Alonso is buying a new phone for $ 870
on the installment plan. He must put
down 15% and pay monthly payments
for one year. How much is each monthly
payment?
A.$13.05
B.$83.38
C. $61.63
D. $10.77
Answers
Answer:
A
Step-by-step explanation:
1. Get 15% of 870:
First, get 10 percent of 870, which is 87, then half that, which is 43.5
Get the 87 and add the 43.5 on it, to get the full 15%, you end up with $130.5, which is the monthly payment.
(Only problem is that im pretty sure you put an extra 0, because if you just wrote 87 dollar's then you would've got 13.05, the actual answer, but if you add an extra 0 then you end up with 130$, just to let you know.)
Related Questions
Anna has 7 baskets and some flowers . She has 5 fewer baskets than flowers. How many flowers Does Anna have
Answers
Answer:
Step-by-step explanation:
she has 12 flowers. if she has 5 fewer baskets than flowers then add 5 +7 and you get 12 your welcome
The components of vectors A and B are given below: A (5.1,0) B (-2.6, -4.3) What is the magnitude of vector sum (A+B)?
Answers
The magnitude of the vector sum (A + B) is approximately 4.974.
To find the magnitude of the vector sum (A + B), we need to add the corresponding components of vectors A and B and then calculate the magnitude of the resulting vector.
Given:
Vector A: (5.1, 0)
Vector B: (-2.6, -4.3)
To find the vector sum (A + B), we add the corresponding components:
(A + B) = (5.1 + (-2.6), 0 + (-4.3))
= (2.5, -4.3)
Now, let's calculate the magnitude of the vector (2.5, -4.3):
Magnitude = sqrt((2.5)^2 + (-4.3)^2)
= sqrt(6.25 + 18.49)
= sqrt(24.74)
≈ 4.974
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Help !!
centimeters and millimeters <3
Answers
1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .
How to compare centimeters and millimeters ?The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.
The length of my book in when measured in millimeters is 280 mm.
In centimeters, this is therefore:
= 280 mm / 10 cm /mm
= 28 cm
Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.
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Part 2 Assignment (6 problems)
Use simple interest to find the ending balance!
1. If I invest $210 at 8% for 7 years. What is my ending balance?
Answer:
I
2. If I invest $14,000 at 6% for 9 years. What is my ending balance?
Answer:
3. If I invest $1,900 at 5.9% for 2.75 years. What is my ending balance?
Answer:
Answers
Answer:
1. $327.60
2. $21,560.00
3. $2,208.28
Step-by-step explanation:
The formula for simple interest is:
I = Prt
where
I = amount of interest
P = principal amount
r = annual interest rate
t = number of years
The total future amount after earning simple interest is the principal polus the interest.
F = P + Prt
F = P(1 + rt)
1.
F = P(1 + rt)
F = $210(1 + 0.08 * 7)
F = $327.60
2.
F = P(1 + rt)
F = $14,000(1 + 0.06 * 9)
F = $21,560.00
3.
F = P(1 + rt)
F = $1,900(1 + 0.059 * 2.75)
F = $2,208.28
Answer:
1. $327.60
2. $21,560.00
3. $2,208.28
Step-by-step explanation:
The formula for simple interest is:
I = Prt
Shows us;
I = amount of interest
P = principal amount
r = annual interest rate
t = number of years
Calculating Present and Future value investments to find the balance;
F = P + Prt
F = P(1 + rt)
1.
F = P(1 + rt)
F = $210(1+ (0.08 * 7)
F = $327.60
2.
F = P(1 + rt)
F = $14,000(1+ (0.06 * 9)
F = $21,560.00
3.
F = P(1 + rt)
F = $1,900(1+ (0.059 * 2.75)
F = $2,208.28
The Food Marketing Institute shows that 17% of households spend more than $100 per week on groceries. Assume the population proportion is p = .17 and a simple random sample of 800 households will be selected from the population.
a. Calculate σ(p), the standard error of the proportion of households spending more than $100 per week on groceries (to 4 decimals).
b. What is the probability that the sample proportion will be within +/- .02 of the population proportion (to 4 decimals)?
c. What is the probability that the sample proportion will be within +/- .02 of the population proportion for a sample of 1600 households (to 4 decimals)?
please show all steps and formulas
Answers
The probability that the sample proportion will be within +/- .02 of the population proportion for a sample of 1600 households is 0.9945.
a. To calculate σ(p), the standard error of the proportion of households spending more than $100 per week on groceries, we can use the following formula:
σ(p) = √[p(1-p)/n]Where p is the population proportion and n is the sample size.
In this case, p = .17 and n = 800, so the standard error of the proportion of households spending more than $100 per week on groceries is σ(p) = 0.0126.b.
To calculate the probability that the sample proportion will be within +/- .02 of the population proportion, we can use the following formula:
P(|p – p0| ≤ δ) = 1 – 2α
Where p is the population proportion, p0 is the sample proportion, δ is the margin of error, and α is the level of significance (which is usually set to 0.05).
In this case, p = .17, p0 = .17, δ = .02, and α = 0.05, so the probability that the sample proportion will be within +/- .02 of the population proportion is 0.9000.c. To calculate the probability that the sample proportion will be within +/- .02 of the population proportion for a sample of 1600 households, we can use the same formula as above, but with n = 1600.
In this case, p = .17, p0 = .17, δ = .02, and α = 0.05, so the probability that the sample proportion will be within +/- .02 of the population proportion for a sample of 1600 households is 0.9945.
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urgent help pls...correct answer will be marked as the brainliest
1. (-5) + (-3) ______ (-3) - (-5)
don't spam..!
Answers
(-5) + (-3)< (-3) - (-5)
hope it helps you
more related questions
(a) (– 3) + (– 6) < (– 3) – (– 6)
(b) (– 21) – (– 10) > (– 31) + (– 11)
(c) 45 – (– 11) > 57 + (– 4)
(d) (– 25) – (– 42) > (– 42) – (– 25)
itz ur AbhiLet f(x) = x^2-4 what is the range
Answers
Answer:
Range: [−4,∞)
Step-by-step explanation:
Hope it helps:)
Answer:
Range: [-4, ∞), {y|y ≥ -4}
Step-by-step explanation:
It helps if you graph the function to better understand what the range is.
In interval and set-builder notation, the range is:
[-4, ∞), {y|y ≥ -4}
This is knowing that the Domain is:
(-∞, ∞), {x|x ∈ R}
What is the nature of roots of x- 9x = 20 ?
a. nonreal
b. real, rational, and equal
c. real, rational, and unequal
d. real, irrational, and unequal
Answers
Answer:
Option C
Step-by-step explanation:
To find the nature of the roots we use the Discriminant formula which is:
\(D=b^2-4ac\)
and given the equation and compare with the standard quadratic equation
\(x^2-9x=20\\x^2-9x-20=0\\ax^2+bx+c=0\)
Here our a is 1 , b is -9 and c is -20 so we plug a, b, c into the Discriminant formula
\(D=b^2-4ac\\D=(-9)^2-4(1)(-20)\\D=81+80\\D=161\)
Since D > 0 (greater than zero) our roots are real and unequal for the rational and irrational part we got know the the Discriminant's square root value if it is in decimals the nature of the roots are irrational if the Discriminant's value is a whole number then it is rational and so 161 has a square roots in points which is
\(D=\sqrt{161} \\D=12.6885\)
So our answer is real , irrational and unequal which is Option C
Jimmy runs 16 laps around the track every day. If he decides to run 24 laps today. what percent of the laps did he run?
Answers
Answer:
150%
Step-by-step explanation:
Answer:
66.7%
Step-by-step explanation:
\( \frac{16}{24} \times 100 = 66.67\)
in one hour Dele walks 8km. how long will it take her to walk 14km at the same rate
Answers
Answer:
it will take her 2 hours and 45 minutes
Write a system of linear equations for the graph below.
Answers
Answer:
\(\left \{ {{y=-2x+2} \atop {y=-\frac{1}{4}x-5 }} \right.\)
Step-by-step explanation:
1. the equation for the first line (its poits are (0;2) and (4;-6)):
y= -2x+2;
2. the equation for the seconde line (its points are (0;-5) and (4;-6)):
y= -1/4 x -5;
3. the required system of linear equations is:
\(\left \{ {{y=-2x+2} \atop {y=-\frac{1}{4}x-5 }} \right.\)
Once you have constructed the parabola, use GeoGebra to display its equation. In the space below, rearrange the equation of the parabola shown in GeoGebra, and check whether it matches the equation in the vertex form that you wrote in part G. Show your work.
Answers
Answer:
Step-by-step explanation:
A. Directrix: y = 4-6 = -2
:::::
B. Axis of symmetry: x = 6
Axis of symmetry intersects directrix at (6,-2)
:::::
C . Vertex is halfway between focus and directrix, at (6,1)
:::::
D. The focus lies above the directrix, so the parabola opens upwards.
:::::
E. Focal length p = 1/(4×0.5)
:::::
F. p = 0.5
::::
G. y = 0.5(x-6)² + 1
Explain the process you would use to find the area of the shaded region. Then calculate the shaded region.
You may leave your answer in terms of π or round to the nearest tenth.
Answers
The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.
What is the area of the shaded regions?Question 17) is a figure of a rectangle and two inscribed circles.
The area of a rectangle is expressed as: A = length × width
The area of a circle is expressed as: A = πr²
Where r is the radius.
To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.
Area = ( Length × width ) - 2( πr² )
Area = ( 40 × 10 ) - 2( π × 5² )
Area = ( 400 ) - 2( 25π )
Area = 400- 50π
Area = 242.9 cm²
Area of the shaded region is 242.9 squared centimeters.
Question 18) is the a figure a sector of a circle and a right triangle.
The area of a sector is expressed as: A = (θ/360º) × πr²
The area of a triangle is expressed as: A = 1/2 × base × height
To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.
Hence:
Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )
Plug in the values:
Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )
Area = 25π/4 - 12.5
Area = 7.1
Therefore, the area of the shaded region is 7.1 square units.
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Which of the following is a true statement of the figure?
An image of a triangle ABC. The angle bisector of angle B is ray BD. Point D lies on side AC.
Question 1 options:
A
D
D
C
=
D
C
C
B
A
C
A
B
=
D
B
D
C
A
D
D
C
=
A
B
C
B
B
C
B
A
=
D
C
C
B
Answers
Angle ∠EBD is congruent to angle ∠DBA. Option D is the true statement.
What is an angle bisector?An angle bisector is the line segment that bisects the angle into two equal halves.
Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
Here,
Ray BE is a bisector of angle CBA,
∠CBE = ∠EBA = 60°
∠EBD = ∠EBA - ∠DBA
∠EBD = 60 - 30 = 30
So,
∠EBD = ∠DBA [DB becomes angle bisector of angle EBA]
Thus, ∠EBD is congruent with ∠DBA is the only correct answer among the option.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
Which of the following statements is true if ray BE is a bisector of angle CBA?
A. Ray BD is a bisector of angle CBA.
B. ∠EBD is congruent to ∠CBE.
C. Ray BE is a bisector of angle ABE.
D. ∠EBD is congruent to ∠DBA.
11. Two students describe how to solve the equation, 23+n=29 . Student A says to add 23 to both sides, while Student B says to subtract 23 from both sides. [3 points]
Part A. Which student has the correct description and why?
Part B. Solve the equation 23 + n =29 using inverse operations.
Answers
Answer:
student b
Step-by-step explanation:
the 23 is a positive # so you would not add but subt.
23+n=29
-23 -23
n=6
Answer:
You have Ms. Keten too? Tbh I dont like her as a math teacher.
Sammy is making a Cartesian plane in math class. She needs to draw all of the quadrants. How many quadrants are in a Cartesian plane?
Answers
Answer:
4
Step-by-step explanation:
There is 4 quadrants in a Cartesian Plane.
Solve the logarithmic function log6
Answers
Answer:
Yo yo yo yoinayuajajaaiaiaiia
Step-by-step explanation:
bsjsjjajsjausuwuwhyy6uuuyyyyyyyyy666666666666666666666
Step-by-step explanation:
0.7781that's your answerFind the Greatest Common Factor of the Numerator and Denominator
10/70
Answers
Answer:
GCF (10,70) = 10
The mass of a quarter is 5.67 grams. The mass of a dime is 0.4 times the mass of a quarter. What is the mass of a dime?
Show the working
Answers
Answer:
the mass of a dime is 2.268 grams.
Step-by-step explanation:
Given that the mass of a quarter is 5.67 grams, the mass of a dime can be found by multiplying 0.4 to the mass of a quarter.
So,
Mass of a dime = 0.4 × mass of a quarter
= 0.4 × 5.67 grams
= 2.268 grams
Therefore, the mass of a dime is 2.268 grams.
Which is the correct equation for a line that passes through the points (-2,7) and (2,-5)?
y=3x+5
y=1/3x+3
y= -3x-12
y= -3x+1
Answers
Answer:
y= -3x+1
Step-by-step explanation:
x1= -2 x2=2 y1=7 y2=-5
using the formula
(y-y1)/(x-x1)=(y2-y1)/(x2-x1)
(y-7)/(x-(-2))=(-5-7)/(2-(-2))
(y-7)/(x+2)=(-5-7)/(2+2)
(y-7)/(x+2)=(-12)/4
(y-7)/(x+2)=-3
cross multiply
y-7=-3(x+2)
y-7=-3x-6
y=-3x-6+7
y=-3x+1
127.6÷10 to the power of 5
im not sure if that is how you type it
Answers
Answer:
338262.124
Step-by-step explanation:
127.6/10 = 12.76 (depending on how many zero is how much you'll move the decimal to the left)
12.76^5 = 338262.124 because it's 12.76x12.76x12.76x12.76x12.76
URGENT PLEASE!!!!!!!!!!!!
Answers
Answer:
i got 178
Step-by-step explanation:
Answer:
its x=16 :)))
How do u do these percentages questions
Answers
Answer:
Step-by-step explanation:Determine the initial format of the number to be converted to a percentage. ...
Carry out a mathematical process on the number to be converted to a percentage. ...
Multiply the result of the mathematical process by 100. ...
Find the percentage of the original or real number. ...
Multiply the final number by 100.
13 A young girl standing on a cliff is throwing stones up into the air so that they land in the ocean below. The height h, in meters, of each stone above the ocean is related to the
time 1, in seconds, after it has been thrown by the function
h = -21? + 21 + 40. What is the maximum height reached by
each stone?
Answers
The maximum height reached by each stone is 40.5 meters.
The height of each stone above the ocean is given by the function:
h = -2t² + 2t + 40
This is a quadratic function in standard form, with a = -2, b = 2, and c = 40.
The maximum height reached by the stone occurs at the vertex of the parabolic curve described by this function.
The t-coordinate of the vertex is given as:
t = -b / 2a
Substitute the values of a and b,
t = -2 / (2×(-2)) = 0.5
So the maximum height is reached 0.5 seconds after the stone is thrown.
To find the maximum height, substitute the value of t into the function:
h = -2(0.5)² + 2(0.5) + 40 = 40.5 meters
Therefore, the maximum height reached by each stone is 40.5 meters.
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Ms fazing is the manager of a television station. Sue prepared a line plot to show the lengths of the commercials aired during a recent broadcast. She concluded that the longest commercial were 3 times as long as the shortest ones because 3 x 1/2=1 1/2. Did ms Fazio use the correct operation to support her conclusion? Explain
Answers
10.
Yes, because if we multiply the shortest commercial by 3, we obtain the length of the largest commercial:
3 x 1/2 = 1 1/2
12. It is logical, there's no way to improve his reasoning.
How do I Solve this equation
Answers
Hey there!
Solve for f :
Answer :f = 27.9 ✅
Explanation:> Given expression :
\( \displaystyle \frac{f}{9} = 3.1 \\ \\ \)
> Multiply both sides by 9 :
\( \displaystyle \frac{f}{9} \times \red{9} = 3.1 \times \red{9} \\ \\ \Longrightarrow \boxed{ \green{f = 27.9}} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)
Therefore, our answer is f = 27.9
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Given that f (x) = 2/x^2 , What is the value of f(x) when x = 2?
Answers
Answer:
The answer to the question is 1
Jim has a new job and earns a salary of $46,000. Valorie has a new job and earns a salary of $59,000. Jim will receive a salary increaseof $2,700 per year and Valorie will receive a salary increase of $1,500 per year. Based on this information, which TWO statements arecorrect?es )A)It will take 10 years for Jim to earn the same salary as Valorie.B)It will take 12 years for Jim to earn the same salary as Valorie.D)When solved for x, 46,000x + 2,700 = 58,000x + 1,500 gives the number ofyears it will take Jim to earn the same salary as Valorie.When solved for x, 46,000 + 2,700x = 58,000 + 1,500x gives the number ofyears it will take Jim to earn the same salary as Valorie.When solved for x, 46,000x + 2,700x = 58,000x + 1,500x gives the numberof years it will take Jim to earn the same salary as Valorie.E)
Answers
Let's use the variable x to represent the number of years.
So, if the initial salary of Jim is $46,000 and it increases by $2,700 each year, after x years, his salary is:
\(46000+2700x\)Doing the same for Valorire, her salary is:
\(58000+1500x\)In order to find after how many years their salary will be the same, we can equate both salaries and calculate the value of x:
\(\begin{gathered} 46000+2700x=58000+1500x \\ 2700x-1500x=58000-46000 \\ 1200x=12000 \\ x=\frac{12000}{1200} \\ x=10 \end{gathered}\)So let's check each option:
A.
True, it takes 10 years to they have the same salary.
B.
False, after 12 years Jim's salary is higher than Valorie's salary.
C.
False, the variable x should multiply the increase per year in the salary, not the initial salary.
D.
True, that's the equation and procedure we used.
E.
False, the variable x should multiply just the increase per year in the salary, not the initial salary.
So the correct options are A and D.
By examining the spreadsheet, what part of the financial plan might be missing?
a. plan for managing income
b. plan for financing
c. plan for protecting assets
d. plan for retirement
Answers
Answer:
its C plan for protecting assets
Step-by-step explanation:
i just did it on edg2020 and got 100%
help pleaseeee
question
What are reasonable constraints for the context?
A) 0 <= x <= 9 and 16 <= y <= 40
2)- 9 <= x <= 9 and - 1.798 <= y <= 17.798;
C) 0 <= x <= 12 and 16 <= y <= 48
D)0 < x < 12 and 16 < y < 48
Answers
Option C) 0 <= x <= 12 and 16 <= y <= 48 would be reasonable constraints for the context.
What is the inequality equation?
An inequality equation is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).
The x-axis represents the number of hours since 9 AM, which can range from 0 to 12 since the shift ends at 9 PM.
The y-axis represents the number of patients, which can realistically range from 16 to 48 as hospitals can have varying levels of patient traffic.
The constraint includes the endpoints of the range, which makes it more accurate.
Hence, Option C) 0 <= x <= 12 and 16 <= y <= 48 would be reasonable constraints for the context.
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