Answer:
The second one by 4 dollars
Step-by-step explanation:
Find the difference
Suppose Huang invests $720 into an annuity every month for five years. At the end of five years, the account has a balance
of $50,000. How much of this balance is interest?
Round your answer to the nearest dollar.
Do NOT round until you have calculated the final answer.
Answer:
$6,800
Step-by-step explanation:
The interest earn after 5 years will be $6800.
It is given that Huang invests $720 into an annuity every month for five years and at end of 5 years balance was $50000.
We have to find out the interest earn.
What do you mean by interest ?
Interest is an additional amount of money that is paid by the bank to customer on the amount deposited in his account.
As per the question ;
Investment made by Huang = $720 for five years
At end of five years , account balance = $50000.
So ;
Five years = 60 months
and the investment is an annuity every month for five years.
If Huang invests $720 every month for 5 years then total investment is ;
= $720 × 60
= $43200
And account balance at end of 5 years = $ 50000
So ;
Interest earn will be ;
= $50000 - $43200
= $6800
Thus , the interest earn after 5 years will be $6800.
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Tom works at an aquarium shop cleaning reef tanks. His job is to drain the tank. How much water is initally in
the tank before he starts to drain it?
Time (minutes)
Amount of Water
1
150
3
100
6
25
There are 175 cubic unit initially in the tank
How to determine the initial amount of water?The table of values is given as:
Time (minutes) Amount of Water
1 150
3 100
6 25
Calculate the slope (m) of the table using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (100 - 150)/(3 -1)
Evaluate
m = -25
This means that as the time increases by 1, the amount of the water reduces by 25 cubic unit
When x = 1, y = 150
So, we have:
x = 1 - 1 when y = 150 - (-25)
This gives
x = 0 when y = 175
Hence, there are 175 cubic unit initially in the tank
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WILL GIVE BRAINLIEST! How many possibilities of HELPS are there?
Answer:
8 helpd
Step-by-step explanation:
i know it iv had probability b4
Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 49 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for 1 hour is 1 pound and the standard deviation is 0.2 pound, what is the probability that the amount dispensed per box will have to be increased
Answer:
0.0143 = 1.43% probability that the amount dispensed per box will have to be increased
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean for 1 hour is 1 pound and the standard deviation is 0.2 pound
This means that [tex]\mu = 1, \sigma = 0.2[/tex]
Sample of 49:
This means that [tex]n = 49, s = \frac{0.2}{\sqrt{49}} = 0.0286[/tex]
What is the probability that the amount dispensed per box will have to be increased?
This is the probability of the sample mean being less than 15 pounds = 15/16 = 0.9375 ounces, which is the pvalue of Z when X = 0.9375.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.9375 - 1}{0.0286}[/tex]
[tex]Z = -2.19[/tex]
[tex]Z = -2.19[/tex] has a pvalue of 0.0143
0.0143 = 1.43% probability that the amount dispensed per box will have to be increased
Find the missing measures using trig
Answer:
Step-by-step explanation:
Chloe wants to ride her bicycle 52 miles this week. She has already ridden 16 miles. If she rides for 5 more days, what is the average number of miles she would have to ride each day to meet her goal?
8 men can complete the project in 24 days in how many days 12 men can complete the same project
Answer:
16days
Step-by-step explanation:
This is an inverse proportionality
Let the number of men be m
Let the time taken in days be d
Hence m ∝ 1/d
m = k/d
If 8 men can complete the project in 24 days, then;
8 = k/24
k = 8*24
k = 192
To determine the time it will take 12 men to complete the same job, we will say;
m = k/d
12 = 192/d
d = 192/12
d = 16
Hence it will take 12men 16days to finish the same job
HELP ASAP!!!!!. A spinner has three sections colored green, purple, and pink. If the spinner is spun twice, how many branches would the tree diagram that represents this situation have? 6 5 9 12
Answer:
9
Step-by-step explanation:
you would do 3+3+3 because there are 3 colors
And i just got it right on my quiz.
There will be 9 branches in the tree diagram of the situation.
What is tree diagram?In probability theory, tree diagrams can be used to represent probability spaces. A tree diagram can represent a set of independent events or conditional probabilities. Each node in the graph represents an event and is associated with the probability of that event.
Given,
A spinner of three sections colored green, purple and pink.
Number of outcomes = 3
spinner is spun twice,
then number of outcomes = 3 × 3 = 9
Number of branches in tree = 9
Hence, 9 branches will be there in probability tree diagram.
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40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
Just click an x on the graph for each number in the chart.
1/4 would have 4 x's
2/4 would have 2 x's
3/4 would have 1 x
1 would have 2 x's
Hi there, hope everyone is well and staying cool :D
Pls can you answer this question!
Brainliest, brainliest, brainliest.................
Pls send me your name first, then i will call you brainliest
The quickest and right answer gets to be brainliest and the rest I will thank you
ENJOY!!!!!!!!
Answer:
A) By using the Pythagorean Theorem, we will see that [tex]8^2 + 15^2 = 17^2[/tex]. If we simplify it, we will find that the hypotenuse of Δ[tex]ABC = 17[/tex]
B) approximately [tex]18.79[/tex]
Step-by-step explanation:
A) In all honesty, you don't really need to look at ΔACD at all for this one. Just use the Pythagorean Theorem (like previously stated) and solve!
***Pythagorean Theorem is [tex]leg^2 + leg^2 = hypotenuse^2[/tex]
B) Here, you can also use the Pythagorean Theorem! However this time, the equation will be, [tex]8^2 + 17^2 = AD[/tex].
[tex]8^2 + 17^2 = 64 +289[/tex][tex]64 + 289 = 385[/tex][tex]\sqrt{385} \\[/tex] ≈ [tex]18.79[/tex]Hope you do well on the rest of your math problems :D
{362 – [6x3 + (48 ÷ 2) x 2]} + 3(9 +4)
Answer:
335
Step-by-step explanation:
Brep
Cell phone Plan A costs$70 per month and comes with a free$500 phone. Cell phone Plan Bcosts$50 per month but does not come with a phone. If you buy the$500 phone and choose Plan B, how many months is ituntil your cost is the same as Plan A's?
Answer:
7.8 months but you can round it to 8 months
Step-by-step explanation:
Can someone please give me this answer to question 3 please
Answer:
kurt
Step-by-step explanation:
Alice has 5 quarters and 2 nickels. How many cents does Alice have
Answer:
Alice has 135 cents, or $1.35.
Step-by-step explanation:
A quarter is worth 25 cents.A nickel is worth 5 cents.Multiply 25 by 5, since there are 5 quarters. That will give you 125.Multiply 5 by 2, since there are 2 nickels. That will give you 10.Add 125 and 10. That will give you 135, which is your answer!A spinner has 3 equal sections labeled X, Y, and Z. Jinghua spins this spinner twice. Which represents all the possible outcomes for Jinghua?
Select one:
XY, XZ, YX, YZ, ZX, ZY
XX, XY, XZ, YX, YY, YZ, ZX, ZY, ZZ
X, Y, Z
XX, YY, ZZ
acually anwser or i'll report u
Answer:
XX, YY, ZZ
Step-by-step explanation:
HELP PLSSSS
hey can u look at the pic above pls and help
Answer:
1,296 students attended the fall play.
Step-by-step explanation:
Let the amount of students = s
Let the amount of adults = a
Three times the adults: 3a
150 fewer than three times the adults:3a-150
amount of students = 150 fewer than three times the adults: s=3a-150
We also know that a+s=1778. Let's sub in the value for s that we got above:
a+s=1778
a+3a-150=1778
4a=1928
a=482
a+s=1778
482+s=1778
s=1296
A die is rolled 200 times with the following results. Outcome 1 2 3 4 5 6 Frequency 32 36 44 20 30 38 What is the experimental probability of rolling the given result? a prime number a. 0.45 c. 0.71 b. 0.55 d. 0.73 Please select the best answer from the choices provided A B C D
Answer: B
Step-by-step explanation:
The prime numbers here are outcomes 2, 3, and 5.
Therefore, we must add the frequency numbers for these prime numbers:
36 + 44 + 30 = 110
Out of 200 dice rolls, 110 were prime numbers. This can be represented as:
110/200 = 11/20 (fraction form)
= 0.55 (decimal form)
Therefore, the answer is b. 0.55
Help please question in the picture
Answer:
81 m²
Step-by-step explanation:
The area of the figure = area of the rectangle + area of the triangle
= Length*Width + ½*base*height
Length = 10 m
Width = 6 m
base = 6 m
height = 7 m
Thus:
Area = 10*6 + ½*6*7
Area = 60 + 21 = 81 m²
What is the equation of the line that is the perpendicular bisector of the segment
with (10,-15) and (-10, 25) as endpoints?
y= kx + 10
y= kx + 5
y= -x + 10
y = 2x + 5
Answer:
y= kx + 5Step-by-step explanation:
Perpendicular bisector passes through the midpoint of the line.
The midpoint is:
x = (10 - 10)/2 = 0y = (-15 + 25)/2 = 5Slope of the line:
m = (25 - (-15))/(-10 - 10) = -2The line perpendicular to this has to have a slope of 1/2 as perpendicular lines have opposite-reciprocal slopes.
Use point-slope form and point (0, 5) to find the equation of the line:
y - 5 = 1/2(x - 0)y = 1/2x + 5Correct option seem B as others don't match ours
For each ordered pair, determine whether it is a solution to y=6.
Answer:
yes
no
yes
no
if their is a 6 in the y spot of the coordinate than it is a yes
Please helppppppppppp
Answer:
Shredders. Paper shredders can help you effectively dispose of sensitive documents and protect your personal information, whether at home or in the office.
Step-by-step explanation:
Answer:
Can you give us the drop down answers?
Step-by-step explanation:
The length, 1, of a wheelchair ramp is 3 more than 11
width, w. Which equation represents the relationship between
the length and the width of the ramp?
Answer: the length is 8
Step-by-step explanation: Because 11 minus 8 is 3
c. Translate the follom
4.) 51 - (x+5)
5.) 3(7-8)
Step-by-step explanation:
1. 51-x-5
= 46-x Answer
2. 21-24
= -3 Answer
what is 4=y−5 divided by 3
( the problem is written different it could also be read ad 4=y-5/3 i think because there is like a long line under the y-5 an under the line its 3 plz help
Answer:
y=17
Please mark me as brainliest.
At a drop-in mathematics tutoring center, each teacher sees 4 to 8 students per hour. The probability that a tutor sees 4 students in an hour is 0.12;5 students, 0.13; 6 students, 0.30; and 7 students, 0.33. Let be the number of students per hour of a randomly selected teacher.
Answer:
0
Step-by-step explanation:
am not sure, , have not studied
there are 6 rows of chairs 4 rows are empty
Answer:
then only 2 rows are full
Step-by-step explanation:
im confused but if thats it then thats the answer if im right mark me brainliest
:>
Make 6 prime number using 1,2,3,4,5,6,7,8,9
Answer:
13,67,29,17,19,23
Step-by-step explanation:
Answer:
1+2=3
2+3=5
4+3=7
9+2=11
9+4=13
3-1=2
The graph of the function g(x) is a transformation of the parent function f(x)=x².
Which equation describes the function g?
a) g(x)=(x+4)²
b) g(x)=x²+4
c) g(x)=x²−4
d) g(x)=(x−4)²
Answer:
The answer is c)
Step-by-step explanation:
g(x)=x^2-4
f(x) = 3x^2 - 7 4x^2 – 3 Find f(2)
Answer:
f=5/8x^2+-3/2Divide both sides by two
Step-by-step explanation:
Hope that helped
what is the equation of the line that passes through the point (-5, 1) and has a slope of -6/5?
Answer:
y = -6/5x - 5
Step-by-step explanation:
Use rise over run to find the slope of the line, and the -5 comes from the y-intercept