Answer:
$241.58
Step-by-step explanation:
he amount of money A, accrued at the end of n years when a certain amount, P is invested at a compound annual rate, r, is given by:
[tex]A=P(1+r)^n[/tex]
From the given information:
P =$150
r=10%=0.1
n= 5 years
Therefore the balance after 5 years is:
[tex]A=P(1+r)^n\\=150(1+0.1)^5\\=150*1.1^5\\=\$241.58[/tex]
The balance of the account after 5 years, with an initial investment of $150 and an annual interest rate of 10%, compunded annually, would be approximately $241.58.
Explanation:To find the balance of the investment after 5 years, we substitute the values into the given formula. P is the principal amount which is $150, r is the annual interest rate which is 10% or 0.10 in decimal form, and n is the number of years which is 5. So the formula becomes A = $150 * (1 + 0.10)^5.
To simplify, calculate 1 + 0.10 to get 1.1. Then raise 1.1 to the power of 5 to get 1.61051. Multiply that by $150 to get approximately $241.58. So, the balance of the investment after 5 years would be approximately $241.58.
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15. Sense or Nonsense
cense or Nonsense? Sam and Dave each solve the problem at
e right. Sam says the sum is 4 feet 18 inches. Dave says the sum
e 5 feet 6 inches. Whose answer makes sense? Whose answer is
nonsense? Explain.
Says shouldn’t Say 18 inches because that is 1 ft 6 inches
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
Use the distance formula to find the length of each side, and then add the lengths
Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel
Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
To find the perimeter of a quadrilateral use the distance formula to find the length of each side, and then add the lengths so option (A) will be correct.
What is a perimeter?Perimeter is the addition of an external measure of sides it will always positive.
A perimeter is a length and has a degree of the unit as one.
For example
Perimeter of square = side + side + side + side
Perimeter of circle = πd where d is dia of the circle.
To find the perimeter of the quadrilateral we need to find all four side and add them because the perimeter is nothing but the sum of external sides.
So,
By using the distance formula we can find the distance between two points or the distance of a side of a quadrilateral because coordinates are given.
Hence "Use the distance formula to find the length of each side, and then add the lengths"
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What is the original price if after an increase of 25% the price was $225.00?
Answer:
$180.00
Step-by-step explanation:
x (1 + 0.25) = 225.00
x = 225.00 / 1.25 = 180
Answer:
$900
Step-by-step explanation:
You have to divide the percentage in order for it to go up.
Solve the problem, using 3.14 for 1. Round to nearest tenth unless instructed differently.
A semicircular driveway has a diameter of 70 ft. How long is the driveway?
Answer:
109.9
Step-by-step explanation:
It is asking for circumfrence right?
c=pi(d)
c=1/2(3.14)(70)
c=109.9
Sorrry if i am wrong
To find the length of the semicircular driveway with a diameter of 70 ft, calculate the circumference using the formula C = π * diameter.
To find the length of the driveway:
Given the diameter is 70 ft, the radius is half of that, which is 35 ft.
The formula for the circumference of a circle is C = π * diameter.
Substitute the values to find the length, C = 3.14 * 70 ft = 219.8 ft.
What is the equation for a line that passes through the points (2,0) and (-4,9)?
Answer:
y = -3/2x+3
Step-by-step explanation:
We first need to find the slope using
m = (y2-y1)/(x2-x1)
= (9-0)/(-4 -2)
9/-6
=-3/2
We will use the slope intercept form of the equation
y = mx+b where m is the slope and b is the y intercept
y = -3/2x+b
Substitute a point into the equation
0 = -3/2(2) +b
0 = -3+b
b = 3
y = -3/2x+3
The company A produces products a, and the company B produces products b. It is known that 3 percent of companies that produce products a go bankrupt over the year. Plus, the probability for companies producing products b to go bankrupt over the year is 6.1. What is the probability (given in decimal number) that both companies are going bankrupt over the year?
Answer:
0.00183
Step-by-step explanation:
The two companies produce different products and the chance to go bankrupt will be different based on the product made. So, the probability of the company A and B to go bankrupt is independent.
To find the answer of this question, we just need to multiply the probability to go bankrupt of each company. The calculation will be:
P(A=bankrupt) * P(B=bankrupt)= 3% * 6.1% =0.183%= 0.00183
Use the quadratic formula to determine the solutions to the quadratic equation. Write your answers as decimals, and round to the nearest hundredth (2 decimal spots).
6x2+4x−3=0
Answer:
x1 = 0.45 and x2 = -1.12
Step-by-step explanation:
To solve the equation 6x2+4x−3=0 using the quadratic formula, we use the following equation:
x = [-b ± √(b2 - 4ac)] / 2a
Where a, b and c are coefficients of the quadratic equantion (in our case, a = 6, b = 4 and c = -3)
So we have that:
x1 = [-4 + √(16 + 72)] / 12 = (-4 + 9.3808) / 12 = 0.4484
x2 = [-4 - √(16 + 72)] / 12 = (-4 - 9.3808) / 12 = -1.1151
Rounding to nearest hundredth, we have x1 = 0.45 and x2 = -1.12
Find the range of each data set. Make sure it is CORRECT.
Answer:
answer 1 : is 12-1=11
answer 2: is 230-22=207
Step-by-step explanation:
Answer:
208!!!
Step-by-step explanation:
Minus the largest number by the smallest.
What is the image point of (9,5)(9,5) after a translation right 4 units and up 4 units?
Answer:
(13,9) I think
Step-by-step explanation:
I hope this helps and I hope I can get Brainliest! =)
Final answer:
The image point of the original point (9,5) after a translation right 4 units and up 4 units is (13,9).
Explanation:
The student is asking about the result of a translation transformation in a two-dimensional coordinate system. Specifically, the student wants to know the new coordinates of a point after it is moved 4 units to the right and 4 units up. The original coordinates are given as (9,5). To find the image point after the translation, we simply add the corresponding values to each coordinate. So, we add 4 to the x-coordinate (9+4) and 4 to the y-coordinate (5+4).
The new coordinates, or the image point, will be:
x-coordinate: 9 + 4 = 13
y-coordinate: 5 + 4 = 9
Therefore, the image point after the translation is (13,9).
Jayme built a box in the shape of a rectangular prism with the dimensions shown. What is the volume of the box, in cubic inches?
A rectangular prism has a length of 8 inches, a width of 2 inches, and a height of 4 inches.
Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height.
Inches cubed
Answer:
The volume is 64 inches cubedStep-by-step explanation:
plz mark as brainliest!!!
Answer:
64 inches cubed
what is 2.16 repeating as a fraction
Answer:
54/25
Step-by-step explanation:
Bill works for the Stuff It Mailing Service. He receives 25 cents for each document he puts together and prepares for
mailing. Last weck, Bill prepared 2.000 documents for mailing for a local department store. He received a check with gross
pay of $474 and is certain the amount is incorrect
ist
Answer:
(a)Bill's Total piecework pay =$500
(b)Amount owed by his boss=$26
Step-by-step explanation:
Let the number of documents put together and prepared for mailing by Bill =x
Bill receives 25 Cents=$0.25 for every document
Therefore for x documents, Bill should receive: $0.25x
If Bill prepared 2000 documents for mailing
x=2000
The amount he should receive = $0.25 X 2000 =$500
(a)Bill's Total piecework pay =$500
(b)Amount owed by his boss
=500-474
=$26
Bill should have received a gross pay of $500 for preparing 2,000 documents.
Explanation:Bill works for the Stuff It Mailing Service and receives 25 cents for each document he prepares for mailing. Last week, Bill prepared 2,000 documents for a local department store. To find his correct gross pay, we can multiply the number of documents he prepared by the amount he earns per document: 2,000 documents × $0.25 per document = $500. Therefore, the correct gross pay for Bill should be $500.
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The box measures 12 inches on each side. How many cubic inches will the box hold?
Answer: Multiply width x length x depth to calculate volume (cubic inches).
Step-by-step explanation:
Answer:48 cubic inches
Step-by-step explanation:
Its a box which means it has 4 equal side so therefore
12x4 = 48
Vince successfully solved the system of equations
-5x +y = -21 and y = x - 1. Which of these statements could correctly
describe what he did?
The student solved the system of equations by substitution. He substituted y = x - 1 into the first equation and solved for x. He then substituted the value of x into the second equation to find the value of y.
Explanation:The correct statement could be that Vince substituted the equation y = x - 1 into the first equation -5x + y = -21. Next, he solved for x. Once he found the value for x, he substituted that into the equation y = x - 1 to find the value of y, providing the solution to the system of equations.
Step-by-step:
Vince substituted y in the first equation with (x - 1), and got: -5x + (x - 1 ) = -21, which simplifies to: -4x - 1 = -21.He added 1 to both sides, resulting in: -4x = -20 and then he divided both sides by -4, finding x = 5. Lastly, Vince substituted x = 5 into the second equation getting: y = 5 - 1 = 4.So, the solution to the system is x = 5, y = 4.
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Can anyone please answer this question !!!
Max wants to paint a wall that measures 2.1 m by 5.2 m. A tin of paint states that it will cover 3.5 m?. If the tin contains exactly 0.5 litres of paint, and all other measurements are correct to 1 d.p., find the maximum volume of paint needed to paint the wall.
Final answer:
The maximum volume of paint required is 2 liters.
Explanation:
To calculate the maximum volume of paint needed to paint the wall, we need to first determine the area of the wall. The wall measures 2.1 m by 5.2 m, so the area is:
Area = Length × Width = 2.1 m × 5.2 m = 10.92 m²
Now, we know that one tin of paint covers 3.5 m² and contains 0.5 liters of paint. To find the number of tins needed, we divide the total area by the area covered by one tin:
Tins needed = Total area / Area per tin = 10.92 m² / 3.5 m²
Tins needed = 3.12
Since we cannot buy a fraction of a tin, we need to round up to the nearest whole number, which means Max needs 4 tins of paint. To find the total volume of paint, we multiply the number of tins by the volume of one tin:
Total volume = Tins needed × Volume per tin = 4 × 0.5 L = 2 L
Therefore, the maximum volume of paint Max will need is 2 liters.
Please help ASAP!!! Will give Brainly!!! What are the x-intercepts of the parabola?
(4.5, 0) and (5,0)
(0.4.5) and (0,5)
(0,5) and (04)
(5.0) and (4.0)
Answer:
I think it's
4.5
5
0.4
0
0
5
4
maybe, maybe not.
Step-by-step explanation:
In ΔDEF, the measure of ∠F=90°, ED = 65, FE = 56, and DF = 33. What is the value of the cosine of ∠D to the nearest hundredth?
Answer:
[tex]cos(D)=0.51[/tex]
[tex]m\angle D=59.49^o[/tex]
Step-by-step explanation:
we know that
In the right triangle DEF
[tex]cos(D)=\frac{DF}{ED}[/tex] ---> by CAH (adjacent side divided by the hypotenuse)
substitute the given values
[tex]cos(D)=\frac{33}{65}=0.51[/tex]
using a calculator
[tex]m\angle D=cos^{-1}(\frac{33}{65})=59.49^o[/tex]
To find the value of the cosine of angle ∠D in triangle ΔDEF, use the cosine formula with the given side lengths which is 59.49 degrees.
Explanation:In the given triangle ΔDEF, the measure of angle ∠F is 90°. We are given the lengths of the sides DF, FE, and ED as 33, 56, and 65 units respectively. To find the value of the cosine of angle ∠D, we need to use the cosine formula:
cos(D) = (DF2 + DE2 - EF2) / (2 * DF * DE)
Substituting the known values, we have:
cos(D) = (332 + 652 - 562) / (2 * 33 * 65)
= 59.49
Simplifying this expression gives us the value of the cosine of angle ∠D.
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URGENT!!!
Shreya made the following table where she categorized countries by their region and by average business startup costs, as a percentage of the per capita gross national income (GNI) for a certain year. She decided that high meant greater than or equal to 8% but less than 70%t of the GNI and that very high meant greater than or equal to 70% of the GNI
Find the probability that the country is in the south Asia region, given that Shreya categorized the country's business startup costs as high.
P(south Asia ∣ high)=
Answer:7/87
Step-by-step explanation:
To find the probability that a country is in the South Asia region given that Shreya categorized the country's business startup costs as high, we can use conditional probability. This involves finding the intersection of the two events and dividing it by the probability of one of the events. In this case, we need the specific numbers to calculate the actual probabilities.
Explanation:To find the probability that a country is in the South Asia region given that Shreya categorized the country's business startup costs as high, we need to use conditional probability. Let's assume that event A is the country being in the South Asia region and event B is the country's business startup costs being categorized as high. We can use the formula:
P(A|B) = P(A ∩ B) / P(B)
In this case, P(A ∩ B) is the probability that the country is in the South Asia region and its business startup costs are categorized as high. P(A ∩ B) refers to the intersection of A and B, meaning the countries that fall into both categories. P(B) is the probability that the business startup costs are categorized as high, which is given as part of the question.
Since we don't have the numbers needed to calculate the actual probabilities, I'll provide an example for better understanding. Let's say there are 10 countries in total, and 3 of them are in the South Asia region. Out of these 3 countries, 2 have high business startup costs. So in this case, P(A ∩ B) = 2/10 and P(B) = 6/10. Plugging these values into the formula, we have:
P(A|B) = (2/10) / (6/10) = 2/6 = 1/3
Therefore, the probability that a country is in the South Asia region given that Shreya categorized the country's business startup costs as high is 1/3.
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Sofia makes and sells stuffed toys. She uses special fabric to cover a foam
cube to make a letter block. How much fabric did Sofia use to make
this block? The side length is 8cm.
Answer:
384 square cm
Step-by-step explanation:
Fabric used will be equal to the total surface of the cubical block.
[tex]fabric \: used \\ = 6 {side}^{2} \\ = 6 \times {8}^{2} \\ = 6 \times 64 \\ = 384 \: {cm}^{2} \\ [/tex]
What is 10b +19 when b= -2
Answer:
-1 i hope this helps! :)
Step-by-step explanation:
you are given both 10b + 19 and b = -2
lets plug in the value of b
10b(-2) + 19
multiply the 10b and the -2
-20b + 19
-20 + 19 = -1
-1
Jessenia surveys eighth graders at her school about their favorite subjects. She creates a table to summarize their responses.
What perent of the students who said math is their favorite are girls?
Please round your answer to the nearest percent.
Answer:
15%
Step-by-step explanation:
Answer:
15/124=about 12%
Step-by-step explanation:
A city is planning to build a square-shaped playscape at a city park.
The table shows several values for A, the area of the playscape, in square feet, and f(A), the length, in feet, of one side of the playscape. The function represented is .
About how many square feet are in the playscape if the length of a side is 63 feet?
4,000
4,160
4,489
4,830
Answer:
4,000
Step-by-step explanation:
Simplify by using Order of operations: 15/1+4 + 6+3/3
To simplify the expression 15/1+4 + 6+3/3, we perform the division operations first, followed by addition, which results in the simplified expression of 26.
To simplify the expression 15/1+4 + 6+3/3 using the order of operations, we must follow specific rules. The order of operations is often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). In the absence of parentheses and exponents in this expression, we'll focus on the multiplication/division and addition/subtraction.
First, let's look at the division and multiplication. Since there's no multiplication, we only need to perform the division operations, and we proceed from left to right:
15/1 = 15 (since any number divided by 1 is the number itself)3/3 = 1 (since any number divided by itself is 1)Now we are left with the addition operations:
15 + 4 + 6 + 1 = 26
Therefore, the simplified expression is 26. To generate accurate answers, always follow the order of operations diligently.
The simplified expression is [tex]\( 26 \).[/tex]
To simplify the expression using the order of operations (PEMDAS/BODMAS), we follow these steps:
1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
Given the expression [tex]\( \frac{15}{1} + 4 + 6 + \frac{3}{3} \),[/tex] let's simplify it step by step:
1. Solve the division: [tex]\( \frac{15}{1} = 15 \) and \( \frac{3}{3} = 1 \).[/tex]
2. Now, we have:[tex]\( 15 + 4 + 6 + 1 \).[/tex]
3. Perform addition from left to right: [tex]\( 15 + 4 = 19 \), \( 19 + 6 = 25 \), \( 25 + 1 = 26 \).[/tex]
Therefore, the simplified expression is [tex]\( 26 \).[/tex]
A tree casts a shadow that is 24 feet long. Brad is 5 feet tall, and while standing near the tree he casts a shadow that is 4 feet long. How tall is the tree?
Answer:
30 ft
Step-by-step explanation:
brad is 5 ft tall and has a shadow of 4 ft when standing by the near the trees shadow is 24 ft
so 24 ft / 4 ft =6 ft
so the tree is 6 times bigger than brad so you would multiple brads hight by 6
so that would be 5 times6 =30 ft
thus the tree is 30 ft tall
The shadow height of the tree is 24 feet, then the height of the tree will be equal to 30 feet.
What is an arithmetic operation?The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.
Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.
As per the given information in the question,
Shadow height of tree = 24 feet.
Height of Brad = 5 feet
Shadow height of Brad = 4 feet
Let the height of the tree is x feet.
Then,
x = (24 × 5)/4
x = 120/4
x = 30 feet
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Factor x^2 - 4x + 5.
Prime
(x + 5)(x - 1)
(X - 5)(x - 1)
(x + 5)(x + 1)
Answer:
Uhh? You can't factor this!
Step-by-step explanation:
So.. we see that the last term, the constant, (the +5) is positive, which means the two terms (the a and b on the (x+a)(x+b) must be either both positive or both negative).
We try positive, and we end up with
(x+1)(x+5)
x^2 + x + 5x + 5
x^2 + 6x + 5
which is not what we want!
We try negative, and we end up with
(x-1)(x-5)
x^2 -x -5x +5
x^2 -6x +5
which is also not what we want!
This isn't factorable!
You can always complete the square or utilize the quadratic equation, but you can't factor it.
NEED ASAP PLEASE!!!!!
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
Step 1: Make an equation
[tex]\frac{12}{6} = \frac{x}{2}[/tex]
Step 2: Cross multiply
[tex]\frac{12}{6} = \frac{x}{2}[/tex]
[tex]x * 6 = 12 * 2[/tex]
[tex]6x = 24[/tex]
Step 3: Divide both sides by 6
[tex]6x / 6 = 24 / 6[/tex]
[tex]x=4[/tex]
Answer: [tex]x=4[/tex]
ources
12. What's the area of the triangle below?
Foster.edu
8 m,
6
m
O A. 24 square meters
O B. 96 square meters
O C. 48 square meters
O D. 7 square meters
Answer:
O A. 24 square meters
Step-by-step explanation:
[tex]base \: (b) = 6m \\ height \: (h) = 8m[/tex]
Area of triangle
[tex] = \frac{1}{2} \times base \times height[/tex]
[tex] = \frac{1}{2} \times 6 \times 8 \\ \\ = 1 \times 3 \times 8 \\ = 24m {}^{2} [/tex]
Can y’all help me with the 3 questions still don’t wanna do it
Answer:
1- C Work the Exponents 12^2
2- A 120
3- (?) 31
Step-by-step explanation:
1- Pemdas
2- 12^2-48*1/2=?
First do the exponent 12^2=144
Then do the multiplication 48*1/2=24
Finally Subtract 144-24
3- 35-20/5
First divide 20/5 is 4
Then 35-4
This maybe wrong, but its what I got through pemdas.
How many unique triangles can be drawn with given side lengths of 8 inches, 10.3 inches, and 13 inches?
Answer:
1
Step-by-step explanation:
Three side lengths uniquely specify one triangle.
__
Additional comment
All triangles formed with the same three specific side lengths are considered to be congruent. However, the sides can be arranged smallest-to-largest in CW or CCW order. If the triangle is scalene, the different ordering will result in congruent triangles that will not overlay one another.
Only one unique triangle can be formed
Triangle
A triangle is a three-sided polygon with three vertices and three edges. It is a fundamental geometric shape.
How many unique triangle with given side lengths of 8 inches, 10.3 inches, and 13 inches?
only one unique triangle can be formed with sides length of 8 inches, 10.3 inches, and 13 inches
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A basket contains apples and oranges in the ratio of 4:1. How many apples are there if the total amount of fruits is 40?
Answer:32
Step-by-step explanation:
u fist find the total ratio 4+1 =5then the ratio belonging to apple is four
so u divide 4 by 5 then multiply to the total no of fruit
and that will give u 32
A ratio shows us the number of times a number contains another number. The number of apples in the basket is 32.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Let the number of apples and oranges in the basket be represented by 4x and x respectively.
Given the total number of fruits in the basket is 40. Therefore, the sum of the number of fruits can be written as,
[tex]4x+x=40\\5x=40\\x=8[/tex]
The number of apples = 4x = 4(8) = 32
Hence, the number of apples in the basket is 32.
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