Answer:
lies you wont give brainliest
Step-by-step explanation:
5. Tia invests $2,500 at an interest rate of 4%, compounded quarterly. How much is the investment worth at the end of 5 years? Look at the concept summary if you forgot the formula for compound interest.
Answer:
$3050.48
Step-by-step explanation:
If 4% is compounded quarterly, that means it's 1% every quarter. since we have 5 years, that's 1.01^20, which is approx. 1.2202. We multiply this by the orignal $2500, so our investment at the end of 5 years is $3050.48 (rounded to nearest cent)
The amount of money that Tia's investment would be worth at the end of 5 years is equal to $3050.5.
Given the following data:
Principal = $2,500Interest rate = 4% = 0.04Time = 5 yearsNumber of times = 4To determine how much is the investment worth at the end of 5 years:
Mathematically, compound interest is given by the formula:
\(A = P(1 + \frac{r}{n})^{nt}\)
Where;
A is the future value.P is the principal (starting amount).r is annual interest rate.n is the number of times the interest is compounded in a year.t is the number of years for the compound interest.Substituting the given parameters into the formula, we have;
\(A = 2500(1 + \frac{0.04}{4})^{4\times 5}\\\\A = 2500(1 +0.01)^{20}\\\\A = 2500(1.01)^{20}\\\\A = 2500(1.2202)\)
Future value, A = $3050.5
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Dzani bought some candy. If he packs them equally into 4 jars, he will have 3 candies left. If he packs them equally into 5 jars, he will have 1 candy left. What is the smallest possible number of candies Dzani bought?
The smallest possible number of candies Dzani bought is 11
How to determine the smallest possible number of candies Dzani bought?From the question, we have the following parameters that can be used in our computation:
4 jars and 3 remaining candles5 jars and 1 remaining candleRepresent the number of jars with x
So, we have
4x + 3 = 5x + 1
Collect the like terms
So, we have
5x - 4x = 3 - 1
Evaluate
x = 2
So, we have
Candles = 4 * 2 + 3
or
Candles = 5 * 2 + 1
Evaluate
Candles = 11
Hence, the smallest possible number of candies Dzani bought is 11
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Marie sold a total of $7,500 of kitchen appliances last month. If her commission is 8.5% of sales, how much commission did she earn?
Answer:
6.375
Step-by-step explanation:
8.5 percent of 7.500=6.375
What the line measures
PLEASE HELP!!! Inequality's
Answer:
(6,-3) should work but there are infinite answers
Step-by-step explanation:
Draw an angle in standard position with the given measure. 8/3 π
The asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.
What is the standard position of angles?
Standard position simply means that the vertex of the angle is at the origin of the circle and that one ray of the angle is on the positive x-axis. The other ray of the angle is placed at the angle measure formed by traveling counter-clockwise along the circle.
To draw an angle in standard position with measure 8/3 π, follow these steps:
Start with the positive x-axis.
Counterclockwise, rotate the initial side of the angle until it coincides with the positive x-axis.
Starting from the initial side on the positive x-axis, rotate the terminal side of the angle in a counterclockwise direction until the angle measures 8/3 π.
The resulting angle will have a measure of 8/3 π and will look like the following:
|
|
--------*-----------
|
|
Here, the asterisk (*) represents the vertex of the angle, the initial side is the positive x-axis, and the terminal side is the red line segment that forms an angle of 8/3 π with the positive x-axis.
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Solve 2x – 11 = k for x.
Answer:
(k+11)/2
Step-by-step explanation:
2x-11=k
2x=k+11
x=(k+11)/2
The triangle shown has an area of 46 square centimeters. Find the measure of the base (segment AB ). Triangle A B C. A line goes from point C to point D on side A B. Side A C is 11 centimeters, C B is 9 centimeters, and A B is question mark.
By answering the presented question, we may conclude that Therefore, triangle the length of the base AB is approximately 20.88 centimeters.
What precisely is a triangle?A triangle is a closed, double-symmetrical shape composed of three line segments known as sides that intersect at three places known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles are fewer than 90 degrees), good (one angle is equal to 90 degrees), or orbicular (all angles are higher than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is the triangle's height.
the length of the base AB,
Area = (1/2) * base * height
\(CB^2 = CD^2 + BD^2\\9^2 = x^2 + (AB - x)^2\\81 = x^2 + (AB^2 - 2ABx + x^2)\\AB^2 - 2ABx + 2x^2 = 81\\\)
We also know that the area of the triangle is:
\(46 = (1/2) * AB * CB\\46 = (1/2) * AB * \sqrt(x^2 + 81)\\Now we can solve for AB in terms of x:AB = (2 * 46) / \sqrt(x^2 + 81)\\AB = 92 / \sqrt(x^2 + 81)\\(92 / \sqrt(x^2 + 81))^2 - 2(92 / \sqrt(x^2 + 81))x + 2x^2 = 81\\\)
\(8464 / (x^2 + 81) - (184x) /sqrt(x^2 + 81) + 2x^2 = 81\\8464 - 184x(x^2 + 81) + 2x^2(x^2 + 81) * sqrt(x^2 + 81) = 81(x^2 + 81)\\2x^4 - 181x^2 + 7743 = 0\\x^2 = (181 + \sqrt(181^2 - 427743)) / (2*2)\\x^2 = (181 + sqrt(129961)) / 4\\x^2 = (181 + 361) / 4\\x^2 = 90^2 / 4\\x = 45\sqrt(2) / 2\\\)
\(AB = 92 / \sqrt(x^2 + 81)\\AB = 92 / \sqrt((45sqrt(2) / 2)^2 + 81)\\AB = 92 / \sqrt(4050)\\AB ≈ 20.88 cm\\\)
Therefore, the length of the base AB is approximately 20.88 centimeters.
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Challenge An airplane is preparing to land at an airport. It is 34,200 feet above the ground and is descending at the rate of 3,000 feet per minute. At the same airport, another airplane is taking off and
will ascend at the rate of 2,700 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem.
Explain which methods are easier to use and which are more difficult to use for the situation.
They will be at the same altitude in minutes, when their abitude will be feet.
Help me solve this
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At 6 minutes the two aeroplanes will be at the same altitude and 16200 be will at that altitude.
What is altitude?The altitude of a triangle is calculated by drawing a perpendicular line from its vertex to its opposite side. The altitude, also known as the triangle's height, forms a right-angle triangle with the base.
Given that an aeroplane is preparing to land at an airport. It is 34,200 feet above the ground and is descending at the rate of 3,000 feet per minute. At the same airport, another aeroplane is taking off and will ascend at the rate of 2,700 feet per minute.
Altitude equation:
y = 34200 - 3000x
y = 2700x
2700x = 34200 - 3000x
2700x + 3000x = 34200
5700x = 34200
x = 6
For altitude,
y = 2700x
y = 2700(6)
y = 16200
Hence, the two planes will be at the same altitude in 6 minutes, and 16200 will be at that altitude.
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0.65 is 10 times as much as and 1/10 of
Answer:
Step-by-step explanation:
0.65 is 10 times as much as 0.065
and it is 1/10 of 6.5
What is the fractional form of 0.8 repeating ? A 8/10 B. 1/8 C.8/9 D 8/11
Answer:
C
Step-by-step explanation:
8 divided by 9 = 0.8888...
let C be the curve y=5sqrtx for 1.1
We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
We have,
To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:
S = ∫(a to b) 2πy√(1 + (f'(x))²) dx
In this case,
f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).
Let's calculate the surface area:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx
Simplifying the expression inside the integral:
S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx
Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
To find the surface area of revolution about the x-axis of the function
f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx
Let's calculate the integral:
S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx
To simplify the calculation, let's simplify the expression inside the integral first:
S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx
Next, we can distribute the square root and simplify further:
S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx
Thus,
We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
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The volume of a cylinder is 5070 pi cm3. If the height is 30 cm, what is the radius?
Answer:
r =13
Step-by-step explanation:
on the picture
If it's helpful ❤❤
THANK YOU.
PLZZZZZ HELP MEEEE I WILL MAKE YOU BRANLIEST ANSWER THANKYOUUU!!!!!!
Cat face minus infinit supra 0?
Answer:
yes Cat face minus infinit supra 0!
)lol(
Step-by-step explanation:
11 players are going to practice in the batting cage. how many different orders are possible
Answer:
Step-by-step explanation:
PLS HELP ME ASAP IM SO CONFUSED?
Basically, Least Common Multiple(LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers. GCF/HCF ( Greatest/Highest Common Factor) is the highest number that divides exactly into two or more numbers.
Answers:
9) LCM of 36, 3, 12 = 36
GCF of 36, 3, 12 = 3
10) LCM of 6, 54, 12 = 108
GCF of 6, 54, 12 = 6
11) LCM of 16, 8, 12 = 48
GCF of 16, 8, 12 = 4
what are two solutions of x^2-2x-4=-3+9
Answer:
x^2-2x=10
a few more steps...
the answer is 1+the square root of 11
explain why the statement x < 3 or > 5 cannot be written 5 < x < 3
Answer:
This formula has no values, it is a false inequality. X can not be greater than 5, and less than 3.
Step-by-step explanation:
x < 3 or x > 5
This means, x is less than 3, but greater than 5.
Technically, you would write this as 5 < x < 3, however, this is a false inequality, and does not work.
Can someone who is good at math help me with my homework I can pay you!!!
The developers of a web site are tracking its number of adult users and teenage users. They found that the equation 48x + y = 729 models the number of teenage users over time, and the equation 135x − 2y = −140 models the number of adult users over time. In both equations, x is the number of years since 2000, and y is the number of users in thousands. During what year was the number of teenage users and adult users the same?
Answer:
So the year when both the amount of users were the same can be found by using the both equations to solve for x (since y is the same)
48x + y = 729
we will take the value of y from this equation and use it in the other equation
y = 729 - 48x
135x - 2y = -140
135x - 2(729 - 48x) = -140
135x -1458 + 98x = -140
231x = 1318
x = 1318/231
x = 5.7 years after 2000
(2 points) In the state of Indiana, 471700 people don't drive. If this is 8.9% of the population of Indiana residents aged 5 years and older, estimate the population of Indiana residents aged 5 years and older. Express your answer rounded to the nearest hundredth of a million.
You have that in the state of Indiana, 471700 people don't drive. And this population corresponds to the 8.9% of the total population of Indiana resident aged 5 years and older.
In order to calculate the Indiana residents aged 5 years and older, you can use the information about people don't drive and the percentage about it. You can write the given specification as follow:
x(8.9/100) = 471700
where the unknown value x is the total population. When this factor x is multiplied by 8.9/100 you are calculating the 8.9% of that value, which in this case is equal to 471700.
Then, you solve the last equation for x, just as follow:
x(8.9/100) = 471700
x(0.089) = 471700
x = 471700/0.089 = 5300000
Hence, the total population of Indiana resident aged 5 years or older are 5,300,000
Isabel Louw claims that she will pay R80 000 more over the period of 15 years. Verify whether th: tatement is valid or not.
If Isabel Louw is indeed paying R80,000 more over a period of 15 years, the total amount she would pay would be R1,200,000 more than the original payment.
To verify whether Isabel Louw's claim is valid or not, we would need more information about the context or specific terms of the agreement or payment plan.
Without additional details, it is not possible to determine the accuracy of the statement.
However, if we assume that the claim is related to a fixed payment over 15 years, we can calculate the amount she would pay in total by multiplying the additional amount of R80,000 by the number of years (15):
\(R80,000 \times 15 = R1,200,000\)
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Question: To verify whether Isabel Louw's claim is valid or not, we would need additional information. The statement mentions that Isabel Louw will pay R80,000 more over a period of 15 years, but it doesn't provide any context about what she is paying for or any specific details regarding the payments or interest rates involved. Without this information, it is not possible to determine the validity of the claim.
Sarah claims that she will score 20 points higher on her math exam compared to her previous test score. Verify whether this statement is valid or not.
A rabbit runs 35 miles per hour. A fox can run 21 miles in half an hour. Which animal is faster, and by how much?
Answer:
The fox can run faster by a factor of 7 miles per hour
Step-by-step explanation:
If the fox runs 21 miles in half of an hour, that means that by multiplying the fraction 21miles/0.5hours by 2/2 you can find that the fox runs 42 miles per hour, 7 miles per hour faster than the rabbit.
Answer:
The Fox, by 7 Miles per hour
Step-by-step explanation:
The rabbit runs 35 Miles per hour
The Fox runs 21 in half an hour
1 hour - 30 minutes = 30 minutes meaning we have to double the foxes miles
21 x 2 = 42
42>32
To find out by how much do 42-32 and we get 7 Miles per hour.
Determine whether the relation is a function. Explain.
Answer:
it is a function
Step-by-step explanation:
because every input has its own output.
Answer:
It's a function
Step-by-step explanation:
The relation is
Input x is by adding 3
= - 3 + 3=0
output y by substracting 6
= 11 - 6 = 5
Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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Sally uses her van to deliver boxes to shops.
She can put a maximum weight of 450 kg in the van.
Sally has to deliver 50 boxes to a shop.
Each box has a weight of 30 kg.
Work out the least number of times Sally has to drive to the shop to deliver all 50 boxes.
You must show all your working.
Answer:
1500kg
Step-by-step explanation:
50*30=1500
Given: ,
bisects ∠AEC.
A horizontal line has points A, E, D. 2 lines extend from point E. One line extends to point B and another extends to point C. A small box represents the angle for C E D.
What statements are true regarding the given statement and diagram?
∠CED is a right angle.
∠CEA is a right angle.
m∠CEA = One-half(m∠CEB)
m∠CEB = m∠BEA
m∠DEB = 135°
m∠AEB = 35°
Answer:
angle ced is a right ange
so the m angels debate =135 m angle aeb =35
so the answer is 135+35 =170
180 is a all side sim
=180-170=10 answer
Answer:
∠CED is a right angle.
∠CEA is a right angle.
m∠CEB = m∠BEA
m∠DEB = 135°
Solve for q if 5q-21/14=1
Answer:
q=0.5 or 1/2
Step-by-step explanation:
5q-21/14=1
add 21/14 to both sides
5q=2.5
divide both sides by 5
q=0.5 or 1/2
beinggreat78 pls answer .-.
Answer:
B) 49,062.5 ft²
Step-by-step explanation:
The area of a circle can be found using the following equation:
A(c) = πr²
Note:
A(c) = Area of circle
π = pi = 3.14
r = radius
The diameter of the circle is given to you. To find the radius, simply divide the diameter by 2:
Diameter/2 = Radius
Radius = 250/2 = 125
Next, plug in 125 into the Area formula for circle for r:
A(c) = πr²
A(c) = π(125)²
A(c) = π * 15625
A(c) = 3.14 * 15625
A(c) ≈ 49062.5
B) 49,062.5 ft² is your answer.
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