Answer:
$12,921.09
Step-by-step explanation:
9000(1.041)⁹
9000(1.4367641386)
≈$12,921.09
The amount of money Darren owe on this debt in 9 years by compounding continuously is $12,915.
Given that, principal=$9,000, rate of interest=4.1% and time period =9 years.
What is the compound interest?Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.
The formula used to find the compound interest = [tex]Amount=P(1+\frac{r}{100})^t[/tex]
Now, [tex]Amount=9000(1+\frac{4.1}{100})^9[/tex]
= 9000×[tex](1+0.041)^9[/tex]
= 9000×[tex](1.041)^9[/tex]
= 9000×1.435
= $12915
Therefore, the amount of money Darren owe on this debt in 9 years by compounding continuously is $12,915.
To learn more about the compound interest visit:
https://brainly.com/question/14295570.
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the qestion is the picture
Answer:
B.
Step-by-step explanation:
choice A. is Equivalent
choice C. is Equivalent also
choice D. should be Equivalent also i believe...
choice B is NOT Equivalent
so your answer to this question should be choice B.
good luck!
A car rental charge is $100 plus $5.00 per mile traveled. Create an equation for the situation above.
Find the m∠Z.
12degrees
15.5
4.4
47.7
Using Sine rule,
[tex] \frac{\sin 96 \degree}{48}=\frac{\sin Z}{10}\\
\implies \sin Z=\frac{5\sin (96\degree)}{24}\\
\implies Z \approx 12\degree[/tex]
What is the 30th term of the linear sequence below? −4, −1, 2, 5, 8
Answer:
83
Step-by-step explanation:
The nth term is an=3n−7 .
30*3=90
90-7=83
so the 30th term would be 83
A chemist has 500 mL of a 30% acid solution. She adds x milliliters of a 10% acid solution. Which statement is true about the graph of the function that represents the concentration of the final solution?
The horizontal asymptote y = 30 means that the final concentration will always be less than 30%.
The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.
The vertical asymptote x = 500 means that the volume of the solution will always be greater than 500 mL.
The vertical asymptote x = 0 means that the volume of the solution will always be greater than 0 mL.
Pretty sure the answer is B The horizontal asymptote y = 10 means that the final concentration will always be greater than 10%.
Step-by-step explanation:
Since the 10 % solution that you're adding to the 30% solution is 10% acid when you add it to the 30 acid percent solution it would never decrease the acidity levels farther than 10 percent no matter how much you put because the solution your adding is at a 10% acidity and the other solution is 30% acidity and has a higher acidity level than the 10% so it could never go lower than the solution you are adding to it.
Really hope I did an okay job at explaining.
Answer:
B on edge
Step-by-step explanation:
Passed the test
Determine the intercepts of the line.
Answer:
Hi!
The x-axis is the line that goes horizontal (from left to right) and the y-axis is the line that goes vertical (up and down). Intercepts are points that meet or intersect the axis. The x-intercept is (-40,0). The y-intercept is (0,15).
Hope this helps!
xx gloriouspurpose xx
Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smaller number. Let x represent the smaller number and y represent the larger number. Which equations represent this situation? y = negative four-thirds x + 31. y = 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = 2 x + 7. y = negative four-thirds x + 31. y = negative 2 x + 7. y = negative four-thirds x + StartFraction 31 Over 3 EndFraction. Y = negative 2 x + 7.
Answer:
Let x represent the smaller number and y represent the larger number
For the first equation
Four times a number added to 3 times a larger number is 31 is written as
4x + 3y = 31
Making y the subject we have
3y = - 4x + 31
Divide both sides by 3
That's
[tex]y = - \frac{4}{3} x + \frac{31}{3} [/tex]
For the second equation
Seven subtracted from the larger number is equal to twice the smaller number is written as
y - 7 = 2x
Making y the subject
We have
y = 2x + 7Hope this helps you
Answer:
first one (A)
Step-by-step explanation:
find the value of the equation which is in below :
[tex]1 \div 4 + \sqrt{3} [/tex]
plz give the answer with step by step explanation
Answer:
[tex]5\sqrt{3}[/tex]
Step-by-step explanation:
[tex]1/4+\sqrt{3} \\1/4+\sqrt{3} (Criss cross)\\1+4\sqrt{3} \\5\sqrt{3}[/tex]
Hope I am correct
According to the Rational Root Theorem, which is not a possible solution of the
equation 2x4 - 5x3 + 10x2 - 9 = 0 ?
Answer:
5/2
Step-by-step explanation:
Possible rational roots are ...
±(divisor of 9)/(divisor of 2)
So, the possibilities are ...
±1/2, ±1, ±3/2, ±3, ±9/2, ±9
The one on your list that is not among these is 5/2.
5/2 is not a possible rational root.
round off 53.96 to the nearest tenth
Answer:
54.0
Step-by-step explanation:
53.96
The bold number is in the tenth form and needs rounding off. So look at the number after the bold number (6).
Now 6 falls off the 5 or greater category, meaning that you have to add one to the bold number.
9 + 1 = 10
Now since the number is 10, you add the number before the bold number by 1 (underlined number) and replace the bold number by 0.
53.96
54.00
Since you are focusing on the tenth place, keep the zero sitting on that spot.
54.0
A quadrilateral has its interior angles X, 47, 95, 82. Find
the value of x
Answer:
x = 136
Step-by-step explanation:
A quadrilateral always has angles that sum to 360. Thus, 47 + 95 + 82 + x = 360. Subtract 47, 95, and 82 from each side and get x = 136.
Hope it helps <3
in a town, 11 000 people out of the total population of 50 000 are aged under 18. What percentage of the population is aged under 18 ?
Answer:
22%
Step-by-step explanation:
1- 11000/50000 = 0.22
2- 0.22 x 100 = 22%
.. ..
When you make an electronic payment from your checking account, the bank __________ identifies the bank where you have an account. A:Withdrawal number b:Deposit number c:Certified number d:Routing number
Answer:
d: Routing number
Step-by-step explanation:
To understand how to get d as your answer, when you go to any bank and insert your credit/debit card, it compares the routing number to the bank and sees if you have an account at the bank.
Find the y-intercept of the line on the graph
Answer: The Y intercept is 2
Step-by-step explanation: Your Y axis is where the line crosses the graph vertically, or going up and down. If you see, your line crosses vertically at 2. Your X intercept is -2.
Complete the square
to find the vertex
of this parabola.
2
X -- 4 y-12 x+68=0
([?], [ ]
PLEASE HELP ASAP
Answer: 6,8
Step-by-step explanation:
Work out the surface area of this triangular prism
Answer:
1008 [tex]cm^2[/tex]
Step-by-step explanation:
Given:
Triangular prism with
Base of triangle = 5 + 9 = 14 cm
Height of triangle = 12 cm
Here, we have 3 faces of the prism as a rectangle, all have width = 20 cm
Lengths of faces = 13cm ,14cm and 15 cm respectively
To find:
Total surface area = ?
Solution:
3 faces are rectangular shape and 2 faces are triangular shape.
[tex]Area\ of\ rectangle = Length \times Width[/tex]
The formula for Total Surface Area of a triangular prism is given as:
[tex]TSA = 2 \times \text{Area of triangular base}+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 2 \times \dfrac{1}{2}\times Base \times Height+{\text{Area of rectangular faces}}\\\Rightarrow TSA = 14 \times 12 + 15 \times 20+ 13 \times 20+ 14 \times 20\\\Rightarrow TSA = 168 + 840\\\Rightarrow TSA = 1008\ cm^2[/tex]
So, the total surface area of the given triangular prism is 1008 [tex]cm^2[/tex].
Help, please!! What is the mR
Answer: I think it’s B (25)
Step-by-step explanation:
Answer:
Using the sine rule,
36/sin(50)=20/sin(R)
46.9=20/sin(R)
Sin(R)=46.9/20=0.43
R=Sin¯¹(0.43)=25.2°=25°
R=25°
WILL GIVE BRAINLIEST AND 25 POINTS! Which of the following statements are true? Check all that apply. A. If any row of a square matrix is zero, its determinant is zero. B. If all numbers in a matrix are equal, its determinant is zero. C. The determinant of any identity matrix is zero. D. The determinant of a matrix with all positive numbers is always positive. E. The determinant of any zero matrix is zero.
Answer:
Option A, B and E
Step-by-step explanation:
Determinant = ad-bc
Let's look at the picture and solve all
Option A)
If the row ( c and d ) is zero, the determinant will be zero
=> a(0)-b(0)
=> 0-0
=> 0 (So, True)
Option B)
If a = b = c = d (Let's say 1), the determinant will be
=> (1)(1)-(1)(1)
=> 1-1
=> 0 (So, True)
Option C)
An Identity matrix is
=> [tex]\left[\begin{array}{ccc}1&0\\0&1\end{array}\right][/tex]
So , it's determinant will be
=> (1)(1)-(0)(0)
=> 1-0
=> 1 (So, False)
Option D)
The determinant with matrix will all positive numbers can be negative as well as positive. This is not necessary that it would be positive. (So, False)
Option E)
A zero matrix is
=> [tex]\left[\begin{array}{ccc}0&0\\0&0\end{array}\right][/tex]
So, it's determinant is:
=> (0)(0)-(0)(0)
=> 0-0
=> 0 (So,True)
Answer: A B E
A. If any row of a square matrix is zero, its determinant is zero.
B. If all numbers in a matrix are equal, its determinant is zero.
E. The determinant of any zero matrix is zero
Step-by-step explanation:
edge assignment
x divided by 6 - 11 = -10
Answer:
x = 50
Step-by-step explanation:
[tex]\frac{x}{6-11} =-10\\\\\frac{x}{-5} =-10\\Cross-Multiply\\x = - 10\times -5\\x = 50[/tex]
Jenny starts running at a pace of 10 miles per hour. Her calf starts to hurt after 12 minutes, so she slows down to 6 miles per hour for the rest of her run. If the total distance she runs is 5 miles, how many minutes was the run, in total?
Answer:
42 minutes
Step-by-step explanation:
Here we want to calculate the number of minutes ran in total.
Kindly note that;
Time = distance/speed
Her starting speed is 10 miles/hour
but she ran for 12 minutes.
Kindly note that 12 minutes = 12/60 = 1/5 = 0.2 hour
So total distance in the first 12 minutes is speed * time = 10 * 0.2 = 2 miles
Now the rest of distance to run would be ;
5 -2 = 3 miles
She ran 3 miles at a speed of 6 miles per hour.
Time spent here is 3/6 = 0.5 hours which is same as 30 minutes
Total time spent = 30 + 12 = 42 minutes
Ms. Daffy tells you that the longest side of her right-triangular garden is 26m and one of the sides is 14m. A. She asks you to find the other side of the garden.
Answer:
22m
Step-by-step explanation:
The computation is shown below:
Since it is a right-triangular garden so we use the pythagoreus theorem
As we know that
The C^2 refers to the longest side of the right-triangular garden
So,
a^2 + b^2 = c^2
a^2 + 14^2 = 26^2
a^2 + 196 = 676
a^2 = 480
So a = 22m
Hence, the other side of the garden is 22m
PLEASE ANSWER THIS VERY FAST!! A gym membership costs $40 per month plus a one time sign up fee of $20. How many months would it take to spend $1000 for the gym membership? about 24 months or 2 years. about 12 months or 1 year. about 36 months or 3 years.
Answer:
About 24 months
Step-by-step explanation:
1000-20= 980
980/40= 24.5
Answer: about 24 months
Step-by-step explanation:
First subtract 20 from 1000 and then divide the awnser by 40
1000-20= 980
1000/ 40= 24.5
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
A.
Step-by-step explanation:
The equation is ax^2 + bx + c = 0.
a = -1, and b = 1.
-1x^2 + 1x + c = 0
-x^2 + x + c = 0
Hope this helps!
If the ratio of the surface areas of two similar geometrical solids is given by 121:36, what is the
ratio of their volumes?
Answer:
1331:216
Step-by-step explanation:
Given the ratio of the lengths of two similar solids as a:b
The ratio of the surface areas = [tex]a^2:b^2[/tex]
The ratio of the volume = [tex]a^3:b^3[/tex]
We are given that the ratio of the surface areas of two similar geometrical solids is given by 121:36
Therefore:
[tex]a^2:b^2=121:36\\\implies a^2:b^2=11^2:6^2\\\implies a:b=11:6[/tex]
Since the ratio of the lengths is 11:6
The ratio of their volumes = [tex]11^3:6^3[/tex]
=1331:216
The ratio of the volume of the two similar geometrical solids is 1331:126.
Guys, anyone pls help me..
Answer:
formula of circumference =p=theater÷360×2×pie×r
Step-by-step explanation:
so its a right angle.so =90%
the answer is 15.70
round off.=16cm
Answer:
Step-by-step explanation:
1. ON^2=10^2-8^2=100-64=36
ON=V36=6 cm
MON=MO+ON=10+6=16 cm
2. MO=ON=V13^2=12^2=V169-144=V25=5cm
MON=MO=ON=5+5 =10cm
A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?
Answer:
y = −1/3x+17/3
Step-by-step explanation:
The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)
Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)
Midpoint formula: [tex]( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]
So perpendicular bisector of this line is simply a line with slope −1/3 that passes through point (5, 4)
y - 4 = -1/3 (x-5)=
y = −1/3x+17/3
FUNCTIONS HELP ASAP!!!!!
Answer: A
Step-by-step explanation:
For Kendra to profit $45 after spending $80 she would have to make $125 off of her 100 donuts. Thus, each donut costs 1.25, thus the 1.25n of the equation. However, you must also take into account the 80 dollar fee she paid(Thus the - 80).
to get t school each morning vanessa takes a horse 19.33 kilometers and a train 2.27 kilometers . in total the journey takes 26.48 minutes how many kilometers is vanessa,s journey in total?
Answer:
Step-by-step explanation:
19.33 + 2.27 + 26.48 = Total journey
19.33 + 2.27 + 26.48 = 48.08 km
Therefore, the total journey is 48.08 km
In the diagram, how many circles are there for each square?
DA 1
Answer:
Where is the figure or picture
HELP PLEASE I WILL GIVE 13 POINTS
Answer:
this difference indicates that the results are independent but not reliable.