The answer is for the equation...
V/(1+rt)
It is written as a fraction... and the V goes on top and the (1+rt) goes on the bottom. Make sure that the V is a capital.
Then the amount of principal is 2,307.69
Using the formula given, we find that:
a) The solution for p is [tex]p = \frac{V}{1 + rt}[/tex]b) The principal will be of $2,307.69.------------------
Item a:
The future value formula is given by:
[tex]V = p + prt[/tex]
Solving for p:
[tex]p + prt = V[/tex]
[tex]p(1 + rt) = V[/tex]
[tex]p = \frac{V}{1 + rt}[/tex]
------------------
Item b:
6% interest means that [tex]r = 0.06[/tex]Amount of $3000 means that [tex]V = 3000[/tex]5 years means that [tex]t = 5[/tex]The principal is:
[tex]p = \frac{V}{1 + rt} = \frac{3000}{1 + 5(0.06}} = 2307.69[/tex]
The principal will be of $2,307.69.
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What is the remainder of 4^31 when divided by 10
Final answer:
The remainder of 4^31 when divided by 10 is 4, determined by examining the repeating last-digit pattern of powers of 4.
Explanation:
To find the remainder of 4^31 when divided by 10, we can use the concept of powers and properties of numbers related to modulo arithmetic. Specifically, we look at the last digit pattern that emerges when calculating powers of 4, since the remainder when dividing by 10 depends solely on the final digit of the number.
The powers of 4 have a cycle: 4^1 ends with 4, 4^2 ends with 6, 4^3 ends with 4 again, and so on. This cycle repeats every two powers, so we only need to consider the power of 4 modulo 2 to determine the last digit of 4^31. Since 31 is an odd number, we know that 4^31 will end with a 4. Hence, the remainder of 4^31 divided by 10 is 4.
whats 10 minutes plus 7minutes plus 48minutes plus 1 hour and 29 minutes equal?
Answer: 2 hours and 34 minutes
Step-by-step explanation:
10 minutes plus 7 minutes plus 48 minutes plus 60 minutes plus 29 minutes equals 154 minutes. 154 minutes equals 2 hours and 34 minutes.
The map scale is 1in: 40 miles . the distance on the map is 3.5 inches . what is the actual distance
what is the square root of 49
An athlete eats
60
grams of protein per day while training. How much is this in milligrams?
Be sure to include the correct unit in your answer.
The range for a set of data is estimated to be 36.
a. what is the planning value for the population standard deviation?
The planning value for the population standard deviation can be found by dividing the range by 4.
Explanation:To estimate the population standard deviation, we can use the planning value formula. The planning value for the population standard deviation is equal to the range divided by 4. Thus, in this case, if the range is estimated to be 36, the planning value for the population standard deviation would be 9.
least common denominator of 3/s and -3/6s
Tom usually earns $40.85 per hour. he has a 6% pay raise. which keys must he press on his calculator?
"+" & "=" button key Tom will press in the calculator.
What is multiplication?The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the components that are multiplied are referred to as the factors.
To calculate Tom's pay raise, he can perform the following calculation on his calculator:
= 40.85 x 0.06
= 2.4510
So Tom's pay raise is $2.45 per hour.
To calculate Tom's new hourly rate, he can perform the following calculation:
= 40.85 + 2.45
= 43.30
So Tom's new hourly rate is $43.30.
Here is how the calculation can be done on most calculators:
Enter 40.85 and then press the "+" button.
Enter 2.45 and then press the "=" button.
The result should be 43.30, which is Tom's new hourly rate with a 6% pay raise.
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Suppose you have 74 feet of fencing to enclose a rectangular dog pen. The function a=37x-x2, where x = width, gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area? Round to the nearest tenth as necessary
Answer: width = 18.5 ft; area = 342.3 ft2
Step-by-step explanation:
you plug in the width with the function , where ever there is an x replace it with the width for the maximum area
If 5x + 5 =25 + 3x then x = ? (im in pre algebra)
To solve the equation 5x + 5 = 25 + 3x, subtract 3x from both sides, subtract 5 from both sides, and divide by 2 to find x = 10.
Explanation:To solve the equation 5x + 5 = 25 + 3x, you need to isolate the variable x. First, subtract 3x from both sides of the equation to combine like terms: 5x - 3x + 5 = 25. Simplify: 2x + 5 = 25. Next, subtract 5 from both sides of the equation to isolate the variable: 2x = 20. Finally, divide both sides of the equation by 2 to solve for x: x = 10.
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How do you solve cot^2x + cscx= 1
(0,2pi)
If a set of data is in the direction of a downward line, which of the following would be the best model for this data?
Quadratic regression model
Exponential regression model
Linear regression model
None of the above
What is the result of dividing 2x3+6x2+6x+22x3+6x2+6x+2 by x+1x+1 ? A")2x2+4x+102x2+4x+10
B) 2x2+4x+22x2+4x+2
C:)2x2+6x+22x2+6x+2
D)2x2+6x+12
Answer:
[tex]2x^2+4x+2[/tex]
Step-by-step explanation:
[tex]2x^3+6x^2+6x+2[/tex] divide by x+1
Divide the first term of numerator by the first term of denominator and put it at the top. then multiply the answer by x+1 . write the expression at the bottom and subtract it. Repeat the process till we get remainder.
[tex]2x^2+4x+2[/tex]
-------------------------------------------------------
[tex]x+1[/tex] [tex]2x^3+6x^2+6x+2[/tex]
[tex]2x^3+2x^2[/tex]
-----------------------------------------(subtract)
[tex]4x^2+6x[/tex]
[tex]4x^2+4x[/tex]
-------------------------------------------Subtract
[tex]2x+2[/tex]
[tex]2x+2[/tex]
------------------------------------------Subtract
0
Melanie made 72 peanut butter cookies and oatmeal cookies. She wants to make identical groups of cookies for her friends. Each group will be as large as possible, and she will use all of the cookies. How many cookies will each friend receive? Explain. Please help me
The length of the base of a triangle is twice its height. if the area of the triangle is 100 square kilometers, find the height.
What classification best represents a triangle?
Would x + x + x +x be 4 or 4x?
Answer:
x+x+x+x = 4x.
Step-by-step explanation:
x + x + x + x can represent 4x since there are 4 x’s. Those 4 x’s represent x being multiplied by 4, since there are 4 x’s.
Therefore, your answer is 4x.
brainiest to best answer!
The deepest part of the Mariana trench (the deepest trench in the world’s oceans) is at an elevation of -11.033 kilometers. The elevation of the deepest part of the Atacama trench is -8.065 kilometers. What is the net change in elevation from the Atacama trench to the Mariana trench?
19.098 kilometers
2.968 kilometers
-2.968 kilometers
-19.098 kilometers
The net change in elevation from the Atacama trench to the Mariana trench is 2.968km.
What is the net change in elevation from the Atacama trench to the Mariana trench?
We know that the deepest part of Mariana trench is at -11.033 km, while the deepest part of the Atacama trench is -8.065km.
To find the net change, we need to find the difference between the largest value and the smallest value.
So we get:
D = -8.065km - (-11.033 km) = 2.968km
Then the correct option is the second one.
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Jonah and his friends went to the movie theater. He bought a movie ticket, and he split the cost of a giant popcorn with his friends. Jonah's costs are represented by the expression 11+15/x . What do the different parts of the expression model? Drag the parts of the expression into the boxes to match each description. Cost of movie ticket Total cost of popcorn Jonah's portion of popcorn cost
Answer:
Cost of movie ticket = 11
Total cost of popcorn = 15
Jonah's portion of popcorn cost = 15/x
Step-by-step explanation:
1. I
2. Took
3. The
4. Test
The area of a rectangle is 24 square cm. the length of the rectangle is 8 cm. find the perimeter
In a rhombus, which of the following are always equal? Select all that apply.
opposite angles
diagonals
opposite sides
consecutive angles
60 POINTS!!
What are the missing parts that correctly complete the proof?
the guy below/above is correct
A rectangle has a length of 8 cm and breadth 6cm . What is the perimeter in cm of the rectangle
Given the functions f(x) = 2x −1 and g(x) = 2x + 4, which operation results in the largest coefficient on the x term? addition subtraction multiplication two operations result in the same coefficient
15 - (-3) - 4
-16
22
-8
14
Daniel mows lawns on the weekend. He graphed his earnings below. What is the rate he charges to mow? A. $15.00 per lawn B. $7.50 per lawn C. $60.00 per lawn D. $1.50 per lawn
To determine Daniel's rate per lawn mowing, we would need to divide his total earnings by the total number of lawns mowed. The answer can also be found by evaluating the slope of a graph with earnings on the y-axis and lawns mowed on the x-axis as the slope would represent his earnings per mow.
Explanation:Without the graph provided, we can't determine the exact answer to this problem. However, conceptually, Daniel's rate per lawn would be calculated by dividing the total amount he earned by the total number of lawns he mowed. For example, if he earned $60 from mowing 4 lawns, his rate would be $15 per lawn.
To find the answer using a graph, you would need to evaluate the slope of the line if the y-axis represents earnings and the x-axis represents lawns mowed. The slope of the line provides the rate, which is Daniel's earnings per mow.
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Simplify 5(a - b) + 6(a + b) - 7(a - 2b)
PLEASE HELP!!!
WILL GIVE BRAINIEST TO FIRST ANSWER
Which of the following inequalities is graphed on the coordinate plane?
A. y > 1/2x - 1/2
B. y is less than or equal to 1/2x - 1/2
C. y is greater than or equal to 1/2x - 1/2
D. y < 1/2x - 1/2
Answer:
Option C
Step-by-step explanation:
Equation of any line is of the form y=mx+b where m is the slope and b the y intercept.
The given line has y intercept [tex]\frac{-1}{2}[/tex] and slope as [tex]\frac{1}{2}[/tex]
Hence equation of given line is :
[tex]y= \frac{1}{2}x-\frac{1}{2}[/tex]
Taking point (0,0) to check the inequality we have:
0≥[tex]\frac{-1}{2}[/tex]
The statement is true so option C [tex]y\geq \frac{1}{2} x-\frac{1}{2}[/tex] is right .
Graph the equation 5x+2y=10
Find the slope of a line parallel to the line through the given points. P(-2, 4), Q(6, -2) 4/3 3/4 -3/4
Answer:
Option 3 - [tex]m=-\frac{3}{4}[/tex]
Step-by-step explanation:
Given : P(-2, 4), Q(6, -2)
To find : The slope of a line parallel to the line through the given points?
Solution :
First we find the slope of the line passes through given points P(-2, 4), Q(6, -2)
The slope formula is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-2-4}{6-(-2)}[/tex]
[tex]m=\frac{-6}{8}[/tex]
[tex]m=-\frac{3}{4}[/tex]
When two lines are parallel then there slope are equal.
Therefore, The slope of a line parallel to the line through the given points is
[tex]m=-\frac{3}{4}[/tex]
So, Option 3 is correct.