(a) The amount financed is $22,000.
(b) Total amount of monthly payments is $31,500.
(c) Amount of the finance charge is $9,500.
What is Down Payment?Down payment is the amount which has to be paid at the beginning of a transaction while buying a house or a car.
Given that,
Purchase price of the car = $27,000.00
Down payment = $5,000.00
Number of monthly payments = 60
Amount of monthly payment = $525
(a) Amount financed = Purchase price - Down payment
= $27,000.00 - $5,000.00
= $22,000
(b) Total amount of monthly payments = 60 × $525
= $31,500
(c) Amount of the finance charge = $31,500 - $22,000
= $9,500
Hence the amount financed is $22,000.
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A person had a rectangular-shaped garden with sides of lengths 16 feet and 9 feet. The garden was changed into a square design with the same areas as the original rectangular-shaped garden. How many dlfewt in length are each of the sides of the new square-shaped garden?
Answer:
144
Step-by-step explanation:
16x9
The side length of the square garden would be 12 ft.
What is a expression? What is a mathematical equation? What is the volume of a cube and a prism?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. The volume of a cube is - [V] = a x a x a- where [a] is side length of cube.
The volume of a prism is - [V] = [h] × [w] × [L]- where [h] is prism height, [w] is its width, and [L] is its length.
We have a person who had a rectangular-shaped garden with sides of lengths 16 feet and 9 feet.
The garden was changed into a square design with the same area as the original rectangular-shaped garden. Assume the side length to be [x] ft. Then, you can write -
x² = 16 x 9
x² = 144
x = 12
Therefore, the side length of the square garden would be 12 ft.
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What is 12+[2-(4*a2)]÷7+b
Answer:
86 - 4a^2 + 7b over 7
Step-by-step explanation:
pls help asap!!!! and show work if you can!! :)
Answer:
vertex is y=x squared
axis of symmetry is x=-1
parabola= (-2,0) and (-3,2)
Step-by-step explanation:
follow steps
Answer:
As per graph we have
1. Vertex is:
(-1, -1)2. Axis of symmetry is a vertical line that passes through vertex:
x = -13. Roots, the x-intercepts:
(-2, 0), (0, 0)A rectangular field is 24 yards in length and 81 feet in width.
What is the area of the field in square feet?
What is the area of the field in square yards?
Explain whether 13t−3t is equivalent to 3t−13t. Support your answer by evaluating the expressions for t=2.
Answer:
Not equivalentStep-by-step explanation:
13t - 3t = (13 - 3)t = 10t3t - 13t = (3 - 13)t = -10t10t ≠ -10tThey are not equivalent
When t = 2
13t - 3t = 13*2 - 3*2 = 26 - 6 = 203t - 13t = 3*2 - 13*2 = 6 - 26 = -20Answer:
They are not Equivalent.
Step-by-step explanation:
You can tell that they aren't by doing that equations.
13t-3t=10t
3t-13t=-10t
If you were to inert 2 into t's , spot, it still would not work.
13(2)-3(2), 26-6=20
3(2)-13(2), 6-26=-20
all the marbles in a bag for a game two are red and three are blue Sandra will randomly choose one marble from the bag fill in the blank Parts A&B
A: the probability that Sandra would choose a red marble from the break is _ out of _ or ____ it is blank that sounds really choose a red marble from the bag
B: It is ________ that Sandra will choose a red marbLe from the bag
for parts be is it A,B,C,or D
impossible
certain
likely
unlikely
Answer:
i dont know this i will try oh i think it is c i think though
Step-by-step explanation:
i dont know this i will try oh i think it is c i think though
5. What does ARM stand for?
Answer:
Step-by-step explanation: ARM architecture
A credit card company decides to study the frequency with which its cardholders charge for items from a certain change of retail stores. The data values collected in the study appear to be normally distributed with a mean of 25 charged purchases and a standard distribution of 2 charged purchases. Out of the total number of cardholders about hw many would you expect are charging 27 or more in the study
Answer:
15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.
Step-by-step explanation:
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.
Mean of 25 charged purchases and a standard distribution of 2
This means that [tex]\mu = 25, \sigma = 2[/tex]
Proportion above 27
1 subtracted by the pvalue of Z when X = 27. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{27 - 25}{2}[/tex]
[tex]Z = 1[/tex]
[tex]Z = 1[/tex] has a pvalue of 0.8413
1 - 0.8413 = 0.1587
Out of the total number of cardholders about how many would you expect are charging 27 or more in the study?
0.1587*100% = 15.87%
15.87% of the total number of cardholder would be expected to be charging 27 or more in the study.
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
DK
Х
AK
140°
B
>C
Angles are not drawn to scale.
Enter
Answer:
the answer would be 40
Step-by-step explanation:
supplementary angles are 180
180-140=40
x=40
19
Crickets chirp faster when it gets warmer. The number of chirps per minute by crickets (x) is given along
with the surrounding temperature (y):
(10 pts)
#chirps/min 20.0 16.0 19.8 18.4 17.1
Temperature (°F) 88.6
71.6 93.3 84.3 80.6
a)
Find the correlation coefficient, r. Would you say there is a significant linear correlation? Why or
why not?
b)
Give the linear regression equation. Round your numbers to three decimal places,
c)
Use your equation to predict the temperature when a cricket chirps 17 times per minute, or state
that it is inappropriate.
d)
Use your equation to predict the temperature when a cricket chirps 30 times per minute, or state
that it is inappropriate.
e)
Find and interpret the coefficient of determination (r2)
Step-by-step explanation:
Step 1. Enter the data into the lists.
For basic entry of data, see Basic Commands.
cricket1
Step 2. Create a scatter plot of the data.
cricket4
Obviously, there is some scatter to this data. This variability is the norm, rather than the exception when working with biological data sets. Real-life data seldom creates a nice straight line.
Step 3. Choose the Linear Regression Model.
Press STAT, arrow right to CALC, and arrow down to 4: LinReg (ax+b). Hit ENTER. When LinReg appears on the home screen, type the parameters L1, L2, Y1. The Y1 will put the equation into Y= for you.
(Y1 comes from VARS → YVARS, #Function, Y1)
cricket6
cricket7Older OS form.
cricket newNewer OS form.
cricket8
The linear regression equation is
y = 3.41x + 22.85
(answer to part a)
Step 4. Graph the Linear Regression Equation from Y1.
ZOOM #9 ZoomStat to see the graph.
cricket9
(answer to part b)
Step 5. Is this model a "good fit"?
The correlation coefficient, r, is .8320424586 which just barely places the correlation into the "strong" category. (0.8 or greater is a "strong" correlation)
The coefficient of determination, r 2, is .6922946529 which means that 70% of the total variation in y can be explained by the relationship between x and y. The other 30% remains unexplained.
Yes, it is somewhat of a "good fit".
(answer to part c)
a3
Step 6. Extrapolate: (beyond the data set)
If the ground temperature reached 95º, then at what approximate rate would you expect the crickets to be chirping?
Step 7. Interpolate: (within the data set)
With a listening device, you discovered that on a particular morning the crickets were chirping at a rate of 18 chirps per second. What was the approximate ground temperature that morning?
The power equation, type 18, hit ENTER, and the answer will appear at the bottom of the screen.
cricket12
(answer to part e -- the ground
the temperature will be approx. 84.23º F)
Step 8. If the ground temperature should drop to freezing (32º F), what happens to the cricket's chirping?
a4
The TABLE tells us that at 32º F there are 2.68 chirps per second. So, what does this really mean? Are the crickets cold?
These findings are a bit deceiving. At 32º F, the crickets are dead. The lifespan of cricket in a cold climate is very short. The crickets spend the winter as eggs laid in the soil. These eggs hatch in late spring or early summer and tiny immature crickets called nymphs to emerge. Nymphs develop into adults within approximately 90 days. The adults mate and lay eggs in late summer before succumbing to old age or freezing temperatures in the fall.
Scott paid 10.47 for a 6.08 - kg bag of dog food. A few weeks later, he paid 13.88 for a7.48 -kg bag at a different store. Find the unit price for each bag. Then state which bag is the better buy based on the unit price. Round your answers to the nearest cent.
Answer:
Scott paid $ 1.72 per kilo for the first bag, and $ 1.85 per kilo for the second bag, with which the best buy is the first bag.
Step-by-step explanation:
Since Scott paid 10.47 for a 6.08-kg bag of dog food, while a few weeks later, he paid 13.88 for a7.48-kg bag at a different store, to find the unit price for each bag, and then state which bag is the better buy based on the unit price, the following calculation must be performed:
10.47 / 6.08 = X
1.72 = X
13.88 / 7.48 = X
1.85 = X
Thus, Scott paid $ 1.72 per kilo for the first bag, and $ 1.85 per kilo for the second bag, with which the best buy is the first bag.
The diameter of a circle is 86 kilometers. What is the circle's area?
use 3.14 for pi or 22/7
Please help me lol
Answer:
5808.8km
Step-by-step explanation:
Which chocolate chip cookies have the greater spread in the number of chips per cookie?
Regular
or
Reduced Fat
Step-by-step explanation:
18
Answer:
Reduced fat had the greater spread.
Step-by-step explanation:
(ILL MARK YOU AS BRAINLEST) The ratio of the interior angles of a triangle is 1: 1: 4 What are the angles measures? Write the angel measures from least to greatest.
Answer:
30 degrees,30 degrees120, degrees
Step-by-step explanation:
The ratio of the angles is 1:1:4.
Let’s represent the angles by 1x, 1x, and 4x.
The sum of the interior angles of a triangle is 180°.
1x + 1x +4x = 180 Combine like terms.
6 x = 180 Divide each side by 6
x = 30°
1x=1*30=30 degrees
1x=1*30=30 degrees
4x=4*30=120 desgrees
Answer:
30, 30, 120
Step-by-step explanation:
Basic properties of a triangle:
Triangles have 3 sides.The sum of the interior angles of a triangle will always be equal to 180°.The problem:
Find the angle measuresList them in least to greatestGiven information:The ratio of the angles' values are 1:1:4.To solve:
To solve this type of problem, think of the ratio as a variable, x.The ratio would be x:x:4xGiven that revised information, the sum of the interior angles is 6x.Since the sum of the interior angles of a triangle is 180°, 6x = 180°To find x as an individual value, divide both sides of the equation by 6:- 6x = 180- x = 30 Now, to find the angles' values, use the value of x in the ratio to solve:30 : 30 : 120The values of the ratio are your angles!Finally, list from least to greatest and the question is completely answered!Complete the sentence.
20 is 40% of
I’m horrible at math-
Answer:
20 is 40% of 50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
c = 20 * [tex]\frac{100}{40}[/tex] = [tex]\frac{2000}{40}[/tex] = [tex]\frac{50}{1}[/tex] = 50
0.2 MATH PROBLEM HERE!!,,,,,,,,,.
simplfiy 3(4)^2 plzzz
Answer:
48
Step-by-step explanation:
please assist me with these multiple choice problems
9514 1404 393
Answer:
12. C
13. D
Step-by-step explanation:
12. For interest r on principal P compounded n times per year for t years, the account balance is ...
A = P(1 +r/n)^(nt)
For P=800, r=0.05, n=365, t=6, this becomes ...
A = 800(1 +0.05/365)^2190 . . . . matches choice C
Note: if you're familiar with the formula, you will notice choice C is the only one with 'n' in the right place.
__
13. The form of an exponential function is ...
y = a·b^x . . . . . . . . where 'a' is the initial value, and 'b' is the growth factor
The form of the equation eliminates choices A and B.
Here, the initial value is 1.87, eliminating choice C.
Matching the problem statement to the form of the exponential function we see that the equation of choice D is appropriate.
calcula el área de la siguiente figura
Answer:
272.5 m²
Step-by-step explanation:
1/2x4x9=18
(9+18)/2=13.5. 13.5x11=148.5
(18+14)/2=16. 16x7=112
12+148.5+112= 272.5
plzz help me i’ll give brainlest
Answer:
An octagonal prism has 10 faces.
Step-by-step explanation:
Please mark as brainliest!
Key
X
= -X
= 1 = -1
Which equation could represent the model?
Answer:
hey here the link it.ly/3dXyuz8
Aisha recorded the heights, in centimetres, of some girls.
She used her results to work out the information in this table,
Least height
142 cm
Lower quartile
154 cm
Interquartile range
17 cm
Median
162 cm
Range
40 cm
Aisha drew this box plot for the information in the table.
The box plot is not fully correct.
130
140
180
190
150 160 170
Height (centimetres)
Write down the two things Aisha should do to make the box plot fully correct.
Answer:
The median is marked at 161cm instead of 162cm.
The right part of the box (the upper quartile) is marked at 172cm, while the interquartile range is 17cm, so the upper quartile should be at 154cm + 17cm = 171cm.
Median and higher quartile are the two changes that Aisha should do to make the box plot fully correct.
What is box plot?Box plot is a type of chart often used in explanatory data analysis. A graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.
For the given situation,
Least height - 142 cm
Lower quartile - 154 cm
Inter quartile range - 17 cm
Median - 162 cm
Range - 40 cm
The higher quartile can be calculated as
Higher quartile = Lower quartile + Inter quartile range
⇒ Higher quartile = [tex]154+17[/tex]
⇒ Higher quartile = [tex]171[/tex]
From the box plot shown, the values of median and higher quartile are drawn wrong.
In diagram,
The median is at 161 but it should be drawn in 162.The higher quartile is at 172 but it should be drawn in 171.Hence we can conclude that median and higher quartile are the two changes that Aisha should do to make the box plot fully correct.
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I really need help it’s due by 12:00
Answer:
what do you do
Step-by-step explanation:
Complete the statements to find the limit. lim x→3 x2 + 2x − 3 x2 + 4x − 5 = The numerator can be factored as . The denominator can be factored as . The common factor of can be divided out of the numerator and denominator. The limit is .
ANSWERS:
1. C
2. D
3. B
4. A
Your choices are all correct.
Numerator: x ² + 2x - 3 = (x + 3) (x - 1)
Denominator: x ² + 4x - 5 = (x + 5) (x - 1)
Common factor: x - 1
Then
lim [x → 3] (x ² + 2x - 3) / (x ² + 4x - 5)
= lim [x → 3] (x + 3) / (x + 5)
= (3 + 3) / (3 + 5)
= 6/8 = 3/4
Answer:
ANSWERS:
1. C
2. D
3. B
4. A
Step-by-step explanation:
Please i need help with this
Answer:
B.
Step-by-step explanation:
You buy ricotta cheese in 5 lb containers. One batch of cheese ravioli requires 0.2 ounces of ricotta cheese. How many batches can be made with one container? Round down (don't include partial batches).
Answer:
3
Step-by-step explanation:
16 oz= 1 lb
16 oz x 5lbs = 80 oz
80 oz/ 24 oz= 3.33333333
Answer=3 when rounded down
PLEASE HELP!!! WILL MARK BRAINLIEST PLUS EXTRA POINTS
To complete an observation the healthcare worker needs to think about the target of the observation To complete an observation, the healthcare worker needs to think about...
A) the target of the observation, such as the patient.
B) the nature of the observation or the focus, which can be a behavioral observation or an analysis of the information gathered.
C) the aim of the observation, such as the workup.
D) the focus of the observation, such as the patient's condition.
E) the focal point of the observation, such as the patient's previous medical records.
CHECK ALL THAT APPLY
Answer:
1,2, and 4
Step-by-step explanation:
which is the correct graph and solution for the following system of equations y=2x+3 y=-x-6
Answer:
last graph
Step-by-step explanation:
HELP PLEASEE no links
Select all the shapes that do not have perpendicular sides.
A. Square
B. Equilateral triangle
C. Rectangle
D. Right triangle
E. Acute triangle
Answer:
B) equilateral triangle
E) acute triangle
Step-by-step explanation:
would anoyone be willing to help
Sure, what do you need help with?
