Answers
Answer:
compounded quaterly
Step-by-step explanation:
hope this helps
plzz mark me brainliest
Answer:
Let's say:
AM = current amount of money = 3000
APR = interest rate = 2.25
n = number of compounding periods
t = 5 years
Final amount of money:
FAM = AM x [1 + 2.25/n]^(n x 5) = 3000 x [1 + 2.25/n]^(n x 5)
Annual Compounding: FAM = 3000 x (1 + (2.25% / 1))^(1 x 5) = 3353.03
Quarterly Compounding: FAM = 3000 x (1 + (2.25% / 4))^(4 x 5) = 3356.16
Monthly Compounding: FAM = 3000 x (1 + (2.25% / 12))^(12 x 5) = 3356.86
Continuous Compounding: FAM = 3000 x 2.7183^(2.25% x 5) = 3357.22
=>Continuous Compounding gives largest benefit.
=> Option C is correct
Hope this helps!
:)
Related Questions
I need some help with this answer please :)
Answers
Answer:
1/9 is my guess
Step-by-step explanation:
On which of the following lines does the point (–3, –1) lie? y = −4x − 6 y = 3x + 9 y = −3x − 10 y = 5x − 1
Answers
Answer: [tex]y = -3x - 10[/tex]
Step-by-step explanation:
You can substitute the value "-3" for x and "-1" for y in each of the equations given. Whichever equation is correct when simplified is the line that the point (-3, -1) lies on:
[tex]-1 = -4(-3)-6\\\\-1=3(-3)+9\\\\-1=-3(-3)-10\\\\-1=5(-3)-1[/tex]
Simplifying the right side of each equation:
First equation: -1 = 6
Second equation: -1 = 0
Third equation: -1 = -1
Fourth equation: -1 = -16
The correct answer is "[tex]y = -3x - 10[/tex]".
Suppose that the amount of algae in a pond doubles every 3 hours. If the pond initially contains 50 pounds of algae, how much algae will be in the pond after 8 hours.In this exponential situation, what would the y-intercept be? CHOICES:
(0,3)
(0,2)
(0,50)
(0,8)
Answers
Answer:
After 8 hour there will be 317.64 pounds of algae.
y-intercept: (0, 50)
Step-by-step explanation:
At time = 0 hours, there are 50 pounds of algae, after 3 hour there will be 100 pounds of algae, after 6 hour there will be 200 pounds of algae, and so on.
Exponential growth is modeled by the following equation:
y = x0*(1 + r)^t
where x0 is the amount of algae at the beginning, r is the rate of change, and y is the amount of algae after t hours. Replacing with data:
100 = 50*(1 + r)^3
2 = (1 + r)^3
ln(2) = 3*ln(1 + r)
r = exp(ln(2)/3) - 1
r = 0.26
This result can be checked as follows
y = 50*(1 + 0.26)^6 = 200
After 8 hours:
y = 50*(1 + 0.26)^8 = 317.64
The y-intercept corresponds to t = 0
y = 50*(1 + 0.26)^0 = 50
can someone please help i need to write the equation of the green line
Answers
f(x) = ax + b
(0, -4):
f(0) = a•0 + b
f(0) = b ⇒ b = -4
(12, 0):
0 = a•12 + b
0 = 12a - 4
4 = 12a
[tex]a=\frac4{12}=\frac13[/tex]
The equation of the green line:
[tex]\underline{\,y=\frac13x-4\,}[/tex]
or: [tex]y=\frac13x-4[/tex]
[tex]-\frac13x+y+4=0\\\\\underline{x-3y-12=0}[/tex]
What is the "unknown" in this problem that we need to find?
Answers
Answer:sorry i cant help but i dont see an unknown in this question please edit your answer so we can see something.Thank you.
Step-by-step explanation:
The sum of the first 333 terms of a geometric series is 171171171 and the common ratio is \dfrac23
3
2
start fraction, 2, divided by, 3, end fraction.
What is the first term of the series?
Answers
Answer:
The first term of the series is 81
Step-by-step explanation:
The sum of the nth term of a geometric sequence is expressed as shown;
Sn = a(1-rⁿ)/1-r for r<1
a is the first term
r is the common ratio
n is the number of terms
Given Sn = 171
r = 2/3
n = 3
a =?
Substituting the values in the equation
171 = a(1-(2/3)³)/1-2/3
171 = a(1-8/27)/(1/3)
171 = a(19/27)/(1/3)
171 = a × 19/27 × 3/1
171 = a × 19/9
Cross multiplying
171×9 = 19a
1539 = 19a
a = 1539/19
a = 81
The first term is 81
Answer:
81
Step-by-step explanation:
What is the surface area of a conical grain storage tank that has a height of 62 meters and a diameter of 24 meters? Round the answer to the nearest square meter.
2,381 m2
2,790 m2
2,833 m2
6,571 m2
Answers
Study the following diagram, where points C and D lie on circle A.
Point B lies in the exterior of circle A.
Angle ACB and angle ADB are right angles.
The diagram as described in the problem, where segment B C equals negative 2 x plus 85 and segment B D equals 5 x minus 48.
What is the length of BC¯¯¯¯¯¯¯¯?
Enter the correct value.
Answers
Answer:
Triangle ACB = Triangle ADB
=> BC = BD
=> -2x+85 = 5x - 48
=> x = 133/7 = 19
=> BC = -2 x 19 + 85 = 47
If we are provided with the value of AC or CD, we can calculate the length of BC is 47
Let's first determine the lengths of segment BC and BD in terms of x using the given expressions:
BC (B C¯¯¯¯¯¯¯¯) = -2x + 85
BD (B D¯¯¯¯¯¯¯¯) = 5x - 48
Now, as ACB and ADB are right angles, we can utilize the property of perpendicular chords intersecting a circle to find the value of x. When two chords intersect inside a circle, the product of their segments is equal. Therefore, we can set up the following equation:
BC * BD = (AC * CD) [Property of perpendicular chords intersecting]
Substitute the values:
=> BC = BD
When we simplify this one, then we get,
-2x+85 = 5x - 48
Then the value of x is calculated as,
x = 133/7 = 19
BC = -2 (19) + 85 = 47
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Which set of ordered pairs represents y as a function of x? A) {(0, 0), (−1, 2), (−1, −2), (−2, 4), (−2, −4)} B) {(0, 0), (1, 1), (2, 4), (3, 9), (3, 16)} C) {(0, 0), (0, 1), (0, 2), (0, −1), (0, −2)} D) {(0, 0), (−1, −0.5), (−2, −1), (−3, −1.5), (−4, −2)}
Answers
Answer: D
Step-by-step explanation:
No two coordinates can have to same input(x) and different outputs(y)
Option A represents y as a function of x because each x-value is associated with only one y-value.
Explanation:To determine if a set of ordered pairs represents y as a function of x, we need to check if each x-value is associated with a unique y-value. In option B) {(0, 0), (1, 1), (2, 4), (3, 9), (3, 16)}, we can see that the x-value 3 is associated with two different y-values, 9 and 16. Therefore, option B) does not represent y as a function of x.
The correct answer is option A) {(0, 0), (-1, 2), (-1, -2), (-2, 4), (-2, -4)}. In this set, each x-value is associated with only one y-value. For example, x = -1 is associated with y = 2 and y = -2. Since no x-value is repeated with different y-values, this set represents y as a function of x.
Option C) {(0, 0), (0, 1), (0, 2), (0, -1), (0, -2)} and option D) {(0, 0), (-1, -0.5), (-2, -1), (-3, -1.5), (-4, -2)} both have repeated x-values with different y-values, so they do not represent y as a function of x.
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NEED HELP ASAP
the angle of elevation from the far side of the pool to the top of the waterfall is 54 degrees and the distance is 230 ft. Find x
Answers
Answer:
(Use right triangle)
1) find the height of the waterfall (opposite side) to the nearest foot.
draw the triangle. distance from far side of the pool to the top of the waterfall is the hypotenuse given to be 230.
sinx = opp/hyp
sin54 = opp/230
opp = 230sin54
opp = approx 186 ft
2) find the width across the pool (adjacent side) to the nearest foot.
cosx = adj/hyp
cos54 = adj/230
adj = 230cos54
adj = approx 135 ft
Answer: 135 ft
The value of x is 135.2 feet.
To understand more, check below explanation.
Angle of elevation:From given figure,
It is observed taht, a right angle triangle is formed in the given figure.
Angle of elevation = 54 degree
Hypotenuse = 230 feet
We have to find base i.e x
Apply cosine of angle,
[tex]cos (54)=\frac{x}{230}\\ \\x=230*cos(54)\\\\x=230*0.587\\\\x=135.2ft[/tex]
Hence, the value of x is 135.2 feet.
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Paul rolled a number cube. What is the probability he will roll a 5 or 6
Answers
Answer:
2/6, 33.33, or 33.33%
Step-by-step explanation:
6 total possible outcomes, and 2 in this scenario.
That's 2 over 6.
Hope this helps!
Answer:
2 chances divide by 6 sides = 0.333333 or 1/3 or 33% like the other person said.
Step-by-step explanation:
If you had 20 equal parts, how would you shade in 85% of it? How many parts would you shade in?
Answers
Shade in 17 parts. 100% is 20 parts, and 100/20=5. You have to shade 85%, and 85/5=17.
Shade in 17 parts.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100.
Here, we have,
We had 20 equal parts.
i.e. 100% is 20 parts,
and 100/20=5.
You have to shade 85%,
and 85/5=17.
Hence, there are Shade in 17 parts.
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Howard wants to use multiplication to solve w=5 divided by 1/5 Which multiplication equation can Howard use?
A:5*1/5=w
B:1/5*5=w
C:5=1/5*w
Answers
Answer:
C.5=1/5*w
Step-by-step explanation:
W=5÷1/5
Multiply both sides by 1/5
(1/5)w=5÷1/5(1/5)
(1/5)w=5×5/1(1/5)
1/5*w=25/1 * 1/5
1/5*w=25/5
1/5*w=5
It can also be written as
5=1/5*w
Answer:
5 1/5 * w
Step-by-step explanation:
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HELP ME please :) Please
Answers
Answer:
If the question was to the first one I'm pretty sure the answer is a lot fewer people got sick I'm not sure but the second question but from what I could see of the bottom question burning fossil fuels driving cars and deforestation I know are may cause global warming I can't see the rest of it though and I'm not sure about ice cores
Step-by-step explanation:
An amusement park's cost for cotton candy is $1.50. The markup rate for cotton candy is
300%. What is the price of cotton candy at the park?
Answers
Answer:
The answer is $6
Hope this helps!
The price of cotton candy at the park is $6.00.
The markup rate of 300% means the price is increased by three times the cost. So, $1.50 * 3 = $4.50 is the markup cost. Adding the original cost to the markup cost gives $1.50 + $4.50 = $6.00.
Which function has a domain of all real numbers
Answers
Functions with all real numbers as their domain include polynomial functions, sine and cosine functions, and exponential functions. For example, the function f(x)=x², f(x) = sin(x), or f(x) = cos(x) and f(x)=a^x (where a>0).
Explanation:In Mathematics, the domain of a function is the set of values that can be plugged into the function. There are multiple functions that have a domain of all real numbers, some of them are polynomial functions, sine and cosine functions, and exponential functions.
For example, the function f(x)=x² is a polynomial function where any real number can be inputted for x, hence its domain is set of all real numbers.
Similarly, sine and cosine functions, represented as f(x) = sin(x) or f(x) = cos(x), have a domain of all real numbers, because sine and cosine are periodic and their values repeat over every interval of 2π.
Furthermore, the exponential functions, represented in the form f(x)=a^x (where a>0), have also their domains as the set of all real numbers.
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Using the greatest common factor for the terms, how can you write 56 + 32 as a product?
A) 4(14 + 8)
B) 7(4 + 8)
C) 8(7 + 4)
D) 14(4 + 2)
PLZ HELP
Answers
Answer:
8(7+4) (C.)
Step-by-step explanation:
First find the biggest number thta can go into 56 and 32:
8!
Since C. is the only one that has an 8 out in the front, let's try that one:
[tex]8*7=56[/tex]
[tex]8*4=32[/tex]
So C. Is correct!
rnhymfrtyunryhbxdgveZvf
Answers
Answer: part of the alphabet
Step-by-step explanation: nice
Need help with question 2 ASAP PLS anything is appreciated:)
Answers
Answer:
D
Step-by-step explanation:
It is D because the coordinate (1,1) isn't equals to (2,4); (3,27); or (4,24). It is not constant and you cannot make a linear function/equation out of it.
Bob Jones bought a new log cabin for $63,000 at 10% interest for 30 years. Prepare an amortization schedule for the first three periods.
Answers
pls pls pls pls help ;(
Answer the problem below. Show all your work/thinking.
1. Find the surface area of the following figure, then explain the steps of your solution in
paragraph form.
Answers
Answer:
Around 202.08
Step-by-step explanation:
The formula for the surface area of a pyramid is [tex]a^2 +2a\sqrt{\frac{a^2}{4}+h^2}=9^2+2\cdot 9\sqrt{\frac{9\cdot 9}{4}+5^2}=81+18\sqrt{45.25}\approx 202.08[/tex]. Hope this helps!
solve for c 3c − 10 = 2c
Answers
C=10
Answer:
10 is your answer for c.
Step-by-step explanation:
Isolate the variable c. Note the equal sign, what you do to one side, you do to the other.
Subtract 3c from both sides:
3c (-3c) - 10 = 2c (-3c)
-10 = 2c - 3c
-10 = -c
Isolate the variable, c. Divide -1 from both sides:
(-c)/-1 = (-10)/-1
c = -10/-1
c = 10
c = 10 is your answer.
~
5)What will be the new position of the given point (7,4) after translation of
2 units left and 4 units up?
a) (5,8) b) (9,-8) c) (5,-8) d) (9,8)
Answers
Answer:
The correct answer is (5,8)
Step-by-step explanation:
Assuming that the Earth is a sphere of radius 4000 miles, find the distance between the
following two cities whose latitudes are given. You may assume that these cities are on
the same basic longitude.
Cincinnati, Ohio (39° 8' 46" N) and Huntsville, Alabama (34° 43'41" N)
Answers
Answer:
308.44 miles
Step-by-step explanation:
Cincinnati, Ohio (39° 8' 46" N); and Huntsville, Alabama (34° 43'41" N)If the two locations are on the same basic longitude, then they are both on a great circle.
Distance along great circle [tex]=\dfrac{\theta}{360^\circ}X2\pi R[/tex]
Where:
[tex]\theta=$Angular difference\\R=Radius of the earth[/tex]
Since they are on the same polar axis (North), we subtract.
Angular Difference =39° 8' 46"-34° 43'41"=4°25'5"
Therefore:
[tex]Distance =\dfrac{4\°25'5''}{360^\circ}X2*4000*\pi \\=308.44 \:miles[/tex]
Plz help meeeee plzzzz
Answers
Answer:
-4p³+3p²-17p
Step-by-step explanation:
(-3p³+5p²-2p)+(-p³-8p²-15p)
-3p³+5p²-2p-p³-8p²-15p
-3p³-p³+5p²-8p²-2p-15p
=-4p³+3p²-17p
Convert each measurement into another measurement unit. How many inches are in 5 ft?
Answers
Answer:
60 inches
Step-by-step explanation:
Multiply the length value by 12
25% of what number is 30?
Answers
to find the 25% of 30
first 25/100=0.25
then we write 0.25 x 30=7.5
so the answer is 7.5 or 120
Answer:
The answer is 120
A compressed air tank carried by scuba divers has a volume of 8.00 L and a pressure of 141 atm at 22.0°C. What is the volume (in liters) of air in the tank at STP?
A) 993 L
B) 1,044 L
C) 1,224 L
D) 1,280 L
Answers
Answer:
Volume of air in the tank =1,044 Liter
Step-by-step explanation:
Given:
Tank volume = 8 Liter
Pressure = 141 atm
Temperature = 22°C = 273° + 20° = 295° K
Find:
Volume of air in the tank = ?
Computation:
[tex]\frac{Pressure\times Tank\ volume}{Tempreture} =\frac{Pressure\times Air\ volume}{Tempreture}\\\\\frac{141\times 8}{295} =\frac{1\times Air\ volume}{273.15}\\\\\frac{1,128}{295} =\frac{Air\ volume}{273.15}\\\\Air\ volume=1,044.45[/tex]
Volume of air in the tank =1,044 Liter
Answer:
1,044 Liter
Step-by-step explanation:
Are these triangles similar?
Answers
Answer:
no
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
They are not similar because one has a length of 9 and one has a length of 16They would be similar if it had a side length of 8 and a bottom lenght of 6Hope this helped :)Factor polynomial p^2-20p+100
Answers
Answer:
[tex](p-10)^2[/tex]
Step-by-step explanation:
[tex]p^2-20p+100=\\(p-10)^2[/tex]
Hope this helps!
p − 10 ) 2
Step-by-step explanation: