An amount of $31,000 is deposited in a bank that pays interest at the rate of 4%/year, compounded annually. what is the total amount on deposit at the end of 6 years, assuming there are no deposits or withdrawals during those 6 years? (round your answer to the nearest cent.)
The total amount on deposit at the end of 6 years if an amount of $31,000 is deposited in a bank that pays interest at the rate of 4% per year, compounded annually is $38440.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
The principal amount, P = $31000,
The time, t = 6 years,
The rate of interest, r = 4% per annum,
Calculate the simple interest by the formula given below,
[tex]SI = P\times r\times t / 100[/tex]
SI = 31000 × 4 × 6 / 100
SI = $7440,
Calculate the by the formula given below,
[tex]Total \ amount = P + SI[/tex]
Total amount = $31000 + $7440
Total amount = $38440
Therefore, the total amount on deposit at the end of 6 years if an amount of $31,000 is deposited in a bank that pays interest at the rate of 4% per year, compounded annually is $38440.
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What is cultural imperialism?
the impact of a nation’s culture on its trade policies
the imposition of a foreign culture on a nation’s population
the impact of culture on people’s buying and spending habits
the spread of foreign culture through immigrants from various nations
Answer:
The correct answer is : B) the imposition of a foreign culture on a nation's population.
Step-by-step explanation:
Cultural imperialism shows the cultural aspects of imperialism that is a culture being imposed on other countries.
And imperialism can be defined as maintaining the unequal relationships between civilizations.
So, the correct answer is : B) the imposition of a foreign culture on a nation's population.
What are the slope and the y-intercept of the linear function that is represented by the table?
Answer:
The answer is D.
Step-by-step explanation:
I got it correct on my test.
Correct me if I'm wrong.
Explain why the relationship between how much steven charges and time is a promotioninal relationship
Use counters to find the quotient and remainder for 36 divide a by 8
Banks and other financial institutions sometimes calculate simple interest based on
Miranda buys 6 pounds of nuts. if she puts 3/4 pound in each bag, how many bags can she make?
Answer:
Number of bags Miranda makes equals:
8
Step-by-step explanation:
Miranda buys 6 pounds of nuts.
She puts 3/4 pound in each bag
Let she makes x bags
then total nuts in x bags=[tex]\dfrac{3}{4}x[/tex]
also total nuts must be equal to 6
i.e. [tex]\dfrac{3}{4}x=6[/tex]
Multiplying both sides by 4, we get
3x=24
Dividing both sides by 3, we get
x=8
Hence, number of bags Miranda makes equals:
8
56 books 75% decrease
Heather, Chang, and Justin served a total of 93 orders Monday at the school cafeteria. Chang served 2 times as many orders as Justin. Heather served 5 more orders than Justin. How many orders did they each serve?
Alisa hopes to play beach volleyball in the olympics someday. She has convinced her parents to allow her to set up a beach volleyball court in their backyard. A standard volleyball court is 26 feet by 52 feet. She figures she will need the sand to be one foot deep.
Sand a is 60 lbs for $5
Sand b is 150 lbs for $12
A. What's is the rate brand a is selling for? Give rate and then specify the unit rate.
B.Which brand is offering the better value? Explain.
Brand A is selling the sand at a rate of $0.0833 per pound, which is a slightly better value compared to brand B's rate of $0.08 per pound.
Explanation:A. To find the rate at which brand A is selling the sand, we need to calculate the cost per pound. The rate for brand A is $5 for 60 lbs. To find the unit rate, we divide the cost by the amount, which gives us $5 / 60 lbs = $0.0833 per lb.
B. To determine which brand is offering the better value, we compare the unit rates. Brand A has a unit rate of $0.0833 per lb, while brand B has a unit rate of $12 / 150 lbs = $0.08 per lb.
Therefore, brand A is offering a slightly better value since it has a lower unit rate.
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Write v as a linear combination of u and w, if possible, where u = (2, 2) and
w = (2, −3).
(Enter your answer in terms of u and w. If not possible, enter IMPOSSIBLE.)
v = (4, −1)
The vector v = (4, -1) can be written as a linear combination of the vectors u = (2, 2) and w = (2, -3). The coefficients are both 1, which means that v = u + w.
Explanation:In this problem, we are trying to express the vector v = (4, -1) as a linear combination of the vectors u = (2, 2) and w = (2, -3). A linear combination means that we want to find coefficients a and b such that a*u + b*w = v.
Setting that equation up, we have:
a(2, 2) + b(2, -3) = (4, -1).
This leads to two equations:
2a + 2b = 4 and 2a - 3b = -1.
After solving this system of equations, we find that a = 1 and b = 1. Therefore, the vector v can be written as a linear combination of u and w as v = u + w.
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V can be written as v=u+w.
To express v as a linear combination of u and w, we need to find scalars a and b such that:
v = a * u + b * w
Given: u = (2, 2), w = (2, -3), and v = (4, -1)
We can set up the following system of equations based on the components:
2a + 2b = 4 (Equation 1 from x-components)
2a - 3b = -1 (Equation 2 from y-components)
Solving Equation 1 for 'a':
2a + 2b = 4
a + b = 2
a = 2 - b
Substituting 'a' in Equation 2:
2(2 - b) - 3b = -1
4 - 2b - 3b = -1
4 - 5b = -1
-5b = -5
b = 1
Substituting 'b' back into a = 2 - b:
a = 2 - 1
a = 1
Thus, v can be written as:
v = 1 * u + 1 * w
So, v = u + w
Find the quotient 5/18 divided by 2/6
To divide fractions, multiply the first fraction by the reciprocal of the second fraction and simplify if possible.
Explanation:To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is found by switching the numerator and denominator. So, to divide 5/18 by 2/6, we will multiply 5/18 by 6/2.
First, we cancel out any common factors between the numerators and denominators:
5/18 * 6/2 = (5 * 6)/(18 * 2) = 30/36.
Now, we can simplify 30/36 by finding the greatest common divisor (GCD) of 30 and 36, which is 6.
Dividing both the numerator and denominator of 30/36 by 6, we get the final quotient of 5/6.
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Katie earned $1200 in 8 years on an investment at a 6% annual simple interest rate. How much was Katie’s investment?
$945
$2500
$4500
$9000
Paula completely covered a square wall using 87.5 ft2. Which is the side length of the wall?
What is the value of 4 in the number 358.547? please help!!!!!
A) 0.0004
B) 0.004
C) 0.04
D) 4
Which choice solves the problem?
1467÷7=
A) 27
B) 29 with a remainder of 4
C) 207 with a remainder of 4
D) 209 with a remainder of 4
Bailey’s horse is growing fast. She ate 2 scoops of feed in the morning, 4 scoops in the afternoon and 3 scoops at night. She did this all week long. How many scoops of feed did Bailey’s horse eat over the course of the week?
A) 2 x 3 x 4
B) 2 x (3 + 4)
C) 2 + 3 + 4 + 7
D) (2 + 3 + 4) x 7
What is the correct solution for the arithmetic expression 2+8/2*9/3 using the order of operations employed by oracle10g when solving equations?
Arithmetic expressions involve several arithmetic operations
The correct solution of [tex]\mathbf{2 + \frac 82 \times \frac 93}[/tex] is 14
The expression is given as:
[tex]\mathbf{2 + \frac 82 \times \frac 93}[/tex]
Divide 8 by 2
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 2 + 4 \times \frac 93}[/tex]
Divide 9 by 3
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 2 + 4 \times 3}[/tex]
Multiply 4 by 3
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 2 + 12}[/tex]
Add 2 and 12
[tex]\mathbf{2 + \frac 82 \times \frac 93 = 14}[/tex]
Hence, the correct solution of [tex]\mathbf{2 + \frac 82 \times \frac 93}[/tex] is 14
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Alex has 48 stickers. This is 6 times the number of stickers max has. How many many stickers does max have?
Which of the following are valid names for the given triangle below? Check all that apply.
Answer:
Triangle LMZ
Triangle MLZ
Triangle ZML
Step-by-step explanation:
Option A,B and E are all the valid names.
The valid names of the triangle are those that has all the angles withing. The angles are Angle l, M and Z.
C and D are not angles, so any triangle cannot be formed using these.
Hence, the valid triangles here are:
Triangle LMZ
Triangle MLZ
Triangle ZML
Answer:
LMZ,ZML,MLZ
Step-by-step explanation:
The cost of having a package delivered has a base fee of $9.70. Every pound over 5 lbs cost an additional $0.46 per pound. Write a linear model that represents the cost, C, for the total weight, w, in pounds of the package. Assume w > 5 lbs.
a. C = 9.7w + 0.46
b. C = 0.46w + 12
c. C = 0.46w + 9.7
d. C = 0.46(w - 5) + 9.7
Answer:
d. C=0.46(w-5)+9.7
Step-by-step explanation:
the cost of having a package delivered has a base fee of $9.70, that means that independently of the pounds of the package, the cost is always going to be $9.70
Then, there is an additional cost, that just count if the package have more than 5 lbs. Every pound over this 5 lbs, cost $0.46 per pound. So, the additional cost is:
0.46*(w-5)
Where (w-5) are the number of pound that over 5 lbs.
Finally the total cost is the sum of the base cost and the additional cost, that can be written as:
C=0.46*(w-5)+9.7
Answer:
It is D.
Step-by-step explanation:
took the assessment.
How many ways can a person with five nickels, three dimes, and two quarters make a 75-cent purchase from the machine?
Point A has a _____ abscissa and a _____ ordinate.
positive, negative
negative, positive
negative, negative
positive, positive
Answer:
Negative,Positive
Step-by-step explanation:
The coordinate geometry, plane is divided into four parts and each part is known as quadrant. The abscissa denotes the point lies on X- axis whereas ordinate denotes the point on Y-axis.
Since the point A lies in second quadrant. In second quadrant, abscissa is negative and ordinate is positive because here x lies to left of x axis and y lies to right of y axis.
Thus, the correct answer is option (2)
In the diagram, what is the value of x
The sum of angles on a straight line is 180degrees. The measure of the value of x from the figure is 98degrees
Sum of angle on a straight lineThe measure of angles 82 degrees and the unknown are on a straight line, Since the sum of angles on a straight line is 180degrees, hence;
x + 82 = 180
Subtract 82 from both sides
x + 82 - 82 = 180 - 82
x = 180 - 82
x = 98 degres
Hence the measure of the value of x from the figure is 98degrees
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Identify the slope and y-intercept of the graph of the equation. y = 1/4x + 3
A slope: 1/4 ; y-intercept: 3
B slope: 1/4; y-intercept: –3
C slope: 4; y-intercept: 3
D slope: 4 ; y-intercept: –3
Final answer:
The slope of the equation y = 1/4x + 3 is 1/4 and the y-intercept is 3, corresponding to option A: slope: 1/4 ; y-intercept: 3.
Explanation:
To identify the slope and y-intercept of the equation y = 1/4x + 3, we can compare it to the general form of the slope-intercept equation for a line, which is y = mx + b. In this form, m represents the slope of the line, and b represents the y-intercept of the line. Thus, looking at the given equation, the coefficient of x (which is 1/4) is the slope, and the constant term (which is 3) is the y-intercept.
The correct answer is:
Slope: 1/4Y-intercept: 3Therefore, the answer is option A: slope: 1/4 ; y-intercept: 3
solve 3m+7/2=−2m+5/2 what is m
Answer:
-2/5
Step-by-step explanation:
3m + 7/2 = -2m + 5/2
3m + 7 = -2m + 5
5m = -2
m = -2/5
In circle Y, what is m∠SZT? 86° 94° 108° 128°
Answer:
It's 94
Step-by-step explanation:
What is the slope, m, and the y-intercept of the line that is graphed below?
Answer: The correct option is
(A) m = 1; (0, 3).
Step-by-step explanation: We are given to find the slope, m, and the y-intercept of the graphed line.
We know that
the slope of a line passing through the points (a, b) and (c, d) is given by
[tex]m=\dfrac{d-b}{c-a}.[/tex]
From the graph, we note that the line passes through the points (-3, 0) and (-1, 2).
Therefore, the slope of the graphed line will be
[tex]m=\dfrac{2-0}{-1-(3)}=\dfrac{2}{2}=1.[/tex]
Also, at x = 0, the value of the y-coordinate is 3. So, the y-intercept of the line is (0, 3).
Thus, the slope, m = 1 and the y-intercept is (0, 3).
Option (A) is CORRECT.
whats the cubed root 64/343
Let k(t) be a measure of the knowledge you gain by studying for a test for t hours. which do you think is larger, k(8) − k(7) or k(3) − k(2)
To determine which is larger between k(8) - k(7) and k(3) - k(2) , compare the specific values. If the graph of k(t) is concave upward, studying more hours yields a larger knowledge increase.
To determine which is larger between k(8) - k(7) and k(3) - k(2) , and to understand the concavity of the graph of k(t) , consider the following:
1. Larger Increase in Knowledge:
- Evaluate k(8) - k(7) and k(3) - k(2) .
- If k(8) - k(7) is greater, it implies that studying for an additional hour (from 7 to 8 hours) provides a larger increase in knowledge than studying for an hour from 2 to 3 hours.
2. Concavity of the Graph:
- If k''(t) > 0 (second derivative is positive), the graph is concave upward.
- If k''(t) < 0 (second derivative is negative), the graph is concave downward.
3. Reasoning for Concavity:
- If the graph is concave upward, it suggests that the rate of knowledge gain is increasing. Studying more hours leads to a larger increase in knowledge.
4. Final Answer:
- The comparison between k(8) - k(7) and k(3) - k(2) depends on the specific function k(t) . As for concavity, if the graph is concave upward, studying more hours yields a larger increase in knowledge.
In summary, compare the specific values k(8) - k(7) and k(3) - k(2) and analyze the concavity of the graph to determine the relationship between studying hours and knowledge gain.
Question. Let k(t) be a measure of the knowledge you gain by studying for a test for t hours, . Which do u think is larger, k(8)-k(7) or k(3) - k(2) ? is the graph of k concave upward or concave downward? why?
A rectangular floor is 5 yards long and 4 yards wide. What is the area of the floor in square feet?
Final answer:
To calculate the area of the floor in square feet, the dimensions in yards are first converted to feet (1 yard = 3 feet), and then the length and width in feet are multiplied to get the area (15 feet x 12 feet = 180 square feet).
Explanation:
The student is asking about the area of a rectangular floor in square feet when the dimensions given are in yards. To find the area of the floor, we first convert the measures from yards to feet, knowing that 1 yard equals 3 feet. Therefore, the rectangular floor measures 5 yards long (which is 5 x 3 = 15 feet long) and 4 yards wide (which is 4 x 3 = 12 feet wide).
Now we can calculate the area by multiplying the length by the width. The area in square feet is thus 15 feet x 12 feet = 180 square feet.
estimate the answer to: 3772 divided by 44