The amount Vicente needs to deposit now in order to have a balance of $20,000 in his savings account after 10 years is $15,384.62
What is simple interest?
The simple interest on the savings is determined as the deposit multiplied by the annual interest rate and the number of years that deposit would last in the account
I=PRT
I=simple interest
P=principal=deposit=unknown
R=annual simple interest=3%
T=number of years=10
A(amount in 10 years)=P+PRT
A=P(1+RT)
$20,000=P(1+3%*10)
$20,000=P*1.30
P=$20,000/1.30
P=$15,384.62
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Paulette is paid 2 1/2 % commission on all sales, and an extra 1 1/2 % on all sales over $6,500. Her sales last week totaled $17,400. What were her total earnings for the week?
The total earnings in the form of commission for Paulette is $ 598.5.
Commission till sales of $ 6,500 = 2 1/2 %
So amount of commission will be
A = 5 / 200 × 17400
A = 5 / 2 × 174
A = $ 435
Extra commission:
E = 3 / 200 × ( 17400-6500)
E = 3 / 200 × 10900
E = 3 / 2 × 109
E = $ 163.5
Total commission = $ 435 + $ 163.5
T = $ 598.5
Therefore, the total earnings in the form of commission for Paulette is $ 598.5.
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Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
For the given question options C, D and E are correct answers.
Given that, ∠2, ∠3, and ∠5 are interior angles of the triangle and ∠1, ∠4, and ∠6 are exterior angles of the triangle.
What are the exterior angles of a triangle?When any side of a triangle is extended, the angle that is formed with this side and its adjacent side is called the exterior angle of a triangle. There are three exterior angles in a triangle. It should be noted that each exterior angle forms a linear pair with its corresponding interior angle.
Now, m∠5 + m∠6=180° (Adjacent angles are added up to 180°)
m∠2 + m∠3 = m∠6 (Exterior angle is equal to the sum of opposite interior angles)
m∠2 + m∠3 + m∠5 = 180° (Sum of all the interior angles of a triangle is equal to 180°)
Therefore, options C, D and E are correct answers.
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If 1 shoe equals 6.5 socks, how many socks are equivalent to 2.3 shoes?
The equivalent number of socks to 2.3 shoes is 14.95 socks
Ratio and proportionsFractions are expression written as a ratio of two integers. For instance If 1 shoe equals 6.5 socks, this can be written as:
1 shoe = 6.5 socks
In order to determine the number of socks for 2.3 shoes, we will have:
2.3 shoes = x socks
Determine the ratio
1/2.3 = 6.5/x
Cross multiply
1 * x = 2.3 * 6.5
x = 2.3 * 6.5
x = 14.95
Hence the equivalent number of socks to 2.3 shoes is 14.95 socks
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need answer asap:
Shelby made a list of her test scores: 88,100,92,80,85,94,90. What is the lowest score she can get on her next test to have a mean score of 90?
ty pls answer quickk
......................
Jennifer has a total of 25
marbles. She gives 5 marbles
to her friend, Elizabeth.
What fraction of marbles did
Elizabeth receive?
Answer:1/5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
Ex) You pick a marble from a bag containing 2 blue marbles, 5 red marbles, and 3 purple marbles. You replace the marble and select a second marble.
To collect data on the signal strengths in a neighborhood, Tracy must drive from house to house and take readings. She has a graduate student, Dave, to assist her. Tracy figures it would take her 8 hours to complete the task working alone, and that it would take Dave 12 hours if he completed the task by himself.
How long will it take Tracy and Dave to complete the task together?
Tracy and Dave together complete the task in [tex]\frac{24}{5}[/tex] hours
Given Tracy alone take 8 hours to complete work and dave alone take 12 hours to complete the work.
Let's say together they worked in x hours
⇒in 1 hour they worked [tex]\frac{1}{x}[/tex]th part of the work
Tracy herself worked 8 hours to complete the whole task
⇒ in 1 hour Tracy completes [tex]\frac{1}{8}[/tex]th part of the task
Dave himself worked 8 hours to complete the whole task
⇒ in 1 hour Dave completes [tex]\frac{1}{12}[/tex]th part of the task
By proportions
⇒[tex]\frac{1}{8}[/tex]+[tex]\frac{1}{12}[/tex]=[tex]\frac{1}{x}[/tex] { using operation addition}
⇒ x= [tex]\frac{24}{5}[/tex]
Therefore,Tracy and Dave together complete the task in [tex]\frac{24}{5}[/tex] hours
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If the third of three consecutive integers is subtracted from 132, the result is the sum of the first and second. What are the integers?
Answer:
gg
Step-by-step explanation:
Answer:
Three consecutive integers are 43, 44, 45
Step-by-step explanation:
Let three consecutive integers be x, (x + 1), (x + 2)
According to the question, if the third of three consecutive integers is subtracted from 132, the result is the sum of the first and second.
[tex] \therefore [/tex]
[tex] \implies \rm 132 - (x + 2) = x + (x + 1) \\ \\ \implies \rm 132 - x - 2 = x + x + 1 \\ \\ \implies \rm 130 - x = 2x + 1 \\ \\ \implies \rm 130 - 1 = 2x + x \\ \\ \implies \rm 129 = 3x \\ \\ \implies \rm 3x = 129 \\ \\ \implies \rm x = \frac{129}{3} \\ \\ \implies \rm x = 43[/tex]
So,
The integers are as follows:
x = 43
x + 1 = 44
x + 2 = 45
2,414(goal) each person pays 34 how many people need to come to reach that goal
The required number of people that contribute 34 pays in the goal of 2414 is 71.
What is arithmetic?According to the assertions, it deals with a number of operations in mathematics. Addition, subtraction, multiplication, and division are the four main arithmetic operators.
Here,
as given in the question,
Total contribution = 2414
Contribution by each person = 34
Applying arithmetic operations
number of people = 2414 / 34
Number of people= 71
Thus, the required number of people that contribute 34 pays in the goal of 2414 is 71.
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Pre algebra pick a yes or no
Answer:
see explanation
Step-by-step explanation:
to determine if the values of y are a solution to the equation, substitute the values of y into the left side and if equal to the right side then they are a solution.
y = 70
[tex]\frac{70}{7}[/tex] - 1 = 10 - 1 = 9 ≠ - 2 → NO
y = 56
[tex]\frac{56}{7}[/tex] - 1 = 8 - 1 = 7 ≠ - 2 → NO
y = - 7
[tex]\frac{-7}{7}[/tex] - 1 = - 1 - 1 = - 2 → YES
y = 0
[tex]\frac{0}{7}[/tex] - 1 = 0 - 1 = - 1 ≠ - 2 → NO
Answer:
Yes. I think that is a pre algebre question.
What is: 14 - (-20) + (-13)
Answer:
21
Step-by-step explanation:
14 - (-20) + (-13) =
= 14 + 20 - 13
= 34 - 13
= 21
Kenny and his family went on a backpacking trip. They started hiking at 3:48 P.M. It took 2 hours and 59 minutes to reach their campsite. After they arrived, it took 1 hour and 35 minutes to set up the campsite. What time was it when Kenny and his family finished setting up their campsite?
Based on the time that it took Kenny and his family to reach the campsite and set it up, the time when they finished setting up the campsite was 8:22 pm
How to find the time taken to set up?First, find the time that Kenny and his family reached their campsite:
= 3:48 pm + 2 hours 59 minutes
= 6:47 pm
After getting to the campsite at 6:47 pm, Kenny and his family took 1 hour 35 minutes to finish setting up their campsite:
= 6:47 pm + 1 hour 35 minutes
= 8:22 pm
In conclusion, Kenny and his family finished setting up at 8:22 pm.
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4. To make a specific hair dye, a hair stylist uses a ratio of 1 } oz of red tone, À oz of gray
tone, and oo | ur
Oz of brown tone.
a.
If the stylist needs to
b.
make 20 oz of dye, how much of each dye color is needed?
If the stylist needs to make 100 oz of dye, how much of each dye color is needed?
The answers to both the questions are as follows:
We need 3 ounces of red tone, 6 ounces of gray tone, and 5 ounces of a brown tone to make 20 ounces of dye.We need 15 ounces of red tone, 30 ounces of gray tone, and 25 ounces of a brown tone to make 100 ounces of dye.The quantity of specific hair dye produced by given ingredients are:
= 1(1/8) + 3/4 + 5/8= 9/8 + 3/4 + 5/8= (9+6+5)/8 = 20/8 = 5/2ozAs a result, the amount of specific hair dye produced by given ingredients = 5/2qz
To calculate the amount of each ingredient needed to make 1 oz of specific hair dye, multiply the reciprocal of 5/2 by each ingredient.The amount of red tone required to make 1 oz of a specific dye:
= 3/8 × 2/5 = 3/20 oz
Gray tone = 3/1 × 2/5 = 3/10 Oz Brown tone = 5/8 × 2/5 = 1/4 Oz=Now, multiply each by 20.
The amount of red tone required to make 20 oz of a specific dye:
3/20 × 20 = 3 oz
Gray tone = 3/10 × 20 = 6oz Brown tone = 1/4 × 20 = 5ozTo find each dye needed to make 100 ounces of dye, multiply the above amounts by 5.
(Since, 100 = 20 × 5)The amount of red tone required to make 20 oz of specific dye: 15oz
Gray tone is similar: 30 ozBrown tone is: 25 ozTherefore, the answers to both the questions are as follows:
We need 3 ounces of red tone, 6 ounces of gray tone, and 5 ounces of a brown tone to make 20 ounces of dye.We need 15 ounces of red tone, 30 ounces of gray tone, and 25 ounces of a brown tone to make 100 ounces of dye.Know more about ratios here:
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The correct question is given below:
To make a specific hair dye, a hair stylist uses a ratio of 1 1/8 ounces of red tone, 3/4 ounces of a gray tone, and 5/8 ounces of brown tone. If the stylist needs to make 20 ounces of dye, how much of each dye color is needed? If the stylist needs to make 100 ounces of dye, how much of each dye color is needed?
the midpoint of AB is M (2,0). if the coordinates of A are (-3,3), what are the coordinates of B?
Hence , the coordinate of point B is (7 , -3) .
Midpoint refers to some extent that's within the middle of the road connexion 2 points. A centre could be a purpose lying between 2 points and is within the middle of the road connexion the 2 points. If a line is drawn connexion the 2 points, then the centre could be a purpose at the center of the road and is equal from the 2 points.The centre formula is outlined for the points within the coordinate axes. Let (x₁), (y₁) and (x₂), (y₂) be the endpoints of a line section is given by M = (x₁ + x₂ /2 , y₁ + y₂ /2 ).We have given two coordinate A (-3,3) and M (2,0) .
Let the coordinate of B (x, y) .
Using midpoint formula , we get
[tex](2,0) = ( \frac{-3+x}{2} ,\frac{3+y}{2} )[/tex]
On comparing , we get
[tex]\frac{-3+x}{2} =2\\\ \\-3+x = 4\\x = 7[/tex]
[tex]\frac{3+y}{2} =0\\3+y=0\\y=-3[/tex]
We get coordinate (7 , -3) .
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If an employee at Tacos R US gets paid $11.50 per hour. Find his net pay if the
employee works 38 hours in that one week. Employee has a 10% federal tax rate. SS
tax is 6.2% and Medicare tax is 1.45%
the net pay (weekly) is $359.87
How to find the net pay?First, we know that the employee wins $11.50 per hour. The employee works 38 hours per week, then the weekly pay is:
38*$11.50 = $437
Now we need to discount the taxes:
There are 10% from federal tax, 6.2% from social services and 1.45% from medicare.
The total is:
10% + 6.2% + 1.45% = 17.65%
Then we need to discount a 17.65% of the weekly pay, we will get:
$437*(1 - 17.65%/100%) = $437*(1 - 0.1765) = $359.87
We conclude that the net pay (weekly) is $359.87
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f(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2
There are _____ Zeros( how many)
The number of zeros of the polynomial expression given as y(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2 is 5
What are polynomial expressions?Polynomial expressions are mathematical statements that are represented by variables, coefficients and operators
How to determine the number of zeros?The polynomial expression is given as
f(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2
The degree of the above polynomial expression is
degree = 5
The degree of a polynomial expression is the number of zeros of the polynomial
This means that
Zeros = 5
Hence, the number of zeros of the polynomial expression given as y(x)=-4x^5 - 4x^4 - 3x^3 + 11x^2 - x + 2 is 5
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GRAPH the line y=kx+4 goes through point (2,-2)
Please answer sketch the graph of the line
Answer:
Step-by-step explanation:
First plug in the values for x and y:
y=-2
x=2
-2=2k+4
Then just simplify to get k:
-2=2k+4
Minus 4 from both sides
-6=2k
Divide each side by 2
k=-3
I hope this helps!
Find an equation for the line tangent to the circle
x2 + y2 = 100
at the point
(8, −6).
Find conditions on k that will make the following system of equations have a unique solution. To enter your answer, first select whether k should be equal or not equal to specific values, then enter a value or a list of values separated by commas.
Then give a formula in terms of k for the solution to the system, when it exists. Be sure to include parentheses where necessary, e.g. to distinguish 1/(2k) from 1/2k.
kx+y = 3
25x+ky = 3
The system has a unique solution when k =
Answer:
12+2=14odokxjxnxnxnxnjskaowoowsjd
What's the answer someone please help!
Step-by-step explanation:
Across
1.26
2.59
3.19
5.38
6.82
7.62
8.48
9.72
11.40
12.64
Down
1.24
2.59
3.18
4 42
5.32
6.88
7.65
8.42
9.70
10.34
On December 31, 2019, Akron, Inc., purchased 5 percent of Zip Company's common shares on the open market in exchange for $16,050. On December 31, 2020, Akron, Inc., acquires an additional 25 percent of Zip Company's outstanding common stock for $94,000.
During the next two years, the following information is available for Zip Company:
Income Dividends Declared Common Stock
Fair Value (12/31)
2019 $321,000
2020 $79,000 $6,200 376,000
2021 89,000 15,800 478,000
At December 31, 2020, Zip reports a net book value of $280,000. Akron attributed any excess of its 30 percent share of Zip's fair over book value to its share of Zip's franchise agreements. The franchise agreements had a remaining life of 10 years at December 31, 2020.
On Akron’s December 31, 2021, balance sheet, what amount is reported for the Investment in Zip account?
The amount reported for the investment in Zip Company by Akron's December 31, 2021, balance sheet is $143,400, which is the fair value of the Common Stock of Zip Company.
What is the fair value of an investment?The fair value of an investment is the current value and not the historical cost when the investment was made.
Fair value refers to the intrinsic worth of an asset or security.
Data and Calculations:Income Dividends Common Stock Akron's Investment
Declared Fair Value (12/31) in Zip Company
2019 $321,000 $16,050 ($321,000 x 5%)
2020 $79,000 $6,200 376,000 $94,000 ($376,000 x 25%)
2021 89,000 15,800 478,000 $143,400 ($478,000 x 30%)
Excess attributed to share of Zip's franchises = $33,350 ($143,400 - $110,050).
Thus, the amount reported for the investment in Zip Company by Akron's December 31, 2021, balance sheet is $143,400.
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If angle YXZ measures 90 degrees, which statement is true?
A. segment XZ is perpendicular to segment WY
B. WX =XY
C. segment XZ is a perpendicular bisector of segment WY
D. X is the midpoint of segment WY
Answer:
The 1st option is correct.
We are not clear that WX = XY.
3rd is is not correct.
4th option is also incorrect.
Evaluate 13a+4b when a = 2 and b = 5
Answer:
46
Step-by-step explanation:
13a+4b
Substitute
13(2)+4(5)
Multiply
26+20
Add
46
find the lcm of the following set of number using decomposition method.
8,16 and 24 =lcm=
Answer:
48
Step-by-step explanation:
[tex]\mathrm{The\:LCM\:of\:}a,\:b\mathrm{\:is\:the\:smallest\:positive\:number\:that\:is\:divisible\:by\:both\:}a\mathrm{\:and\:}b[/tex]
LCM of 8, 16 and 24
Decompose to prime factors
8/2 = 4; 4/2 = 2. So 8 = 2 x 2 x 2
16 = 8 x 2 = (2 x 2 x 2) x 2
24 = 8 x 3 = (2 x 2 x 2) x 3
2 x 2 x 2 is common, 2 appears once more as a factor in 16 and 3 appears in 24 so the LCM = (2 x 2 x 2) x 2 x 3 = 48
helpnsisiisisisisiwiwiwi
Answer:
For Ai - P = 4 , Q = 4 , R = 4
For Aii - P = 3 , Q = 4 , R = 5
For Aiii - b^13 × b^-2 / b^1 = b^10
Step-by-step explanation:
I hope this is correct answer.
If √128 = 2k , find the value of k.
Answer: k=[tex]{4\sqrt{2}[/tex]
Step-by-step explanation:
√128 = 2k
k=[tex]\frac{\sqrt{128}}{2}[/tex]
k=[tex]\frac{\sqrt{64*2}}{2}[/tex]
k=[tex]\frac{8\sqrt{2}}{2}[/tex]
k=[tex]{4\sqrt{2}[/tex]
If segment AB has a midpoint coordinate at (0, -2) and one endpoint is A(4, 2), what is
the coordinate of the other endpoint B?
( -8 , -8) are the coordinate of the other endpoint B .
What is coordinate ?
To coordinate is to make plans for things to come together or to collaborate with another person to achieve a goal. Coordination occurs when all the details of a journey are planned. When you and a friend divide up a large science project and decide who will do what, that is an example of coordination.Geographic coordinates, namely latitude and longitude, also known as "GPS coordinates," are the applicable literal sense of the word "coordinates." However, (s)he isn't actually expecting a response with coordinates; it's merely a lighthearted manner to inquire as to where you are right now.the coordinates of the second endpoint are ( x₂, y₂ )
x = x₁ + x₂/2
0 = 4 + 0/2
x₂ = -8
y = y₁ + y₂/2
-2 = 2 + y₂/2
-2 -2 = y₂/2
- 8 = y₂
( -8 , -8) are the coordinate of the other endpoint B .
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A 14 yo client with type 1 diabetes
Heighing 110 pounds has on attack of
hypoglycemia. He has been prescribed
0.5g/kg of 50%. dextrose. The 50%
dextrose is supplied in 0.5mg/ml
Prefilled syringes. Calculate the dosage for
the client by converting the weight into Kilograms and the amount of
dextrose in syringe into grams.
Answer:
Step-by-step explanation: it will be having 10 kg each
Decide whether the conditional statement is true or false:
It is noon when the clock strikes 12.
Answer:
True, When the clock transitions from 11:59am to 12:00pm, it is the first hour of noon.
Step-by-step explanation:
what is 3x + 7 = 5x + 15?
Answer:
Step-by-step explanation:
if solved for x the answer is x=−4
step wise step
3x+7= 5x+15
3x-5x=15-7
-2x=8
x=8÷2
×=4
When time equals 0, why is the temperature in the oven not equal to 0? Why does the temperature eventually oscillate around 350°F?
The ambient temperature, aka the outside air temperature, isn't 0 degrees Fahrenheit. This is the reason why the oven isn't at 0 degrees Fahrenheit when the oven is off. For example, if it is 68 degrees Fahrenheit outside, then the oven's temperature is likely around this figure when it is off.
------------------------------
The way the oven works is that it heats the air using a gas or electric source. Once reaching 350 or slightly higher, the oven burner will turn off for a set period of time. This is so the temperature doesn't go too far over 350.
After the burner is turned off, the air inside the oven is still really hot and will stay around 350 for a while. But the temperature will slowly decrease. Once dipping slightly below 350, the oven will turn back on to heat back up to 350 again. This process repeats over and over.
This explains why you see the oscillating bouncing curve like this. It also explains why ovens seem to go on or off in the middle of a baking session.