gwen borrows $300 from her parents to buy a bike she agrees to pay them back plus 3% intrest over year write an equation to represent the total amount she owes her parents? what is the total amount she will owe her parents?
Answers
Gwen will owe her parents a total of $309.
To represent the total amount Gwen owes her parents after borrowing $300 with 3% interest over a year, we can use the formula for simple interest:
[tex]\[ \text{Total amount} = \text{Principal} + \text{Interest} \][/tex]
Given:
Principal (P) = $300
Interest rate (r) = 3% or 0.03 (as a decimal)
Time (t) = 1 year
Now, plug the values into the formula:
[tex]\[ \text{Interest} = P \times r \times t \][/tex]
[tex]\[ \text{Interest} = 300 \times 0.03 \times 1 \][/tex]
[tex]\[ \text{Interest} = 9 \][/tex]
Now, add the interest to the principal to get the total amount:
[tex]\[ \text{Total amount} = 300 + 9 \][/tex]
[tex]\[ \text{Total amount} = \$309 \][/tex]
So, the equation to represent the total amount Gwen owes her parents is:
[tex]\[ \text{Total amount} = 300 + 300 \times 0.03 \times 1 \][/tex]
[tex]\[ \text{Total amount} = 300 + 9 \][/tex]
[tex]\[ \text{Total amount} = \$309 \][/tex]
Therefore, Gwen will owe her parents a total of $309.
Related Questions
y=-3/8x-7 in standard form
Answers
3/8x + y = -7 ...multiply both sides by 8
3x + 8y = - 56 <==
To convert the slope-intercept form equation y = -3/8x - 7 into standard form, mulitply by 8 to remove the fraction, then rearrange to form 3x + 8y = -56, making sure the 'A' coefficient is positive.
The student's question asks about rewriting the slope-intercept form equation y = -3/8x - 7 into standard form. To do so, we need to rearrange the equation so that all variables and constants are on one side and the equation is set equal to zero. In standard form, the equation should be written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.
Let's convert the given equation to standard form step by step:
Multiply both sides of the equation by 8 to clear the fraction: 8y = -3x - 56.
Move the 'x' term to the left side by adding 3x to both sides: 3x + 8y = -56.The equation now is in standard form; however, typically, we want A to be positive. Since our A is already positive, we are done.The final standard form of the given equation is 3x + 8y = -56.
A baseball used in major league games weighs at least 5 oz and not more than 5.25 oz.About what is that range measured in grams?Explain your reasoning.
Answers
A fair die will be rolled 11 times. what is the probability that 1, 2, or 3 is rolled exactly 4 times? round your answer to four decimal places.
Answers
The probability of a 1, 2, or 3 is 3/6 = 1/2. There are C(11,4) = 11!/(4!(11-4)!) = 330 ways the desired outcome can show up in the 11 rolls. The probability is
... 330×(1/2)⁴(1/2)⁷ = 330/2048 ≈ 0.1611
In a standard normal curve, what percentile corresponds to a z score of 1.0?
Answers
Given quadrilateral XYWZ determine whether WX and YZ are parallel, perpendicular, or niether. W(0,-3), X(-1,5), Y(2,5), Z(-1,2)
Answers
The slope of a line connecting two points is just the change in y over change in x.
WX
m = (-3 - 5)/(0 - -1)
m = -8/1
m = -8
YZ
m = (5 - 2)/(2- -1)
m = 3/3
m = 1
The sides are neither parallel or perpendicular.
Question 26(multiple choice worth 1 points) (02.02) simplify . −4 4
Answers
Solve the equation.
-3(y - 5) = 24
y = ______?
Answers
The value of Equation is y = -3.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have Equation,
-3(y-5) = 24
Now, solving for y
Divide both side by (-3) we get
-3(y-5) / (-30= 24/ (-3)
y-5 = -8
Add 5 to both side
y- 5 +5 = -8 + 5
y = -3
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how would a weather reporter say 0.103 meters of snow
Answers
zero point one-zero-three meters of snow,
zero point one oh three meters of snow
point one hundred three meters of snow, etc.
I'm not exactly sure what you are looking for, so hopefully one of these works :)
(I personally haven't ever heard a weather reporter say this, as I live in a place without snow. pick the one you think is closest to something they'd say XD)
How many integers between 14 and 3,452 can be divided by 42 with a remainder of zero?
Answers
42 I 3,452
82 with a remainder
There are 82 integers between 14 and 2452 that can be divided with a remainder of 0
Listed below are four different cases in which a comparison of means was conducted. match the case to the appropriate set of equations needed to compare the means.
Answers
The cases can be categorized by comparing the means as follows: 'B. Two proportions' apply to situations like income bracket and voter likelihood comparison, 'C. Matched pairs, dependent groups' apply to dependent groups like a math test given to third graders, 'D. exclusive groups' represent separate unaffected and experimental groups, and 'A. Two independent means, normal distribution' refers to situations where two separate groups are compared.
Explanation:From the details given, we can classify the cases by comparing the means as follows:
B. Two proportions: This would apply to the question of politicians comparing the proportion of individuals from different income brackets who might vote for them. It implies two independent groups and hence a comparison of two population proportions. C. Matched pairs, dependent groups: This could describe a scenario like a math exam given to the third-grade children attending ABC school. Two random samples of scores were taken. This represents a dependent groups design in which two means are compared, for instance before and after a treatment. D. exclusive groups: These likely represent two independent means involving separate unaffected (control) groups and experimental groups. An example of this is studies that compare various diet and exercise programs. A. Two independent means, normal distribution: This refers to a situation where two separate groups are compared, such as studies involving independent samples where the sample values selected from one population are not related in any way to the sample values selected from the other population. Learn more about Comparison of Means here:
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Suppose that in a particular sample, the mean is 70.07 and the standard deviation is 10.27. what is the z score that corresponds to a raw score of 80?
Answers
A direct variation function contains the points (2, 14) and (4, 28). Which equation represents the function?
Answers
Both of the given two points give a slope of (y/x)=14/2=28/4=7, so the equation of the function is
y/x=7, or simply
y=7x
What's the correct name for the polygon below?

A. Octagon B. Nonagon C. Pentagon D. Heptagon
Answers
Find the equation, (f(x) = a(x-h)2+ k), for a parabola containing point (-1,0) and having (-3, 4) as a vertex. What is the standard form of the equation?
Answers
If (-3,4) is the vertex, then the above equation becomes f(x) = a(x-[-3])^2 + 4, or
f(x) = a(x+3)^2 + 4. We are told that the graph passes through (-1,0), so must now substitute those coordinates into the above equation:
f(-1) = a([-1]+3)^2 + 4 = 0 (0 is the value of f when x is -1)
Then we have a(2)^2 + 4 =0, or 4a + 4 = 0. Thus, a = -1.
The equation of this parabola is now f(x) = -(x+3)^2 + 4.
Write it in "standard form:" f(x) = -(x^2 + 6x + 9) + 4, or
f(x) = -x^2 - 6x - 9 + 4, or
answer => f(x) = -x^2 - 6x - 5 = ax^2 + bx + c
Thus, a=-1, b=-6 and c= -5.
Answer:
D.The vertex form is f(x) = −(x +3)^2 + 4. The standard form is f(x) = −x2−6x−5.
Step-by-step explanation:
usatestprep
The point (2, -3) lies in quadrant I II III IV
Answers
*If possible, please give me brainliest*
1st quadrant (+ , +)
2nd ( - , + )
3rd ( - , - )
4th ( + , -)
....
just think u are in the centre and if u go right thats + and if u go up that is also + ... if u go downward and left thats - ....
We go first in x-axis so
For the 1st quadrant to obtain u should go right and up from centre so (+ , + )
And for 4th quadrant u should go right ( 1st x-axis) and then down so (+ and -)
Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution. (3 points)
Equation #1
|2x - 3| = -17
Equation #2
|5x + 3| = 12
a-Equation #1 and Equation #2 have the same number of solutions.
b-Equation #1 has more solutions than equation #2.
c-Equation #1 has fewer solutions than equation #2.
d-None of the statements above describe the number of solutions to equations shown.
Answers
|2x - 3| = 17
The first solution is
2x - 3 = 17
2x = 17 + 3 = 20
x = 10
The second solution is
3 - 2x = 17
-2x = 17 - 3 = 14
x = -7
The solutions are x = 10 or x = -7.
Equation #2:
|5x + 3| = 12
The only solution is
5x + 3 = 12
5x = 12 - 3 = 9
x = 9/5
Let us examine the given answers.
a. Equation #1 and #2 have the same number of solutions.
FALSE
b. Equation @1 has more solutions than Equation #2.
TRUE
c. Equation #1 has fewer solutions than equation #2.
FALSE
d. None of the statements a,b, or c apply.
FALSE
Answer: b.
Using mental math, the approximate tip to leave for a bill of $81.79, if you tip 15% would be _____..
Answers
($12.27)
10% of 80 is 8
20% of 80 is 16
15% is right in between 10% and 20%, so the tip should be $12 which right in between $8 and $16.
Find the slope of the line containing the points (3,8) (1,8)
Answers
slope of a line accordind to two point form is given by
tan∅=y₂-y₁/x₂-x₁
∴ tan∅=8-8/1-3
⇒ tan∅ = 0
∴∅=0°
hence the line lies in the x axis.
The tax rate is 8.5% what is the tax on $95? Rounded to the nearest hundredth.
Answers
answer
sales tax is $8.08
The tax on $95 will be equal to $8.08 at the rate of 8.5%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the tax rate is 8.5% the tax on $95 will be calculated as,
Sales tax = 8.5% of 95
Sales tax = 0.085 x 95
Sales tax = $8.08
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Find the critical numbers of the function. (Enter your answers as a comma-separated list.)
f(θ) = 8sec θ + 4tan θ, 0 < θ < 2π
Answers
The critical numbers of the function f(θ) = 8sec(θ) + 4tan(θ) are where the derivative is undefined, specifically at θ = π/2 and θ = 3π/2.
Explanation:To find the critical numbers of the function f(θ) = 8sec(θ) + 4tan(θ), we need to take its derivative and set it equal to zero or find where the derivative does not exist. First, we compute the derivative of the function. Recall that the derivative of sec(θ) is sec(θ)tan(θ) and the derivative of tan(θ) is sec2(θ).
Thus, the derivative f'(θ) is 8sec(θ)tan(θ) + 4sec2(θ). We look for where this derivative is undefined or equal to zero. The derivative is undefined when sec(θ) is undefined, which occurs at θ = π/2 and θ = 3π/2. To find where the derivative is zero, we can factor out 4sec(θ):
4sec(θ)(2tan(θ) + sec(θ)) = 0
The second factor will never be zero because sec(θ) and tan(θ) will not be zero for the same θ in the interval given. Therefore, the critical numbers are where the derivative is undefined, which is θ = π/2 and θ = 3π/2.
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In a group of 48 children there are twice as many boys as girls how many girls are they
Answers
Let y = the number of girls.
There are 48 children, therefore
x + y = 48 (1)
There are twice as many boys as girls, therefore
x = 2y (2)
Substitute (2) into (1).
2y + y = 48
3y = 48
y = 48/3 = 16
x = 2y = 2*16 = 32
x=32, y = 16
Answer: 16 girls
Dakota runs a half-marathon every 6 weeks, and Madison runs a half-marathon every 15 weeks. If they start now, in how many weeks will they again be running a half marathon at the same time?
Answers
6, 12, 18, 24, 30
15, 30
Both lines have the 30 in common. So it’ll take 30 weeks until they run a half- marathon together
Answer:
30 weeks
Step-by-step explanation:
Given : Dakota runs a half-marathon every 6 weeks,
Madison runs a half-marathon every 15 weeks
To Find : . If they start now, in how many weeks will they again be running a half marathon at the same time?
Solution :
Since Dakota runs a half-marathon every 6 weeks, Madison runs a half-marathon every 15 weeks
So, to calculate If they start now, in how many weeks will they again be running a half marathon at the same time
We will take the LCM (lowest common factor) of 6 and 15
3 | 6,15
2 | 2,5
5 | 1,5
| 1,1
LCM = 3*2*5 =30
The LCM of 6 and 15 is 30
So, If they start now, in 30 weeks they will again be running a half marathon at the same time
write an expression that represents the product the of q and 5 divided by 2
Answers
Which equation correctly applies the distributive property?
A. 2.4⋅(−3.4)⋅(−1.25)=−3.4⋅2.4⋅(−1.25)
B. −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)
C. −2.5⋅(4⋅3.67)=(−2.5⋅4)⋅3.67
D. (42⋅3.5)+(42⋅1.3)+(42⋅5.2)=42+(3.5+1.3+5.2)
Answers
B. −3⋅(6.48)=(−3⋅6)+(−3⋅0.4)+(−3⋅0.08)
Answer:
B
Step-by-step explanation:
The bottom floor of a parking garage has an elevation of -36 feet. The top floor is 124 feet higher. What is the elevation of the top floor
Answers
if x -6 is one factor of x^2 - 10x +24, which is the other factor?
Answers
x² - 10x + 24 ÷ x - 6
Here is the work using polynomial long division:
x -4
x - 6 | x² - 10x + 24
x² - 6x
0 - 4x + 24
-4x - 24
0
We can see that our quotient is x - 4, which would be the other factor of x - 6 to get x² - 10x + 24. The answer to your query is x - 4. Hope this helps and have a phenomenal day!
Convert 95 pints to gallons. Round to one decimal point. Please show your work
Answers
95/8 = x gallon
95/8 = 11.875
x = 11.875
There is ~11.875 gallons
hope this helps
Therefore,
95/8 = 11.875
630 meters in 18 seconds write this ratio as a unit rate
Answers
divide 630 by 18
630/18 = 35
so unit rate would be 35 meters per second
The set of possible values of m is {5,7,9}. What is the set of possible values of k if 2k=m+3?
Answers
so the possible values for k are
when m=5
[tex]2k=5+3 \\ k=4[/tex]
when m=7
[tex]2k=7+3 \\ k=5[/tex]
when m=9
[tex]2k=9+3 \\ k=6[/tex]
so the possible values for k are {4,5,6}
how many twelfths are in 3?
Answers
there are 36 twelfths in 3
Answer:
36 twelfths.
Step-by-step explanation:
We are asked to find number of twelfths are in 3.
We can write 3 as a fraction as:
[tex]\frac{3}{1}[/tex]
To convert our given number to twelfths, we will multiply numerator and denominator of our fraction by 12 as:
[tex]\frac{3}{1}\times \frac{12}{12}[/tex]
[tex]\frac{3\times 12}{1\times12}[/tex]
[tex]\frac{36}{12}[/tex]
Therefore, there are 36 twelfths in 3.