Answer:
Monthly payment = 241.925
Step-by-step explanation:
Effective interest rate is the actual interest paid at the end of the year AFTER compounding. Most credit cards charge x% ("APR", annual percentage rate)annually. Since it is compounded monthly, each month the balance increases by (x//12)%, and by the end of the year, you will be paying effectively (x//12)^12 %, which is the effective interest rate.
Here, effective (annual) interest rate is 8%. We need the monthly rate, i.
(1+i)^12 = 1.08
Solving, we have i = 0.6434% monthly approximately
To balance the deposits and withdrawals, we note that the last withdrawal is the beginning of year 19, and the last deposit is the last month of year 18. We therefore conclude that the "future values" fall on the same day, and that they are equal.
We consider the annual deposits D (accumulated at the end of the year, and annual withdrawals W are in separate accounts. By the end of the operations, one will balance the other (they are equal).
We will need the following formula to calculate future value F given the periodic amount, A, interest rate per period, i, and the number of periods.
F(A,i,n) = A*((1+i)^n-1)/i
Step 1:
calculate the future value of the withdrawals
A = W = 25000 (annual withdrawal)
i = 8% (effective annual interest)
n = 4 years (beginning of 16,17,18,and 19th years)
F(A,i,n) = A*((1+i)^n-1)/i
= 25000( (1+0.08)^4 - 1)/(0.08)
= 112652.80
This is also the total deposit after eighteen years.
Step 2:
calculate the future value of the annual deposits D
A = D (total of annual deposits)
i = 8% (effective annual interest)
n = 18 years
Future value of deposits
F(A,i,n) = A*((1+i)^n-1)/i
= D( (1+0.08)^18 -1 ) / 0.08
= 37.45024373981167D
Since this must equal the total withdrawal, we equate the two to calculate D.
37.45024373981167D=112652.80
and solve for D
D = 112652.80 / 37.45024373981167
= $3008.0659
Step 3
Calculate monthly deposit, X
Effective interest rate is the actual interest paid at the end of the year AFTER compounding. Most credit cards charge x% ("APR", annual percentage rate)annually. Since it is compounded monthly, each month the balance increases by (x//12)%, and by the end of the year, you will be paying effectively (x//12)^12 %, which is the effective interest rate.
Here, effective (annual) interest rate is 8%. We need the monthly rate, i.
(1+i)^12 = 1.08
The actual monthly interest rate is therefore
i = 1.08^(1/12)-1
Over a 12 month period, (one year), the monthly amount X to accumulate an annual amount D (=$3008.0659) is therefore given by
D = X*((1+i)^n-1)/i
3008.0659 = X*(1.08-1)/(1.08^(1/12)-1)
or the monthly amount
X = $3008.0659 / ( 1.08^(1/12)-1)
= 241.925 per month.
=
65 70 75 80 85
Brand A
HIH
15
50
60
70
85
Brand B
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Price ($)
Which statement is the most appropriate comparison of the spreads?
O A. The interquartile range (IQR) for brand A, $20, is less than the IQR
for brand B. $70.
O B. The median for brand A, $75, is greater than the median for brand
B, $60.
O C. The interquartile range (IQR) for brand A, $10, is less than the IQR
brand B. $20.
O D. The interquartile ranges (IQRs) for brands A and B are both $20.
Given:
Two box plots for Brand A and Brand B.
To find:
The correct statement for the given box plots.
Solution:
In a box plot, the left end of the box represents the first quartile [tex](Q_1)[/tex], right end of the box represents the third quartile [tex]Q_3[/tex] and the line inside the box represents the median.
The interquartile range of a data set is:
[tex]IQR=Q_3-Q_1[/tex]
From the box plot of Brand A, it is clear that
[tex]Q_1=70[/tex]
[tex]Median=75[/tex]
[tex]Q_3=80[/tex]
So, the interquartile range (IQR) for brand A is:
[tex]IQR=80-70[/tex]
[tex]IQR=10[/tex]
From the box plot of Brand B, it is clear that
[tex]Q_1=50[/tex]
[tex]Median=60[/tex]
[tex]Q_3=70[/tex]
So, the interquartile range (IQR) for brand B is:
[tex]IQR=70-50[/tex]
[tex]IQR=20[/tex]
The median for brand A, $75, is greater than the median for brand B, $60.
The interquartile range (IQR) for brand A, $10, is less than the IQR
brand B. $20.
Therefore, the correct options are B and C.
determinants and inverses
Answer:
qustion number 1 the last one .
qustion number 2 the first one .
My little sister need help!
Twenty planes are at an airport. Eight planes take off, then five planes land, then 7
more take off, then 9 land. How many planes are left at the airport? PLS HELPP
Answer:
19
Step-by-step explanation:
20 - 8 = 12
12 + 5 = 17
17 - 7 = 10
10 + 9 = 19
After how many seconds ,t, will the object be 75 meters above the ground
Answer:
It will be above the ground in C
Step-by-step explanation:
find the slope! i have more to come so please help:(
=================================
Work Shown:
Rise = -3
Run = 2
Slope = rise/run = -3/2 = -1.5
----------------
Notes:
The rise and run correspond to the vertical and horizontal portions of the triangle shownThe rise is negative because we're going downhill when moving from left to right, so that also means the slope is negative. The run is always positive.Answer:
m = - 3 / 2
Rise : -3
Run : 2
Step-by-step explanation:
According to the picture,
first coordinate : ( 2 , 1 )
second coordinate : ( 4 , - 2 )
Formulae : m=(y2-y1)/(x2-x1)
Substituting,
m = ( - 2 - 1 ) / ( 4 - 2 )
m = - 3 / 2
If this helps you, please mark brainliest!
Pls only help if you know the correct answer! Thanks! :)
Answer:
Line B.
Step-by-step explanation:
Line A and line C don't have a negative side, so we can assume that those are wrong. On line D, -2 1/4 is supposed to be closer to -2, not -4 and -3.6 is supposed to be closer to -4, not -2, so line B is the correct answer.
Pamela wants to learn more about the career preferences of students in her school. She interviews a number of students from the advanced science class. Why is this sample likely to be biased?
Answer:
I hope this helps
Step-by-step explanation:
plz help I need to finish this Geometry
How do you know what method (SSS, SAS, ASA, AAS) to use when proving triangle congruence?
It depends on what type of triangle you’re dealing with, and what is marked similar.
Determine the value of angle V in the picture below. Please help
Answer:
40 degrees
Step-by-step explanation:
Mathematically, the sum of two opposite interior angles of a triangle equals the exterior angle
Thus, we have it that;
60 + (7x + 5) = 20x
60 + 5 = 20x-7x
13x = 65
x = 65/13
x = 5
But angle V = 7x + 5
V = 7(5) + 5
V = 35 + 5
V = 40
There were 60 7th grade students last year in CHAMPS. This year, there are 48 7th grade students. What is the percent decrease from last year to this year?
20%
Hope this helps! :)
______________
pls help me find num 6 & 7
Number 6 is B. And Number 7 is C
Answer: The answer of number 6 is D. The answer of number 7 is D.
Step-by-step explanation:
For number 6, y=110° because they are vertical angles. x=y=70°=180°-110°
For number 7, 180°-63°=117°=a
Another fairly simple one, pretty much a free Brainliest and 30 points.
Answer:
Solution given:
[tex]8\frac{7}{12}-3\frac{1}{3}=\frac{8*12+7}{12}-\frac{3*3+1}{3}[/tex]
=[tex]\frac{103}{12}-\frac{10}{3}[/tex]
taking lcm
=[tex] \frac{103-10*4}{12}=\frac{63}{12}=\frac{21}{4}=5\frac{1}{4}[/tex]
Answer:
5 1/4
Step-by-step explanation:
8 7/12 - 3 1/3
We need to get a common denominator of 12
8 7/12 - 3 1/3 *4/4
8 7/12 - 3 4/12
5 3/12
Simplifying the fraction
5 1/4
On this necklace the ratio of black beads to white beads is 1:3
How many more black beads do you need to add to make the
ratio of black to white 3:1?
Answer:
8 more black beads.
Step-by-step explanation:
B=1
W=3
B:W = 1: 3
Make
B:W = 3:1 = 9:3
So we need (9-1) = 8 more black beads.
Answer: chupa verga maricon de mierda
Step-by-step explanation:
7. Find the volume of space consumed by the toilet paper without the center cylinder.
4cm
SHOW YOUR WORK!
*
14cm
12 cm
I
Volume
Answer:
7. 1583.36 cm³
8. 13,627.18 m³
Step-by-step explanation:
Volume of space consumed by the paper = volume of outer cylinder - volume of center cylinder
✔️Volume of Outer Cylinder:
Volume = πr²h
r = ½(12) = 6 cm
h = 14 cm
Volume = π*6²*14
Volume = 1583.36 cm³
✔️Volume of center cylinder:
Volume = πr²h
r = ½(4) = 2 cm
h = 14 cm
Volume = π*2²*14
Volume = 175.93 cm³
✅Volume of space of the toilet paper = 1583.36 - 175.93 = 1583.36 cm³
8. Volume of the solid = volume of the cone + volume of the cylinder
✔️Volume of the cone = ⅓πr²h:
r = 13 m
h = 14 m
V = ⅓*π*13²*14
V = 2,477.67 m³
✔️Volume of the cylinder = πr²h
r = 13 m
h = 21 m
V = π*13²*21
V = 11,149.51 m³
✅Volume of the solid = 2,477.67 + 11,149.51 = 13,627.18 m³
The volume of a right rectangular prism can be found by finding the product 3(6)(12) Which expression could also be used to determine the volume of this prism? 36(6) 2(3 + 12 + 6) 4(3)(12) 12 + 6 +3
Answer:
D
Step-by-step explanation:
Please please help me if you can I really need it
If you can please answer all of the questions
They should be simple if you know basic geometry
Thank you so much
Answer:
1- c:25
2-cant help
3- A:2,8
4-cant help
The volume of the following figure is
240 in² which of the following is the missing side length?
A. 7 in
B. 6 in
C. 8 in
D. 5 in
Answer:
B cause it same
Step-by-step explanation:
If am wrong correct me thanks
- Andrew gave half of his money to support a local charity. From what was left, he spent
$22.75 on a present for his sister. If he had $183.89 left over, how much did he have to
begin with?
Find the surface area of a sphere
Show all the work
Answer:
452cm2
Step-by-step explanation:
surface area of sphere =4πr2
so 4π62 which equals to 452.39.
hope this helps u understand:)
Which term BEST describes the following statement?
You are looking at a map of the United States, and it is assumed that you already know which direction is north.
A. Proof
B. Theorem
C. Common Notion
D. Conjecture
Answer:
B. THEORM - this would be your answer
Step-by-step explanation:
Hope this helps :)
what is 8690 rounded off to the neareset hundred?
am just asking
Answer:
8700
Step-by-step explanation:
If it is 8,690 and you round to the nearest hundred it would add one to 90 making it 8,700
Answer:
Did not necessarily round up or down, but to the hundred that is nearest to 8690.
8690 rounded to the nearest hundred is: 8700
Write the equation of the line in slope-intercept form
Help PLEASE!!!!!!!!!!!!!!!!!!!!!!!
Answer:
=22 m²
Step-by-step explanation:
Total area= Area of rectangle 1 + Area of rectangle 2
Working together, Sam and Charlie can change all the light bulbs in the office building in 3 hours. It would have taken Charlie 8 hours to do the job alone.
A table showing Rate in part per hour, Time in hours, and Part of Light Bulbs Changed. The first row shows,Sam, and has r, 3, and r times 3. The second row shows Charlie, and has StartFraction 1 Over 8 EndFraction, 3 and StartFraction 1 Over 8 EndFraction times 3.
Which equation can be used to solve for the rate, r, for Sam to change all the light bulbs in the office building by himself?
3r = 3 r equals StartFraction 3 Over 8 EndFraction.
3r + 3 r plus StartFraction 3 Over 8 EndFraction equals 1. = 1
r + StartFraction 1 Over 3 EndFraction r plus StartFraction 3 Over 8 EndFraction r equals 1.r = 1
r + StartFraction 1 Over 3 EndFraction r plus StartFraction 1 Over 8 EndFraction r equals 1.r = 1
Answer:
B
3r + 3/8=1
Step-by-step explanation:
EDGE
Answer:
b
Step-by-step explanation:
Tres hermanas deciden comenzar una cadena, donando cada una a tres personas $5.000 en un mismo día; con la condición que a quienes ellas ayuden también deberán hacer lo mismo con tres personas al día siguiente. ¿Al cabo de una semana cuántas personas han participado en la cadena? ¿Finalizado el quinto día cuánto dinero se ha donado?
Answer:
Al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.
Step-by-step explanation:
Dado que tres hermanas deciden comenzar una cadena, donando cada una a tres personas $5.000 en un mismo día; con la condición que a quienes ellas ayuden también deberán hacer lo mismo con tres personas al día siguiente, para determinar, al cabo de una semana, cuántas personas han participado en la cadena, y finalizado el quinto día cuánto dinero se ha donado, se deben realizar los siguientes cálculos:
3^7 = X
2,187 = X
(3^5) x 5000 = X
243 x 5000 = X
1,215,000 = X
Por lo tanto, al cabo de una semana, 2187 personas han participado en la cadena, y al cabo del quinto día se habrán donado $1215000.
Help me find B in these 4 equations please
11) b= 25°
12) b= 63°
13) b= 93°
14) b= 46°
PLEASE PLEASE HELP ME PLEASE PLEASSE
EXPLANATION = BRAINLIEST
ANSWER NEEDS TO BE IN SIMPLEST FORM
please help
Answer:
the answer will be r=48-3 your answer will be 45Answer:
(6/5) π in^2 or 1.2 π in^2
Step-by-step explanation:
the area of a circle and the area of one circle sector are proportional.
Area of the circle = radius^2 * π = 3^2 π = 9π in^2
the hidden date is that the centre angle of a circumference is 360 degrees
we have now to use a proportion that has this meaning:
if the area is 9π in^2 when the angle is 360 degrees, what is the area when the angle is 48 degrees?
9π : 360 = x : 48
x = (48 *9π)/360 = (6/5) π in^2
Question 10 (4 points) Point A, located at (4, 1), is reflected over the x-axis and then translated (x - 3, y + 7). Write the location of A'
Answer:
(1, 6)
Step-by-step explanation:
Reflecting (4, 1) over the x-axis makes it (4, -1), the translation (x - 3, y + 7) means moving (4, -1) 3 left and 7 up
Graph the solution of 3x - 5<-8 or 2x – 7 >3.
Answer:
To be Honest I Really Don't know What are the Answers?
A) 3x -7 = 2x+5
3x-2x= 5+7
1x= 12
Resposta final: x=12 e so fazer sequindo o exemplo