The ratio of time taken by Henry to time taken by Gavin is 3:5
Step-by-step explanation:
Time taken by Henry for each set = 36 minutes
Time taken by Gavin for each set = 1 hour
We will convert Gavin's time into minutes.
Time taken by Gavin for each set = 60 minutes
Ratio;
Time taken by Henry : Time taken by Gavin
[tex]36:60[/tex]
Dividing by 6
[tex]\frac{36}{6}:\frac{60}{6}\\6:10[/tex]
Dividing by 2
[tex]\frac{6}{2}:\frac{10}{2}\\3:5[/tex]
The ratio of time taken by Henry to time taken by Gavin is 3:5
Keywords: ratio, division
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Mr jones is planning to pant grass and place afence in a small area for his dog. The rectagular dimension are 12×15 feet. The grass costs 50 cents per square foot. The small fence costs $8.00 per linear foot.
Answer:
A) The total feet needed for the fence total perimeter is 54 feet
B) The total cost of fence is $432
C) The square feet of grass needed foe the total area is 180 square feet
D) The total cost of the project is $572
Step-by-step explanation:
Given as :
The dimension of rectangular field
Length of rectangular field = L = 12 feet
width of rectangular field = w = 15 feet
The cost of grass per square foot = 50 cents = $0.5 ( ∵ 1 cents = $0.01 )
The cost of small fence = $8 per linear foot
Now, According to question
A ) Let The total feet needed for the fence total perimeter = A feet
∵ Perimeter of rectangular field = 2 × Length + 2 × width
Or, A = 2 × L + 2 × w
Or, A = 2 × 12 feet + 2 × 15 feet
Or, A = 24 feet + 30 feet
∴ A = 54 feet
So, The total feet needed for the fence total perimeter = A = 54 feet
B ) Let The total cost of fence = $B
So, The total cost of fence = The cost of small fence × perimeter of fence
i.e B = $8 × 54 feet
∴ B = $432
So,The total cost of fence = B = $432
C) Let the square feet of grass needed foe the total area = C square feet
∵The Area of rectangular fence = Length × width
Or, The square feet of grass needed foe the total area = Area of rectangular fence = L × w
i.e C = 12 feet × 15 feet
Or, C = 180 feet²
So,The square feet of grass needed foe the total area = C = 180 square feet
D) Let The total cost of grass = $D
∵ The cost of grass per square foot = $0.5
So,Total cost of grass = $0.5 × Area of fence
i.e D = $0.5 × 180 feet²
Or, D = $90
So, The Total cost of grass = D = $90
E) Let the total cost of the project = $E
∵Mr. Jones spend additional $50 for tools
So, The total cost of the project = money spent on tools + total cost of fence + Total cost of grass
i.e E = $50 + B + D
Or, E = $50 + $432 + $90
∴ E = $572
So, The total cost of the project = E = $572
Hence,
A) The total feet needed for the fence total perimeter is 54 feet
B) The total cost of fence is $432
C) The square feet of grass needed foe the total area is 180 square feet
D) The total cost of the project is $572 Answer
Has an x-intercept of (4,0) and a y- intercept of (0,-2)
Write the equation in standard form, slope intercept form and point slope form
Just to be different we'll start with intercept intercept form which says the line through x intercept (a,0) and y intercept (0,b) is
[tex]\dfrac x a + \dfrac y b = 1[/tex]
Through (4,0) and (0,-2) that's
[tex]\dfrac{x}{4} + \dfrac{y}{-2} = 1[/tex]
Multiply through by the common denominator of 4 for standard form:
x - 2y = 4
For slope intercept form we solve for y
-2 y = -x + 4
y = (1/2) x - 2
We see our slope is (1/2) and we go through (4,0) so point slope form is
y - 0 = (1/2)(x - 4)
y = (1/2)(x-4)
The equation is y = 1/2(x - 4), and converting this to standard form results in x - 2y = 4.
To find the equation of the line that passes through the x-intercept (4,0) and y-intercept (0,-2), we need to derive its slope and then write the equation in different forms:
Step 1: Calculate the Slope
The slope (m) is given by
m = (y2 - y1) / (x2 - x1).
Using the given intercepts (4,0) and (0,-2):
m = (0 - (-2)) / (4 - 0) = 2 / 4 = 1/2
Step 2: Slope-Intercept Form
The slope-intercept form is
y = mx + b, where m is the slope and b is the y-intercept. We know that the y-intercept, b, is -2.
Thus, the equation in slope-intercept form is:
y = 1/2 x - 2
Step 3: Point-Slope Form
The point-slope form is given by
y - y1 = m(x - x1).
Using the point (4,0):
y - 0 = 1/2(x - 4)
Which simplifies to:
y = 1/2(x - 4)
Step 4: Standard Form
Standard form is
Ax + By = C. To convert our slope-intercept form (y = 1/2 x - 2) to standard form, we follow these steps:
Multiply both sides by 2 to eliminate the fraction:
2y = x - 4
Rearrange to get integer coefficients on the left side:
x - 2y = 4
Thus, the equation in standard form is: x - 2y = 4
A sports club needs to raise at least $240 by selling chocolate bars for $3.00 each. Sebastian wants to know how many chocolate bars, c, the sports club must sell in order to reach their goal. He represented this situation as 3c > 240. Which graph represents this inequality?
Answer:
Graph 3.
Step-by-step explanation:
Since they need to earn $240 by selling $3 candy bars, they must sell at least 80 candy bars since 240/3 = 80.
With this in mind, selling more than 80 candy bars would be acceptable, but selling less would not which is why the third graph is correct.
Answer:
c
Step-by-step explanation:
For what value of x does 32x – 93x-4?
оооо
the two solutions are approximately [tex]\( x_1 \approx 2.95 \) and \( x_2 \approx -0.042 \).[/tex]
To find the value of x that satisfies the equation [tex]\( 32x^2 - 93x - 4 = 0 \)[/tex], we can use the quadratic formula:
[tex]\[ x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} \][/tex]
Where:
- a = 32
- b = -93
- c = -4
Now, let's plug these values into the quadratic formula:
[tex]\[ x = \frac{{-(-93) \pm \sqrt{{(-93)^2 - 4 \cdot 32 \cdot (-4)}}}}{{2 \cdot 32}} \]\[ x = \frac{{93 \pm \sqrt{{8649 + 512}}}}{{64}} \]\[ x = \frac{{93 \pm \sqrt{{9161}}}}{{64}} \]\[ x = \frac{{93 \pm 95.7}}{{64}} \][/tex]
Now, we have two possible solutions:
[tex]\[ x_1 = \frac{{93 + 95.7}}{{64}} \]\[ x_2 = \frac{{93 - 95.7}}{{64}} \]\[ x_1 \approx \frac{{188.7}}{{64}} \]\[ x_2 \approx \frac{{-2.7}}{{64}} \]\[ x_1 \approx 2.95 \]\[ x_2 \approx -0.042 \][/tex]
Therefore, the two solutions are approximately [tex]\( x_1 \approx 2.95 \) and \( x_2 \approx -0.042 \).[/tex]
The probable question maybe:
What are the solutions for x in the equation [tex]\( 32x^2 - 93x - 4 = 0 \)[/tex]?
Hiro painted his room at a rate of 8 square meters per hour. After 3 hours of painting, he had 28 square meters left to paint. Let A(t) denote the area to paint A (measured in square meters) as a function of time t (measured in hours).
Answer: [tex]A(t)=-8t+52[/tex]
Step-by-step explanation:
The missing question is: "What is the Functions formula A(t)=?"The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
According to the data given in the exercise, you know that:
- [tex]A(t)[/tex] represents the area to paint the Hiros' romm as a function of time.
- The rate he painted the room was 8 square meters per hour.
- The area left to paint after 3 hours was 28 m².
Therefore, based on this, you can idenfity that:
1. The slope of the line is:
[tex]m=-8[/tex]
2. One of the point on the line is:
[tex](3,28)[/tex]
So you must substitute the slope and the coordinates of that point into [tex]y=mx+b[/tex] and then solve for "b" in order to find its value:
[tex]28=-8(3)+b\\\\28+24=b\\\\b=52[/tex]
Therefore, you can determine that the function [tex]A(t)[/tex] is:
[tex]A(t)=-8t+52[/tex]
what does -16-3 equal
Answer:
Step-by-step explanation:
it equals -19
Answer:
The value of the given expression [tex]-16-3=-19[/tex]
Step-by-step explanation:
Given expression is [tex]-16-3[/tex]
To find the value of the given expression:
[tex]-16-3=-16-3[/tex]
Now taking the negative sign (-) outside the terms of the above equation we get,
[tex]-16-3=-(16+3)[/tex]
Now apply the algebraic sum to the above expression we get,
[tex]=-19[/tex]
Therefore [tex]=-19[/tex]
The value of the given expression is [tex]-16-3=-19[/tex]
Lucas bought six packs of 25 pens each for four dollars per pack and sold each pen for $.25 how much was his profit?
Answer:
$13.50
Step-by-step explanation:
To find Lucas's profit, subtract the cost from his total gain.
Lucas bought 6 packs for $4 each.
6 * $4 = $24
His cost is $24.
In each of the 6 packs, there were 25 pens.
6 * 25 = 150 total pens
Lucas sold each pen for $0.25
150 * $0.25 = $37.50
$37.50 - $24 = $13.50
Which expression correctly factors the polynomial?
x² – 36
A. (x - 6)^2
B. (X-6)(x+6)
C. (x-9)(x+4)
D. x(x - 36)
Answer:
B
Step-by-step explanation:
(x-6)(x+6)
x * x = x^2-6 * x = -6x6 * x = 6x-6 * 6 = -36x^2 + 6x - 6x -36The -6x cancels out the other 6x
x^2 - 36
the area of a rectangle is given by the expression x^2+5x+4. If the length of one side is given by x+2, what is the length of the other side?
Answer: [tex]\frac{(x+4)(x+1)}{x+2}[/tex]
Step-by-step explanation:
The area of a rectangle [tex]A[/tex] is given by the multiplication of its base [tex]b[/tex] by its height [tex]h[/tex]:
[tex]A=(b)(h)=x^{2}+5x+4[/tex] (1)
In addition we are told the length of one of the sides (let's choose [tex]b[/tex]) is:
[tex]b=x+2[/tex] (2)
Substituting (2) in (1):
[tex](x+2)h=x^{2}+5x+4[/tex] (3)
Isolating [tex]h[/tex]:
[tex]h=\frac{x^{2}+5x+4}{(x+2)}[/tex]
Factoring in the numerator:
[tex]h=\frac{(x+4)(x+1)}{x+2}[/tex] This is the length of the other side of the rectangle
What’s that precent 250 of 275
Answer:
Percent 250 of 275 is 90.9%
Step-by-step explanation:
We have to find 250 is what percent of 275.
Let X be the percentage, then
=> X = [tex]\frac{250}{275} \times 100[/tex]
Now simplyfying the above relation we get
=> X = [tex] 0.909\times 100[/tex]
=> => X = 90.9 %
Hence 250 is 90.9% of 275
Shawn charges $15 per hour cow mowing lawn. How many hours did he work last week if he spent $45 on gas and saved the remaining $285?
Answer:
He worked 22 hours.
Step-by-step explanation:
285+45= 330
330 is the amount he earned in the first place.
330/ 15(amount earned per hour)= 22
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An ice cream shop offers two ice cream cones. the waffle cone holds 12 ounces and is 5 inches tall. the sugar cone also holds 12 ounces and is 8 inches tall. Which cone has a larger radius?
The waffle cone has a larger radius compared to the sugar cone.
Explanation:
The radius of a cone can be found using the formula:
radius = volume / height / pi
Both cones have the same volume of 12 ounces, so we can use this formula to compare their radii:
For the waffle cone: radius = 12 / 5 / pi = 0.766
For the sugar cone: radius = 12 / 8 / pi = 0.477
Therefore, the waffle cone has a larger radius compared to the sugar cone.
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The waffle cone has a larger radius of approximately 2.03 inches compared to the sugar cone's radius of approximately 1.61 inches.
To determine which cone has a larger radius, we need to calculate the radius of each cone using the volume formula for a cone. Since both cones hold the same volume (12 ounces), we'll convert this to cubic inches (since 1 ounce is approximately 1.8 cubic inches, 12 ounces is roughly 21.6 cubic inches).
The volume formula for a cone is:
V = (1/3)πr²h
Where V is the volume, r is the radius, and h is the height.
Waffle Cone:
Volume (V) = 21.6 cubic inches
Height (h) = 5 inches
Therefore, we have:
21.6 = (1/3)πr²(5)
Solving for r, we get:
21.6 = (5/3)πr²
r² = 21.6 / ((5/3)π)
r² = 12.97 / π
r ≈ sqrt(4.13)
r ≈ 2.03 inches
Sugar Cone:
Volume (V) = 21.6 cubic inches
Height (h) = 8 inches
Therefore, we have:
21.6 = (1/3)πr²(8)
Solving for r, we get:
21.6 = (8/3)πr²
r² = 21.6 / ((8/3)π)
r² = 8.1 / π
r ≈ sqrt(2.58)
r ≈ 1.61 inches
Comparing the two radii, the waffle cone has a larger radius of approximately 2.03 inches, while the sugar cone has a smaller radius of approximately 1.61 inches.
Just 2 questions I need help on !! Picture below
Question # 4
Answer:
Total number of cameras left to bid on = 3/5
Step-by-step Explanation:
To determine:
What fraction of the total number of cameras is left to bid on?
Solution Steps:
Total number of antique cameras contributed by a local shop = 10The number of cameras accepted for bids = 4Total number of cameras left to bid on = 10/10 - 4/10
= 6/10
= 3/5 ∵ As 6/10 = 3/5
Hence, total number of cameras left to bid on = 3/5
Question # 5
Answer:
The remaining portion of tickets = 17/100
Step-by-step Explanation:
To determine:
What portion of the tickets remain?
Solution Steps:
The total number of tickets = 100The number of tickets that were sold in first week = 83The remaining portion of tickets = 100/100 - 83/100
= 17/100
Hence, the remaining portion of tickets = 17/100
Keywords: fraction, number
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The length of a rectangle is 1 inch more than twice it’s width. If the perimeter of the rectangle is 20 inches, what are the dimensions of the rectangle?
Answer:
Step-by-step explanation:
P = 2(L + W).....perimeter of a rectangle formula
P = 20
L = 2W + 1
20 = 2(2W + 1 + W)
20 = 2(3W + 1)
20 = 6W + 2
20 - 2 = 6W
18 = 6W
18/6 = W
3 = W <==== the width is 3 inches
L = 2W + 1
L = 2(3) + 1
L = 6 + 1
L = 7 <===== the length is 7 inches
Answer:
Width = 3 inches
Length = 7 inches
Step-by-step explanation:
L = 1 + 2W
P = 20 inches
P = 2L + 2W
2L + 2W = 20 inches
Fill in known value (length)
2(1 + 2W) + 2W = 20 inches
Solve
2 + 4W + 2W = 20 inches
6W = 18 inches
Simplify
W = 3 inches
Width = 3 inches
Length = 2(3) + 1 = 7 inches
:)
in the Venn diagram 60 farms only grow potatoes or sugar beets 4/5 of these 60 farms grow potatoes the number of farms that grow potatoes are 3 times the number that grow sugar beets complete the Venn diagram
To complete the Venn diagram, calculate that 48 out of 60 farms grow potatoes and the remaining 16 grow sugar beets, since the potato farms number is three times the sugar beet farms.
Explanation:The question asks us to complete a Venn diagram with information about how many farms grow potatoes vs sugar beets, given that 60 farms grow one or the other, not both. 4/5 of the 60 farms grow potatoes, which is 48 farms.
Since the number of farms that grow potatoes is three times the number that grow sugar beets,
we can determine the number of sugar beet farms by dividing the number of potato farms by 3, giving us 16 farms growing sugar beets.
Here's the step-by-step solution:
Calculate the number of farms that grow potatoes: 4/5 of 60 = 48.Since the potato farms are three times the sugar beet farms, divide the potato farms by 3 to get the number of sugar beet farms: 48 / 3 = 16.Use these numbers to complete the Venn diagram with the two disjoint sets, one with 48 (potatoes) and the other with 16 (sugar beets).What is the answer ? Please use partial products to multiply 391 x 7
Answer:7 times what can give you 210 ... 30 so 181 and 7 times what gives you 140 ...20 so now 41 so 7 times 5 is 35 now you have 6
Step-by-step explanation:
The answers in the first box are 630, in the second box 9, and in the third box 2737 after multiplying 391 by 7.
What is an arithmetic operation?Arithmetic is an area of mathematics involving the study of numbers and the different operations that can be performed on them. Addition, subtraction, multiplication, and division are the four basic math operations.
We have given:
391
× 7
______
7 7×1 one
630 7×9 tens
+2100 7×3 hundred
________
2737
After multiplying 391 by 7 we will get, 2737
Thus, the answers in the first box are 630, in the second box 9, and in the third box 2737 after multiplying 391 by 7.
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Only geniuses can answer this question! Also 20 points!
On a trip to visit relatives you drive 1,115.625 miles over the course of 21
hours and 15 minutes. What was the unit rate of the speed of your vehicle in miles
per hour? Round to the nearest tenth of a mile.
Answer:
Step-by-step explanation:
1,115.625 miles in 21 hrs and 15 min.....
15 minutes = 15/60 = 0.25 hrs......so they did it in 21.25 hrs
1,115.625 / 21.25 = 52.5 miles per hr <===
There are 75 balloons in each package how many balloons are in 20 packages
Answer:
1500
Step-by-step explanation:
75 ballons in one package, mulitiply 75 by 20 to get 1500 total balloons
Answer:1500
Step-by-step explanation:
an 8 oz drink cost 2.16 an a 10 oz drink cost 2.75 which is better why
Answer:
The better one? 8 oz
Step-by-step explanation:
You might be wondering why. You divide the cost by the oz. (or like a kind of capacity measurement or like weigh) For example, 2.16/ 8 is 0.27, that means per oz it is 0.27. Then, you find it for a 10 oz that costs 2.75, that is equal to 0.275. 0.275 is more than 0.27 so a 8 oz must be better to buy.
Answer: 8 oz drink
Step-by-step explanation: In this problem, we are asked to determine which of the following drinks is a better buy.
A 8 oz drink that for $2.16 or a 10 oz drink for $2.75.
Since the drinks that we are comparing are different sizes, to determine which drink is a better buy, we first need to find the unit price of each drink which in this case is the cost per ounce of each drink.
For our first drink, since $2.16 is the cost for 8 oz, to find the cost per ounce, we divide 8 into 2.16 to get 0.27. So the 1 ounce drink has a unit price of 0.27 cents per ounce.
For our second drink, since $2.75 is the cost for 10 oz, to find the cost per ounce, we divide 10 into 2.75 to get 0.275.
Finally we want to know which drink is a better buy so we are looking for the drink with the lower unit price. Since 0.27 cents is less than 0.275 cents, the 8 oz drink has the lower unit price and is therefore the better buy.
how can i solve this and this and this and this?
Answer:
DF = 3 , ∠B = 28° , ∠P = 105° , QR = 11.6 , ∠M=45°,LN = 8.5
Step-by-step explanation:
As ΔABC≅ΔDEF ,
DF = AC and ∠B = ∠E because corresponding parts of congruent triangles are equal.
∴DF = 3 and ∠B= 28°
In the next part,
as ΔLMN≅ΔPQR,
∠P = ∠L , QR = MN , ∠M = ∠Q , LN = PR as corresponding parts of congruent triangles are equal.
∴∠P = 105° , QR = 11.6 , ∠M = 45° , LN = 8.5
write as an algebraic expression the sum of d and 12 is 20
Answer:
The word sum corresponds to addition, which means:
d + 12 = 20
:)
Answer: d + 12 = 20
Step-by-step explanation: In this problem, we are asked to write an algebraic expression that represents the sentence.
The key to understanding this problem is by looking at the keyword "sum." The word sum means addition so reading this problem from left to right, the sum of d and 12 that's d + 12 "is 20" = 20.
So, d + 12 = 20 will be our algebraic expression.
Marcus plots the point (4, 7) in Quadrant I on the coordinate plane. Nicole then plots the point (4, –3) in Quadrant IV of the same graph. Explain what the line that goes through those two points would look like, and evaluate the slope.
Answer:
see the explanation
Step-by-step explanation:
we have the points
(4,7) and (4,-3)
we know that
The x=coordinate of both points are the same
so
the line that goes through those two points is a vertical line (parallel to the y-axis)
The slope is undefined
Because
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{7+3}{4-4}[/tex]
[tex]m=\frac{10}{0}[/tex]
Is undefined (the denominator is equal to zero)
see the attached figure to better understand the problem
Answer:
Step-by-step explanation:
Sample Response: Since both points have the same x-coordinate, the line would be vertical. A vertical line has no slope because the run of the graph, which is the denominator, is zero and therefore an undefined fraction.
Rearrange the equation so n is the independent variable.
m+1= -2(n +6)
m
=
Answer:
n= (-m-13)/2
Step-by-step explanation:
look @ photo
Answer: m=-2n-13
↗️⬆️↖️
Consider this quadratic equation.
x2 + 1 = 2x – 3
Which expression correctly sets up the quadratic formula?
Answer:A
Step-by-step explanation:
The equation that best set up the quadratic formula is [tex]x = \frac{ -(-2) |+-| \sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex].
Hence, option A is the correct answer.
What is a Quadratic Equation?Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
Using the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
Given that;
x² + 1 = 2x – 3
First we re-arrange the the equation.
x² + 1 = 2x - 3
x² - 2x + 1 + 3 = 0
x² - 2x + 4 = 0
Hence;
a = 1b = -2c = 4Next we input this values into the quadratic formula
x = (-b±√(b² - 4ac)) / (2a)
x = (-(-2)±√((-2)² - 4(1)(4))) / (2(1))
[tex]x = \frac{ -(-2) |+-| \sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex]
The equation that best set up the quadratic formula is [tex]x = \frac{ -(-2) |+-| \sqrt{(-2)^2-4(1)(4)} }{2(1)}[/tex].
Hence, option A is the correct answer.
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the amount of water remaining in a fish tank is given by the equation y = 175 - 15x where y is the number of gallons of water remaining
fter x minutes,
That is the approximate time it would take to drain the fish tank?
A. 12 minutes
B. 85 minutes
C 160 minutes
D. 175 minutes
E. 190 minutes
Answer:
The correct answer is A. 12 minutes.
Step-by-step explanation:
Let's solve for y, when x = 12, as follows:
y = 175 - 15x
y = 175 - 15 * 12
y = 175 - 180
y = - 5
This result means that after 12 minutes the fish tank would be completely drained and if it's needed 5 additional gallons of water could also be drained. It's not necessary to continue making more calculation with the the other options given because this is the right answer.
The correct answer is A. 12 minutes.
What is the approximate length of a line segment connecting points A and B?
Point A: 3, 6
Point B: 2, -4
Point D: -2, 6
A. 10 units
B. 15 units
C. 13 units
D. 11 units
Answer:
A. [tex]\displaystyle 10\:units[/tex]
Step-by-step explanation:
Use the Distance Formula:
[tex]\displaystyle \sqrt{[-x_1 + x_2]^2 + [-y_1 + y_2]^2} = D \\ \\ \sqrt{[-3 + 2]^2 + [-6 - 4]^2} = \sqrt{[-1]^2 + [-10]^2} = \sqrt{1 + 100} = \sqrt{101} ≈ 10,04987562 ≈ 10[/tex]
Since we are talking about distance, we ONLY want the NON-NEGATIVE root.
I am joyous to assist you anytime.
Final answer:
The approximate length of a line segment connecting points A(3, 6) and B(2, -4) is found using the distance formula and it is approximately 10 units.
Explanation:
To calculate the approximate length of a line segment connecting points A and B, we use the distance formula. The distance formula is derived from the Pythagorean theorem and is:
d = \/((x2 - x1)² + (y2 - y1)²)
Given points, A(3, 6) and B(2, -4), we can plug these coordinates into the formula:
d = \/((2 - 3)² + (-4 - 6)²)
Now, calculate the squares and sum:
d = \/((-1)² + (-10)²)
d = \/(1 + 100)
d = \/(101)
The square root of 101 is approximately 10.05, which is close to 10 units.
Therefore, the approximate length of the line segment connecting points A and B is 10 units, which corresponds to option A.
TEST HELPO AGAIN
What is the final amount in a $1500 account earning .75% compound interest for 6 years?
Answers will include a $ sign and round all answers to hundredths place.
Answer:
The final amount in the account after 6 years at compound interest is $1568.78 .
Step-by-step explanation:
Given as :
The principal amount in account = p = $1500
The rate of compound interest = r = 0.75 %
The time period of the loan = t = 6 years
Let The Amount in account after 6 years = $A
From Compound Interest method
Amount = Principal × [tex](1+\dfrac{\textrm rate}{100})^{\textrm time}[/tex]
I.e A = p × [tex](1+\dfrac{\textrm r}{100})^{\textrm t}[/tex]
Or, A = $1500 × [tex](1+\dfrac{\textrm 0.75}{100})^{\textrm 6}[/tex]
Or, A = $1500 × [tex](1.0075)^{6}[/tex]
Or, A = $1500 × 1.04585
Or, A = $1568.775
So, The final amount= A = $1568.78
Hence The final amount in the account after 6 years at compound interest is $1568.78 . Answer
how many solutions can be found for the following linear equation ? 6 (4w + 8) = 12(2w + 4)
Answer:
you can only find an Infinite amount of solutions.
Step-by-step explanation:
Answer: do some math right now kehd you trash
Step-by-step explanation:
get a life
Please help me with this math problem
Alana bought 3/8pound of Swiss cheese and 1/4 pounds of American cheese.which pairs of fractions are equivalent to the amounts Alana bought?
Final answer:
Equivalent fractions for 3/8 could be 6/16 or 12/32, and for 1/4, they could be 2/8 or 4/16, achieved by multiplying both the numerator and denominator by the same number.
Explanation:
The student asked which pairs of fractions are equivalent to 3/8 pound of Swiss cheese and 1/4 pound of American cheese. To find equivalent fractions, we multiply or divide both the numerator and the denominator of the fraction by the same number. For example, if we multiply the numerator and denominator of 3/8 by 2, we get 6/16, which is equivalent to 3/8. Likewise, if we multiply the numerator and denominator of 1/4 by 2, we get 2/8 which is equivalent to 1/4. Another pair of equivalent fractions can be found by multiplying 3/8 and 1/4 each by 4, resulting in 12/32 and 4/16 respectively.