Acelynn borrows $1337 to buy a four wheeler. The interest rate is 4% for the 14 year loan.
Final answer:
Acelynn will pay back a total of $748.72 in interest over the 14 years of her loan for the four-wheeler. This was calculated using the simple interest formula.
Explanation:
To calculate how much interest Acelynn will pay back on the money borrowed for the four-wheeler, we use the simple interest formula: Interest (I) = Principal (P) × Rate (R) × Time (T).
Here, the principal P is $1337, the rate R is 4% (or 0.04 as a decimal), and the time T is 14 years.
Plugging these values into the formula, we get:
I = $1337 × 0.04 × 14
I = $53.48 × 14
I = $748.72
Therefore, as per the above explaination,Acelynn will pay back $748.72 in interest over the 14 years of the loan.
simplify (39x+54y)+(46x-28y)
The linear function in the graph shows the population of Greeville in the years since 2010.
The exponential function in the table represents the student population of the county that Greeville is in, in years since 2010.
Years since 2010 2 3 4 5
Population 2200 4400 8800 17,600
How does the y-intercept of the exponential function compare to the y-intercept of the linear function? Drag the correct answer to the box to complete the statement.
approximately 300 more than
approximately 300 less than
approximately 2000 more than
approximately 2000 less than
The y-intercept of the exponential function is _______ the y-intercept of the linear function.
Answer: The y-intercept of the exponential function is approximately 2000 less than the y-intercept of the linear function.
Step-by-step explanation:
Given: The exponential function in the table represents the student population of the county that Greenville is in, in years since 2010.
The standard exponential function is given by :-
[tex]y=Ab^x[/tex], where A is the initial population and x is the number of years.
From table , the multiplicative rate of change b=[tex]\frac{y_3}{y_2}=\frac{4400}{2200}=2[/tex]
Put x=2 and b=2 in the equation, we get
[tex]2200=A(2)^2\\\Rightarrow\ A=\frac{2200}{4}=1950[/tex]
We know that the value of y intercept occurs when x=0,
From the given table , the y intercept of exponential function (Initial population)= 550
The linear function in the graph shows the population of Greenville in the years since 2010.
From the given graph, the y intercept of linear function (x=0 for year 2010)= 2500
The difference in y intercepts = [tex]2500-550=1950\approx2000....\text{{Rounded nearest thousand}}[/tex]
Hence, The y-intercept of the exponential function is approximately 2000 less than the y-intercept of the linear function.
PLEASE HELP!!! 20 POINTS THANKS
Use the Associative Property of Addition to find the total of 4, 12, and 18 in two different ways.
A. (4 + 12) + 18 = 16 + 18 = 34; 4 + (12 + 18) = 4 + 30 = 34
B. (4 + 12) + 18 = 16 + 18 = 34; (12 + 4) + 18 = 16 + 18 = 34
C. 4 + 12 + 18 = 16 + 18 = 34; 12 + 18 + 4 = 30 + 4 = 34
D. 4 + 12 + 18 = 16 + 18 = 34; 18 + 12 + 4 = 30 + 4 = 34
Answer:
Step-by-step explanation:
A. (4 + 12) + 18 = 16 + 18 = 34; 4 + (12 + 18) = 4 + 30 = 34
The Earth is approximately 2 × 107 km from Venus at its closest approach. The Earth is also about 4 × 1013 km from Proxima Centauri, a star. Which of the following is true?
A.
The distance from Earth to Proxima Centauri is approximately two million times the distance from Earth to Venus.
B.
The distance from Earth to Proxima Centauri is approximately two trillion times the distance from Earth to Venus.
C.
The distance from Earth to Proxima Centauri is approximately two billion times the distance from Earth to Venus.
D.
The distance from Earth to Proxima Centauri is approximately two thousand times the distance from Earth to Venus.
Answer:
D. The distance from Earth to Proxima Centauri is approximately two million times the distance from Earth to Venus.
Step-by-step explanation:
A geologist had two rocks on a scale that weighed 3.3 kilograms together. Rock A was 0.1 of the total weight. How much did rock A weigh?
Answer:
Rock A had a weight of 0.33Kg
Step-by-step explanation:
Let X: the weight of rock A and Y: the weight of rock B. The information available suggests that:
X + Y = 3.3 [Eq. one]
X = 0.1 (X + Y) [Eq. two]
Considering equation 2, we have that X = 0.1X + 0.1Y, which produces:
0.9X = 0.1Y ------------> 9X = Y. Substituting this last result in equation 1, you have:
X + 9X = 3.3, that is,
10X = 3.3 --------> X = 3.3 / 10 = 0.33Kg. As Y = 9X, then, Y = 9 (0.33) = 2.97Kg
What is the value of X in the Figure
The numbers in the figure are 104° and {3x-19|°
both angles are equal so you have
104 = 3x-19
add 19 to both sides
123 = 3x
divide both sides by 3
x = 123/3
x = 41
Which of the following would be a reasonable estimate for the height of a skyscraper?
A.
1 × 103 feet
B.
1 × 108 feet
C.
1 × 10-8 feet
D.
1 × 10-3 feet
A reasonable estimate for the height of a skyscraper is A. 1 x 10^3 feet, as it translates to 1,000 feet which is within the typical range for skyscrapers.
The reasonable estimate for the height of a skyscraper would be A. 1 x 10^3 feet. Option B is incredibly too high as no building is 1 x 10^8 feet tall. Option C and D are also incorrect as they represent very small sizes that are practically negligible and certainly not suitable for a building. A height of 1 x 10^3 feet is a reasonable approximation because it equates to 1,000 feet, which is well within the range of normal skyscrapers.
What is the distributive property of 48 + 72?
Answer:
12(4+6)
Explanation:
To write a problem using the distributive property, we must find a factor they have in common.
48 and 72 are both divisible by 12; this means that we can "pull out" 12. This will be what we multiply by in the distributive property.
48/12 = 4 and 72/12 = 6; this means this is what goes inside parentheses. This gives us
12(4+6)
The distributive property is expressed as 24 (2 + 3) = 24(2) + 24(3)
The distributive property is a property of multiplication used in addition and subtraction. In our case it is used in addition.
The property can be express mathematically as follows.
a(b + c) = ab + acTherefore,
lets find the factor of 48 and 72 to represent the distributive property.
24 (2 + 3) = 24(2) + 24(3)check here for more information: https://brainly.com/question/2152148?referrer=searchResults
Lisa is working on plans for a 12-acre housing development l. A park will cover 2 1/2 arcres, and paved areas will take 1 3/4 arces. How many acres are left for the home sites. I know the answer but I don't know how to show my work so explain please. 20 points!
How do you estimate 92% of 104
Which of the sums below can be expressed as 6(3 + 9)? (3 points) 18 + 54 18 + 9 9 + 15 6 + 54
6*3 = 18
6*9 = 54
so 18 +54 is the correct answer
When finding 433 - 249 using place value. What do you subtract first?
Final answer:
To subtract 433 - 249 using place value, start with the units place, proceed to the tens, and then the hundreds, borrowing as needed.
Explanation:
When finding 433 - 249 using place value, you should subtract starting with the rightmost digits, which are the units, and proceed to the left towards higher place values such as tens and hundreds, if necessary. This means you subtract the ones place first (3 - 9), then the tens place (3 - 4), and finally the hundreds place (4 - 2), borrowing from the next higher place value whenever the top digit is smaller than the bottom digit.
Which ordered pairs are a solution are a solution to the equation?
y = 8x
Select all that apply
a) (3, -24)
b) (2,16)
c) (1,8)
d) ( -16,-2)
e) (-3,-24)
Answer:
I think the answer us
D no.
Answer:
D
Step-by-step explanation:
D is y = -16
x = -2
-16 = 8 ( -2 )
-16 = -16
enya exchanges $200 for euros (€). Suppose the conversion rate is €1 = $1.321. How many euros should Kenya receive? (1 point) €264.20 €151.40 €132.10 €66.05
Answer:
151.40 E
:[tex]\frac{x200}{1} *\frac{y1}{x1.321} =\frac{y200}{1.321}[/tex]
X=$
Y=E
Simplify and you get 151.40Y or E
8 gallons of batter are poured equally into 4 bowls. How many gallons of batter are in each bowl
Maria and Edwin have $23.00 each to spend at a book fair, where all students receive a 25% discount. They both want to purchase a copy of the same book, which normally sells for $26.50 plus 10% sales tax. To check if she has enough to purchase the book, Maria takes 25% of $26.50 and subtracts that amount from the normal price. She takes 10% of the discounted selling price and adds it back to find the purchase amount. Edwin takes 75% of the normal purchase price and then computes 110% of the reduced price. Is Maria correct? Is Edwin correct? Do they have enough money to purchase the book? Explain your answer using complete sentences, and show your work.
Help Me
@SignoraPenguino
Answer:
Step-by-step explanation:
They are both correct, the only difference is Maria did a two step process and Edwin did a one step process the total amount it would cost is $21.87 with $1.13 left over.
The way Maria calculates the final price of the book is correct. We know that the book normally sells for $26.50 plus a 10% sales tax. We also know that the students will receive an additional 25% discount. We must understand that the sales tax is applied to the discounted price. So first we will calculate 25% of 26.50 and subtract it from that amount. So the price will then be: (26.50 - 6.625). The price is now $18.34. Then to calculate the tax, it will be (10% * 18.34), so 1.834. We add this amount to the discounted price so: (18.34+1.834) = 20.12.
The final price of the book is $20.12 and Maria can get it and still save a little money.
your welcome
what is 4 7/8 as a improper fraction
Help please!
−3/4 + (1/10 ÷ 2/5)
im trying to pass the hardest quiz in the world(will give brainliest) the first question is
you are the bus driver on your first stop 12 ppl get on on your second 8 get of 6 get on o the last stop 19 get off and you get off what are the bus drivers eyes
Answer: Whatever color yours are. You’re the bus driver
Mario walks 7 blocks east from his home and arrives at his favorite restaurant. When he arrives, he discovers that he dropped his wallet along the way. He retraces his steps for 5 blocks until he finds his wallet. An expression for how many blocks east Mario is from his home after finding his wallet is the sum 7 plus or(minus−5). How many blocks east is Mario from his home after finding his wallet?
What is 2m-13=-8m+27
2x/3 + 1 = 3
Please work this problem out for me. Here are the possible answers:
x = 1
x = 2
x = 3
x = 6
A grocer sells eggs only in boxes of 8. If he starts with 175 eggs and fills as many boxes as he can with eggs, how many eggs will he have left over?
After dividing the total number of eggs (175) by the number of eggs per box (8), the grocer will have 7 eggs left over once 21 boxes are filled.
Explanation:To solve how many eggs the grocer will have left over, we need to divide the total number of eggs (175) by the number of eggs in a box (8).
Divide 175 by 8 which equals 21 with a remainder of 7.Therefore, the grocer can fill 21 boxes with 8 eggs each.The grocer will have 7 eggs left over.This calculation involves basic division and understanding remainders, which are common math skills taught in middle school.
The grocer starts with 175 eggs and sells them in boxes of 8. To find the number of boxes he can fill, we divide the total number of eggs by the number of eggs per box: 175 / 8 = 21.875. Since the grocer can only sell whole boxes, he can fill 21 boxes. To find the number of eggs left over, we subtract the number of filled boxes from the total number of eggs: 175 - (21 * 8) = 175 - 168 = 7 eggs left over.
A worker on the production line is paid a base salary of $190 per week plus $1.19 for each unit produced. Write an equation to represent his earnings of $444.66 for a week when he produced x units. How many units did he produce? Use pencil and paper. If the worker had produced twice that number of units, what would his earnings have been? Show your work.
If the fraction 396\x-10 is equivalent to -22. find the value of x.
The fraction 26/5 is between which two numbers?
2 and 3
3 and 4
4 and 5
5 and 6
Alberts cabbage patch has 12 rows of cabbage. in each row, there are 15 heads of cabbage. how many cabbage does Albert have in all
How many 1" cubes will pack into a regular box with dimensions 8" by 6" by 6.5"?
What is 13x13??????????????
The product of 13×13 is 169 or it can also be written as 13².
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents is only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
Given, A product two same numbers 13.
Now, 13×13 which equals 169.
Again 13×13 written in terms of exponents is,
= 13¹×13¹.
= 13².
learn more about exponents here :
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