About 2 months ago, you got a $2,000 180-day 13% consumer loan. Today you made a $1,000 payment, resulting in a balance of $1,042.74. Thirty-eight days later you pay the loan in full. Calculate the total amount of that payment. Assume a 365-day year.

Answers

Answer 1
P +I = P +Prt = P(1 +rt)
.. = $1042.74*(1 +0.13*38/365) = $1056.85

Related Questions

what is the circumternence

Answers

Circumference of a circle is the distance around the circle. This can be found by using the equation below

2*pi*radius

Our diameter, as shown, is 9cm. Since radius is half of the diameter, our radius is 4.5cm.

Therefore, our circumference is...

2 * pi * 4.5 = 9pi cm total

There are 108 flights from an airport, 20 of which are longer than 3 hours. The flight from this airport will be randomly chosen. What is the probability it is longer than 3 hours? Enter your answer as a fraction, in simplest form, in the box.

Answers

5/27 is your answer. Hope it helps! :)

The required solution of the probability it is longer than 3 hours is 5/27.

What is probability?

probability is the ratio of the number of favorable outcomes and the total number of possible outcomes. The chance that a particular event (or set of events) will occur expressed on a linear scale from 0 (impossibility) to 1 (certainty), also expressed as a percentage between 0 and 100%.

Given:

There are 108 flights from an airport, 20 of which are longer than 3 hours.

According to given question we have

By the use of probability we get,

the probability it is longer than 3 hours

=20/108

By simplifying we get

=5/27

Therefore, the required solution of the probability it is longer than 3 hours is 5/27.

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URGENT algebra 2 B

Write an equation that expresses the grips weight of an aircraft as a function of its landing speed !

Answers

Try this solution:
V²=1.223*w; ⇒ w=V²/1.223

Answer:
[tex]w= \frac{V^2}{1.223} [/tex]

mr.kiniston jogged how many miles

Answers

The answer is letter G.
Start by takingvthe original number of minures amd dividing by miles walked. all 3 wxamples cone out as 7. Now, you can make a graph. image above. He jogs 6 miles in 35 minutes, 6 miles in r2 minutes, and 7 miles in 49 minutes. If you need help, just comment and I can help as much as I can.

find the height of each pyramid hexagonal pyramid: volume 1320 ft cubed area of the base 120 ft squared

Answers

The height of the pyramid is 33 ft.

The formula for the volume of a right pyramid is 
V=1/3(B)(h), where B is the area of the base and h is the height.  Substituting our known information, we have:

1320 = 1/3(120)h
1320 = 40h

Divide both sides by 40:
1320/40 = 40h/40
33 = h

Answer:

oiuy

Step-by-step explanation:

2498

What is the volume of the cone show your work

Answers

Consider this option:
1. rule: 
[tex]V_{con}= \frac{1}{3} \pi r^2h, \ where \ r-radius \ of \ the \ base,h-height \ of \ the \ cone[/tex]
2. If r=1 ft., h=2ft., then 
V=1/3 * 1*2*π=2/3 π (units)³.

[tex]answer: \frac{2}{3} \pi \ (units)^3[/tex]

Suppose that x is normally distributed with a mean of 10 and a standard deviation of 3. find p(x ≤ 6). note: round your answer, if necessary, to two places after the decimal. please express your answer with two places after the decimal.

Answers

knsc;knm,abfvdrkbnkjareskjvnerl.ngaknsdkbvjkndskjnv,mcxn,h'trfkse

Henry usually has about $300 in his account at any given time during the month. He limits his ATM visits to one per week and is interested in banking online options. Bank X and Bank Z have 5 ATMs within a 5 mile radius of Henry’s work and his new home. Which bank should he choose? a. Bank X b. Bank Y c. Bank Z d. Bank X and Z

Answers

From the situation above, Bank Z is the best option. SO the answer is letter C. Bank Z. This bank is convenient because Bank Z have 5 ATMs within a 5 mile radius of Henry’s work and his new home.
the answer is c on E2020

apply the distribution property to produce an equivalent expression 2(7g + 7)

Answers

21+g or it could be(still the same thing) 21 + 1g

The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object? 4.9 9.8 10.2 19.6

Answers

Final answer:

The acceleration due to gravity on Earth is approximately 9.80 m/s² and is symbolized as g, which represents a constant rate of acceleration for free-falling objects in the absence of air resistance.

Explanation:

The acceleration due to gravity is a constant that plays a fundamental role in physics, particularly when discussing free-fall motion. On Earth, the acceleration due to gravity of a falling object, when air resistance is negligible, is approximately 9.80 m/s². This value, denoted by the symbol g, is used to calculate various parameters in the kinematic equations of motion for an object subject only to the force of gravity.

Ronnie, Mack, Kim, and Ada together stacked a total of 40 pizzas in a pan. Ronnie stacked 0.25 of the pizzas, Mack stacked 9 of the 40 pizzas, Kim stacked 35% of the pizzas, and Ada stacked the remaining pizzas. Who stacked the most pizzas?

Answers

Hello!

Here's how much each person stacked:

Ronnie -- 0.25 of the 40 pizzas.

Mack -- 9/40

Kim -- 35% of the 40 pizzas.

Ada -- rest of the pizzas.

Now, the questions asks for who stacked the most pizzas.

First, find our how many pizzas they stacked out of 40.

40 × 0.25 = 10

40 × 35% = 14

10 + 9 + 14 = 33

40 - 33 = 7

This means that Ronnie stacked 10 pizzas, Mack stacked 9 pizzas, Kim stacked 14 pizzas, and Ada stacked 7 pizzas.

ANSWER:

Kim stacked the most pizzas since she stacked 14 of them.

Answer:

Kim stacked the most pizzas since she stacked 14 of them.

Step-by-step explanation:

A scatter plot is shown. Data points are located at 1 and 9, 3 and 5, 5 and 6, 4 and 4, 2 and 7, and 6 and 4. A line of best fit crosses the y-axis at 10 and passes through the point 6 and 4. How many hours will Sherwin most likely sleep if he consumes 9 cups of coffee? 1, because y = −x + 10 2, because y = −x + 10 9, because y = −x + 10 10, because y = −x + 10

Answers

First we find the equation of the line.
 We have then:
 The standard equation of the line is:
 y-yo = m (x-xo)
 m = (y2-y1) / (x2-x1)
 A line of best fit crosses the y-axis at 10 and passes through the point 6 and 4
 m = (4-10) / (6-0)
 m = -1
 (xo, yo) = (6, 4)
 The line is:
 y-4 = -1 (x-6)
 y-4 = -x + 6
 y = -x + 10
 Where,
 y: number of hours slept.
 x: number of coffee cups.
 for x = 9
 y = - (9) +10
 y = 1 hour

 Answer:
 if he consume 9 cups of coffee, Sherwin will most likely sleep 1 hour. 
 1, because y = -x + 10

Answer:

if he consume 9 cups of coffee, Sherwin will most likely sleep 1 hour.  

1, because y = -x + 10

How much longer is a 1 inch button that 3/8 inch button

Answers

5/8 of an inch hope this helps
1 = 8/8. ( For 8 divided by 8 equals 1)

8/8 - 3/8 = 5/8

5/8 is your answer

Hope this helps

There are 19.6.grams of protein in 4 ounces of cashews. About how many gram of protein are in one ounce of cashews?

Answers

19.6 / 4 will give you 1 ounce. It's about 5 if you round 19.4 to 20
If you use a calculator, it is 4.9 grams.

Final answer:

To find the protein content in one ounce of cashews, divide 19.6 grams by 4 ounces, resulting in approximately 4.9 grams of protein per ounce.

Explanation:

To find out how many grams of protein are in one ounce of cashews, we need to divide the total amount of protein by the number of ounces. Given that there are 19.6 grams of protein in 4 ounces of cashews, we can calculate the amount of protein in one ounce by performing the following calculation:

Amount of protein in one ounce = Total grams of protein / Number of ounces

Amount of protein in one ounce = 19.6 grams / 4 ounces

Amount of protein in one ounce = 4.9 grams

Therefore, there are approximately 4.9 grams of protein in one ounce of cashews.

write the expression in complete factored form q^2(p+1)+3(p+1)

Answers

first expand the brackets which will give you
[tex]pq {}^{2} + q { }^{2} + 3p \: + 3[/tex]
then factor them
[tex](q {}^{2} + 3)(p + 1)[/tex]

The answer is (p+1) (q^2+3) 

70 POINTS!!!! PLEASE HELP!! I WILL MARK. BRAINLIEST!!

Write the trinomial as a square of a binomial or as an expression opposite to a square of a binomial:

a. 4cd –25c^2–0.16d^2


b. –0.49x^2–1.4xy –y^2

Answers

a. 4cd-25c²-0.16d²
-(5c-0.4d)²

b. -0.49x²-1.4xy-y²
-(0.7x+y)²

The value of equation A = - ( 5c - 0.4d )²

The value of equation B = - ( 0.7x + y )²

What is an 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.

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.

Given data ,

Let the first equation be represented as A

Now , the value of A is

A = 4cd - 25c² - 0.16d²   be equation (1)

On simplifying the equation , we get

A = - ( 25c² - 4cd + 0.16d² )

On factorizing the equation , we get

A = - ( 5c - 0.4d )²

Therefore , the value of A is - ( 5c - 0.4d )²

Let the second equation be represented as B

Now , the value of B is

B = -0.49x² - 1.4xy - y²   be equation (1)

On simplifying the equation , we get

B = - ( 0.49x² + 1.4xy + y² )

On factorizing the equation , we get

B = - ( 0.7x + y )²

Therefore , the value of B is - ( 0.7x + y )²

Hence , the equations are solved

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If a ship sailed due south from Iceland to Antarctica, it would sail through an angel of rotation of about 140° around Earths center. Find this measure in radians. Then , using 3960 miles for earth radius, find how far the ship would travel.

Answers

Final answer:

To convert the angle in degrees to radians, multiply the angle by π and divide by 180. The ship would travel approximately 3081.23 miles.

Explanation:

To find the measure in radians, we need to convert the given angle from degrees to radians. There are 2π radians in a full circle, which is equal to 360°. Therefore, to convert 140° to radians, we can use the formula: radians = (degrees × π) / 180. Substituting the given angle, we get: radians = (140 × π) / 180 = (7π / 9) radians.

Next, to find how far the ship would travel, we need to calculate the arc length. The formula for the arc length of a circle is: arc length = radius × angle in radians. Given that the radius of Earth is 3960 miles and the angle of rotation is (7π / 9) radians, we can calculate the arc length as follows: arc length = 3960 × (7π / 9) ≈ 3081.23 miles.

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Joint-Serve Prosthetics spends 43% of its total expenses for payroll. It increased its total expenses when it spent $250,000 for robotic assemblers. This changed the allocation for payroll to 38% of total expenses. What were its total expenses after purchasing the robotic assemblers? Hint: First find the total expense before the purchase of robotic assemblers.

Answers

Answer: $2,150,000

Explanation: Let

T = Total expenses of Joint-Serve

Then, before the company acquired robotic assemblers, the expenses allocated for payroll is given by

Expenses for Payroll = 43% of Total Expenses
Expenses for Payroll = 0.43T     (1)
(Because 43% = 0.43)

Because the total expenses increased by $250,000 after spending for robotic assemblers, the total expenses = T + 250,000

So, the payroll expense is now calculated as

Expenses for Payroll = 38% of Total Expenses
Expenses for Payroll = 0.38(T + 250,000)     (2)
(Because 38% = 0.38 and total expenses = T + 250,000)

By comparing equations (1) and (2),

[tex]0.43T = 0.38(T + 250,000) \\ 0.43T = 0.38T + 0.38(250,000) \\ 0.43T = 0.38T + 95,000 \\ 0.43T - 0.38T = 95,000 \\ \frac{0.05T}{0.05} = \frac{95,000}{0.05} \\ \boxed{T = \$ 1,900,000}[/tex]

Thus, the total expense before the purchase of robotic assemblers is T = $ 1,900,000. Therefore, the total expense after purchasing the robotic assemblers is T + 250,000 = 1,900,000 + 250,000 = $2,150,000  

what is the area of a regular hexagon with a radius of 14 inches

Answers

The area of the hexagon is 678.96

The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.

Answers

Helena is correct in saying that the point-slope form will generate the equation. The point-slope form is written as:


y-y₁ = m(x-x₁), where,
m = (y₂-y₁)/(x₂-x₁) is the slope of the line
(x₁,y₁) and (x₂,y₂) are the coordinates of the two points


On the other hand, the slope-intercept form is written as:


y = mx + b, where,
m is the slope of the line
b is the y-intercept


In this case, since only two points were given, the y-intercept of the line is not readily known. Thus, it is only through the point-slope form that the equation of the line can be determined. This is because it only requires the substitution of the x and y-coordinates of the points in the equation. 
The equation of a line given two points needs to be found. Samuel claims that slope-intercept form will generate the equation and Helena claims that point-slope form will find the equation. Who is correct? Explain your reason by describing both forms.

Sample Response: Both are correct. Using either form will result in the same equation. The slope-intercept form uses slope and a point to find the y-intercept. Point-slope form uses the slope and a point to solve for y to generate the equation.

At noon a tree cast a shadow that is 40' long the distance from the top of the tree to the 1st tip of the shadow is 60' what is the height of the tree round to the nearest 100th

Answers

The Pythagorean theorem can be used for this.
.. (tip distance)² = (shadow length)² + (tree height)²
.. tree height = √((tip distance)² -(shadow length)²)
.. tree height = √((60 ft)² -(40 ft)²) = √(2000 ft²)
.. tree height ≈ 44.72 ft

Assuming that a sample (n = 504) has a sample standard deviation of 2.26, what is the upper bound of a 95% confidence interval if the sample mean is 2.96?

Answers

The upper bound would be 3.16.

We find the standard error by dividing the standard deviation by the square root of the sample size:

[tex]\frac{\sigma}{\sqrt{n}}=\frac{2.26}{\sqrt{504}}=\frac{2.26}{22.45}=0.10[/tex]

To calculate the margin of error, we multiply the standard error by 2:
0.1(2) = 0.2

For the upper bound, we add this to the mean:
2.96+0.2 = 3.16

The upper bound of a 95% confidence interval if the sample mean is 2.96 is 3.16.and this can be determined by using the formula of standard error and margin of error.

Given :

Assuming that a sample (n = 504) has a sample standard deviation of 2.26.95% confidence interval.The sample mean is 2.96.

First, evaluate the standard error by using the below formula:

[tex]\rm SE = \dfrac{\sigma}{\sqrt{n} }[/tex]

Now, put the values of n and [tex]\sigma[/tex] in the above equation in order to determine the standard error.

[tex]\rm SE = \dfrac{2.26}{\sqrt{506} }[/tex]

SE = 0.10

In order to determine the margin of error multiplies the standard error by 2.

ME = 0.1 [tex]\times[/tex] 2

ME = 0.20

Now, add the margin of error and the sample mean in order to evaluate the upper bound.

= 2.96 + 0.20b

= 3.16

The upper bound of a 95% confidence interval if the sample mean is 2.96 is 3.16.

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the sides of a rectangle are the ratio 2:5. (for every 2cm of the width, the length is 5cm) the perimeter of the rectangle is 70cm. what is the with of thr rectangle?

Answers

------------------------------------------------------------------------------------
Ratio
------------------------------------------------------------------------------------
Width : Length
    2    :   5 

Let x be the scale factor

Width : Length
    2x    :   5x

------------------------------------------------------------------------------------
Form equation and solve x
------------------------------------------------------------------------------------
Perimeter = 2(Length + Width)
70 = 2(5x + 2x)
70 = 2(7x)
70 = 14x
14x = 70
x = 5

------------------------------------------------------------------------------------
Find Length and Width
------------------------------------------------------------------------------------
Length = 5x 
Length = 5(5) 
Length = 25

Width = 2x
Width = 2(5)
Width = 10

------------------------------------------------------------------------------------
Answer: Length = 25 cm, Width = 10 cm
------------------------------------------------------------------------------------

Please Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

With which one and I can’t see the questions either

Bethany, Lauren, Amanda, and David all meet at a family reunion. They are comparing their ages. They have found that Lauren is 13 years older than Bethany and David is 11 years older than Amanda. They also found that the product of Bethany's and Lauren's ages is equal to twice Amanda's age. Also, if they subtract 20 years from both Bethany's and Lauren's age, the product is equal to David's age.

Answers

as stated in the question 
Bethany - x
Amanda - y
the relationships are 
Lauren is 13 years older than Bethany 
Laurens age = x + 13
David is 11 years older than Amanda 
Davids age = y + 11
product of Bethany's and Laurens ages equal to twice Amandas age 
x * (x+13) = 2y
x² + 13x = 2y
divide all by 2
x²/2 + 13/2x = y
if they subtract 20 from Bethany and Laurens, then product is equal to Davids age
(x-20)(x+13-20) = y +11
(x-20)(x-7) = y+11
x² -7x -20x+140 = y+11
x² -27x +129 = y

the 2 equations to determine the relationships are 
y = x²/2 + 13/2x 
y = x² -27x +129
the first option is correct 

A circle has a circumference of 361π. What is the diameter of the circle?

Answers

361pi divided by 3.14 = 114.91 which is the diameter

The formula to find circumference of circle is given by

[tex] C = 2\pi r [/tex]

Where r is radius of circle and pi =3.14

We are given Circumference here as 361π

Plugging the value in the formula :

[tex] 361\pi = 2\pi r [/tex]

r=361/2 = 180.5

radius of circle is 180.5.

We know that Diameter is double of radius.

So diameter = 2*180.5 = 361

Answer : diameter of circle is 361.

Susan is drawing a triangle. The first segment she draws is 6 centimeters in length, and the second segment is 8 centimeters long. The measure of the angle between those two segments is 80°. Which best describes the length of the third segment?
A) equal to 14 centimeters
B) less than 14 centimeters
C) greater than 14 centimeters
D) greater than or equal to 14 centimeters

Answers

The answer is B), less than 14 centimeters.

The sum of any two sides of a triangle must be larger than the third side of the triangle.  The sides we are given are 6 and 8; 6+8=14, so the third side must be smaller than 14.

Answer:

The answer is B) less than 14 centimeters

Step-by-step explanation:


2 1/4 was subtracted twice from a number; then 1/8 was subtracted three times and 2/3 was subtracted twice. The resulting number is 3 11/24 . Find the number

Answers

I would say its 9 2/3 (Hope this helped for the answer)

Answer:

9 2/3

Step-by-step explanation:

25 if answered please help

Answers

a line = 180 degrees
 so z = 180 - 124

z = 56

HELPPPPPPPPPPPPPPPPPPPPP


Write an equation of the line that passes through the points.

(2, 5), (0, 5)

Answers

Consider this option (based on algebra):
1. Common view of linear equation is y=kx+b, where k and b - numbers.
2. Substituting the coordinates of points A(2;5) and B(0;5):
[tex] \left \{ {{(A): 2k+b=5} \atop {(B): 0*k+b=5}} \right. \ =\ \textgreater \ \ \left \{ {{k=0} \atop {b=5}} \right. [/tex]
3. if k=0 and b=5, then the equation of required line is y=5.
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