Answers
Answer:
The amount is $18548.38 and the interest is $2548.38
Steps for solution:
First you want to use the formula A=P(1+[tex]\frac{r}{n}[/tex])^n*t. A= total amount, P= principle or amount of money deposited, r= annual interest rate, n= number of times compounded per year. and t= time in years. In the problem we have P= $16000, r= 3%, n= 1 and t= 5 years. The first picture is the formula used to find the total amount. After we use the formula A=P+I, since A=18548.38 and P=16000. The second picture represents the interest after 5 years.
Related Questions
Helppp A local office supply store charges 18 to set up their business card printing machine with the design and $0.15 in materials per business card to print
Answers
Answer: It’s 18+0.15x divided by x so it’s B
Step-by-step explanation:
The expressions that represent average cost A(x) are B) A(x) = (18 + 0.15x)/x
and F) A(x) = 18/x + 0.15.
What is the weighted average?When the average is not of any individual rather it is an average of two or more groups or sets it is called a weighted average.
To obtain the weighted average we multiply no. of individuals by their averages and sum the next group in the previous procedure and divide them by the total no. of individuals.
Given, A local office supply store charges $18 to set up their business card printing machine with the design and $0.15 in materials per business card to print.
The expression that represents average cost A(x) = (set up cost + cost per business card×no of cards) divided by no. of cards.
A(x) = (18 + 0.15x)/x.
Also A(x) = 18/x + 0.15.
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Help finding the missing length
Answers
Answer:
4x2-6x+6
Step-by-step explanation:
(9x2-2x) +(3x-5)+(m) =13x2-5x+1
(13x2-5x+1)-(9x2+x-5)=m
The probability distribution function for the discrete random variable where x is equal to the number of red lights drivers typically run in a year is as follows. x 0 1 2 3 p(x) 0.76 0.15 0.05 (a) Fill in the missing probability. x 0 1 2 3 p(x) 0.76 0.15 0.05 (b) What is the mean of this discrete random variable
Answers
Using probability concepts, it is found that:
a) The missing value is 0.04.
b) The mean is of 0.37.
The distribution is given by:
[tex]P(X = 0) = 0.76[/tex]
[tex]P(X = 1) = 0.15[/tex]
[tex]P(X = 2) = 0.05[/tex]
[tex]P(X = 3) = x[/tex]
Item a:
The sum of all the probabilities has to be 1, that is:
[tex]\sum_{i = 0}^{3} P(X = i) = 1[/tex]
Thus:
[tex]0.76 + 0.15 + 0.05 + x = 1[/tex]
[tex]0.96 + x = 1[/tex]
[tex]x = 0.04[/tex]
The missing value is 0.04.
Item b:
The mean is given by the sum of each outcome multiplied by it's probability, thus:
[tex]E(X) = 0(0.76) + 1(0.15) + 2(0.05) + 3(0.04) = 0.37[/tex]
The mean is of 0.37.
A similar problem is given at https://brainly.com/question/20709747
jun has two less more than three times as many books as harriet. if jun has 13 book how many books does harriet have plsss helpp
Answers
the world population in 2016 was estimated to be 7.4 billion people and it is increasing by about 1.1% per year. assume that this percentage growth rate remains constant through 2030 explain why the population is an exponential function of time. what would you expect the world population to be in 2030
Answers
Answer:
1
Step-by-step explanation: i guessed
Watch help video
Members of a lacrosse team raised $1431.75 to go to a tournament. They rented a bus
for $1051.50 and budgeted $29.25 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament.
Equation:
Answer: p =
Submit Answer
attempt 1 out of 2
Answers
Step-by-step explanation:
p = (1431.75 - 1051.50)/29.25
p = 13
What graph represents a function with a growth factor of 5?
Answers
Answer:
The answer should be C!
Step-by-step explanation:
When you multiply the y value 0.04 and 5 it comes out as 0.02.
20 cm
Den
mm
Base, heighi.
and lengu are
Above
Answers
Answer:
500
Step-by-step explanation:
Volume of a triangular prism formula
The volume formula for a triangular prism is (height x base x length) / 2, as seen in the figure below: ( attatchment )
So, you need to know just three measures: height, base, and length, in order to calculate the volume.
Please quickly answer will mark brainliest (100 points) also say answer in text
Answers
Step-by-step explanation:
square root of 196 is 14
square root of 169 13
square root of 121 is 11
square root of 225 is 15
square root of 144 is 12
square root of 100 is 10
Here is a better picture!
Answers
Answer:
Part A: A) [tex]\frac{4y^{10}}{3w}[/tex]
Part B:
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).
Step-by-step explanation:
[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]
Part A:Use the Quotient Rule of Exponents:
[tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex]
The 28 and 21 can be reduced by dividing both of them by 7. For the exponential expressions with the same base, you could subtract their exponents. I'll do each base separately so it doesn't get confusing.
[tex]\frac{28y^{15}w^{3} z^{7}}{21y^{5}w^{4} z^{7}}[/tex]
Base y:[tex]y^{15-5}[/tex] = [tex]y^{10}[/tex] (in the numerator).
Base w:[tex]w^{4-3}[/tex] = w (in the denominator. The "w" in the numerator cancels out).
Base z:[tex]z^{7-7}[/tex] = [tex]z^{0} = 1[/tex] We used the Zero Exponent Rule here, were it states: [tex]a^{0} = 1[/tex]. (unnecessary to include in the final answer).
Altogether, you'll have:
Option A: [tex]\frac{4y^{10}}{3w}[/tex]
Part B:
C) Quotient Rule of Powers (explained in Part A of this post).
D) Zero Exponent Rule (explained in Part A of this post, in solving for base z).
Evaluate the expression
6a - 2b when a = 5, b=7
Answers
[tex] = > 6a - 2b[/tex]
[tex] = > 6(5) - 2(7)[/tex]
[tex] = > 30 - 14[/tex]
[tex] = > 16[/tex]
What is the value of y?
Y
Y
60
O A. 120°
B. 60°
C. 40°
O D. 30°
Answers
Answer:
B. 60°
Step-by-step explanation:
1. The measure of all angles in a triangle sum up to 180°. This means that y + y + 60 = 120.
2. (Solving)
Step 1: Simplify both sides of the equation.
[tex](y+y)+(60)=180[/tex] [tex]2y + 60 = 180[/tex]Step 2: Subtract 60 from both sides.
[tex]2y + 60 - 60 = 180 - 60[/tex] [tex]2y = 120[/tex]Step 3: Divide both sides by 2.
[tex]\frac{2y}{2}=\frac{120}{2}[/tex] [tex]y = 60[/tex]Step 4: Check if solution is correct.
[tex](60)+(60)+60 = 180[/tex] [tex]120 + 60 = 180[/tex] [tex]180 = 180[/tex]Therefore, the answer is B. 60°.
what is the slope of the line containing the points (3,-7) and (-3,7)
Answers
Answer:
-7/3
Step-by-step explanation:
To find the slope, we use the slope formula
m= ( y2-y1)/(x2-x1)
= ( 7 - -7)/(-3 -3)
= ( 7+7)/( -6)
= 14/-6
= 7/-3
= -7/3
Step-by-step explanation:
m = y2-y1 / x2-x1
= 7+7 / -3-3
= 14/-6
= -7/3
Find an equation of the tangent line to the hyperbola x2 a2 − y2 b2 = 1 at the point (x0, y0).
Answers
The equation of the tangent line is [tex]y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]
To find the tangent to the hyperbola [tex]\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }[/tex] at (x₀, y₀), we differentiate the equation implicitly to find the equation of the tangent at (x₀, y₀).
So, [tex]\frac{d}{dx} (\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }) = \frac{d0}{dx}\\\frac{d}{dx} \frac{x^{2} }{a^{2} } - \frac{d}{dx}\frac{y^{2} }{b^{2} }= 0\\\frac{2x }{a^{2} } - \frac{dy}{dx}\frac{2y }{b^{2} } = 0\\\frac{2x }{a^{2} } = \frac{dy}{dx}\frac{2y }{b^{2} } \\\frac{dy}{dx} = \frac{b^{2}x }{a^{2}y }[/tex]
So, at (x₀, y₀)
[tex]\frac{dy}{dx} = \frac{b^{2} x_{0} }{a^{2} y_{0} }[/tex]
So, the equation of the tangent line is gotten from the standard equation of a line in point-slope form
So, [tex]\frac{y - y_{0} }{x - x_{0} } = \frac{b^{2} x_{0} }{a^{2} y_{0} } \\y - y_{0} = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) \\y = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) + y_{0} \\y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]
So, the equation of the tangent line is [tex]y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2} }{a^{2} y_{0} } + y_{0}[/tex]
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Figure ABCD is transformed to figure A prime B prime C prime D prime, as shown: A coordinate grid is shown from negative 5 to 0 to 5 on both x -and y-axes. A polygon ABCD has A at ordered pair 1, 3, B at ordered pair 3, 4, C at ordered pair 2, 1, D at ordered pair 1, 1. A polygon A prime B prime C prime D prime has A prime at ordered pair negative 3, 3, B prime at ordered pair negative 5, 4, C prime at ordered pair negative 4, 1, D prime at ordered pair negative 3, 1. Which of the following sequences of transformations is used to obtain figure A prime B prime C prime D prime from figure ABCD? (1 point) Reflection about the x-axis followed by a translation to the right by 2 units Reflection about the y-axis followed by a translation to the left by 2 units Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 2 units Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 2 units
Answers
Answer:
i need this answer too
Answer:
The appropriate choice is the 2nd one ...
... Reflection over the y-axis followed by a translation down by 5 units.
Step-by-step explanation:
The transformed figure has the opposite orientation (A'B'C'D' is counterclockwise, whereas ABCD is clockwise), so a reflection is involved. The sgment C'D' is still at the bottom, as is CD, so the reflection must be across a vertical line.
In the attached, the light-blue figure A''B''C''D'' shows the reflection of ABCD across the y-axis. It is easy to see that figure A'B'C'D' is a translation of that 5 units downward.
The appropriate choice is the 2nd one ...
... Reflection over the y-axis followed by a translation down by 5 units.
And this is not the only question I got to get five right so if you get the question right wait until I make another question please and thank you
Answers
9514 1404 393
Answer:
A rotation 90° CW followed by translation right 5 units.
Step-by-step explanation:
It is easier to choose the right composition of transformations if we know what your choices are.
Figure F has an orientation that is 90° CW from that of figure E, so a 90° CW or 270° CCW rotation could be one of the transformations.
Rotation about the origin will move the figure so that the acute angle is in a different quadrant. In order to return it to the same quadrant a translation is required. The amount of translation will depend on whether it comes before or after the rotation.
Possible sequence of motions are ...
A rotation 90° CW followed by translation right 5 unitsTranslation up 5 units followed by rotation 90° CWPls help on this khan a. homework
Answers
Answer
The answer is C
Explanation:
1.2 divided by 4 = 0.3
2.4 divided by 8 = 0.3
3.9 divided by 13 = 0.3
**hope this helps.... brainly please if possible
x ⋅ x = ? (1 point)
ttm
Answers
Answer:[tex]x 6[/tex]
Step-by-step explanation: Im not to good at math but hope that hlps
Answer:
x^x
Step-by-step explanation:
hope this helps :)
Triangle ABC has vertices A(-3,2) B(0,1) and C(-2,-3).
1. Graph triangle ABC and its reflection across the line x=-2?
2. What are the coordinates of triangle A'B'C' if triangle ABC is reflected across the x-axis?
3. What are the coordinates of triangle A'B'C' if triangle ABC is reflected across the y-axis?
4. What are the coordinates of triangle A'B'C' if triangle ABC is reflected across the line y=x?
Answers
If triangle ABC is reflected across the line x = -2, the new point is A'(-1, 2), B'(2, 1) and C'(-2, -3)
If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)
If triangle ABC is reflected across the y axis, the new point is A'(3, 2), B'(0, 1) and C'(2, -3)
If triangle ABC is reflected across the line y = x, the new point is A'(2, -3), B'(1, 0) and C'(-3, -2)
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Triangle ABC has vertices A(-3,2) B(0,1) and C(-2,-3).
1) If triangle ABC is reflected across the line x = -2, the new point is A'(-1, 2), B'(2, 1) and C'(-2, -3)
2) If triangle ABC is reflected across the x axis, the new point is A'(-3, -2), B'(0, -1) and C'(-2, 3)
3) If triangle ABC is reflected across the y axis, the new point is A'(3, 2), B'(0, 1) and C'(2, -3)
4) If triangle ABC is reflected across the line y = x, the new point is A'(2, -3), B'(1, 0) and C'(-3, -2)
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Yesterday, Maura made $142 at her waitressing job. $67 was tips, and the rest was her regular rate of $10 per hour. How long did Maura work yesterday?
Answers
$75 divided by $10 = 7.5 hours
If Maura made $142 at her waitressing job. $67 was tips, and the rest was her regular rate of $10 per hour then she worked for 7.5 hours.
The total amount she made is the sum of her tips and her regular rate:
Total Earnings = Tips + Regular Rate
Given that:
Tips = $67
Regular Rate = $10 per hour
Total Earnings = $142
We can set up the equation:
142 = 67 + 10h
Now, solve for "h" (the number of hours Maura worked):
10h = 142 - 67
10h = 75
h = 75 / 10
h = 7.5
Hence, Maura worked for 7.5 hours yesterday.
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Para monetizar contenidos en una red social, los videos nuevos que sean subidos deben superar las 1300 visitas diarias, y para monetizar los antiguos, han de tener mínimo 3000 visualizaciones y acumular 1000 visitas diarias.
¿Con qué expresiones algebraicas se pueden visualizar las visitas que han de tener cada día ambos tipos de video?
Answers
Answer:
Upcoming technology made of large organic molecules and genetically engineered protein is calledRelated to the Business means, directly or indirectly, used in, arising from or relating in any manner to the BusinessWelcome to Gboard clipboard, any text you copy will be saved here.
If triangles ABC and XYZ are similar, what is the length of side b?
Answers
By doing 15 / 10, we can find how much the right triangle has been reduced compared to the left triangle. So, it’s been reduced by 0.5
Because we’re trying to find side b which is on the larger (left) triangle, we do 8 x 1.5 which is 12
PLEASE HELP!!!!!!!!!!!!!!!!!!!
What are the values of a, b and c for the following equation:
2x2 +9x = 18
Answers
B: 5
C: 7
Codification biggest ig fh fh u I ygrrhji so so do to to do fh
What is the length of side s of the square shown below? 45° 6 30
A. 34
B. 6
C. 3
D. 6-2
E. 2
F. VE
Answers
Answer:
The correct answer should be D.
Step-by-step explanation:
A sales person at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold
Answers
Step-by-step explanation:
8 vehicle.
Step-by-step explanation:
Given: Monthly salary of salesperson is $2400
Incentive of salesperson is $250 per vehicle sold.
First, lets compute income to earned apart from salary.
∴ Deduct salary from the target amount
\$ 4400-\$ 2400= \$ 2000$4400−$2400=$2000
∴ 2000 need to be earned only through incentive, which is2000needtobeearnedonlythroughincentive,whichis250 per vehicle sold.
Now, solving to get number vehicles to be sold to earn $2000 as incentive.
Number of vehicle= \frac{2000}{250}= 8\ vehicles2502000=8 vehicles
∴ 8 vehicles need to be sold by salesperson to get total earning as $4400
choose the equation of the graphed function
Answers
Nick walked ¾ of a mile in 12 minutes. At the same pace, how far could he walk in 48 minutes?
Answers
Answer:
3 miles
Step-by-step explanation:
To get from 12 to 48 we can multiply by 4. So if we multiply 3/4 by 4 we would get the number of miles:
3/4 × 4 is the same as 3/4 × 4/1 which is 12/4 or 3
He could walk 3 miles in 48 minutes.
Hope this helps!
Use intercepts to graph the linear equation 5x+3y=30
Answers
30/5 is equal to 6
this is your x-intercept
30/3 is equal to 10
this is your y-intercept
I think you know what to do now :)
(0,10) and (6,0)
How can you compare data sets?
Answers
Answer:
Grapgical charts and data plots
Step-by-step explanation:
Step-by-step explanation:
Hope it helps you!!9. The sum of three consecutive EVEN integers is 50 more than the third
integer. Find the integers.
Answers
Answer:
Step-by-step explanation:
The smallest integer is 2x - 2
The middle integer = 2x
The largest integer = 2x + 2
2x - 2 + 2x + 2x + 2 = 2x + 2 + 50 Combine
6x = 52 + 2x Subtract 2x from both sides
6x-2x = 52 Combine
4x = 52 Divide both sides by 4
4x/4 = 52/4
x = 13
The three integers are
2x - 2 = 24
2x = 26
2x + 2 = 28