Answer:
The time required to get a total amount of $ 640.00 from compound interest on a principal of $ 440.00 at an interest rate of 5.6% per year and compounded 365 times per year is approximately 7 years.
Step-by-step explanation:
Given
Principle Amount P = $440 Accrued Amount A = $640Interest rate r = 5.6% = 0.056Compounded daily n = 365To determine:
Time period t = ?
Using the formula
[tex]A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}[/tex]
solving for t
t = ln(A/P) / n[ln(1 + r/n)]
substituting the values A = 640, P = 440, n = 365 and r = 0.056
t = ln(640/440) / ( 365 × [ln(1 + 0.00015342465753425/365)] )
t = 6.691
t ≈ 7 (nearest year)
Therefore, the time required to get a total amount of $ 640.00 from compound interest on a principal of $ 440.00 at an interest rate of 5.6% per year and compounded 365 times per year is approximately 7 years.
Find the indicated probabilities using the geometric distribution, Poisson distribution, or the binomial distribution. The mean number of births per minute in a given country in a recent year was about 6. Find the probability that the number of births in any given minute is exactly five. Round to four decimal places as needed.
Answer:
0.1606 = 16.06% probability that the number of births in any given minute is exactly five.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
In this question:
We only have the mean during an interval, and this is why we use the Poisson distribution.
The mean number of births per minute in a given country in a recent year was about 6.
This means that [tex]\mu = 6[/tex]
Find the probability that the number of births in any given minute is exactly five.
This is P(X = 5). So
[tex]P(X = 5) = \frac{e^{-6}*6^{5}}{(5)!} = 0.1606[/tex]
0.1606 = 16.06% probability that the number of births in any given minute is exactly five.
Pleaseeeeee helppppppp
Select the correct answer from each drop-down menu.
Gilbert is training for a bike race. As part of his training, he does practice rides on portions of the actual race course. Gilbert's first practice ride
covers 5 miles of the course, and his second practice ride covers 9 miles of the course. Between these practice rides, he increase his average speed by 2 miles/hour .
The denominator of the function that models practice ride 2 represent the
A . Increase in Gilbert’s average biking speed
B. Distance Gilbert’s travels
C . Time it takes Gilbert’s to travel 5 miles
D . Biking speed for the second practice ride .
To find a function that models the total amount of time Gilbert spend doing practice rides on the race course
A . Add
B. Multiply
C . Divide
D . Subtract
The functions
Answer:
D . Biking speed for the second practice ride
Add
Step-by-step explanation:
Given :
First practice ride:
Distance = 5 miles
2nd practice ride :
Distance = 9 miles
Time models for each practice ride ;
First practice ride :
a(x) = 5 / x
x = speed
2nd practice ride :
b(x) = 9 / (x + 2)
Recall :
Time taken: distance / speed ; compacting with time taken equation of the 2nd practice ride :
Hence,
Speed of 2nd practice ride = x + 2
B.) To obtain a function for the total amount of time :
We take the sum of the first and second practice time : a(x) + b(x)
5/x + 9/(x+2)
Answer: For plato family
Biking speed for the second practice ride .
Add
Step-by-step explanation:
I just took the test
Three friends went to the movies. Each movie ticket cost $8.50. Each person ordered a drink for $4.75. Two friends also bought popcorn. The group spent a total of $53.75. The friends used the equation 3(8.50+4.75)+2p=53.75 to find how much one order of popcorn, p, cost. Which is the cost for one order of popcorn?
$2.00
$7.00
$11.75
$14.00
Answer:
P = $7.00
Step-by-step explanation:
Movie tickets = $8.50
Drink = $4.75
Two friends also bought popcorn
Total spent by the group = $53.75
Given equation:
3(8.50 + 4.75) + 2p = 53.75
Where,
P = cost of one order of popcorn
3(8.50 + 4.75) + 2p = 53.75
25.50 + 14.25 + 2p = 53.75
39.75 + 2p = 53.75
2p = 53.75 - 39.75
2p = 14
p = 14 / 2
p = 7
p = $7.00
Find the midsegment.
Answer:
14
20+8=28/2
your welcome
*PLEASE HELP QUICK*
Felipe is driving at a constant speed. The distance travelled depends on time.
d= distance in miles
t= time in hours
what is the rate of change of felipes driving speed?
how far will felipe drive in 6hrs?
9514 1404 393
Answer:
0150 milesStep-by-step explanation:
The appropriate relation is ...
distance = speed · time
d = 25t
__
The rate of change of Felipe's driving speed* is zero, since his speed is given as constant.
Felipe will drive 150 mile in 6 hours, as found using the equation:
d = 25(6) = 150
_____
* The question posed here asks for rate of change of driving speed. Perhaps, you want rate of change of distance, which is driving speed: 25 miles per hour.
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answer:
x =34
Step-by-step explanation:
180 - 100 = 80
80 = ( x + 12 ) + x
80 = 2x + 12
68 = 2x
x = 34
The distance from Salvador’s job to his house is three times greater than the distance from his house to the school. If his house is between his job and the school and the distance from his job to the school is 6 miles, how far is it from Salvador’s house to the school?
SHOW YOUR WORK pls and ty
Answer:
His school is 1.5 miles away :)
Step-by-step explanation:
6/4 = 1.5 miles
1.5 miles means his house is 1.5 miles from his school
Check the answer (1.5 times 3) = 4.5 miles so his job is 4.5 miles away.
4.5 + 1.5 = 6 miles
The distance between Salvador's house and his school is 1.5 miles
Let :
Distance from house to school = dTherefore;
Distance from job to house = 3dThen ;
Distance from job to school = 6 milesSince, house is in between job and school :
Distance from job to school = d + 3d 6 miles = 4d d = 6 ÷ 4 = 1.5 milesThe distance from house to school = d ; hence, distance between his house and school is 1.5 miles.
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A statistician chooses 27 randomly selected dates, and when examining the occupancy records of a particular motel for those dates, finds a variance of 34.34 and a standard deviation of 5.86 rooms rented. If the number of rooms rented is normally distributed, find the 95% confidence interval for the population standard deviation of the number of rooms rented. Interpret your interval in context.
Answer:
Confidence interval variance [21.297 ; 64.493]
Confidence interval standard deviation;
4.615, 8.031
Step-by-step explanation:
Given :
Variance, s² = 34.34
Standard deviation, s = 5.86
Sample size, n = 27
Degree of freedom, df = 27 - 1 = 26
Using the relation for the confidence interval :
[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]
From the chi distribition table :
X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844
Hence,
[34.34*26 / 41.923] ; [34.34*26 / 13.844]
[21.297 ; 64.493]
The 95% confidence interval for the population variance is :
21.297 < σ² < 64.493
Standard deviation is the square root of variance, hence,
The 95% confidence interval for the population standard deviation is :
4.615 < σ < 8.031
The population variance of 95% confidence interval is [tex]4.615<\sigma<8.031[/tex] and this can be determined by using the given data.
Given :
Variance = 34.34Standard Deviation = 5.86Sample Size = 2795% confidence intervalFirst, determine the degree of freedom.
[tex]df = 27-1=26[/tex]
The determine the confidence interval using the below formula:
[tex]\left(\dfrac{s^2(n-1)}{X^2_{\alpha/2,(n-1) }}\right);\left(\dfrac{s^2(n-1)}{X^2_{(1-\alpha)/2,(n-1) }}\right)[/tex]
Now, using the chi distribution the above expression becomes:
[tex]\left(\dfrac{34.34\times 26}{41.923 }}\right);\left(\dfrac{34.34\times 26}{13.844 }}\right)[/tex]
Simplify the above expression.
(21.297 ) ; (64.493)
So, the population variance of 95% confidence interval is:
[tex]\begin{aligned}\\21.297&<\sigma^2<64.493\\4.615&<\sigma<8.031\\\end{alingned}[/tex]
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Simplify the expression: 355 – (3+4. 2)2
Answer:
340.6
Step-by-step explanation:
355 - 7.2 * 2 =
355 - 14.4 =
340.6
PLZ HELP!! WILL AWARD BRAINLIEST!!
Graph the following equations.
y = 2x + 1
Answer:
The one is the y intercept so you would place it at (0,1) and then sense the slope is 2/1 you would either go back one and down two or go up two and over one
Step-by-step explanation:
What’s the answer pls
9514 1404 393
Answer:
(c) $497.90
Step-by-step explanation:
The 8.25% sales tax adds ...
0.0825 · $459.95 = $37.95
to the price, bringing the total to ...
$459.95 +37.95 = $497.90
2(c+3d) (c-d)
algebra
Answer:
Step-by-step explanation:
Is there any sign of addition or subtraction between (c + 3d) and (c - d) or we have to just multiply
If we have to multiply then
2(c + 3d) (c - d)
= 2(c2 - cd + 3cd - 3d2)
= 2(c2 + 2cd - 3d2)
= 2c2 + 4cd - 6d2
I need help please.
Answer:
5
Step-by-step explanation:
if you write a long list:111122333344555555566666677777888 you can see the number that occurs the most is 5.
Solve the systems of equations using substitution
Answer:
C
Step-by-step explanation:
[tex]y = 2x + 3 \\ y = 3x + 1 \\ 2x = y - 3 \\ x = 0.5y - 1.5 \\ y = 3(0.5y - 1.5) + 1 \\ y = 1.5y - 4.5 + 1 \\ y - 1.5y = - 3.5 \\ 0.5y = 3.5 \\ y = 7[/tex]
[tex]x = 0.5(7) - 1.5 \\ x = 3.5 - 1.5 \\ x = 2[/tex]
(2, 7)
it takes 20 minutes to drive from Micahs apartment to his school. Which unit is best for measuring how far Micah lives from school
Centimeters Millimeters Meters Kilometers
Answer:
The best unit for measuring how far Micah lives from school is kilometers.
Step-by-step explanation:
Kilometers is a widespread unit derived from SI (System International) unit for length (meter, 1 kilometer equals 1000 meters) used for distances in automotive applications, especially in cars, and among them the car described on statement.
Hence, the best unit for measuring how far Micah lives from school is kilometers.
i Write a linear function f with the values f(0) = 7 and f(2) = 12. A function is f(x)
Answer:
y=5/2x+7
Step-by-step explanation:
y=mx+b
12=m(2)+7
5=2m
m=5/2
If the nth term of a number sequence is n^2+4
find the first 3 terms and the 10th term.
Answer:
a) The sequence of first three terms
5 , 8 , 13 ..
b) The [tex]10^{th}[/tex] of the sequence
a₁₀ = 104
Step-by-step explanation:
Step(i):-
Given [tex]n^{th}[/tex] term of the sequence
aₙ = n² + 4
put n=1
First term a₁ = 1² +4 = 1+5
put n =2
Second term a₂ = 2²+4 = 4+4 =8
Put n=3
Third term a₃ = 3² +4 = 9+4 =13
The sequence of first terms
5 , 8 , 13 ..
Step(ii):-
Given [tex]n^{th}[/tex] term of the sequence
aₙ = n² + 4
put n =10
a₁₀ = 10²+4 = 100+4 = 104
a₁₀ = 104
The [tex]10^{th}[/tex] of the sequence
a₁₀ = 104
20−5(4/2)^2=? /= fraction
Answer:
0
Step-by-step explanation:
=20−5(2^2)
=20−(5)(4)
=20−20
=0
A grocery supplier believes that in a dozen eggs, the mean number of broken eggs is 0.6 eggs with a standard deviation of 0.3 eggs. You buy 3 dozen eggs without checking them.A) what is the expected number of broken eggs?B) what is the standard deviation?
Answer:
(a) 1.8 eggs
(b) 0.52 eggs
Step-by-step explanation:
According to the problem, computation of the given data are as follows:
The mean number of broken eggs in a dozen E(X) = 0.6
Standard deviation SD(X) = 0.3
(a). For 3 dozen eggs, number of broken eggs can be calculated by using following formula,
E(X) for 3 dozen = 3 × 0.6
= 1.8 eggs
(b). Standard deviation for 3 dozen can be calculated as follows,
SD (X) = ×[tex]\sqrt{3* (0.3)^{2}[/tex]
= [tex]\sqrt{27}[/tex][tex]\sqrt{27}[/tex]
= 0.52 eggs
The box plot represents a data set. What is the range of the middle 50% of the data?
Answer:
7
explanation:
15 - 8 = 7
The range of the middle 50% of the data is 7.
We have a set of numbers plotted on a number line.
We have to find the range of middle 50% of the data.
What is interquartile range ?The interquartile range abbreviated as (IQR) is a measure of statistical dispersion, which is the spread of the data. The IQR is also called the mid-spread, middle 50% and fourth spread.
According to the question -
The Interquartile range is the difference of third quartile and first quartile.
From the given figure -
First quartile = Q[1] = 8
Third quartile = Q[3] = 15
Range of IQR = Q[3] - Q[1] = 15 - 8 = 7
Hence, the range of the middle 50% of the data is 7
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CS Algebra
Test Iten
Given the equations below, what is the product of x and y?
3
8(x - 2) = 2x + 8
ay+9 = -2(y + 1)
=
A 16
B 4
C4
0 c
D -16
Answer:
Hope this helps :)
Step-by-step explanation:
8(x - 2) = 2x + 8
y+9 = -2(y + 1)
value of x in 8(x - 2) = 2x + 8
x=4
substitue
y+9=−2(y+1)
value of y y+9=−2(y+1)
y= - 11/3 or 3.66...
x=4
y=4 (I rounded 3.66)
write three expressions for 7a+21
Dawn is making an abstract painting with two triangles. the dimensions are 6 in by 10 in and 8 in by 10 in. what is the total area in square inches.
Anwser: First triangle area =0.5*8*10=40 in2. Secound triangle area =0.5*8*6=24 in2 Sum is 1st area + 2nd area, which is 64 in2.
A cabinet, 4 chairs, and 2 tables cost $825. The cabinet costs 3 times as much as a chair. The table costs $120 more than a chair. What is the cost of the cabinet? Please answer with work so I know how to do It next time.
let
x = the cost of the cabinet
y = the cost of a chair
z = the cost of a table
A cabinet, 4 chairs and 2 tables cost $825
x + 4y + 2z = 825
The cabinet costs 3 times as much as a chair
x = 3y
The table costs $120 more than a chair
z = 120 + y
by solving the system of equations
x + 4y + 2z = 825
x = 3y
z = 120 + y
we find
x = $195
3 days ago • Mathematics • High School
11. The senior class at Eastside High School is get
class T-shirts
printed. The silkscreening
company that makes the shirts charges $8.25 per shirt and a one-tin
fee of $38 to make the
silkscreen. If the senior class has budgeted $4,500.00 for the T-shirts
what is the greatest
number of shirts they can order?
Answer:
Greatest number of t-shirts that can be ordered is 540.
Step-by-step explanation:
Given that:
Cost of printing one shirt = $8.25
One time fee to make the silkscreen = $38
Budget for the t-shirts = $4500.00
Let,
x be the number of t-shirts
According to given statement;
8.25x + 38 ≤ 4500.00
8.25x ≤ 4500.00 - 38
8.25x ≤ 4462.00
Dividing both sides by 8.25
[tex]\frac{8.25x}{8.25}\leq \frac{4462.00}{8.25}\\x\leq 540.84[/tex]
Hence,
Greatest number of t-shirts that can be ordered is 540.
solve the inequality -1/3h_<7
Answer:
The solution to the given inequality
[tex]h\geq \frac{-1}{21}[/tex]
Step-by-step explanation:
Given inequality
[tex]\frac{-1}{3h} \leq 7[/tex]
⇒ -1≤ 7× 3h
⇒ -1 ≤ 21 h
⇒ 21 h ≥ -1
⇒ [tex]h\geq \frac{-1}{21}[/tex]
A ball-and-stick model of a glucose molecule is shown here.
How many of each type of atom are needed to make one
glucose molecule?
PLEASE HELP ME
Answer:
picture?
Step-by-step explanation:
Answer:
A ball-and-stick model of a glucose molecule is shown here.
How many of each type of atom are needed to make one
glucose molecule?
PLEASE HELP ME
Step-by-step explanation:
1 molecule of glucose contains 6 atoms of C, 12 atoms of H, and 6 atoms of O • 1 mole of glucose contains 6 moles of C atoms, 12 moles of H atoms, and 6 moles of O atoms. 10 moles of glucose contains 60 moles of C, 120 moles of H, and 60
Simplify the following
3 27a3b9
1.1
X (2aºb)3
81512
Answer:
HI BYE 45 SO ME I THINK IT I DONT KNOW SO PEACE GOOD LUCK
What is the simplest value of 4⁰
Answer:
1
Step-by-step explanation:
An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then list them in order of preference. Suppose the same cola has actually been put into all three glasses. What is the probability that C is ranked first and D is ranked last?
Answer and explanation:
Probability = number of favorable outcomes/ total number of outcomes
Since all glasses labelled C, D, and P are all same Cola
Probability that C is ranked first = 1/3
Probability that D is ranked last = 1/3