find the amount accumulated after investing a principal P for t years at an interest rate compounded k times per year .
Answers
Answer:
A = $2,122.20
Step-by-step explanation:
A = P(1 + r/k)^kt
Where,
A = future amount
P = principal = $1,500
r = interest rate = 7%
k = number of periods compounded = 4
t = years = 5 years
A = P(1 + r/k)^kt
= 1,500 (1 + 0.07/4)^4*5
= 1,500 (1 + 0.0175)^20
= 1,500 (1.0175)^20
= 1,500 (1.4148)
= 2,122.20
A = $2,122.20
Related Questions
3x+15/2 <30
Please help fast by the way the whole equation 3x+15 is over 2.
Answers
Answer:
x < 15
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
one third of a number x is equal to 8
Answers
—
if you were to solve it
x would be 24
[ x = 24 ]
Answer:
ok
Step-by-step explanation:
Sergio claims that 20/20 equals 1% . Which statement is true regarding his claim? A .Sergio is correct because 20/20 equals 1% B . Sergio is correct because 20 out of 20 represents 1 whole. C. Sergio is incorrect because 20/20 equals 100/100 D.Sergio is incorrect because the ratio simplifies to 0.
Answers
Step-by-step explanation:
Percentage = (20/20) * 100% = 100%.
Hence Sergio is incorrect because 20/20 equals 100/100, so it would be 100% instead of 1%. (C)
Answer:
Percentage = (20/20) * 100% = 100%.
Step-by-step explanation:
The original cost of a sofa was $600. If it was discounted 40% and sales tax is 8%, what is the final cost of the sofa
Answers
Answer:
$312
Step-by-step explanation:
10% of $600 is $60
So $60*4=$240
$600-$240=$360
1%=$6
So $6*8=$48
$360-$48=$312
There are 143 students, 6 teachers, and 8 chaperones going to the theater. To reserve their seats, they need to reserve entire rows. Each row has 9 seats.
How many rows must they reserve?
Answers
how many men have a waist measurement of more than 85cm
Answers
Answer:
29
Step-by-step explanation:
A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses salad dressings is working properly when 8 ounces are dispensed. Suppose that the average amount dispensed in a particular sample of 35 bottles is 7.91 ounces with a variance of 0.03 ounces squared. Is there evidence that the machine should be stopped and production wait for repairs? The lost production from a shutdown is potentially so great that management feels that the level of significance in the analysis should be 99%.
Answers
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis is:
[tex]H_o: \mu = 8[/tex]
The alternative hypothesis is:
[tex]H_1 : \mu \ne 8[/tex]
The sample size n = 35
Sample mean = 7.91
variance = 0.03
Standard deviation = [tex]\sqrt{0.03} = 0.173[/tex]
The t-test statistics is computed as:
[tex]t = \dfrac{\bar x - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{7.91 -8}{\dfrac{0.1732}{\sqrt{35}}}[/tex]
[tex]t = \dfrac{-0.09}{\dfrac{0.1732}{5.916}}[/tex]
t = - 3.0741
Degree of freedom:
df = n - 1
df = 35 - 1
df = 34
Level of significance = 1 - C.I
= 1 - 0.99
= 0.01
The t_{critical} value for the two-tailed test at 0.01 is within the rejection region:
[tex]t_{critical} = -2.728 \ and \ 2.728[/tex]
Decision rule: To reject [tex]H_o[/tex] if [tex]t< -2.728 \ or \ t > 2.728[/tex]
As [tex]t_{statistics}[/tex] fails the rejection region, we reject [tex]H_o[/tex]
Conclusion: There is sufficient evidence to believe that the machine will not dispense 8 ounces & and it must be stopped for repairs.
You can use hypothesis testing with t test to know if there is enough evidence that he machine should be stopped and production wait for repairs.
There is enough evidence that the machine should be stopped and production wait for repairs.
Given information about taken sample are:Sample mean [tex] \overline{x} = 7.91[/tex]Sample size n = 35Sample standard deviation [tex]s = \sqrt{variance} = \sqrt{0.03} = 0.1732[/tex]Confidence should be of 99%.Let the population mean be denoted by [tex]\mu[/tex]
Forming hypotheses:Null hypothesis: [tex]\mu = 8[/tex] (that is, machine needs no repair and working fine)
Alternate hypothesis: [tex]\mu \neq 8[/tex] (that is, machine is not dispensing right amount and need repairs)
Using t test:
[tex]t = \dfrac{\overline{x} - \mu}{\dfrac{s}{\sqrt{n}}}[/tex]
[tex]t = \dfrac{7.91- 8}{\dfrac{0.1732}{\sqrt{35}}} = -0.30821[/tex]
Degree of freedom = sample size - 1 = 34
Level of significance = [tex]\alpha = 1 -0.99 = 0.01[/tex]
From t tables we have:
[tex]t_{critical} = t_{0.01} = \pm 0.278[/tex] (two tailed test) (at 34 degree of freedom)
Since obtained value of t -0.30821 is less than the minimum value of range [tex](-0.278, 0.278)[/tex], thus lying outside the range and thus, we cannot accept the null hypothesis and end up accepting the alternate hypothesis.
Thus, there is enough evidence that the machine should be stopped and production wait for repairs.
Learn more about testing of hypothesis for single mean here:
https://brainly.com/question/25316952
Given the equation [tex]\sqrt[2]{x-5} = 2[/tex], solve for x and identify if it is an extraneous solution.
x = 6, solution is not extraneous
x = 6, solution is extraneous
x = 11, solution is not extraneous
x = 11, solution is extraneous
Answers
Answer:
x = 6, solution is not extraneous
Step-by-step explanation:
If you go and plug in 6 then the equation works well and there are no extraneous solutions.
What is the answer to this
Answers
Answer:
x = - 1
Step-by-step explanation:
Given
- 5x - 16 = 9x + x - 1, that is
- 5x - 16 = 10x - 1 ( subtract 10x from both sides )
- 15x - 16 = - 1 ( add 16 to both sides )
- 15x = 15 ( divide both sides by - 15 )
x = - 1
Samantha invested $670 in an account paying an interest rate of 5.5% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,740?
Answers
Answer:
17 years
Step-by-step explanation:
The formula for the value of an account earning compound interest can be used to find the number of years. That formula is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at annual rate r compounded n times per year for t years.
__
Solving for t, we find ...
A/P = (1 +r/n)^(nt) . . . . . . divide by P
log(A/P) = nt·log(1 +r/n) . . . . take logarithms
t = log(A/P)/(n·log(1 +r/n)) . . . . . divide by the coefficient of t
For the given values, the time required is ...
t = log(1740/670)/(365·log(1 +0.055/365)) ≈ 17.353
It would take about 17 years for the account value to reach $1740.
_____
Additional comment
The time-value-of-money (TVM) apps of your calculator or spreadsheet can be used to find the time period of interest. Here, setting P/Y = 1 gives N in years.
1929 concert tickets were sold for a total of $31,062. If students paid $13 and nonstudents paid $20, how many student tickets were sold?
Answers
Answer:
answer is attached in the figure below hope it helps please mark it as brainlist
Which value is equivalent to the expression 4^5
Answers
Answer:
20
Step-by-step explanation:
Christopher has breakfast at a cafe and the cost of his meal is $36.00 Because of the service, he wants to leave a 10% , percent tip.
the answer is 39.60
Answers
24) 30 people are running a 5k. How many different ways can the runners finish in 1st, 2nd, and
3rd place?
Answers
Answer:
90 different ways
Step-by-step explanation:
30 people can finish first, 30 people can finish 2nd, 30 people can finish 3rd. Ends up being 90 different outcomes.
Evaluate: 12 divided by y+9d if y = 5 and d = 7
Answers
12/68 = 6/34 = 3/17
The solution is 3/17
Answer:
0.25
12/5+(7x5)
Step-by-step explanation:
12/5+(7x5)
12/5+35
12/40
There are 95 students at an
assembly. They are sitting in rows
and there are 7 students in each
row. How many rows will be needed
to seat all the students?
Answers
95 divided by 7 is 13.57 so Round up to 14.
Answer:
about 14 chairs
Step-by-step explanation:
All you do is do 95 divided by 7, which is 13.57142857142857.... If your teacher would want you to round, then answer with 14, but if they wouldn't, I would just do 14
I NEED HELP ASAP PLZ
Answers
first one
Step-by-step explanation:
Answer:
1/2 is the answer
Step-by-step explanation:
6) Determine if the two figures are similar. Present an informal argument to present
as to why they are or are not similar.
Step 1
Step 2
Step 3
Answers
Answer:
yes they are similar
step 1: flip it across the y-axis
step 2: translate it 4 units to the right and 5 units down
step 3: dilate it by a factor of 1/2
Step-by-step explanation:
Can someone help please
Answers
Answer:sorry i cant
Step-by-step explanation:
The value of x, rounded to the nearest tenth is...
Answers
Answer:
67
Step-by-step explanation:
Leonel has $25.00 to spend. He decided to buy a hat for $18.75 and spend the rest on wristbands. If each wristband costs $4.75, how many wristbands can Leonel buy?
Answers
Plz answer the question attached
Answers
Answer:
y = -2x + 5
Step-by-step explanation:
To find the slope, you need to pick two points and put into the slope formula. It doesn't matter which ones, you will get the right answer regardless. I used (-3, 11) and (2, 1).
[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2[/tex]
Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form. You will also need to plug one of the given points. Again, it doesn't matter which one.
[tex]y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5[/tex]
Ellen already knew 50 appetizer recipes before starting culinary school, and she will learn 4 new appetizer recipes during each week of school. After 73 weeks of culinary school, how many total appetizer recipes will Ellen know? Write and solve an equation to find the answer.
Answers
Answer:
342
Step-by-step explanation:
50+4x=y
x=73
2x^2-20x+100 quadratic formula
Answers
Answer:10
Step-by-step explanation:
A computer's hard disk holds 7.5 * 107 bytes of information. Jaden adds an extra memory stick so he can store a total of 7.75 X 107 bytes of information. The memory stick holds mx 109 bytes of information, where mis and n is
Answers
Answer:
I believe that the awnser is 2.5 and 6
Step-by-step explanation:
Answer:
The other person is right
Step-by-step explanation:
Can you guys help me find the answer, I’m in 6th grade?
Answers
Please help me please I am failing
Answers
Answer
1/3
Step-by-step explanation:
This is because the number of spaces in between all the dots is 3 and so each of those spaces is 1/3, therefore a-b is one line which is 1/3. :3
Each of four test scores in Connie’s class is to be weighted equally. On the first three tests, Connie scored 80%, 90% and 95%. What percent must she score on her fourth test to have an overall average of exactly 90%?
Answers
Answer:
95%is the answer
Step-by-step explanation:
Answer:
95%
Step-by-step explanation:
We can use the balancing method to do this.. first what is the total below 90?
The total is 10% because 90-80 which was the only percentage below 90 is 10%. Then, what is the total above 90?
The total is 5% because the only percentage above 90 is 95 and 95-90 is 5%
Now we use the balancing method to get from 5-10.
Using the balancing method we get 95%
Y=^2+5x-7 find the vertex
Answers
Answer:
-5/2-39/2
Step-by-step explanation:
solve the equations 7(x+4)=21
iready
Answers
Step-by-step explanation:
[tex]\bullet\hookrightarrow\sf 7 (x+4)=21 [/tex]
[tex]\bullet\Rrightarrow\sf 7x+28=21 [/tex]
[tex]\bullet\rightarrowtail\sf 7x=21-28 [/tex]
[tex]\bullet\twoheadrightarrow\sf 7x=-7 [/tex]
[tex]\bullet\looparrowright\sf x=\dfrac{-7}{7}[/tex]
[tex]\bullet\rightharpoonup\sf x=-1 [/tex]