In this problem you will compare the effects of different compounding periods on the interest an investment earns. Complete the table below using the values indicated. Show the formula you used, with the correct values, in the second column. In the third column, give the result, rounded to the nearest cent.
Principal: $1,000
APR: 4.5%
Time: 10 years
Find the equations for annually, quarterly, monthly and daily
Answers
Answer:
see attached
Step-by-step explanation:
You are asked to use the compound interest formula for different values of n, the number of times per year the interest is compounded.
__
The basic formula is ...
A = P(1 +r/n)^(nt)
for the amount in an account in which principal P earns interest at annual rate r compounded n times per year for t years.
The problem statement gives values for P, r, t, so we only need to compute the result for different values of n. With the given values filled in, the formula is ...
A = 1000(1 +0.045/n)^(10n)
Values of n to be used are ...
annually: n = 1quarterly: n = 4monthly: n = 12daily: n = 365The formula you will evaluate uses these values where 'n' is in the formula. Corresponding account balances are ...
annual compounding: $1552.97quarterly compounding: $1564.38monthly compounding: $1566.99daily compounding: 1568.27__
For repetitive evaluation of the same formula, we like a calculator or spreadsheet. Many calculators have the "time value of money" formulas pre-programmed. This is shown in the second attachment, where the value that varies is "C/Y", the number of compoundings per year.
Related Questions
step right up for a new brainiest fair answer the question you get right you win the glorious brainiest
Answers
Answer:
Mean → 9
Median → 7
Mode → 4
Step-by-step explanation:
For mean ↓
(9+4+17+4+7+8+14) ÷ 7 = 9
For median ↓
G U E S S E D
For mode ↓
Mode is 4 because it is shown twice in the data.
2 x 2 = 4
Hope this helped! :^)
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Submitted on 4/14/2022 at 6:31 PM
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Try it! 2
A test weight is dropped from the top of a fire department
training tower onto a net three feet off the ground. Use - 16t2 for the change
in height per second.?
a.) Write an equation to determine the time
it takes for the test weight to drop on the
net.
67 ft
b.) How long does it take before the test
weight is caught by the net? Explain.
Answers
Using quadratic function concepts, it is found that:
a) The equation is: 16t² - 64 = 0.
b) It takes 4 seconds before the weight is caught by the net.
What is the quadratic equation for a projectile's height?It is given by:
h(t) = -16t^2 + v(0)t + h(0).
In which:
v(0) is the initial velocity.h(0) is the initial height.Item a:
In this problem, the object starts from rest at a height of 67 ft, hence v(0) = 0 and h(0) = 67.
Then, the equation for the height is given by:
h(t) = -16t^2 + v(0)t + h(0)
h(t) = -16t^2 + 67
It hits the net when h(t) = 3, hence:
3 = -16t^2 + 67
16t² - 64 = 0.
Item b:
16t² = 64
[tex]t = \pm \sqrt{4}[/tex]
t = 4, as time is positive.
It takes 4 seconds before the weight is caught by the net.
More can be learned about quadratic function concepts at https://brainly.com/question/24737967
The Algebra teachers at Blue Field High School need to buy new textbooks and calculators for the math department. The textbooks cost $105.00 each, and the calculators cost $120.00 each. If the teachers have $4,000 to spend and purchase 25 calculators, how many textbooks can they buy?
Answers
Answer: 9 textbooks
Step-by-step explanation:
25 x 120.00 = 3,000
4,000 - 3,000 = 1,000
9 x 105.00 = 945
1,000 - 945 = 55
The teacher can only buy 9 textbooks since she/he doesn't have enough money to get anymore.
Um, what's the value of e,
[tex]9e+4=-5e+14+13e[/tex]
Answers
Hello ~
My name is Irxdscent, and I will be answering your question today! :D
→ Answer :-[tex]\sf{e = 10}[/tex]
→ Explanation :-[tex]\sf{9e \: + \: 4 = -5 \: + \: 14 \: + \: 13e}[/tex]
Group like terms:[tex]\sf{\sf{9e \: + \: 4 = -5 \: + \: 13e \: + \: 14}[/tex]
Add similar elements: [tex]\sf{^-^5^e \: ^+ \: ^1^3^e \: ^= \: ^8^e}[/tex][tex]\sf{9e \: + \: 4 = 8e \: + \: 14}[/tex]
Subtract [tex]\sf{4}[/tex] from both sides:[tex]\sf{9e \: + \: 4 - 4 = 8e \: + \: 14 \: - \: 4}[/tex]
Simplify:[tex]\sf{9e = 8e \: + \: 10}[/tex]
Subtract [tex]\sf{8e}[/tex] from both sides:[tex]\sf{9e \: - \: 8e = 8e \: + \: 10 \: - \: 8e}[/tex]
Simplify:[tex]\sf{e = 10}[/tex]
Hope It Helps! ~
~ Learn With Lrxdscent ~
[tex]\underline{Answer :}[/tex]
ɪ ʀ x ᴅ ꜱ ᴄ ᴇ ɴ ᴛ
Answer:
e = 10Step-by-step explanation:
In this question we are provided with an equation that is 9e + 4 = -5e + 14 + 13e . And we are asked to find the value of e .
Solution : -
[tex] \longrightarrow \qquad \: 9e + 4 = {-5e} + 14 + { 13e}[/tex]
Step 1 : As there are like terms in right side . So we are solving them and get :
[tex] \longrightarrow \qquad \: 9e + 4 = 14 + 8e[/tex]
Step 2 : Subtracting 4 on both sides :
[tex] \longrightarrow \qquad \: 9e + \cancel{4 }- \cancel{4 }= 14 + 8e - 4[/tex]
Now , cancelling 4 with -4 and subtracting 4 from 14 :
[tex]\longrightarrow \qquad \: 9e = 10 + 8e[/tex]
Step 3 : Subtracting 8e on both sides :
[tex] \longrightarrow \qquad \: {9e } - {8e } =10 + \cancel{ 8e} - \cancel{ 8e}[/tex]
On further calculating , we get :
[tex]\longrightarrow \qquad \: \underline{\boxed{\bold{ \frak{{e = 10}}}}}[/tex]
Therefore , value of e is equal to 10.Verifying : -
We are verifying our answer by substituting value of e in given equation. So ,
9e + 4 = -5e + 14 + 13e9 (10) + 4 = -5 (10) + 14 + 13 (10)90 + 4 = -50 + 14 + 13094 = -50 + 14494 = 94L.H.S = R.H.SHence, Verified.Therefore, our value for e is correct .
#Keep Learning-28-6b=8 I can’t get the answer I need help.
Answers
Answer:
6
Step-by-step explanation:
-28-6b=8
-6b=36
b=6
What is the radius of a circle whose equation is (x + 5)² + (y - 3)² = 4²?
O 2 units
O 4 units
O 8 units
O 16 units
Answers
Answer:
PLEASE MARK AS BRAINLIST
we know thatthe equation of the circle is of the formwhere(h,k) is the center of the circler is the radius of the circlein this problem we havesothe center is the point the radius is thereforethe answer isThe radius of the circle is equal to 4units
The required radius of a circle whose equation is (x + 5)² + (y - 3)² = 4² is 4. Option B is correct.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on a coordinate plane and r is the radius of the circle.
The equation of the circle is given by:
(x + 5)² + (y - 3)² = 4²
Comparing this equation with the standard form of the equation of a circle:
(x - a)² + (y - b)² = r²
We can see that the center of the circle is at the point (-5, 3), and the radius of the circle is 4 units (which is the same as the constant on the right-hand side of the equation).
Therefore, the radius of the circle is 4 units.
So the answer is (B) 4 units.
Learn more about Circle here:
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Write in decimal form:
7 × 100 +
6 × 10 +
5 × 1 +
0 × (1/10) +
3 × (1/100) +
7 × (1/1000)
Answers
Answer:
765.037
Step-by-step explanation:
7 x 100 = 700
6 x 10 = 60
5 x 1 = 5
0 x (1/10) = 0
3 x (1/100) = 0.03
7 x (1/1000) = 0.007
Add them all up and you'll get 765.037.
Write the following statements in algebraic form.
A. A number decreased by 3 and then doubled.
B. A number is tripled and then increased by 8.
C. Area of rectangle is the product of its length and breadth.
D. Product of two numbers divided by 3.
E. x is halved and increased by 11
Answers
= 2 ( n-3 )
B. A number is tripled and then increased by 8.= 3 ( x+8 )
C. Area of rectangle is the product of its length and breadth.x= l×b
D. Product of two numbers divided by 3.= x/3
E. x is halved and increased by 11= x/2 + 11
a= 2 ( n-3 )
b= 3 ( x+8 )
c= x= l×b
d= x/3
e= x/2 + 11
A town has a population of 90,200 and shrinks at a rate of 2% every year. Which equation represents the town’s population after 7 years
Answers
Answer: f(x) = 90,200 (1-.002)^7
Step-by-step explanation:
f(x) = a (1 - r)^t
a - initial amountr - ratet - timef(x) = 90,200 (1-.02)^7
The equation f(7) = 90,200 (1 - 0.02)⁷ represents the town’s population after 7 years.
What is an exponential function?An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.
A town has a population of 90,200 and shrinks at a rate of 2% every year.
As we know the exponential equation for the population as
f(n) = a (1 - r)ⁿ
Where a is the initial population
r is rate
n is years
As per the question, we have
a = 90,200, r = 2/100 = 0.02, and t = 7 years
Substitute the known values in the above equation, and we get
f(7) = 90,200 (1 - 0.02)⁷
This equation represents the town’s population after 7 years.
Learn more about exponential function here:
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Rewrite the equation below so that it does not have fractions 3-2/3x=3/4
Answers
Answer: 3- 0.67x = 0.75
Step-by-step explanation: Convert fractions to decimals
3(y-3)=-2y+6
it’s on my hw i don’t understand
Answers
explanation
3(y-3)=-2y+6
3y-9=-2y+6
5y-9=6
5y=15
y=3
Just move the parentheses then move the terms
A clerk earns $125 per day, plus a commission equal to
10% of her sales, s. The clerk earns less than $180 on
Monday
Enter an inequality that represents all possible values for
the clerk's sales, s, on Monday.
Answers
The inequality represents all possible values for the clerk's sales, s, on Monday is 0.1s + 125 < 180.
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
A clerk earns $125 per day, plus a commission equal to 10% of her sales, s. The clerk earns less than $180 on Monday.
The total commission on her sales s = 10% x s
= 0.1s
The total money earn on monday = 0.1s + 125
The inequality represents all possible values for the clerk's sales, s, on Monday.
The clerk earns less than $180 on Monday.
0.1s + 125 < 180
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Which equation can be used to find the measure of angle LJK?
O sin(x) = 10/15
O sin(x) = 15/10
O cos(x) = 10/15
O cos(x)= 15/10
Answers
Answer:
cos(x)=10/15
Step-by-step explanation:
As cosine is Base/Hypotenues
cos(x)=JL/JK
= 10/15
MARK ME AS BRAINLISTThe equation used to find the measure of angle LJK is option C. cos(x) = 10/15.
What are Trigonometric Functions?Trigonometric functions are the functions which are represented as the ratio of the sides of a right angled triangle.
The three main trigonometric functions are sine, cosine and tangent function.
Sine function of an angle is the ratio of the opposite side to the hypotenuse of the triangle.
Cosine function of an angle is the ratio of the adjacent side to the hypotenuse of the triangle.
Here,
Hypotenuse of the triangle = KJ = 15 inches
LJ = 10 inches is the adjacent side with respect to the angle x.
We can use cosine function here.
cos (x) = LJ / KJ = 10/15
Hence the equation used is cos(x) = 10/15.
Learn more about Trigonometric Functions here :
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In (circle)A, m∠BAD = 110. Find mDE.
Answers
Answer: 70
Step-by-step explanation: BAD is 110 degrees and BDE is 180 so do 180 minus 110 and gets you 70 which is DE
Reason:
Central angle BAD is 110 degrees.
This makes angle DAE to be 180-110 = 70 degrees since the two angles are supplementary. They combine to a 180 degree straight angle.
From there, minor arc DE is also 70 degrees. This is because the central angle subtending the arc will be the same measure.
The Tookesons want to trade in their station wagon on the purchase of a new station wagon. A used vehicle guide shows the average trade-in value is $9,480. They add $150 for air-conditioning, $75 for anti-lock brakes, and $150 for the CD player. They subtract $100 for a manual transmission and $300 for excessive mileage. What is the average trade-in value of their wagon?
Answers
Answer:
George Garcia wants to purchase a used station wagon. One used-vehicle guide shows the average retail value of the station wagon at $13,000. Add $50 for having ...
2 pages
Step-by-step explanation:
What is the sum of 5.2 x 108 and 2.3 x 108?
Answers
Answer: 7.5 × 10⁸
Step-by-step explanation:
They are both rairaised to power of 8, so you can add 5.2 and 2.3
answers for
2(3x-5)=52
Answers
Answer:
x = 31/3 or 10 1/3.
Step-by-step explanation:
2(3x-5)=52
2*3x + 2*-5 = 52
6x - 10 = 52
6x - 10 + 10 = 52 + 10
6x = 62
x = 62/6 = 31/3
LOOK AT THE PICTUREE ILL TRY GIVING BRAINLYEST
Answers
Answer: 1/2
Step-by-step explanation: rise/ run
What is the area under the curve f (x) e ^ 2x between x1 = 0 to x2 = 2.
Answers
Answer:
26.75 unit^2 to the nearest hundredth.
Step-by-step explanation:
Integrating between the 2 limits:
2 2
Area = ∫ e^2x dx = [ 1/2 e^2x ]
0 0
= 1/2( e^4 - e^0]
= 1/2(54.598 - 1)
= 26.749
Find the interest on $4000 at 3% for 4 months
Answers
Answer:
the formula for finding interest is I=p×r×t÷100
so the answer will be l=4000×3×4÷100which is equal to480.Therefore the interest is $480
can someone help with this
Answers
Answer:
2.4
Step-by-step explanation:
6 / 2 1/2 = 2.4
Hope This Helps
percent discount
A $55.00 purse is on sale for $30.25
Answers
Answer:
2475%
Step-by-step explanation:
Find the value of x please answer ASAP!!!!
Answers
Answer:
24
Step-by-step explanation:
All you gotta do is 30(12)=15(x). So 360=15x, then divide from there to only get x
Two prisms are similar and their ratio of similarity is 4:9.
Find the area of a base of the larger prism if the area of a base of the smaller prism is 47 square units.
Round to the nearest hundredth.
Pls show work!<3
Answers
Answer:
9:4,4:9,7:4,4:7,473
Step-by-step explanation:
4 times 9
9 times 4
7 times 4
4 times 7
473
(20 POINTS AND BRAINLIEST) The rectangles below have the same perimeter
What is the area of the orange rectangle?
Answers
Answer:
Well it is 16
Step-by-step explanation:
the rectangle has 2 of the same sides for each side, so 3x2+5x2, a square has all sides equal to each other, so 4x4
So Now we do the easy part|
The rectangle that is grey:
3x2 = 6
5x2 = 10
6+10 =16
The orange square:
4x4 = 16
4+4=8
4+4=8
8+8=16
Therefore both are 16, meaning 16 must be the perimeter for both!
when 1/6 is written as a repeating decimal, which decimal is repeating
Answers
Answer:
1.66666... the number 6 is repeating
Answer:
1. ¯6 or 1.66666.... and 6 is the repeating number
Find the perimeter of the parallelogram please.
Answers
Answer:
39.6
Step-by-step explanation:
The perimeter is simple, just add the sides up which is 19.2+20.4 which is the answer.
Answer: 39.6
Step-by-step explanation: 2 (Length + width)
2( 10.2 + 9.6)
A shop owner has only a 1 kg, 2kg, 4kg, and 8 kg weight for the balancing scale. Which of the following bags of flour cannot be weighted on this balance scale?
Answers
Answer:
see below
Step-by-step explanation:
Need the choices, 1- 15 can be weighed but 16 cannot be weighed
find the difference of squares
x^2 -225
81- 4y^2
9k^4 - 25
Answers
Answer:
1.(x+15)(x−15)
2.(9+2y)(9−2y)
3.(3k^2+5)(3k^2−5)
Step-by-step explanation:
hope this helps
Percent of change 125 is increased to 200
Answers
Answer:
60
Step-by-Step Explanation:
(200-125):125*100 =
(200:125-1)*100 =
160-100 = 60
Now we have: What is the percentage increase/decrease from 125 to 200 = 60
Answer:
+63%
Step-by-step explanation:
We need to divide to solve this :)
125/200 = 0.63 x 100 = 63%
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