Answer:
You have to invest $5,020.71 to have $6,000 in 4 years 3 months at 4 1\5% annual interest, compounded monthly.
Step-by-step explanation:
Let the principal be x
Amount = $6000
Time = 4 years 3 months = [tex]4 years +\frac{3}{12} years = 4.25 years[/tex]
Rate of interest = [tex]4 \frac{1}{5}\% = \frac{21}{5}\%[/tex]
No. of compounds per year = 12
Formula:[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
[tex]6000=P(1+\frac{21}{500 \times 12})^{12 \times 4.25}[/tex]
[tex]\frac{6000}{(1+\frac{21}{500 \times 12})^{12 \times 4.25}}[/tex]=P
P=$5,020.71
Hence You have to invest $5,020.71 to have $6,000 in 4 years 3 months at 4 1\5% annual interest, compounded monthly.
what is 9x10 and what is 3x10?
Answer:
90 and 30
Step-by-step explanation:
Answer:90 and 30
Step-by-step explanation:
9x10=90
3x10=30
The diameter of a circle is 8 kilometers. What is the circle's circumference?Use 3.14 for
Circumference: pi x diameter
8 x 3.14 = 25.12
Therefore, the circumference of the circle is 25.12 kilometers.
The circumference of a circle with a diameter of 8 kilometers is 25.12 kilometers.
Explanation:The formula to calculate the circumference of a circle is C = πd, where d is the diameter. In this case, the diameter is given as 8 kilometers. So, we can substitute this value into the formula:
C = 3.14 x 8 = 25.12 kilometers
Therefore, the circumference of the circle is 25.12 kilometers.
Learn more about Circumference of a circle here:https://brainly.com/question/31844715
#SPJ3
What are the solutions to (x+7) squared = 81
Answer:
x=2
Step-by-step explanation:
- Take the square root of both sides of the equation so that we can get rid of the squared on the x+7
- The square root of 81 is 9
- so now, the equation is x+7=9
- subtract seven from both sides
Find equivalent expressions
Answer:
RELATED
How to Multiply Fractions With Common Denominators
Updated April 24, 2017
By Pharaba Witt
Algebra strikes fear in the hearts of many both grown and still in school. Finding equivalent expressions is not as complicated or as daunting as you might think. It comes down to taking the distributive property and working with it to find another way to say the same thing, mathematically.
Using Distributive Property
Start with an algebraic expression. Using the example 2x(3y + 2) will make it easier to walk through the process.
Distribute the multiple 2x throughout the rest of the equation. This means multiplying 2x by 3y and by 2. Multiply 2x and 3y and you get 6xy. Multiply 2x by 2 and you get 4x.
Complete the equation by putting it back together. This means taking the two new numbers and keeping the function in the middle the same: 6xy + 4x. This is your equivalent expression. You can write the two expressions to show equality: 2x(3y + 2) = 6xy + 4x.
Using Factoring
Identify the common factors in the parts of the equation. Breaking down the equation might be necessary to find an equivalent expression. If you were given the expression 6xy + 4x, you would need to work it the other direction by taking out the common numbers. In this case both numbers are divisible by 2.
Take out the first common number: 2(3xy + 2x). Now you see there is still another common factor, x.
Take out additional common factors: 2x(3y + 2). This gives you the equivalent expression. Again you end with 6xy + 4x = 2x(3y + 2).
Step-by-step explanation:
can someone help me pls
Answer:
from least to greatest 112 121 124 137 147 156 173 189
Step-by-step explanation:
if you subtract each number from a number that is greater than all the numbers for example 200 then what ever has the most left will be greatest and least will be least for example 121 - 200 is negative 79 and 189 - 200 is negative 11 negative 11 is higher so its a greater number there is also easier ways to do this but this is just extra
Explanation:
Step 1) Put the numbers in order from smallest to biggest. That order would be {112, 121, 124, 137, 147, 156, 173, 189}
Step 2) There are 8 items in the list above. This is an even number of values. The middle most number is tied between 137 and 147 (slots 4 and 5). Average these two values to get (137+147)/2 = 284/2 = 142. The number 142 is exactly halfway between 137 and 147.
The correlation coefficient that models the relationship between the amount of time Jason spends working out and the amount of weight he loses is −0.9547. What is the correct interpretation of this number?
Answer:
The correlation coefficient is close to -1. There is a strong negative correlation between the amount of time spent working out and the amount of weight lost.
Step-by-step explanation:
I did it on USATestprep. -0.9547 is close to -1. This indicates a strong negative correlation. When the workout time increases, Jason's weight decreases.
Final answer:
The correlation coefficient of -0.9547 indicates a strong and inverse relationship between the amount of time Jason spends working out and the amount of weight he loses.
Explanation:
The correlation coefficient that models the relationship between the amount of time Jason spends working out and the amount of weight he loses is -0.9547. This negative correlation coefficient indicates a strong and inverse relationship between the two variables. It means that as the amount of time Jason spends working out increases, the amount of weight he loses decreases.
Micaiah places coins in the order of penny, nickel, dime, penny, nickel, dime, and so on, as shown, so that each row contains one more coin than the previous row. What is the total value in cents of all coins in the 12th row?
Answer: 64 total cents in the 12th row
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
There is 64 total cents in the 12th row. We can figure this out by adding a nickel, a dime, and a penny. So, this gives us 1 + 5 + 10, which equals 16. The 12th row consists of 4 sets of 3 consecutive coins, so we take 16 and multiply it by four. So the final answer is 64.
Fill in the blanksFor any line graphed on a coordinate plane, similar prove that the slope of the line is the same between any pair of points that lie on the line.
Blank 1
Squares, right triangles , or circle
Blank 2
never ,sometime, always
Answer: right triangles
always
Step-by-step explanation:
Answer:
right triangles
Always
Step-by-step explanation:
Slope is rise/run which is the same for all two points on the line. The right triangles are formed using two points on the line
A local bakery has a daily operating cost of $1800 plus a cost of $10 per cake
they make. If a cake sells for $15, which equation could be used to determine the
minimum number of cakes, c,they must sell each day to earn a profit? *
A. 15c < 1,800 + 10c
B. 15c > 1,800 + 10c
C. 10c < 1,800 + 15c
D. 10c > 1,800 + 15c
Answer:
B. 15c > 1,800 + 10c
Step-by-step explanation:
Profit=Total revenue - total cost
Profit is achieved:
when total revenue is greater than total cost
TR>TC
Or
When total cost is less than total revenue
TC<TR
From the question
Total cost=1800+10c
Total revenue=15c
Profit=TR>TC or TC<TR
15c>1800+10c
Or
1800+10c<15c
Option B. 15c > 1,800 + 10c satisfies the condition that Profit=TR>TC
Answer:
B. 15c > 1,800 + 10c
Step-by-step explanation:
The local bakery has an operating cost of $1800 plus a cost of $ 10 per cake produced. The operating cost is the expenses required to run the business. This is the amount required to keep the bakery company in existence. To make a profit, the sales each day must surpass the operating cost.
Since they sell only cakes , the sales of cakes for that day should surpass the operating cost for that day in order for them to make gain
operating cost = 1800 + 10c
where
c = number of cakes sold each day
The price for each cake = $15 . The sales for each day will be 15 × c(the number of cake sold) which should be greater than the operating cost 1,800 + 10c for them to make profit.
15c > 1,800 + 10c
How do i graph y=x+2, y=2,x=4
Answer:to graph y=2 go to the y axis and go to positive 2 and make a horizontal straight line. And to graph x=4 go to the x axis and go to positive 4 and make a vertical straight line.
and to graph y=x+2 make a dot on (0,2) and (-2,0) then make a line thru them using a ruler or straight object. (also i seriously recommend using desmos to graph online its super easy to use :) )
Answer:
Please just give me points
Step-by-step explanation:
I really need points so plss someone give some!
I need to learn how to write algebraic equations. For example:
Three less than sixty divided by a number is twenty-three
Answer:
(60-3)/n = 23
Step-by-step explanation:
You randomly draw a marble from a bag, record its color, and then replace it. You draw a green marble 19 out of 50 times. What is the experimental probability that the next marble will be green? Write your answer as a fraction, decimal, or percent.
Final answer:
The experimental probability of drawing a green marble next based on past draws is 19 out of 50, which can also be represented as 0.38 or 38%.
Explanation:
The question asks about the experimental probability of drawing a green marble from a bag given prior outcomes. To find the experimental probability, you divide the number of times the event of interest (drawing a green marble) occurred by the total number of trials. In this case, a green marble was drawn 19 times out of 50 total draws.
Therefore, the experimental probability is 19/50. This can also be expressed as a decimal, 0.38, or as a percent, 38%.
ABCD is a parallelogram.
E is the point where the diagonals AC and BD meet. Prove that triangle ABE is congruent to triangle CDE.
To prove that triangle ABE is congruent to triangle CDE, we can use the SAS (Side-Angle-Side) congruence criterion by establishing that AB = CD and AE = EC, and angle BEA is common to both triangles.
Explanation:We can use the SAS (Side-Angle-Side) congruence criterion to prove triangle ABE is congruent to triangle CDE.
First, note that since ABCD is a parallelogram, opposite sides are parallel and congruent, so AB = CD.
Next, since the diagonals of a parallelogram bisect each other, we have AE = EC and BE = ED.
Finally, since AE = EC and AB = CD, we have two pairs of congruent sides and the included angle BEA is common to both triangles. Therefore, by the SAS criterion, triangle ABE is congruent to triangle CDE.
Learn more about Parallelogram Diagonals Intersection here:https://brainly.com/question/33851106
#SPJ3
Triangles ABE and CDE are congruent by the SSS criterion, as in parallelogram ABCD the opposite sides are equal and diagonals bisect each other, making the corresponding sides of the triangles equal.
To prove that triangle ABE is congruent to triangle CDE in a parallelogram ABCD, where point E is the intersection of diagonals AC and BD, we can use the properties of parallelograms and the concept of congruent triangles.
First, in parallelogram ABCD, opposite sides are equal, hence AB = CD, and AD = BC. Also, diagonals of a parallelogram bisect each other, so AE = CE, and BE = DE. By the Side-Side-Side (SSS) criterion for congruence of triangles, if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
Thus, in triangles ABE and CDE:
AB = CD (opposite sides of a parallelogram are equal)AE = CE (diagonals bisect each other)BE = DE (diagonals bisect each other)Since all three corresponding sides of triangle ABE are equal to the corresponding sides of triangle CDE, by the SSS criterion, triangle ABE is congruent to triangle CDE.
Mr. Alvarez makes a walkway out of three summer slabs he uses 14 ft.³ of cement to make the walkway each square slab has a volume of 4 ft.³ how many cubic feet of cement is the middle slab
Answer:
6 ft³
Step-by-step explanation:
In this case, there are two square slabs and a rectangular cement slab in the middle. If each of the square slabs has a volume of 4 ft.³ and all three slabs have a total volume of 14 ft.³, then the middle slab has a volume of:
[tex]V = 14 - 4 -4\\V=6ft^3[/tex]
The middle slab has a volume of 6 ft³.
Answer:
6
Step-by-step explanation:
cuse i just got it right on iready
Can someone help me with this! It would be much appreciated!!
Answer:
1. parallelogram
2. trapezoid
3.rectangle
4. parallelogram
5. trapezoid
6. rhombus
7.rectangle
8. rhombus
i need help with this thank you in advance
Answer:
The answer is D.
Explanation:
(70)^ 1/2 = 8.366600265
√70 = 8.36600265
there are 3 basketball leagues.Each league has 8 teams.each team has 13 players.how many players are in all 3 leagues?
a.200
b.312
c.450
d.150
Answer:
312
Step-by-step explanation:
its easy
-10+16÷(-2)+7
please help!
How many solutions can be found for the linear equation?
(3x +12) - 1 - (4x + 16)
A)no solutions
B)one solution
C)two solutions
D)infinitely many solutions
Follow the steps below to choose an equivalent expression for 15n – 20 using the distributive property. Use the work below to help you. 1. Find the GCF of the terms. The GCF of 15n and 20 is 5. 2. To factor out the GCF, divide each term in the expression by the GCF. 15n ÷ 5 = 3n and 20 ÷ 5 = 4 Which expression is equivalent to 15n – 20? 2(8n – 6) 6(2n – 9) 5(3n – 4) 5(4n – 3)
Answer:
c
Step-by-step explanation:
Answer:
c hope this helps!
AC =
Round your answer to the nearest hundredth.
65
Answer:2.96
Step-by-step explanation:
1114.666666666 rounded to the nearest hundred
Answer:
1,114.67
Step-by-step explanation:
Answer:
1114.67
Step-by-step explanation:
Just yeah... It's right..
A system of equations consists of two lines. One line is represented by the equation y - 6 = 2x and the other line is represented by the equation y = 2(x+1) + 4. What can you determine about the solution(s) to this system?
a) One Solution (-2, 1)
b) No Solution
c) An Infinite Number of Solutions
d) One Solution (2,8)
Answer:
c) An Infinite Number of Solutions
Step-by-step explanation:
y - 6 = 2x
y = 2(x+1) + 4.
Solve the first equation for y
y = 2x+6
Set the two equations equal
2x+6 = 2(x+1) +4
Distribute
2x+6 = 2x+2+4
2x+6 = 2x+6
Subtract 2x from each side
6 = 6
This is always true so there are infinite solutions
The rectangle below was enlarged using a scale factor.
A rectangle with width 1.6 centimeters is enlarged to a rectangle with length 25 centimeters and width 8 centimeters.
What is the area of the original rectangle?
8 cm²
20 cm²
25 cm²
40 cm
Answer:
A. 8 cm²
Step-by-step explanation:
You can find the length of the original rectangle with ratios:
1.6 : x
8 : 25
Using this, we get:
25/(8/1.6)=x
25/5=x
x=5
Then we multiply length by width.
5*1.6=8
The original rectangle had an area of 8 cm²
The area of the original rectangle is 40 cm².
Explanation:To find the area of the original rectangle, we need to know its original length. Since we are given the width and scale factor, we can calculate the original length. If the new width is 8 cm and the scale factor is 25/1.6, then the original length would be 1.6 × (25/1.6) = 25 cm. Therefore, the area of the original rectangle is length × width = 25 cm × 1.6 cm = 40 cm².
Learn more about Area of Rectanglehttps://brainly.com/question/2607596
#SPJ13
Consider the sphere
Identify the parts of a sphere,
a is the
b is the
c is the
d is the
Dons
Answer:
A is the great circle
B is the diameter
C is the radius
D is the center
Step-by-step explanation:
Answer:
look at explanation :)
Step-by-step explanation:
Identify the parts of a sphere.
a is the great circle
b is the diameter
c is the radius
d is the center
Tyrone claims that the first step to simplify this expression is to raise the numerator and denominator to the third power. Alisha claims that the first step to simplify is to apply the quotient of powers. Who is correct? Explain. (StartFraction m squared n Superscript negative 3 Baseline Over m Superscript 6 Baseline n Superscript negative 1 Baseline EndFraction) cubed
Answer:
Sample Response: Both are correct. Either rule applied first will have the same result. Both rules will be used either way, and the order in which they are applied does not matter as long as they are applied correctly at each step.
plz thank if you learned
Be sure to make it into your own words so that it is not the same.
Alisha is correct; one should apply the quotient of powers rule by subtracting the exponents of the numerator and the denominator before cubing the expression. The simplified form is then found by raising the result to the third power, multiplying the exponents by three.
Explanation:Between Tyrone's and Alisha's claims, Alisha's approach is correct. The expression to simplify is ((m2n-3)/(m6n-1))3. According to the rules for dealing with exponents, when you have a fraction being raised to a power, you apply the quotient of powers rule before cubing the entire expression. This means that you first subtract the exponents within the numerator and the denominator before raising the simplified result to the third power.
The correct steps are as follows:
Staceys family is moving from Seattle, Washington to Houston, Texas. The distance from Seattle to Houston is 2,430. They have decided to drive 220 miles before lunch and 185 miles after lunch during each day of travel. What is the number of days they will they need to travel from Seattle to Houston.
Answer:
6 days :D
Step-by-step explanation:
So first you need to find out how much they drive each day : 185+220=405
Then you divide 405 with 2430 to find out how many days they need to travel..which is 6.
Francesca's window store made a mosaic for the community center. The mosaic had a 6 × 6 array of different color square tiles. If each tile is 2 1 4 ft long, what is the area of the whole mosaic?
The correct value of the length of a side = 2¼ ft
Answer:
area of the whole mosaic = 182.25 ft²
Step-by-step explanation:
We are told it has a 6 x 6 array of different colour square tiles.
Which means it has 6 x 6 = 36 square tiles.
Area of square = L²
Where L is length of side
Now, since length of one tile is 2¼ ft long.
Thus, area of one square tile = (2¼)²
= 81/16 ft²
Since there are 36 tiles,
Thus ;
Total area ; 81/16 x 36 = 182.25 ft²
Final answer:
The area of one tile in the mosaic is 5.0625 ft², and because there are 36 tiles in the mosaic, the total area is 182.25 ft². Mosaics are an ancient and durable art form requiring significant skill to create, especially when using small tesserae.
Explanation:
Francesca's window store created a mosaic for the community center that consisted of a 6 × 6 array of square tiles. To find the area of the whole mosaic, we need to calculate the area of one tile and then multiply it by the total number of tiles in the array.
Firstly, we have been given that each tile is 2 1/4 ft in length. Since the tiles are square, the area of one tile will be (2 1/4 ft) × (2 1/4 ft). In decimal form, 2 1/4 ft is equal to 2.25 ft. The area of one tile is therefore:
2.25 ft × 2.25 ft = 5.0625 ft²
Since there are 36 tiles (6 tiles in each direction), the total area of the mosaic will be:
5.0625 ft² × 36 = 182.25 ft²
Mosaics require considerable skill and time to create, especially when they employ tiny tesserae. As seen throughout history, mosaics have been used to decorate many surfaces, such as those in Francesca's example. The durability and artistic value of mosaics continue to make them a popular choice for artistic expression in structures like the community center.
A rectangular computer screen has an area of a spuare inches the width of the computer screen is 7 inches. Which equation represents x,the length of the computer screen in inches?
Answer:
x = A(x) / 7
Step-by-step explanation:
A rectangular shape screen has an area A(r) in square inches
A(r) = w * x where w is width and x is length
If we know A(r) and w = 7 in, we can express A(x) area of the rectangular screen as;
A(x) = 7*x ⇒ x = A(x) / 7
A worker's wage (w) is directly proportional to the number of hours (h) worked. If $71.25 is earned for working 5 h, how much is earned for working 23 h?
Answer:
The amount earned is $327.75
Step-by-step explanation:
If the workwr working for 5h gets $71.25, then his working for 1 hour could be said to be x.
5h = $71.25
1h = x; cross multiplying would result in
x= [tex]\frac{($71.25*1)}{5h}[/tex]
x= $14.25 which is the pay for 1h
Therefore for 23 h the worker would earn
23* 14.25 = $327.75