]
where a is side of square
Putting values in formula
[tex]Perimeter=4a\\Perimeter=4(4x-8)\\Perimeter=16x-32[/tex]
So, perimeter of square = 16x-32
Option C is correct.
3. Pentagons perimeter
Side of pentagon= 2x-4
The formula used is:[tex]Perimeter=5a[/tex]
where a is side of pentagon.
Putting values in formula
[tex]Perimeter=5a\\Perimeter=5(2x-4)\\Perimeter=10x-20[/tex]
So, perimeter of Pentagon = 10x-20
Option A is correct.
4. Rhombus perimeter
Side of Rhombus=7x+2
The formula used is:[tex]Perimeter=4a[/tex]
where a is side of rhombus
Putting values in formula
[tex]Perimeter=4a\\Perimeter=4(7x+2)\\Perimeter=28x+8[/tex]
So, perimeter of Rhombus = 28x+8
Option H is correct.
Is the number 2 composite or prime
Answer:
prime Number
Step-by-step explanation:
because 2 can be only divided by itself and one
Answer:
the number 2 is the only even prime number
Pleaseeeeeewe helpppppp
Answer:B
Step-by-step explanation:
What is the equation of the line that passes through the point (-6,-5) and has a slope of 2/3
Answer:
the answer is y=2/3x-5
Slope pls help ASAP due tonight
Answer:
y=x+ -5
i think
The slope would be 1, which is basically just x but yeah, the other blank would be -5 since it's the y-intercept (where the line touches the y-xis) I hope this helps!!!
Find the value of X.
Answer:
11
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
67=6x+1 (opp. angles are equal)
66=6x
x=66/6=11
the marijority of the population in the United states _________.
A. French
B.spanish
C.English
D.native languages
is it better to buy 3 gifts and get one free or use a coupon for 20% off of three. which is cheaper i’m too lazy to do it :~|
Answer:
Coupon
Step-by-step explanation:
C O U P O N
Answer:
coupon
Step-by-step explanation:
David is having a cookout. Hot dogs and buns are sold based on the following quantities per package.
Item
Amount Per Package
Hot dog buns
12
Hot dogs
10
A
David thought that he would have to buy 12 packages of hot dog buns and 10 packages of hot dogs to have one bun for each hot dog.
What is the LEAST amount of each David would need to buy to have an equal number of hot dogs and buns?
David should buy 2 packages of buns and 2 packages of hot dogs,
David should buy 6 packages of buns and 5 packages of hot dogs.
с David should buy 5 packages of buns and 6 packages of hot dogs,
D David should buy 22 packages of buns and 22 packages of hot dogs
B
Answer: Choice C) David should buy 5 packages of buns and 6 packages of hot dogs.
========================================================
Explanation:
Focus on the hot dog buns for now
1 package = 12 hot dog buns
2 packages = 24 hot dog buns (multiply both sides by 2)
3 packages = 36 hot dog buns (multiply original equation by 3)
We can see that the multiples of 12 are being listed. So we have
12, 24, 36, 48, 60, 72, 84, ...
as the possible number of hot dog buns we could get if we buy 1,2,3... packages.
The possible number of hot dogs we can get are
10, 20, 30, 40, 50, 60, 70, 80, ...
which are multiples of 10. Simply add 10 to each item to get the next one.
--------------------------------
Considering these two sets
12, 24, 36, 48, 60, 72, 84, ...
10, 20, 30, 40, 50, 60, 70, 80, ...
what is the lowest common multiple? That would be 60 since it is found in both lists and it is the smallest in common.
The LCM of 12 and 10 is 60.
If he wanted 60 hot dog buns, then 60/12 = 5 packages of buns is what he needs.
If he wanted 60 hot dogs, then he needs 60/10 = 6 packages of hot dogs.
Therefore, David should buy 5 packages of buns and 6 packages of hot dogs. The answer is choice C.
--------------------------------
Side note: a different way to find the LCM is to multiply 10 and 12 to get 10*12 = 120. Then we divide by the GCF 2 getting 120/2 = 60.
Mr. Roberts had $9,512 in savings. He saved another $488. He then used all his money to buy 500 books. He sold the books for $35 each. How much did Mr. Roberts earn from selling each book?
Answer:
1750 for selling each book
Step-by-step explanation:
In all 11,750
Answer:
$17,500
Step-by-step explanation:
Because
He sold each book in $35.
For 500 books
500*$35
$17,500
write the equation in point slope form for a line that passes through the points (-2,3) and (6,-1)
Answer:
y - 3 = -1/2(x + 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (-2, 3)
Point (6, -1)
Step 2: Find slope m
Substitute: [tex]m=\frac{-1-3}{6+2}[/tex]Subtract/Add: [tex]m=\frac{-4}{8}[/tex]Simplify: [tex]m=\frac{-1}{2}[/tex]Step 3: Write linear equation
Point-Slope Form: y - 3 = -1/2(x + 2)
Answer:
y = -(1/2)x+2
Step-by-step explanation:
Anna got 45 answers correctly out of an unknown number of questions
which was 90% correct. How many questions were there?*
5 or
55 or
60
Answer:
The answer for this problem would be 50.
Step-by-step explanation:
If you calculate 90% of 50, you should get 45 so, the answer is 50.
Write
7
as a decimal.
25
0
Answer:
0.07
Step-by-step explanation: