Answer: the answer is r=7.5%
Step-by-step explanation:
You get the formula A=P(1+nr) where A is the accumulated amount: 5750, P is the principal: 5000, n is the amount of years: 2, and r is the rate: unknown
Now you plug in what you know:
5750=5000(1+2r)
Divide 5000 on both sides
Decimal form: 1.15=1+2r
Subtract -1 on both sides
0.15=2r
And lastly divide by 2 on both sides
0.075=r
BUT WHEN FINDING THE RATE ALWAYS MAKE IT A PERCENTAGE
r=0.075*100=7.5%
To help with his retirement savings, Dan has decided to invest. Assuming an interest rate of 3,43% compounded quarterly, how much would he have to invest
to have $148,700 after 18 years?
Do not round any intermediate computations, and round your final answer to the nearest dollar. If necessary, refer to the list of financial formulas.
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5
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Answer:
He would have to invest $80,412.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Assuming an interest rate of 3,43% compounded quarterly.
This means that [tex]r = 0.0343, n = 4[/tex]
How much would he have to invest to have $148,700 after 18 years?
This is P for which [tex]t = 18, A(t) = 148700[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]148700 = P(1 + \frac{0.0343}{4})^{72}[/tex]
[tex]P = \frac{148700}{(1 + \frac{0.0343}{4})^{72}}[/tex]
[tex]P = 80412[/tex]
He would have to invest $80,412.
1. a. The equation of a straight line is 2y = 3x +4,
Find the gradient of this line,
Answer:
3/2
Step-by-step explanation:
2y = 3x + 4
y = (3/2)x + 2
^ ^ ^ ^
y = m x + c
m = 3/2
A deli that just opened was giving out free mini sandwiches. A sample of 50 likely customers was surveyed about which sandwich they preferred. The people surveyed included 12 people who said they preferred the roast beef sandwich. Based on this information, how many of the first 150 sandwich orders should the deli predict will be for roast beef?
Answer:
128
Step-by-step explanation:
Which statement describes a unit rate?
A. Joe rides his bike 5 miles and walks 1 mile.
B. Joe rides his bike 30 miles in 3 hours.
C. Joe rides his bike 15 miles per 1 hour.
D. Joe rides his bike 1
2
mile in 10 minutes.
Answer:
C
Step-by-step explanation:
unit rate means 1 and it says that 15 per hour which shows that c is the answer
Answer:
C. Joe rides his bike 15 miles per1 hour.
Step-by-step explanation:
Key word: PER
Any time you see the words PER, EACH, stuff like that, it is unit rate. Hope this helps!
Find the surface area of the cylinder. Round your answer to the nearest hundredth and include units. Show your work on a piece of paper. *
1 point
Answer:
A = 414.69 km^2
Step-by-step explanation:
A = 2 π r h + 2 π r^2
A = 2(30)(pi) + 2(36)(pi)
A = 132pi
A = 414.69 km^2
Please help 13 points number 3 no links !
Answer:
H
Step-by-step explanation:
[tex]\frac{1}{4} + \frac{4}{5} = 1\frac{1}{20}[/tex]
Answer:
Hi, using L.C.M, It will be option H
5x5x5x5x5x5+ 10-2x10x20
Answer:
15,235
Step-by-step explanation:
Answer is in a photo. I couldn't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
bit.[tex]^{}[/tex]ly/3a8Nt8n
If a basketball court is 94 feet long and 50 feet wide, what is the area of a basketball court?
Answer:
4700
Step-by-step explanation:
To find the area, the formula is to multiply the width and the length. That is what I did and got 47 hundred
In triangle ABC, the length of side AB is 19 inches and the length of side BC is 28 inches. Which of the following could be the
length of side AC?
Answer:
43 inches
Step-by-step explanation:
Which solid figure has the following net? Pentagonal prism hexagonal prism hexagonal pyramid pentagonal pyramid
The correct answer is pentagonal prism.
The area of a rectangle is 600 square meters. The width is 30 meters. What is the length?
Answer:
why is brainlys tutor system not free anymore
Step-by-step explanation:
I really need to know all of a sudden it's not free anymore
Answer:
A=L×W
600=L×30
600/30=L
L=20
therefore the length is 20m
pleaseee???? anyone? need helpp
Answer:
x=9
Step-by-step explanation:
Thats your answer
Find the surface area plz
Answer:
Step-by-step explanation:
4 triangles
Each of the 3 from the vertical ones has area
A = bh/2 = 10.12/2 = 60ft^2
The latter surface pointing down
A = bh/2 = 10.8.7/2 = 43.5 ft^2
SO summation of all
60+43.5 = 103.5 ft^2
Miguel has $30. He spends $6.00 on a movie ticket, $3.80 for snacks, and $1.00 for bus fare each way.
How much money does Miguel have left?
Miguel has $ left.
Answer:
answer is 19.2 left ........
An administrator at a local high school wanted to investigate whether there is an association between the amount of time a student studies for a test and the type of extracurricular activity the student is involved in. Three hundred students selected at random were asked how long they had studied for the last math test and how many extracurricular activities they are involved in. The times they had studied were recorded as either not at all, less than 30 minutes, or more than 30 minutes. Each student also identified which extracurricular activity (out of a total of 5 extra curricular activities) they were involved in. The calculated chi-square test statistic was 7.53 with a corresponding
Answer:
The answer is "When you don't deny the null hypothesis, you'll lose. Since a p-value of 0.4807 is higher than a level of significance of 0.05, the test also isn't statistically important".
Step-by-step explanation:
The state of the hypotheses values
Null hypothesis:
[tex]H_0:[/tex]There is still no connection between how the time a student invests studying for the test and what kind of endurance sport he or she participates in.
Null hypothesis:
[tex]H_l :[/tex] There is indeed a connection between how the time a student invests studying for a test and the type of endurance sport in that he or she participates.
Law of Rejection:
Null hypothesis value is rejects, when the P-value is less than or equal to 0.05. P-value is 0.4807, which is greater than 0.05, based on the information provided.
A chemist has 30% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 65 liters of 32% acid solution?
liters of 30% acid
liters of 40% acid
Answer:
30 = 80 %
40= 20 %
Step-by-step explanation
I'm sorry for not writing how to do it but it's something like if 30 = 100 then if we had 40 occupying 20 percent of that acid then we will get 32 percent
The number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let x be 30% solution of acid and y be 40% solution of acid.
Total quantity of solution is 65 liters.
Now, x+y=65 ----------(i)
Number of liters of solution should be mixed to obtain 65 liters of 32% acid solution.
So, the equation is 30% of x+40% of y=32% of 65
0.30x+0.40y=0.32×65
0.30x+0.40y=20.8 ----------(ii)
From equation (i), x=65-y
Substitute x=65-y in equation (ii), we get
0.30(65-y)+0.40y=20.8
19.5-0.30y+0.40y=20.8
0.10y=20.8-19.5
0.10y=1.3
y=1.3/0.1
y=13
Substitute y=13 in equation (i), we get x=52
Therefore, the number of liters of each solution should be mixed to obtain 65 liters of 32% acid solution is 52 liters and 13 liters respectively.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
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A rectangle has an area of 18 square centimeters. Which of the following could be the rectangle's length and width? (Area = equals length × times width)
Answer:
Step-by-step explanation:
any combination that has as result 18
18 x1
9 x2
6x3
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n=10 p=0.15 x<4
The probability of x<4 successes is
The probability of x<4 successes is P(X <4) = 0.01909.
How to find that a given condition can be modelled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Suppose we have random variable X pertaining to binomial distribution with parameters n and p, then it is written as
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there'd be x successes is given by
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
In this question:
n=10 p=0.15 x<4
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}\\\\\\P(X < 4) = \: ^{10}C_40.15^4(1-0.15)^{10-4}\\\\\\P(X < 4) = \: ^{10}C_40.00050625(0.85)^{6}\\\\\\P(X < 4) = 0.01909[/tex]
So, P(X <4) = 0.01909.
Learn more about binomial distribution here:
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Please help me in like 2 minutes due in 3 minutes
Answer:
5 dummy
Step-by-step explanation:
PLEASE HELP DUE TODAY
9514 1404 393
Answer:
16 square units
Step-by-step explanation:
When you plot the points, you see they define a trapezoid with bases of lengths 2 and 6, and a height of 4. The area formula is ...
A = (1/2)(b1 +b2)h
A = (1/2)(2 +6)(4) = 16
The area of the trapezoid is 16 square units.
1. At the post office, Tiffany paid $11.04 for 24 stamps. At this rate, how much Would it cost Tiffany to buy 18 stamps?
A. $0.46 B. $2.76 C. $8.28 D.$17.64
2. A group of friends hiked 7 miles in 2 hours. At this same rate, what is the total number of miles they can hike in 8 hours?
a. 40 Miles
b. 28 miles
C. 11 miles
D. 9 miles
Giving brainly to Who every answer this question Please explain
Answer:
For question one: $8.28
For question two: 28 miles
Step-by-step explanation:
For question one: You divide 11.04 by 24 to get .46 the multiply that .46 by 18 to get 8.28
For question two: The ratio between the two is 7/2 and x/8. So to find x, you divide 8 by 2, getting 4. Then multiply that 4 by 7 to get 28.
If 40 is increased to 56, what is the percent of change?
80%
29%
40%
71%
Answer:
what the first person said
Step-by-step explanation:
sally has 200$ in her checking account and gets paid 15$ an hour for babysitting kent has $245 in his checking account and gets paid $12 an hour for baby sitting how many hours do kent and sally need to work to have the same amount on money in their checking account
Answer:
Sally and Kent would have to each work a total of 15 hours to have the same amount of money in their checking account.
Step-by-step explanation:
Set up equations.
x = hours, T = total $
Sally:
T = 200 + 15x
Kent:
T = 245 + 12x
Set both equations equal to each other.
200 + 15x = 245 + 12x (subtract 200 from both sides)
15x = 45 + 12x (subtract 12x from both sides)
3x = 45 (divide both sides by 3)
x = 15
How many pairs of opposite sides are parallel
Help fast plsssssssssss
Answer:
- and -. =+ so-9+12=3
Step-by-step explanation:
the minus changes to plus and then we solve
2. Perform the following multiplication: (+5)(-2)(+7)(-4)(-1)
Answer:5
Step-by-step explanation:
20% of what number = 100
Answer:
500
Step-by-step explanation:
is 100 is 20%, multiply 100 by 5
A school needs 2,400 notebooks for next year if the notebooks come in packages of 60, how many packages should the school buy?
Answer:
40
Step-by-step explanation:
Divide 2400 by 60 to get 40
Hope this helps!
Answer:
40
-step explanation:
please help!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The Blue box is your answer
Step-by-step explanation:
Multiply 4, 8, and 7 and you get 224. The problem states that it should not be over 250, and 224 is not over 250. So the blue box is your best go.
Scarlet made a scaled copy of the following quadrilateral. She used a scale factor greater than 1. What could be the length of the side that corresponds with AD on the scaled copy of quadrilateral.
Answer:
10 or any number >9
Step-by-step explanation:
Side AD is 9 units long so if the scale factor is greater than 1 you multiply that side by 1. This will give you a number such as 10 or 18 or any number that is greater than 9.