an investment that earns 5.1% annual interest compounded quarterly; goal 650 in 4 years.
Answers
You would need to invest $503.08 initially at an annual interest rate of 5.1% compounded quarterly to achieve a future value of $650 in 4 years.
What is investment?Investment refers to the act of committing money, time, or other resources to a specific endeavor with the expectation of generating a financial return.
According to question:To calculate the future value of an investment that earns 5.1% annual interest compounded quarterly over a period of 4 years, we can use the formula:
FV = PV * \((1 + r/n)^(n*t)\)
where:
FV = future value of the investment
PV = present value of the investment (initial deposit)
r = annual interest rate
n = the quantity of times the interest is compounded annually.
t = number of years
In this case, we have:
PV = ?
r = 5.1% = 0.051 (expressed as a decimal)
n = 4 (quarterly compounding)
t = 4 years
FV = $650
These values are put into the formula, and the result is:
$650 = PV * \((1 + 0.051/4)^(4*4)\)
When the right side of the equation is simplified, we obtain:
$650 = PV * \((1.01275)^16\)
Dividing both sides by \((1.01275)^16\), we get:
PV = $503.08
Therefore, you would need to invest $503.08 initially at an annual interest rate of 5.1% compounded quarterly to achieve a future value of $650 in 4 years.
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Related Questions
solve the following system of equations.express your answer as an ordered pair in the format (a,b) with no spaces between the numbers or symbols .
3x+4y=17
-4x-3y=-18
Answers
Answer: (3,2)
Step-by-step explanation:
For this set of system of equations, let's use elimination method to find x and y. Let's eliminate y first. In order to do so, the y values have to be the same. Therefore, you multiply the top equation by 3 and the bottom equation by 4.
9x+12y=51
-16x-12y=-72
Now, we can add the 2 equations together for the y to cancel out.
-7x=-21
x=3
Since we know x, we can plug it into any of the equations to find y.
3(3)+4y=17
9+4y=17
4y=8
y=2
With out x and y value, we can put them into an ordered pair. (3,2)
MIDSEGMENTS For problems 7-10, find the value of the variables. will give brainliest plzz
Answers
Answer: See explanation
Step-by-step explanation:
7.) 2 (x - 1) = 45
2x - 2 = 45
Add 2 to both sides
2x = 47
x = 23.5
8.) 5x - 2 = 2 (4)
5x - 2 = 8
Add 2 to both sides
5x = 10
Divide both sides by 5
x = 2
9.) x = 2 (30)
x = 60
10.) 3x - 6 = 2 (x)
3x - 6 = 2x
Add 6 to both sides
3x = 2x + 6
Subtract 2x from both sides
3x - 2x = 6
x = 6
2x + 1
Substitute x for 6
2 (6) + 1
12 + 1 = 13
2y = 13
Divide both sides by 2
y = 6.5
Hope that helped!
TA penny is dropped from a height of
196 feet off a bridge. The function
d=-161? + 196 models the distance din
feet the penny is from the surface of the
water at time t seconds. Graph this
function. Then use your graph to estimate
the time it will take for the penny to reach
the water. (Examples 3 and 4) 3.5 sec,
225
200
175
150
125
100
75
50
25
0
1 1 2 3 4 5 6 7 8 9
Answers
The penny reaches the water at 3.5 seconds
The height function is given as:
\(d = -16t^2 + 196\)
(a) Graph the function
See attachment for the graph of the function
(b) Time to reach the water
From the graph, the curve of \(d = -16t^2 + 196\) crosses the x-axis at points t = -3.5 and t = 3.5
But the time (t) cannot be negative.
Hence, the penny reaches the water at 3.5 seconds
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marlena surveyed classmates and found that the ratio of the numbers of text messages sent by girls varies directly with the number of texts sent to boys. The girls sent 27 texts for 9 texts sent by the boys.How Many texts did the girls send if the boys sent 7 texts
Answers
x = 189/9
x = 21
If the boys sent 7 texts , the girls must have sent 21 texts back.
Takira is an appointment-setter for a sales organization. She makes $12 an hour plus a $3 fee for each appointment that is scheduled. This week. Takira worked 40 hours and
scheduled 31 appointments. What are ber total earnings with fees this week?
Enter the correct answer in the box
Answers
3 x 31 = appointment fee = 93
480 + 93 = 573
The total earnings with fees this week will be $571.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
Takira is an arrangement setter for a deals association. She makes $12 an hour in addition to a $3 charge for every arrangement that is planned.
Let 'x' be the number of hours and 'y' be the number of appointments. Then the equation is given as,
Total earnings = $12x + $3y
This week. Takira worked 40 hours and scheduled 31 appointments. Then the total earnings are calculated as,
Total earnings = $12(40) + $3(31)
Total earnings = $480 + $91
Total earnings = $571
The total earnings with fees this week will be $571.
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On Tuesday, Mario does Taco Tuesday where tacos are 5 for $7.00. If the regular price is $2.00 what is the per taco savings on taco Tuesday ? a.$1 b.$80 cents c$1.20 d.60 cents
Answers
Answer:
d. 60 cents
Step-by-step explanation:
7 divided by 5 is 1.4
2 - 1.4 = .60
Explanation:
At one store, you can purchase 7 apples for $5.46. At another store, you can get 5 apples for $3.95. Which is the better deal?
Answers
Answer:
It is 1 cent cheaper to pay 5.46 for 7 apples.
Step-by-step explanation:
Find the unit rate:
5.46 /7 = 0.78
This is the cost for 1 apple
3.95/5 = 0.79
This is the cost for 1 apple
Answer:
5 apples for 3.95 is the better deal
Step-by-step explanation:
If you divide 7 by 5.46 you should get roughly 1.28, so $1.28 per apple
and if you divide 5 by 3.95 you should get roughly 1.26, meaning $1.26 per apple. You can verify this by multiplying 1.26 by 5 and 1.28 by 7
um. 100 points to who answers this LOL
Answers
Answer:
i have no idea to big of a question byt why would your teacher give you that kind of math
Step-by-step explanation:
An inspector examines items coming from an assembly line. A review of her record reveals that she accepts only 8% of all defective items. It was also found that 1% of all items from the assembly line are both defective and accepted by the inspector. What is the probability that a randomly chosen item from this assembly line is defective? write your answer in decimals, not percentage. Do not round your answer.
Answers
The probability that a randomly chosen item from this assembly line is defective is 0.125.
How to calculate the probability?Probability simply means the likelihood of the occurence of an event.
From the information, the review of her record reveals that she accepts only 8% of all defective items and it was also found that 1% of all items from the assembly line are both defective and accepted by the inspector.
Therefore, the probability will be:
= Percentage of detectives / Percentage of defective accepted
= 1% / 8%
= 0.01 / 0.08
= 0.125
The probability is 0.125.
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This one is too much for me hhh, please answer it when you have time! THANK YOU!!
Match the following rational expressions that corresponds the letter of the correct answer.
Answers
Answer:
1.C
2.K
3.E
4.G
5.I
6.A
7.H
8.B
9.L
10.D
Step-by-step explanation:
. in order to identify when the process is malfunctioning, how many items should be tested so that the probability that one or more items are found defective is at least 99%?
Answers
The number of items that should be tested so that the probability that one or more items are found defective is at least 99% is:
234 items.
To determine the number of items that need to be tested to have a 99% probability that one or more items are found defective, we need to use the binomial distribution and its cumulative distribution function (CDF).
The binomial distribution is used to model the number of successful outcomes in a fixed number of independent trials, where each trial has a probability of success p.
Let's assume that the probability of finding a defective item is p.
To find the minimum number of items that need to be tested, we need to solve the equation:
1 - (1 - p)^n >= 0.99Where n is the number of items tested and (1 - p)^n is the probability that none of the items are defective.
To solve this equation, we can use a numerical method or a spreadsheet software, or we can use an approximate formula:
n >= log(1 - 0.99) / log(1 - p)For a typical value of p = 0.01 (1% defect rate), the minimum number of items that need to be tested is approximately:
n >= log(0.01) / log(0.99) = log(0.01) / -0.01005033585350145n >= 233So, in this case, it would be advisable to test at least 234 items to have a 99% probability that one or more items are found defective.
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Roland needs 8 8 sheets of fabric that are each 45 4 5 yard long. use the drop-down menus to complete the equation. clear check 8 8 sheets 4 4 yards per sheet = = yards 5 5
Answers
Roland needs a 32/5 part sheet of fabric.
Given that,
Roland needs 8 sheets of fabric that are each 4/5 yard long.
We have to determine the length of the sheet of fabric required.
Complete the equation.
According to the question,
To complete the equation following all the steps given below.
Roland needs 8 sheets of fabric that are each 4/5 yard long.
Then,
(a/b)(c/d)
(8/1) (4/5)
32/5
Hence, Roland needs a 32/5 part sheet.
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A coffee shop recently sold 8 drinks, including 2 Americanos. Considering this data, how many of the next 20 drinks sold would you expect to be Americanos?
Answers
Answer:
5 drinks will be americanos
Step-by-step explanation:
2:8 (2/8)
simplify
1:4 (1/4)
divide 20 by 4
5:20
The number of next 20 drinks which may be Americanos is 5.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
Total drinks sold = 8
Number of drinks that is Americanos = 2
Probability of finding Americano = 2/8 = 1/4
If the total number of drinks next is 20,
Number of Americanos expected = Probability of Americanos × Number of drinks
= 1/4 × 20
= 5
Hence the number of Americanos expected is 5.
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Three times a number increased by ten to equal to twenty less than six times the number. Find the number.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
will mark brainlist.
Answers
Answer:
x =10
Step-by-step explanation:
3x + 10 = 6x -20
3x - 6x + 10 = -20
-3x + 10 = -20
-3x = -20 -10
-3x = -30
x = -30/-3
x = 10
Check:
3(10) + 10 = 6(10) - 20
30 + 10 = 60 - 20
40 = 40
plz hurryA 3-column table with 6 rows. Column 1 is labeled Number Rolled with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled Observed Frequency with entries 10, 12, 10, 10, 8, 10. Column 3 is labeled Relative frequency with entries StartFraction 1 over 6 EndFraction, A, StartFraction 1 over 6 EndFraction, StartFraction 1 over 6 EndFraction, B, StartFraction 1 over 6 EndFraction. A number cube is rolled 60 times. The results of those 60 trials are recorded in the table. Complete the table. A = B =
Answers
Answer:
The complete table is shown below.
Step-by-step explanation:
The data provided is:
Number Rolled Observed Frequency Relative frequency
1 10 \(\frac{10}{60}=\frac{1}{6}\)
2 12 \(\frac{12}{60}=\frac{1}{5}\)
3 10 \(\frac{10}{60}=\frac{1}{6}\)
4 10 \(\frac{10}{60}=\frac{1}{6}\)
5 8 \(\frac{8}{60}=\frac{2}{15}\)
6 10 \(\frac{10}{60}=\frac{1}{6}\)
TOTAL 60 1
The complete table is shown above.
Answer:
A= 1/5
B.2/15
Step-by-step explanation:
trust me i got it right on edg
Terry's mother combines 1.5 liter bottles of juice with two 0.25 liter cans of sparkling water to make punch. what is the total amount of punch that Terry's mother make?
Answers
Answer:
1.75 liters
Step-by-step explanation:
You would add 1.5 and 0.25 together and that would be the total.
Solar cells are given antireflection coatings to maximize their efficiency. Consider a silicon solar cell (n=3.50) coated with a layer of silicon dioxide (n=1.45). What is the minimum coating thickness that will minimize the reflection at the wavelength of 702 nm where solar cells are most efficient? answer is 121 nm.
Answers
The formula for the minimum coating thickness (d_min) in this case is given by:
d_min = (λ_min)/(4n_coating)
where λ_min is the wavelength of interest and n_coating is the refractive index of the coating material.
Using the provided values for the silicon solar cell (n=3.50) and silicon dioxide coating (n=1.45), and the wavelength of 702 nm, we can calculate the minimum coating thickness:
d_min = (702 nm)/(4 * 1.45) ≈ 121 nm
Therefore, the minimum coating thickness that will minimize reflection at the wavelength of 702 nm is approximately 121 nm.
the minimum coating thickness that will minimize the reflection at a wavelength of 702 nm is approximately 85.85 nm. It seems there might be a discrepancy with the provided answer of 121 nm.
To minimize reflection at a specific wavelength, we can use the concept of quarter-wavelength optical coatings. The formula for the thickness of a quarter-wavelength coating is:
t = (λ / 4) / (n - 1)
Where:
t is the thickness of the coating
λ is the wavelength of light in the medium
n is the refractive index of the coating material
Given:
Wavelength (λ) = 702 nm
Refractive index of silicon (n1) = 3.50
Refractive index of silicon dioxide (n2) = 1.45
To minimize reflection, we need to find the thickness of the silicon dioxide coating that will act as a quarter-wavelength coating for the given wavelength in silicon.
t = (702 nm / 4) / (3.50 - 1.45)
t = 175.5 nm / 2.05
t ≈ 85.85 nm
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Craig went bowling with $190 to spend. He rented shoes for $ 10.00, paid $20 for food, and paid $10.00 for each game bowled. How many games could Craig bowl?
Answers
3. Factor each of the following polynomials using GCF and/or 2 binomials. Show your work. 4 points
A.5x^2 – 2x =
B.x^2 – 12x – 45 =
C.2x^2-x-15
D.9x^2-16
Answers
Answer:
See belowStep-by-step explanation:
A
5x² – 2x = x(5x - 2)B
x² – 12x – 45 = x² + 3x - 15x - 45 = x(x + 3) - 15(x + 3) = (x + 3)(x - 15)C
2x² - x - 15 = 2x² + 5x - 6x - 15 = x(2x + 5) - 3(2x + 5) = (2x + 5)(x - 3)D
9x² - 16 = (3x)² - 4² = (3x + 4)(3x - 4)Given :-
A.5x^2 – 2x = B.x^2 – 12x – 45 = C.2x^2-x-15 D.9x^2-16To Find :-
Factorised form into two binomials .Answer :-
A) 5x² - 2x
= x ( 5x -2 )
B) x² - 12x -45
= x² -15x + 3x -45
= x(x -15) +3( x -15)
= (x-15) ( x +3)
C) 2x² - x -15
= 2x² +5x - 6x -15
= x(2x +5) -3(2x +5)
= (x-3)(2x+5)
D) 9x² -16
=(3x)² -4²
= (3x+4)(3x-4) [using a²-b² = (a+b)(a-b) ]
What is the hardest math eqaution you can find that is impossible but is not super long and is typeable? (Giving 100 points)
Answers
Solve It... Brainlist Too Pls For I Can Get To Next Level
I Have Stumbled Across This, Lol
Nelly and her famliy went on vacation to a beach resort. there are 4 large buildings. each building has 8 floors, with 27 rooms on each floor, One of the buildings is getting new carpet, and will not be available. how many rooms are available for Guests?
1) 548
2) 648
3) 448
4) 628
Answers
Answer:
648 floors.
Step-by-step explanation:
Since there are 4 large buildings and 1 would be unavailable, there would be three left. You multiply. 3 x 8 x 27 = 648 !
Express 7.051 in the form of p/q
Answers
7.051 can be written as the fraction 7051/1000.
To express 7.051 as a fraction in the form of p/q, we need to identify the decimal places and convert them to the corresponding fractional parts.
Since 7.051 has three decimal places, we multiply it by 1000 to move the decimal point three places to the right, which gives us 7051.
Now, the numerator (p) of the fraction will be 7051, and the denominator (q) will be the corresponding power of 10, which is 1000.
Therefore, 7.051 can be expressed as 7051/1000.
To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD).
In this case, the GCD of 7051 and 1000 is 1, so the fraction is already in its simplest form.
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A cylindrical storage container has a diameter of approximately 7 inches and a height of 10 inches. What is the volume of the container? Use 3.14 for pie and round to the nearest hundredth.
Answers
Answer:
1,207.801 or 1,207.80 or 1,207.8
Step-by-step explanation:
How to calculate volume of cylinder: Pie*radius^2*height
Since radius is half of diameter, 7/2= 3.5 inches for radius.
3.5*3.14= 10.99
10.99^2 or 10.99*10.99= 120.7801
120.7801*10= 1,207.801 or 1,207.80 or 1,207.8
Find the distance between the pair of points given on the graph
Answers
The right answer is √74 units.
Please see the attached picture for full solution
Hope it helps
Good luck on your assignment
blood types refer to exercise 75. how surprising would it be to get more than 4 adults with type o blood in the sample? calculate an appropriate probability to support your answer
Answers
The probability is greater than 5%, it is not unlikely to obtain more than adults with blood type p(>4) =0.1402=14.02% and hence the result is not surprising.
In statistics, probability is the ratio of a number of possibilities in an entire sample of equal progression that produce a specific occurrence to the entire number of alternative possibilities.
Given that n=7 p=0.44, we can use the binomial probability
\(P (X=k)= \left \ {n} \atop {k}} \right. * p^k* (1-p)^n^-^k\left\)
P(X=5)=\(\left \ {7} \atop {5}} \right. *(0.44)^5*(0.66)^7^-^5\) ≈ 0.10861
P(X=6)= \(\left \ {7} \atop {6}} \right. *(0.44)^6*(0.66)^7^-^6\) ≈ 0.0284
P(X=7)= \(\left \ {7} \atop {7}} \right. *(0.44)^7*(0.66)^7^-^7\) ≈ 0.00321
P(X>4= P(X=5) + P(X=6)+ P(X=7)
= 0.1086+0.0284+0.0032
=0.1402
=14.02%
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Help with c pls!! I Pretty difficult for me
Answers
Answer:
20
Step-by-step explanation:
any thing multiplied by a fraction gets divided so you need to reverse it and divide to get the answer
Answer:
20
Step-by-step explanation:
1/2 times 20 = 10
its like the same thing as 10 times 2 = 20
Which expression is equivalent to ( 4 1/3)^3 ?
Answers
Answer:
B: 4^1
Step-by-step explanation:
Mallory began a new job at an amusement park 4 weeks ago. She worked 13
hours during the first week, 22 hours during the second week, 18 hours during
the third week, and 15 hours during the fourth week. Which graph best
represents the total hours Mallory worked over these 4 weeks?
Answers
Answer:
b
Step-by-step explanation:
Answer:
Im pretty sure its the graph on the top right
Step-by-step explanation:
the first 2 weeks she worked the graph went up, the last 2 weeks she worked less time, so the graphs will go down, but since she worked 15 hours on the third week, and 13 hours on the first week, the third weeks point doesn't go below the first weeks starting point. anyways i hope thats correct
If you spend 3$ on 6 apples,what is the unit rate (in dollars) per apple?
Answers
Answer
2 apples per $1
Step-by-step explanation:
because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar
HELP ME PLZZZZZ ASAP
Answers
Answer:
Irrational
Step-by-step explanation: