Answer:
11.5 years
Step-by-step explanation:
The formula for the monthly payment of a loan is:
[tex] A = P\dfrac{r(1 + r)^n}{(1 + r)^n - 1} [/tex]
where
A = monthly payment
r = interest rate per period
n = number of periods
Assuming a monthly payment, we have
P = 17500
r = 0.065/12
The total amount of payments is the monthly payment times the number of payments, so
An = 24893.75
We can try 10 years. n = 10 * 12 = 120
[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{120}}{(1 + \frac{0.065}{12})^{120} - 1} = 198.71 [/tex]
An = 198.71 * 120 = 23845.08
The total amount of payments is too low.
Let's try 11 years.
n = 11 * 12 = 132
[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{132}}{(1 + \frac{0.065}{12})^{132} - 1} = 185.92 [/tex]
An = 185.92 * 132 = 24540.90
The total amount of payments is still too low.
Let's try 12 years.
n = 12 * 12 = 144
[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{144}}{(1 + \frac{0.065}{12})^{144} - 1} = 175.34 [/tex]
An = 185.92 * 144 = 25248.41
The total amount of payments is too high.
11 years is too little, and 12 years is too much.
Let's try 11.5 years.
n = 11.5 * 12 = 138
[tex] A = 17500\dfrac{\frac{0.065}{12}(1 + \frac{0.065}{12})^{138}}{(1 + \frac{0.065}{12})^{138} - 1} = 180.39 [/tex]
An = 180.39 * 138 = 24893.20
11.5 gives a total of payments of $24,893.20 which is very close to $23.893.75.
Answer: 11.5 years
The total amount of payments is too high.
What will be the coordinates of B?
A: 2,3
B: 2,1
C: 2,0
D: 0,2
Answer:
C
Step-by-step explanation:
Since the reflection line is at y=1 then B is only one y value above that line. Therefore, B prime should be one y value below that line.
Use the figure to find the measures of the numbered angles. Then, explain how you determined each of the numbered angle measures.
Answer:
see below
Step-by-step explanation:
∠1 = 61°
∠2 = 119°
∠3 = 61°
∠4 = 119°
∠5 = 119°
∠6 = 61°
∠7 = 119°
-------------------------------
∠1 = 61° = as given
∠2 = 119° = ( 180 - 61 ) = 119°
∠3 ≅ ∠1 opposite angles are equal (congruent)
∠4 ≅ ∠2 opposite angles are equal (congruent)
∠5 ≅ ∠2 or parallel
∠6 ≅ ∠3 ≅ ∠1
∠7 ≅ ∠5
What are the answers to the "Writing linear equations puzzle"? Plz help!
Step-by-step explanation:
Can you put a picture or give more information?
The annual growth of Noah's worm collection is represented by the table. What does f(x) = 4 represent? x 0 2 4 f(x) 4 16 64 The number of new worms each year The number of worms Noah started with The common ratio of worm growth The average rate of change of worm growth each year
Answer:
The number of worms Noah started with
:)
took the test
Answer:
The number of worms Noah started with
Step-by-step explanation:
how many minutes are in 2 days using factor labeling SHOW WORK USING FACTOR LABELING
Answer:
Donald
Step-by-step explanation:
Trump
Answer:
See below
Step-by-step explanation:
[tex]\left(\dfrac{60 \text{ min}}{1 \text{ h}} \cdot \dfrac{24 \text{ h}}{1 \text{ day}} \right) = \left(\dfrac{1440 \text{ min}}{1 \text{ day}} \right)[/tex]
[tex]\therefore 2880 \text{ minutes in 2 days}[/tex]
Somebody plz plz help ASAP !!!
Answer:
6[tex]m^{2}[/tex] + 6m -9[tex]m^{2}[/tex]
=> (6[tex]m^{2}[/tex] - 9[tex]m^{2}[/tex]) + 6m
=> -3[tex]m^{2}[/tex] + 6m
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
URGENT PLEASE HELP!!! WILL GIVE 20 POINTS
Read this excerpt from Infinite Jest.
'I could, if you'd let me, talk and talk. Let's talk about anything. I believe the influence of Kierkegaard on Camus is
underestimated. I believe Dennis Gabor may very well have been the Antichrist. I believe Hobbes is just
Rousseau in a dark mirror. I believe, with Hegel, that transcendence is absorption. I could interface you guys
right under the table,'I say. “I'm not just a creâtus, manufactured, conditioned, bred for a function.'
What assumption does the narrator make in this excerpt?
that the people he is addressing enjoy long conversations
O that the people he is addressing appreciate intellectualism
that the people he is addressing have researched philosophy
that the people he is addressing expect a confrontation
Answer: that the people he is addressing appreciate intellectualism
Step-by-step explanation: found it on quizlet
Answer:
That the people he is addressing have researched philosophy
Step-by-step explanation:
i said so
Sarah’s parents are concerned that she seems short for her age. Their doctor has the following record of Sarah’s height:
Age: 36,48,51,54,57,60
Height: 82,93,94,98,99,103
Answer:
a) Please find the attached scatter plot
b) Y = 0.85·X + 51.843
c) The intercept = Sarah's height at birth
The slope = Sarah's monthly growth rate
d) Sarah's height in 50 years (600 months) will be 221.198 inches
d) The generality of the population stop growing taller when they reach 216 months old
Step-by-step explanation:
a) Please find attached the scatter plot included here
b) From Microsoft Excel, we have;
N = 6
(ΣX)² = 93636
ΣX = 306
ΣY = 569
ΣXY = 29325
ΣX² = 15966
The equation for the least squares regression line is Y = b·X + a
Where;
[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]
[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]
Substituting the values, gives;
[tex]b = \dfrac{6 \times 29325- 306 \times 569}{6 \times 15966 - 93636} = 0.85[/tex]
[tex]a = \dfrac{569 - 0.85 \times 306}{6} = 51.48\bar 3[/tex]
The equation of the least squares regression line is Y = 0.85·X + 51.843
c) The intercept gives the Sarah's height at birth, while the slope gives the increase in Sarah's height every month
d) In 50 years, which is equivalent to 600 months, we will have;
Y = 0.85 × 600 + 51.843 = 561.843 cm
2.54 cm = 1 inches
Therefore;
561.843 cm = 561.843 cm/2.41 × inches/cm ≈ 221.198 inches (18.43317 feet)
Sarah's height in 50 years (600 months) = 221.198 inches
d) The reason for the impossibly large height is that the generality of the population stop growing taller by 18 years of age which is 216 months.
roger goes shopping and buys an $112 item but has 30% off coupon. if tax is 7%, how much will roger pay altogether?
Step-by-step explanation:
Cost = $112
30% discount coupon on the item he's going to buy
=$112 × 30/100 (or you can write 30%)
=$168/5 ($33.6)
7% tax on the item=$112 × 7/100(or you can write 7%)
= $196/25 ($7.84)
Total amount altogether=$112 - $33.6 - $7.84
=$70.56
not sure for the answer^^
Temperature Suppose there is a 1.9°F drop in temperature for every thousand feet that an airplane
climbs into the sky. If the temperature on the ground is 48.4°F, what will be the temperature when the
plane reaches an altitude of 10,000 ft?
The temperature will be °F. (Type an integer or a decimal.)
Answer:
29.4 °F
Step-by-step explanation:
There are ten thousands in 10,000. (Amazing, eh?) So, the temperature will drop by 10 × 1.9 °F = 19 °F.
A drop of 19 °F from 48.4 °F is ...
48.4 -19 = 29.4
The temperature at 10,000 ft will be 29.4 °F.
Somebody please help ASAP !!!
Joe rode his bike 750 meters in three minutes. What was Joe’s average speed?
Answer:
250 Meters per Minute
Step-by-step explanation:
Its simple, Divide 750 Meters by the 3 minutes he took
Answer:
It would be 250 meters per minute and/or 4.1666etc meters per second
Step-by-step explanation:
Using the Segment Addition Postulate, find the value of m.
AB = 4m - 15
BC = 5m - 6
AC = 15
Group of answer choices
36
4
15
9
Answer:
36
Step-by-step explanation:
AB + BC = AC
4m - 15 + 5m - 6 = 15
m - 21 = 15
m = 36
The caffeine content of 8-ounce cans of a certain cola drink is approximately normally distributed with mean 33 milliogram. A randomly selected 8-ounce can containing 35mg of caffeine is 1.2 standard deviations above the mean. Approximately what percent of 8-ounce cans of the cola have a caffeine content greater than 35mg?
Answer:
12%
Step-by-step explanation:
Step 1
We find the standard deviation
A randomly selected 8-ounce can containing 35mg of caffeine is 1.2 standard deviations above the mean.
Mean = 33mg
35 = Mean - 1.2(standard deviation)
35 = 33 + 1.2(standard deviation)
35 - 33 = 1.2(standard deviation)
2 = 1.2(standard deviation)
Standard deviation = 2/1.2
= 1.6666666667
= 1.67
Therefore, the standard deviation is 1.67
Step 2
Using the z score formula
Z score = x - μ/σ
x = 35mg
μ = mean = 33mg
σ= standard deviation = 1.67
= 35 - 33/1.67
= 1.1976
Probabilty value from Z-Table:
P(x<35) = 0.88446
P(x>35) = 1 - P(x<35)
= 1 - 0.88446
= 0.11554
Converting to percentage = 0.11554 × 100
= 11.554%
≈ 12%
Therefore, the percent of 8-ounce cans of the cola having a caffeine content greater than 35mg is approximately 12%
Using the normal distribution, it is found that 11.5% of 8-ounce cans of the cola have a caffeine content greater than 35mg.
In a normal distribution 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]
It 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, which is the percentile of X.In this problem, a randomly selected 8-ounce can containing 35mg of caffeine is 1.2 standard deviations above the mean, which means that the z-score is Z = 1.2.
The percent of 8-ounce cans of the cola have a caffeine content greater than 35mg is 1 subtracted by the p-value of Z = 1.2, so:
Looking at the z-table, Z = 1.2 has a p-value of 0.885.
1 - 0.885 = 0.115
11.5% of 8-ounce cans of the cola have a caffeine content greater than 35mg.
A similar problem is given at https://brainly.com/question/24663213
x^3*x^4=x^12 whats the answerrr
Answer:
I hope it helps it was the best I can do.
Step-by-step explanation:
-x12 + x7 = 0
Factorization:
−x7(x − 1)(x4 + x3 + x2 + x + 1) = 0
Solutions based on Jenkins–Traub algorithm:
x1 = … = x7 = 0
x8 = 1
x9 = −0.809017 − 0.587785i
x10 = −0.809017 + 0.587785i
x11 = 0.309017 − 0.951057i
x12 = 0.309017 + 0.951057i
Help plsss............
Answer:
The answer would be $50.
Step-by-step explanation:
$5 per session
They come 10 times
$5 x 10 = $50
What is the measure of _RVE?
2
60 1.750
V
PS
R
A. 30°
B. 75°
C. 60°
D. 45°
Answer:
D. 45
Step-by-step explanation:
All angles have to = 180°
60 + 75 + <RVE = 180°
135 + RVE = 180°
180 - 135 = 45° RVE
RVE = 45°
Another way to check your answer:
Add all of the angles, and it should equal 180°
60 + 75 + 45 = 180°
Correct!
EMERGENCY please help thank you !!!!
Answer:
last one
Step-by-step explanation:
Answer:
the answer here would be the last one
Step-by-step explanation:
cause intgetables it goes up by six on each one
What will the expression below simplify to after combining like terms? *
4 + 6x + 3 + 4x
How can you express 2 2/10 as a fraction?
Answer:
22/10
Step-by-step explanation:
Answer:
22/10
Step-by-step explanation:
this is the improper fraction
Find the domain and range of the function
The length of a rectangular field is twice its breadth. If the perimeter of the field is 150m . Find the dimensions of the rectangle.
Answer:
length=50m
width=25m
Step-by-step explanation:
perimeter is the distance all round,hence
2(l+w)=2(2x+x)=
4x+2x=6x=150
6x=150x
x=25
l=50m
w=25m
Solve: 4x(x - 3)(x + 5)(2x - 7) = 0
Answer: 8x⁴ - 12x³ - 176x² + 420x
Step-by-step explanation:
First multiply 4x by (x - 3) which = 4x² - 12x. Next multiply (4x² - 12x) by (x + 5) which = 4x³ + 8x² - 60x. Multilying our new trinomial with the next binomial: (4x³ + 8x² - 60x)(2x - 7) = 8x⁴ + 16x³ - 120x² - 28x³ - 56x² + 420x. Combining like terms: 8x⁴ - 12x³ - 176x² + 420x. Notice that when you reduce and factor, you will end up with the starting binomials meaning this solution is correct.
— (x + 2) = 5x + 3x – 11
Answer:
The result can be shown in multiple forms.
Exact Form:
x
=
±
2
√
3
−
1
Decimal Form:
x
=
2.46410161
…
,
−
4.46410161
…
Step-by-step explanation:
8. Write the equation that represents the relationship "1 less than a number is 5”? 9. The quotient of n and 2 is 8. What is the value of n?
Answer:
8. x-1=5
9. x/2=8
Step-by-step explanation:
x is the unknown number
less means subtract
quotient means divide
B is the midpoint of AC. AB = 2x + 12 and AC = 10x - 12.
Find the following:
x:
AB:
BC:
AC:
Answer:
Step-by-step explanation:
If B is the midpoint of AC, then AB = BC and AB+BC = AC
AB +AB = AC
2AB = AC
2(2x+12) = 10x-12
4x+24 = 10x-12
collect like terms:
4x-10x = -12-24
-6x = -36
x = -36/-6
x = 6
Get AB:
AB = 2x+12
AB = 2(6)+12
AB = 12+12
AB = 24
Since AB = BC, hence BC = 24
AC = AB+BC
AC = 24+24
AC = 48
(a) Use technology to find the equation and coefficient of determination for each type of regression
model. Use the number of returning players for the input variable and the number of games won for
the output variable. Round all decimal values to three places.
Answer:
Step-by-step explanation:
linear (equation) Y+1.8854+7.8750 ; Coefficient: 0.9764
Quadratic: y=1.089x^2+0.7981x+9.7331 ; coefficent: 0.9918
Exponetial: y=9.4348 x 1.1180 ; coeffient"0.9920
Exponential is the best model
what is the length of RS
Answer needed ASAP
Answer:
For sure 34
Step-by-step explanation:
the red lines are the same length to each letter just add those.
help plzzzzzzzzzz!!!!!!!!! I have literally less than 5 minutes!!!!! hurry I don't understand and need help!!!!
There are 4826 fans waiting on a bus to take them to a stadium. If one bus can hold 67 fans, how many buses are needed to get all 4826 fans to the stadium?????????????
Answer: 72 buses
Step-by-step explanation:
4,826/67=72
brayden is blocking off several rooms in a hotel for guests coming to his weeding the hotsl can reserve small rooms that can room two people and large rooms that can room four people how many wedding guests could stay in the hotel if brayden reserved 14 small rooms and 12 large rooms how many guests could stay in the hotel if brsyden booked s small sooms and l large rooms
Answer:
76; 20
Step-by-step explanation:
s = small room = 2
l = large room = 4
14s + 12l = 28 + 48 = 76
as I said before s = 2 and l = 4
s*s + l*l = 2*2 + 4*4 = 4 + 16 = 20
Answer:
14 small rooms and 12 large rooms: 76
"s" small rooms and "l" large rooms: 20
Step-by-step explanation:
14 small rooms and 12 large rooms:
2(14)+4(12)
28+48=
76
s small rooms and l large rooms:
2s+4l