Answer:
3,672
Step-by-step explanation:
Given the sequence 6, 9, 12...
The sequence is an arithmetic sequence
first term a = 6
common difference d = 9 - 6 = 12 - 9 = 3
number of terms n = 48
Sn = n/2[2a+(n-1)d]
Substitute the given values
S48 = 48/2[2(6)+(48-1)(3)]
S48 = 24(12+(3*47))
S48 = 24(12+141)
S48 = 24(153)
S48 = 3,672
Hence the sum of the first 48terms is 3,672
find the interest on $6,000 at 5% for one year
Answer:
300$
I=P×r×t
P= is the principal amount, $6000.00.
r=is the interest rate, 5% per year (you have to put it in decimal form to multiply)
t= is the time involved, which is 1 year
To find interest multiply 6000 × 0.05 × 1
Find the area of the blue shaded region.
10 m
8 m
18 m
20 m
A 144 m2
B 200 m2
C 56 m2
D 344 m2
Answer:
56
Step-by-step explanation:
area of whole figure=
l×b
=20×10
=200
also,area of small fig.
=l×b
=18×8
=144
thus area of shaded part =a of whole- a of small
=200-144
=56
At an assembly 7 out of the first 10 students who entered the gym were carrying a backpack.
Based on this information, if 700 students were at the assembly, how many students could be expected to be carrying a backpack?
Record your answer on the keypad and fill in the bubbles on your answer document. Be sure to use the correct place value.
Answer: 490
Step-by-step explanation: If 7 out of ten students have a backback you can also say 7/10. If in total there are 700 students we can multiply 7/10 or .7 woth 700 and get the answer. (7/10)(700)=490
brainless will be provided if you answer this question, but please hurry.
Which table shows a set of ordered pairs that appears to lie on the graph of a linear function?
Answer:
B
Step-by-step explanation:
Answer:
The answer is C. ✋✋✋✋✋
Cyber Monday Shopping A survey of U.S. adults found that of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the confidence interval of the true proportion. Round intermediate answers to at least five decimal places. Round your final answers to at least three decimal places.
Complete question :
Cyber Monday Shopping A survey of 1000 U.S. adults found that 33% of people said that they would get no work done on Cyber Monday since they would spend all day shopping online. Find the 95% confidence interval of the true proportion.
Answer:
(0.301 ; 0.359)
Step-by-step explanation:
Sample size, n = 1000
Phat = 0.33
(1 - phat) = 1 - 0.33 = 0.67
Zcritical at 95% = 1.96
Confidence interval :
Phat ± margin of error
Margin of Error = Zcritical * sqrt[(phat(1 - phat)) /n]
Margin of Error = 1.96 * sqrt[(0.33 * 0.67) / 1000]
Margin of Error = 1.96 * 0.0148694
Margin of Error = 0.0291440
Lower boundary = (0.33 - 0.0291440) = 0.300856
Upper boundary = (0.33 + 0.0291440) = 0.359144
(0.301 ; 0.359)
the points m(-10, 3) and p(-4, -8) are graphed on the coordinate plane. to the nearest tenth of a unit what is the distance between points m and p
Answer:
Distance between points m and p = 12.53 unit (Approx.)
Step-by-step explanation:
Given:
Co-ordinate of points
m(-10, 3)
p(-4, -8)
Find:
Distance between points m and p
Computation:
Distance between two points = √(x1 - x2)² + (y1 - y2)²
Distance between points m and p = √(-10 + 4)² + (3 + 8)²
Distance between points m and p = √(-6)² + (11)²
Distance between points m and p = √36 + 121
Distance between points m and p = √157
Distance between points m and p = 12.53 unit (Approx.)
Garth is giving 10 of the action figures from his collection to his brother. If a represents the number of action figures Garth has, which expression shows how many actions figures Garth will have left?
Which of the following shapes is
considered to be a 2 dimensional
figure?
A. A cylinder
B. A cube
C. A pyramid
D. A circle
Answer:
D, Circle
Step-by-step explanation:
All the other shapes are 3D and have a volume.
Jenna bought some rope for a project. The rope cost $3.50 per meter. She bought 432 centimeters of ropehow much did jenn pay for the rope
Answer:
1 meter= 100 cm
432cm/100=4.32 cm
$3.50*4.32=$15.12
the total cost is: $15.12
Step-by-step explanation:
Answer:
15.12
Step-by-step explanation:
Someone please help and show work!! I will also mark brainliest. I’ll appreciate it.
Answer:
1. 53
2. 20
3. 37
4. 29
Step-by-step explanation:
Since your trying to find the hypotenuse you equation is...
1. 28^2 + 45^2 = C^2
784 + 2025 = C^2
Square Root 2809= C^2
C=53
So after you square root 2809 you get 53.
2. 12^2 + 16^2 = C^2
144 + 256 = C^2
Square Root 400 = C^2
C=20
So after you square root 400 you get 40.
3. 12^2 + 35^2 = C^2
144 + 1225 = C^2
Square Root 1369 = C^2
C=37
So after you square root 1359 you get 37.
4. 20^2 + 21^2 = C^2
400 + 441 = C^2
Square root 841 = C^2
C=20
So after you square root 841 you get 29.
Find the length of the missing side
In which quadrant said is each point located.
Answer:
Quadrent II
Step-by-step explanation:
It is like a elevator. You have to walk to the elevator to go before you can go up. So you go to the negative area first and then climb up because 8 is positive, and that would land you in Quadrent II
PLEASE HELP ALL U HAVE TO DO IS SELECT IF IT IS NEGATIVE OR POSITIVE!
Answer:
Negative
Step-by-step explanation:
It just is....
Answer:
negative
Step-by-step explanation:
negative something(a) subtract by a positive(b) is still negative
Base your answer on Betty is thinking of two consecutive integers whose sum is 41.
What is the value of the larger integer?
Answer:
let the numbers be, x and x+1 ( as it is consecutive number the next number will have 1 more than the number )
sum = 41
so, x + ( x + 1 ) = 41
x + x + 1 = 41
2x + 1 = 41
2x = 41 -1 = 40
2x = 40
x = 40/2 = 20
x = 20
x + 1 = 20 + 1 = 21
so the consecutive numbers whose sum is 40 are, 20 and 21
hope this answer helps you.....
please mark as brainliest... thank you!
If the measure of ACB is 50 degrees, what is the measure of that AOB
Answer:
100 degrees
Step-by-step explanation:
α=2θ
α=2(50)
α=100
David has a monthly after-tax income of $ 1430.15 1430.15 . He will be using the companies health insurance plan which costs $ 63 63 a monthand the retirement option which takes 7 7 % of his after tax income. Calculate David's Monthly Take-Home pay.
Answer:
$ 1267.
Step-by-step explanation:
Given :
David's monthly income after tax = $ 1430.15
His health insurance cost him in a month = $ 63
Percent deducted from his income after tax for his retirement option is = 7%
Therefore money left after retirement option deduction is :
$ 1430.15 - 7% of $ 1430.15
= 1430.15 - 100.11
= $ 1330.04
= $ 1330 (aprrox)
Money deducted from this amount for his health insurance plan
= $ 1330 - $ 63
= $ 1267
Therefore, David's monthly take home pay is $ 1267.
A system of linear equations is shown below.
y= 2x + 1
y = - 1/4x + 3
Which equation can be used to determine the value of x for the solution?
Answer:
Step-by-step explanation:
hello :
2x+1 = -1/4 x+3....same y
What is an equation of the line that passes through the points (0,0) and (5,2)
Answer:
y = 2/5x
Step-by-step explanation:
slope = 2-0/5-0 = 2/5
y - 2 = 2/5(x - 5)
y = 2/5x
4.
What is the probability of getting a green or red, potted plant?
Red
Plants
Green
Ground
Potted
Ground
Potted
Ground
Potted
Purple
a. 24
b. 23
c. 13
d. 1/8
Answer:
b
Step-by-step explanation:
2/3 because if you look there are 3 answeres and only 2 are mentioned also if you take the number of potted to not potted and summed em up you woukd still have 2/3
If a sphere is 120 feet in diameter what is the volume?
Help please
Answer:
120
Step-by-step explanation:
due soon!! please help
Answer:
The area of the backyard is 18 cm
Answer:
39m²
Step-by-step explanation:
Area: Multiply the area and then add the remainder.
The total cost of 5 boxes of pasta is $13.00. Each box of pasta costs the same amount.
What is the cost, in dollars, for 1 box of pasta? (only enter a numerical answer in the box)
One box of pasta costs?
Answer:
$2.60
Step-by-step explanation:
13.00÷5=2.6
6 is in tens placement
Suppose you invest $130 a month for 5 years into an account earning 8% compounded monthly. After 5 years, you leave the money, without making additional deposits, in the account for another 25 years. How much will you have in the end?
Answer:
FV= $70,887.15
Step-by-step explanation:
First, we need to calculate the future value of the $130 deposit for 5 years:
FV= {A*[(1+i)^n-1]}/i
A= monthly deposit= $130
i= 0.08/12= 0.0067
n= 5*12= 60 months
FV= {130*[(1.0067^60) - 1]} / 0.0067
FV= $9,561.96
Now, using the following formula, the future value of the investment after 25 years:
FV= PV*(1 + i)^n
n= 25*12= 300
FV= 9,561.96*(1.0067^300)
FV= $70,887.15
the length of AB rounded to the nearest tenth is ___ units
Answer:
7.6
Step-by-step explanation:
√( 4 - -3) ^2 + ( -1 - 2) ^2
√(49 + 9)
√58
= 7.6
For purposes of making on-campus housing assignments, a college classifies its students as Priority A (seniors), Priority B (juniors), and Priority C (freshmen and sophomores). Of the students who choose to live on campus, 22% are seniors, 29% are juniors, and the rest are underclassmen. The most desirable dorm is the newly constructed Gold dorm, and 71% of the seniors elect to live there. 19% of the juniors also live there, along with only 5% of the freshmen and sophomores. What is the probability that a randomly selected resident of the Gold dorm is a senior? Show as much work as possible.
Answer:
The probability that a randomly selected resident of the Gold dorm is a senior is 0.1562
Step-by-step explanation:
The given percentage of each class of student is presented as follows;
Priority A (seniors) = 22%, ∴ P(s) = 0.22
Priority B (juniors) = 29%, ∴ P(j) = 0.29
Priority C (freshmen and sophomores) = (100 - 22 - 29)% = 49%, ∴ P(fs) = 0.49
The percentage of the seniors that elect to live at the Gold dorm, = 71%, ∴ P(sG) = 0.71
The percentage of the juniors that live at the Gold dorm = 19%, ∴ P(jG) = 0.19
The percentage of the freshmen and sophomores that live in the Gold dorm = 5%, ∴ P(fsG) = 0.05
The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = P(s) × P(sG)
∴ P(s∩sG) = 0.22 × 0.71 = 0.1562
Therefore;
The probability that a randomly selected resident of the Gold dorm is a senior = P(s∩sG) = 0.1562.
A car starts from rest and attains a velocity of 9km/h in 5 seconds . Calculate acceleration and the displacement covered in that time
Answer:
Acceleration is 0.5 m/s² and the distance covered is 6.25 m.
Step-by-step explanation:
Given that,
Initial speed, u = 0
Final speed, v = 9 km/h = 2.5 m/s
Time, t = 5 seconds
We need to find the acceleration and the displacement covered in that time. Acceleration = rate of change of velocity
So,
[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{2.5-0}{5}\\\\a=0.5\ m/s^2[/tex]
Distance d can be calculated using third equation of motion.
[tex]d=\dfrac{v^2-u^2}{2a}\\\\d=\dfrac{2.5^2-0^2}{2\times 0.5}\\\\d=6.25\ m[/tex]
So, acceleration is 0.5 m/s² and the distance covered is 6.25 m.
Help would be gradually appreciated
Answer:
area is 60.75 m^2
Step-by-step explanation:
Which One Doesn't Belong?
Choose the shape that does NOT belong with the
others.
Explain your thinking .
(A-REI) Consider the following system of equations.
3x - 5y = 4
5x + y = 16
Determine the y-coordinate of the solution of the
system.
Step-by-step explanation:
8y=78/5x=20
x=2/5
5(2/5)+y=16
2+5y=5(16)
2+5y=80
5y=78
y=78/5
Consider g(x)
4x + 9
x6+1
Which statement correctly uses limits to determine the end behavior of g(x)?
Answer:
the 3rd option
Step-by-step explanation:
Answer:
the correct answer to this is C, have a wonderful day :)
Step-by-step explanation: