Jerry's monthly payment can be calculated using the formula for the monthly payment on a loan. Plugging in the given values will give the exact monthly payment amount.
Explanation:To calculate Jerry's monthly payment, we can use the formula for the monthly payment on a loan:
Monthly Payment = P × r × (1 + r)^(n) / ((1 + r)^(n) - 1)
Where:
P is the principal amount borrowed, which is $9,000r is the monthly interest rate, which is calculated by dividing the annual interest rate by 12 and converting it to a decimal. In this case, it would be 9.5% / 12 = 0.0079 (rounded to four decimal places)n is the total number of payments, which is 2 years × 12 months = 24 monthsPlugging in the values:
Monthly Payment = $9,000 × 0.0079 × (1 + 0.0079)^(24) / ((1 + 0.0079)^(24) - 1)
Simplifying this equation will give us the monthly payment amount.
Elizabeth has two gardens in her yard. The first garden is 8 feet long and 6 feet wide. The second garden is half the length of the first garden. the area of the second garden is twice the area of the first garden. What is the area of the second garden?
Answer:
the answer is B: 128 divided by 8 equals 16
Step-by-step explanation:I know this becasue to check ur answer after doing multiplication you must do division
multiplication-->division
division-->multiplication
subtraction-->addition
addition-->subtraction
Suppose the ages of cars driven by employees at a company are normally distributed with a mean of 8 years and a standard deviation of 3.2 years. What is the z score of a car that is 6 years old?
Answer:
z=(6-8)/3.2=(-2)/3.2=-0.625
Step-by-step explanation:
z=(6-8)/3.2=(-2)/3.2=-0.625
Why is the standard deviation preferable to the range as a measure of variation? select the correct answer below.
a. the standard deviation is preferable to the range as a measure of variation because the standard deviation takes into account all of the observations, whereas the range considers only the largest and smallest ones.
b. the standard deviation is preferable to the range as a measure of variation because the standard deviation is resistant to outliers, whereas the range is not.
c. the standard deviation is preferable to the range as a measure of variation because it is optimal when the median is used as the center of measure.
d. the standard deviation is preferable to the range as a measure of variation because the standard deviation is always smaller than the range?
Answer:
Option a is right.
Step-by-step explanation:
Both standard deviation and range are used as measures of dispersion. These show the deviations of the data within.
While range is maximum -minimum, the std deviation is the square root of variance and variance is the average of the sum of squares of each entry from the mean.
While range depends only on max and min the std deviation depends on each entry of the sample. Hence std deviation is a better measure.
a. the standard deviation is preferable to the range as a measure of variation because the standard deviation takes into account all of the observations, whereas the range considers only the largest and smallest ones.
A rugby player passes the ball 7.75 m across the field, where it is caught at the same height as it left his hand. At what angle was the ball thrown if its initial speed was 12.0 m/s, assuming that the smaller of the two possible angles was used?
The smaller of the two possible angles used is;
θ = 15.92°.
We are given;
Range of pass; R = 7.75 m
Speed; u = 12 m/s
Formula for range is;
R = [u²sin (2θ)]/g
Where; θ is the angle at which the ball was thrown.
Thus;
7.75 = 12² × (sin(2θ))/9.8
(sin(2θ)) = (7.75 × 9.8)/12²
(sin(2θ)) = 0.5274
2θ = sin^(0.5274)
2θ = 31.83
θ = 31.83/2
θ = 15.92°
Now, if we assume that this angle is to the vertical, it means the angle to the horizontal is;
90 - 15.92 = 74.08°
In conclusion, the two possible angles are 15.92° and 74.08°.
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If f(x) = 3 – 2x and 1/x+5, what is the value of (f/g)(8)? –169 –1 13 104
The value of (f/g)(8) is -169 if the f(x) = 3 – 2x and g(x) = 1/(x+5) option (A) -169 is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have functions:
f(x) = 3 – 2x and
g(x) = 1/(x+5)
To find the value of (f/g)(8):
First, find the value of f(x) at x = 8
Plug x = 8 in the function f(x)
f(8) = 3 - 2(8)
f(8) = 3 - 16
f(8) = -13
Now plug the x = 8 in the function g(x)
g(8) = 1/(8 + 5)
g(8) = 1/13
(f/g)(8) = f(8)/g(8)
(f/g)(8) = -13/(1/13)
(f/g)(8) = -169
Thus, the value of (f/g)(8) is -169 if the f(x) = 3 – 2x and g(x) = 1/(x+5) option (A) -169 is correct.
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Evaluate e−12fe-\dfrac12f e− 2 1 f e, minus, start fraction, 1, divided by, 2, end fraction, f when e=15e=15 e=15 e, equals, 15 and f=2f=2 f=2 f, equals, 2 .
Answer:
the answer is 14
Step-by-step explanation:
If the value of e is 15 and f is 2. Then the value of the expression [e - (1/2)f] will be 14.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The expression is given below.
⇒ e - (1/2)f
If the value of e is 15 and f is 2.
Then the value of the expression will be
⇒ e - (1/2)f
⇒ 15 - (1/2) x 2
⇒ 15 - 1
⇒ 14
Thus, the value of the expression will be 14.
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10. Does the table represent an exponential function? Explain why or why not.
x 1 2 3 4
y 2 8 32 128
I REALLY NEED HWLP WITH THIS
A bike rental company rented out 6 bikes in its first month. The number of bikes it rented tripled each month.
What was the total number of bikes the company rented out for the first 6 months?
Answer:
Step-by-step explanation:
Determine if x + 2 is a factor of p(x) = x ^4 + 3x^ 3 + 4x ^2 - 8 and explain why.
Answer:
(x+2) is a factor of P(x)
Step-by-step explanation:
Determine if x + 2 is a factor of p(x) = x ^4 + 3x^ 3 + 4x ^2 - 8
[tex]p(x) = x ^4 + 3x^ 3 + 4x ^2 - 8[/tex]
To determine (x+2) is a factor , we set x+2=0 and solve for x
[tex]x+2=0 , x=-2[/tex]
then we replace x with -2 in p(x)
[tex]p(x) = x^4 + 3x^ 3 + 4x ^2 - 8[/tex]
[tex]p(-2) = (-2)^4 + 3(-2)^ 3 + 4(-2)^2 - 8[/tex]
[tex]p(-2) = 16-24+16- 8=0[/tex]
WE got p(-2)=0 , so (x+2) is a factor of P(x)
Harrison plays a game in which he uses a net to catch balls that are randomly launched from holes in the ground. The height of one ball after t seconds is represented by the function f(t) = –After how many seconds does the ball return to the ground? Round to the hundredths place as needed.16t2 + 20t.
Describe the translation in the figure from A to A’
Answer:
d
Step-by-step explanation:
Write a pair of parametric equations for an object moving along the unit circle
Pre-calculus Help Please! Express the complex number in trigonometric form.
3
A. 3(cos 0° + i sin 0°)
B. 3(cos 90° + i sin 90°)
C. 3(cos 180° + i sin 180°)
D. 3(cos 270° + i sin 270°)
A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between the landmarks in degrees.
What is the distance, x, between the two landmarks? Round the answer to the nearest tenth.
Answer:
It is D. 98.5
Step-by-step explanation:
Got it right on edge
Are lines of symmetry for any given polygon also diagonal?
Which sequence is geometric and has 1/4 as it’s fifth term and 1/2 as common ratio is it A)...,1,1/2,1/4,1/8,...
B)...,1/4,1/2,1,2,...
C)...,1/72,1/36,1/18,1,9,
D)...,8,4,2,1,...
Answer:
Option A - [tex]......,1,\frac{1}{2},\frac{1}{4},\frac{1}{8}...[/tex]
Step-by-step explanation:
Given : A geometric has [tex]\frac{1}{4}[/tex] as its's fifth term and [tex]\frac{1}{2}[/tex] as common ratio.
To find : Which sequence is geometric ?
Solution :
The geometric sequence is defined as [tex]a,ar,ar^2,ar^3...[/tex]
where, a is the first term and r is the common ratio.
The nth term of the sequence is [tex]a_n=ar^{n-1}[/tex]
We have given, [tex]r=\frac{1}{2}[/tex] and [tex]a_5=\frac{1}{4}[/tex]
The 5'th term is
[tex]a_5=ar^{5-1}[/tex]
[tex]\frac{1}{4}=a(\frac{1}{2})^{4}[/tex]
[tex]\frac{1}{4}=a(\frac{1}{16})[/tex]
[tex]\frac{16}{4}=a[/tex]
[tex]a=4[/tex]
The sequence form is [tex]4,4(\frac{1}{2}),4(\frac{1}{2})^2,4(\frac{1}{2})^3,4(\frac{1}{2})^4,4(\frac{1}{2})^5...[/tex]
[tex]4,2,1,\frac{1}{2},\frac{1}{4},\frac{1}{8}...[/tex]
From the given sequence Option A matched with result.
Therefore, Option A is correct.
Please help!! I’ll mark you as brainliest
Two trains left the station traveling in opposite directions. The distance Train A traveled is modeled by the function d(t)=81t where d represents distance in miles and t represents time in hours.
Train B traveled a total of 324 miles in 4 hours.
How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?
The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.
The distance Train A traveled in 1 h is greater than the distance Train B traveled in 1 h.
The distance Train A traveled in 1 h is less than the distance Train B traveled in 1 h.
Answer:
Option A - The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.
Step-by-step explanation:
Given : The distance Train A traveled is modeled by the function [tex]d(t)=81t[/tex]
where d represents distance in miles and t represents time in hours.
To find : How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?
Solution :
Distance traveled by Train A in 1 hour is
[tex]d(t)=81t[/tex]
[tex]d(t)=81(1)=81[/tex]
Distance traveled by Train B in 1 hour is
[tex]d(t)=81t[/tex]
[tex]d(t)=81(1)=81[/tex]
or for B, we have 324 miles in 4 hours. If that is at a constant speed, it travels 324/4 = 81 miles in one hour
Therefore, The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.
Hence, Option A is correct.
Answer:
The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.
Step-by-step explanation:
Jane bought 10 pears and 11 oranges for $10.05 the total cost of one pear and one orange was $0.94 how much did 1 pear and 1 orange cost
Please Send Help
The cost of one pear and one orange is $0.94.
Explanation:To find the cost of one pear and one orange, we need to set up an equation. Let's let x be the cost of one pear and y be the cost of one orange. We can set up two equations based on the given information:
10x + 11y = 10.05 (equation 1)x + y = 0.94 (equation 2)We can solve this system of equations by substitution or elimination. Let's use the substitution method. From equation 2, solve for x in terms of y:
x = 0.94 - y
Substitute this expression for x into equation 1:
10(0.94 - y) + 11y = 10.05
Distribute and simplify:
9.4 - 10y + 11y = 10.05
Combine like terms:
9.4 + y = 10.05
Subtract 9.4 from both sides:
y = 10.05 - 9.4
y = 0.65
Now substitute the value of y back into equation 2 to find x:
x + 0.65 = 0.94
Subtract 0.65 from both sides:
x = 0.94 - 0.65
x = 0.29
Therefore, the cost of one pear and one orange is $0.29 + $0.65 = $0.94.
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Find the missing value to the nearest hundredth cos___= 7/18
The missing value to the nearest hundredth using inverse trigonometric function is 67.11°
Let us say
Cos x = 7/18
x will be the inverse of cosine of (7/18)
What is an inverse trigonometric function?The inverse trigonometric functions are the inverse functions of the trigonometric functions and are used to obtain an angle from any of the angle's trigonometric ratios.
x = cos⁻¹ (7/18)
x = 67.11°
Hence, the missing value to the nearest hundredth is 67.11°.
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“Lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?”
To solve the problem we will first name all the points given to us, and then we will find ∠O, and then we will find the value of x.
The value of x is 22°.
Given to us
∠OAB = 56°
Looking at the diagram below,
In ΔAOB
OA = OB = R, the radius of the circle O,
therefore, the ΔAOB is an isosceles triangle, with OA, OB as the congruent sides and AB as the base of the triangle.
Thus, ∠OAB = ∠OBA = 56°
What is the sum of all the angles of a triangle?Sum of all the angles of a triangle = 180°
∠O + ∠AOB + ∠OBA = 180°
We know ∠AOB = ∠OBA, therefore,
∠O + 2(∠AOB) = 180°
∠O + 2(56°) = 180°
∠O = 68°,
In ΔOBC,
BC is the tangent to the circle O, therefore,
∠OBC = 90°
Sum of all the angles of a triangle = 180°
∠O + ∠OBC + ∠OCB = 180°
68° + 90° + ∠OCB = 180°
∠OCB = 180° - 68° - 90°
∠OCB = 22°
Hence, the value of x is 22°.
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Check my answer?
Given the proportion a/b = 8/15, which ratio completes the equivalent proportion a/8 = ?
My answer: 15/b
@KirbyLegs
Kendra watched two movies. The first lasted 100 min. the second lasted 1 hour, 55 min. Which movie was longer? By how many min.?
What is the value of p?
A. 45
B. 35
C. 55
D. 125
wouldn’t it be 35?
Answer:
35
Step-by-step explanation:
(sorry for bad image. I use OperaGX)
Question 8 (06.02 LC)
Which statement best describes the expression 2y ÷ 7?
A. 2 times y divided by 7
B. 7 divided by 2 times y
C. 7 times y divided by 2
D. 2 divided by 7 times y
Question 9 (06.06 LC)
Which algebraic property is used to rewrite 2(x + 3) as 2x + 6?
A. Distributive property
B. Associative property
C. Commutative property of addition
D. Commutative property of multiplication
Question 10 (06.02 LC)
Which of these is the algebraic expression for "5 times the sum of 2 and y?"
A. 5 ⋅ 2 + y
B. 2 + 5 ⋅ y
C. 2(5 + y)
D. 5(2 + y)
Answer:
A
Step-by-step explanation:
What is the mode for the following set of data?
5, 7, 9, 11, 13, 13
8
9.7
10
13
please please help me
For which intervals is the function positive?
Select each correct answer.
(−6, −2)
[−8, −6)
(4, 8]
(−2, 4)
Positive is when the lines are above the X axis
in this graph it is positive from [−8, −6) and (−2, 4)
The function is positive in intervals [tex]\boldsymbol{[-8,-6),(-2,4)}[/tex]
A function is positive in intervals where the graph lies above the [tex]\boldsymbol{x-}[/tex]axis.
A function is negative in intervals where the graph lies below the [tex]\boldsymbol{x-}[/tex]axis.
In intervals [tex]\boldsymbol{(-6,-2),(4,8]}[/tex], the graph lies below the [tex]\boldsymbol{x-}[/tex] axis.
In intervals [tex]\boldsymbol{[-8,-6),(-2,4)}[/tex], the graph lies above the [tex]\boldsymbol{x-}[/tex] axis.
So, the function is positive in intervals [tex]\boldsymbol{[-8,-6),(-2,4)}[/tex]
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What is the missing reason in Step 8?
Step 8 involves identifying the gap, researching if needed, and crafting a concise reason. Ensure coherence with existing content, verify consistency, and integrate the reason seamlessly. Finally, review for clarity and implement the revised explanation.
Step 8 is to implement a missing reason in a explanation, broken down step by step:
Identify the Gap: Review the existing explanation to pinpoint where a reason is lacking.
Understand the Context: Ensure comprehension of the topic to provide an accurate reason.
Research if Necessary: Gather relevant information to support the reason.
Craft the Explanation: Write a concise statement that fills the gap logically.
Check for Coherence: Ensure the new reason aligns seamlessly with the existing content.
Review for Clarity: Confirm that the explanation is clear and understandable.
Integrate into the Content: Insert the reason into the appropriate section of the explanation.
Verify Consistency: Double-check that the added reason maintains coherence with the overall argument or narrative.
Final Review: Reevaluate the entire explanation to guarantee completeness and accuracy.
Implement and Test: Incorporate the revised explanation and assess its effectiveness.
By following these steps, the missing reason can be seamlessly integrated into the explanation, ensuring clarity and coherence.
what is area
to count the inside of a shape
to count the out side of a shape
none of the above
Area refers to the amount of space inside a shape and is found by counting the inside of the shape. Therefore, the correct answer is option a.
"To count the inside of a shape": This means that when we calculate the area of a shape, we are determining the amount of space or surface area that is enclosed within the boundaries of that shape. In other words, it's the measurement of the total space covered by the shape, and it doesn't include the outer boundary or perimeter.
"To count the outside of a shape" is not an accurate definition for area. The outside of a shape is typically referred to as the perimeter or the circumference, and it represents the measurement of the boundary or the length of the outline of the shape.
"None of the above" is not the correct choice because the area is indeed about measuring the inside of a shape, as explained in the first option.
In summary, when we calculate the area of a shape, we are quantifying the space enclosed within the shape's boundary, not the space on the outside of it.
Therefore, the correct answer is option a.
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