The time of the note in days is calculated using the simple discount formula, and by substituting the values of proceeds, face value, and discount rate, the result is 164.99856 days.
The question involves finding the time in days for which a simple discount note is held, given the proceeds, face value, and discount rate. The note's face value is $5,000 and the proceeds received are $4,713.54. The simple discount rate is 12.5%. Assuming a 360-day year, we need to calculate the time period for the note.
Firstly, we need to determine the amount of the discount, which is the difference between the face value and the proceeds: $5,000 - $4,713.54 = $286.46. The discount, given the simple discount formula, is equal to the face value multiplied by the discount rate and the time (in years). The simple discount formula can be expressed as: Discount = Face Value × Discount Rate × Time. Rearranging this formula to solve for time, we get: Time = Discount ÷ (Face Value × Discount Rate).
Substituting the known values we have: Time = $286.46 ÷ ($5,000 × 0.125) = $286.46 ÷ $625 = 0.458336 years. To convert years to days, we multiply the time in years by the number of days in a year (assuming a 360-day year): 0.458336 years × 360 days/year = 164.99856 days. Since we're instructed not to round intermediate calculations, the time of the note is 164.99856 days.
There were 25 melons at the grocery store. The store sold 3/5 of the melons. How many melons were sold?
Judy built a rectangular patio that is 9 meters wide and has a perimeter of 40 meters what is the length of Judy’s patio
Final answer:
The length of Judy's rectangular patio is 11 meters, calculated using the perimeter formula for rectangles and the given width and perimeter measurements.
Explanation:
To find the length of Judy's patio, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w, where P is the perimeter, l is the length, and w is the width. Judy's patio has a known width of 9 meters and a perimeter of 40 meters. Substituting these values into the perimeter formula, we get:
40 = 2l + 2(9)
40 = 2l + 18
To solve for the length l, we first subtract 18 from both sides:
40 - 18 = 2l
22 = 2l
Now, we divide both sides by 2 to find the length:
22 / 2 = l
11 meters = l
Therefore, the length of Judy's patio is 11 meters.
You paid $80 for a tennis racket. If you found the racket under a sign stating 1/4 off, what must the original retail price have been?
plz put graph form
1) 2x - y = -13
y = x + 9
2)3x + 2y = 10
6x - y = 10
3)4x - 3y = 5
3x + 2y = -9
4)x + y = 7
x - y = -1
This figure consists of a rectangle and semicircle.
What is the perimeter of this figure?
Use 3.14 for pi.
19.42 cm
20.28 cm
23.42 cm
32.84 cm
Answer:
The perimeter of the figure is [tex]23.42\ cm[/tex]
Step-by-step explanation:
we know that
The perimeter of the figure is equal to the perimeter of the rectangle plus the circumference of a semicircle minus the length of [tex]6\ cm[/tex]
Step 1
Find the perimeter of rectangle
The perimeter of rectangle is equal to
[tex]P=2(L+W)[/tex]
In this problem we have
[tex]L=6\ cm[/tex]
[tex]W=4\ cm[/tex]
substitute
[tex]P=2(6+4)=20\ cm[/tex]
Step 2
Find the circumference of a semicircle
The circumference of a semicircle is equal to
[tex]C=\pi r[/tex]
we have
[tex]r=6/2=3\ cm[/tex] -----> the radius is half the diameter
substitute
[tex]C=3\pi\ cm[/tex]
Step 3
Find the perimeter of the figure
[tex]20\ cm+3\pi\ cm-6\ cm=(20+3.14*3-6)=23.42\ cm[/tex]
Which of the following functions is quadratic? f(x)=3(x-4)(x+3), f(x)=5^2, f(x)=2/x, f(x)=2x^3+3x^2-5
Final answer:
The function f(x)=3(x-4)(x+3) is the only quadratic function provided in the options, as it can be expanded to a second-order polynomial form.
Explanation:
The student asks which of the given functions is quadratic. A quadratic function is a second-order polynomial with the highest exponent of the variable being 2. Given the options, the function f(x)=3(x-4)(x+3) is quadratic because it can be expanded to the form ax2 + bx + c, where a, b, and c are constants. The given function will simplify to a quadratic equation once we expand it. No other provided functions display the characteristics of a quadratic equation; f(x)=52 is a constant, f(x)=2/x is a rational function, and [tex]f(x)=2x^3+3x^2-5[/tex] is a cubic function.
Simplify: 4x + 4y + 4z A) 4 + xyz B) 4x3y3z3 C) 4xyz D) 4x + 4y + 4z
What is the area of the trapezoid? Enter your answer in the box. in2 The figure shows a trapezoid. The parallel bases of the trapezoid are horizontal, and top base is shorter than the bottom base. Vertical line segments are drawn inside the trapezoid from the upper vertices perpendicular to the bottom base. These segments are each 6 inches and divide the trapezoid into two right triangles and a rectangle. The rectangle lies between the two triangles. The bases of the triangles and rectangle make up the bottom base of the trapezoid. The base of each triangle is 4 inches, and the base of the rectangle is 8 inches.
Answer: [tex]\text{Area}=72\ inches^2[/tex]
Step-by-step explanation:
By the given description of trapezoid we get,
The height of the trapezoid h= 6 inches
The base of triangle = 4 inches
The base of rectangle (a)= 8 inches
The bottom base of the trapezoid (b)= 2×base of triangle +base of rectangle
The bottom base of the trapezoid (b)= [tex]2(4)+8=8+8=16\ inches[/tex]
The area of trapezoid is given by :-
[tex]\text{Area}=\frac{1}{2}(a+b)h\\\\\Rightarrow\text{Area}=\frac{1}{2}(8+16)(6)\\\\\Rightarrow\text{Area}=72\ inches^2[/tex]
Answer:
72
Step-by-step explanation:
in an election for sheriff 210 people voted if there where 1260 possible voters write a ratio to compare the number of people who voted to the numbernof possible voters
The ratio of the number of people who voted to the number of possible voters in the sheriff election is 1:6 after simplifying the original ratio of 210:1260.
Explanation:In an election for sheriff where there are 1260 possible voters and only 210 people voted, the ratio of the number of people who voted to the number of possible voters can be written as 210:1260. To simplify this ratio, you divide both numbers by the greatest common divisor, which in this case is 210. So, when you divide both 210 and 1260 by 210, the simplified ratio is 1:6. This means that for every one person who voted, there were six possible voters.
The number of people who voted is 210 and the number of possible voters is 1260. So the ratio is 210:1260. Simplifying this ratio by dividing both numbers by their greatest common divisor, which is 30, we get 7:42. Therefore, the ratio to compare the number of people who voted to the number of possible voters is 7:42.
Beulah took out a loan for $1225 at an 11.4% APR, compounded monthly, to buuy a foosball table. If she will make monthly payments of $101.75 to pay off tghe loan, how many total payments will she have to make?
Answer:
13
Step-by-step explanation:
APEX
meg runs 1 1/2 miles and walks 2 1/4 miles each day of the week. how far does meg run and walk in al each week? explain. remember, you can write an equivalent fraction fir 1 1/2
Last question pls help!
A rectangle has a side of 12 inches and another side of 6 inches...
whats the perimeter? whats the area? what would be the area and permieter combined?
your elapsed time is 9 and 3/4 and you finishrd at 6:00 pm. what ime did you start?
Find an explicit rule for the nth term of the sequence.
-5, -25, -125, -625, ...
Answer Choices
A) an = -5 • 5n
B) an = 5 • -5n + 1
C) an = 5 • -5n
D) an = -5 • 5n - 1
Final answer:
The explicit rule for the nth term of the sequence is an = -5 * 5ⁿ that is option A is correct.
Explanation:
The explicit rule for the nth term of the sequence is an = -5 * 5ⁿ
To find this rule, we notice that each term is 5 times the previous term but negative. So, the nth term can be represented as an = -5 * 5^(n-1), which simplifies to an = -5 * 5ⁿ.
Therefore, the correct answer choice is A) an = -5 * 5ⁿ.
1 tin of 500ml blue paint costs $11.50. to finish a bedroom i need 4litre of blue paint. how much wi this cost me.
number 248682 rounded off to the nearest hundred becomes what
Simplify 3a • 3b ÷ 3c ÷ 3d. The exponent on 3 is _____.
The correct answer is 2.
To simplify the expression 3a • 3b ÷ 3c ÷ 3d, we need to apply the laws of exponents and combine the coefficients and variables.
Given expression: [tex]3a \cdot 3b \div 3c \div 3d[/tex]
[tex]\text{Step 1: Rewrite the expression using exponents}[/tex]
[tex](3^1 \cdot a) \cdot (3^1 \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]
[tex]\text{Step 2: Apply the laws of exponents for multiplication and division}[/tex]
[tex](3^1 \cdot 3^1 \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]
[tex]= (3^{1 + 1} \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]
[tex]= (3^2 \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]
[tex]\text{Step 3: Simplify the expression by combining the exponents and coefficients}[/tex]
[tex](3^2 \cdot a \cdot b) \div (3^1 \cdot c) \div (3^1 \cdot d)[/tex]
[tex]= (3^2 \cdot a \cdot b) \div (3^{1 + 1} \cdot c \cdot d)[/tex]
[tex]= (3^2 \cdot a \cdot b) \div (3^2 \cdot c \cdot d)[/tex]
[tex]= \frac{a \cdot b}{c \cdot d}[/tex]
Therefore, the simplified expression is [tex]\frac{a \cdot b}{c \cdot d}[/tex], and the exponent on 3 is 2.
How many square feet of outdoor carpet will we need for this hole?
Answer:
44 square feet
Step-by-step explanation:
We are given a rectangle of dimension 12ft×4ft and a square of dimension 2ft×2ft.
Then, the required outdoor carpet will be:
Outdoor carpet required=Area of the outer hole that is the rectangle - Area of the inner hole that is the square
=[tex](length)(breadth)-(side)^{2}[/tex]
=[tex](12)(4)-2^{2}[/tex]
=[tex]48-4[/tex]
=[tex]44[/tex] square feet.
Josie has $80. Addie has $60.
In how many months will they both have the same amount of money if Josie saves $30 per month and Addie saves $40?
A regular hexagon has a side of 18 cm, find the area of the regular polygon
lungimea unei gradini de 78 m iar perimetrul este de 256 m.Afla latimea gradinii
can someone help me please
The first step to solve this problem is to compute first for the area of the bigger rectangle:
A = LW
A = 12m (10m)
A = 120 m^2
Next step is to find the area of the smaller rectangle:
A = LW
A = 7m (2m)
A = 14 m^2
The last step is to deduct the area of the smaller rectangle to the area of the larger rectangle:
Area of larger rectangle – Area of the smaller rectangle = Area of the shaded region
120 m^2 – 14 m^2 = 106 m^2
Therefore, the area of the shaded region is 106 square meters.
Yesterday, the price of a gallon of gas at five gas stations was $3.64, $3.79, $3.70, $4.01, and $3.91, respectively, but today each gas station raised its price by $0.08. What is today's mean price of a gallon of gas at the five stations?
A. $3.81
B. $3.89
C. $3.73
D. $3.97
PLEASE BE CORRECT.
Option: B is the correct answer.
B. $ 3.89
Step-by-step explanation:The price of a gallon of gas at five gas stations is given by:
$3.64, $3.79, $3.70, $4.01, and $3.91
The mean of these data values is given by:
[tex]Mean=\dfrac{3.64+3.79+3.70+4.01+3.91}{5}\\\\\\Mean=\dfrac{19.05}{5}\\\\\\Mean=3.81[/tex]
We know that if each of the quantity of the data set is increased by a fixed amount then the mean of the data set also increases by that fixed amount.
As we are given that each gas station raised its price by $0.08.
This means that the mean is also increased by $ 0.08
i.e. Today's mean price of a gallon of gas at the five station is given by:
[tex]Mean=3.81+0.08\\\\\\Mean=3.89[/tex]
Hence today's mean is:
$ 3.89
144=8x what is the answer please help me
What is the mean of the data set un the box below?
- 7,- 10,- 1,0,- 4,- 7,3,- 2,1
Part A: What is the group of points labeled P called? What is the point labeled T called? Give a possible reason for the presence of point T.
Part B: Describe the association between students' test scores and the number of hours they exercise.
Find the function y1 of t which is the solution of 16y′′−81y=0 with initial conditions y1(0)=1,y′1(0)=0.
13 is 20% of what number
Solve for x. 3.3x = 29.04 A) 8.0 B) 8.2 C) 8.6 D) 8.8
subtracting unlike fractions 8/9 - 5/6