20 points!!!
Solve this system of lineal equations.separate the x- and y- values with a comma
12x=54-6y
-17x=-62-6y
you invest 1600 in an account that pays an interest rate of 6.5%, what is your balance after 6 years and round your answer to the nearest hundredth.
To calculate the balance after 6 years with compound interest, use the formula Balance = Principal * (1 + Interest Rate)^Time. Substituting the values, we find the balance to be approximately $2,243.89.
Explanation:To calculate the balance after 6 years, we need to use the formula for compound interest:
Balance = Principal * (1 + Interest Rate)^Time
Given that the principal (initial investment) is $1600 and the interest rate is 6.5%, we can substitute these values into the formula:
Balance = 1600 * (1 + 0.065)^6
Calculating this, we find that the balance after 6 years is approximately $2,243.89.
The balance after 6 years is approximately $2105.69.
Explanation:To find the balance after 6 years, we can use the formula for compound interest:
Balance = Principal(1 + Interest Rate)^Ti
Plugging in the given values, we have:
Balance = $1600(1 + 0.065)^6
Simplifying, we get:
Balance = $1600(1.065)^6
Calculating, we find that the balance after 6 years is approximately $oxed{2105.69}.
At what points does the curve r(t) = ti + (4t â t2)k intersect the paraboloid z = x2 + y2? (if an answer does not exist, enter dne.)
Final answer:
To find the intersection points of the curve r(t) with the paraboloid z = x^2 + y^2, we substituted the parametric forms into the equation and solved for t, yielding the points (0, 0, 0) and (2, 0, 4).
Explanation:
The student is asking about the intersection points of a curve r(t) with a paraboloid defined by z = x2 + y2. To find these points, we must substitute the parametric forms of x, y, and z from the curve into the equation of the paraboloid and solve for t.
Given the curve r(t) = ti + (4t - t2)k, we can identify the components of the curve as x(t) = t and z(t) = 4t - t2. The y-component is missing, which implies that y = 0. Now, substituting x(t) into the paraboloid equation, we get:
z = x2 + y2
4t - t2 = t2 + 02
By solving for t, we can determine the intersection points. Simplifying the equation, we get:
0 = 2t2 - 4t
Which gives us the solutions t = 0 and t = 2. Substituting these back into r(t) gives the intersection points (0, 0, 0) and (2, 0, 4).
7,746.90 times x = 7,901.84 what's x
7,746.90 times x = 7,901.84
divide both sides by x
x = 7,901.84 / 7,746.90
x = 1.020000258
round to 1.02
there are 24 sixth graders and 40 seventh graders. Mr chan wants to divide both grades into groups of equal size ,with the greatest possible number of students in each group. How many students should be in each group?
You have diving lessons every fifth day and swimming lessons every third day. Today you have both lessons. In how many days will you have both lessons on the same day again?
Alex was hired to unpack 576 items of glass wear, at five cents per piece unpacked. For every item broken in the process, however, Alex had to pay $1.98. At the end of the job, Alex received $22.71. How many items did Alex break.
Alex broke 3 glasses during the unpacking of the glasses.
As mentioned in the question, Alex was hired to unpack 576 items of glass wear, at five cents per piece unpacked. For every item broken in the process, however, Alex had to pay $1.98. At the end of the job, Alex received $22.71.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
The total amount earned for 576 glasses is given as,
= 576 × 0.05
= $28.80.
Amount earned = $22.71
Amount paid by Alex for the broken glass = $28.80 - $22.71 = 6.09
Total glass broked = 6.09 / 1.98 ≈ 3
Thus, Alex broke 3 glasses during the unpacking of the glasses.
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Yesterday, Chau had m baseball cards. Today, he gave 5 away. Using m , write an expression for the number of cards Chau has left.
what is 645 round to the nearest ten
Valentine purchased 200 beads for $48 to make necklaces. If she needs to buy 25 more beads,how much will she pay if she is charged the same rate?
An equivalent equation has been written by multiplying the second equation by 2. 4x – 9y = 7 4x – 9y = 7 2(–2x + 3y = 4) → –4x + 6y = 8
Answer: answer is (-19/2,-5)
Step-by-step explanation:
Round off446,221 to the nearest ten
Answer:
Answer when we round off 446,221 to the nearest ten is 446,220
Step-by-step explanation:
We need to round off 446,221 to the nearest ten.
Nearest ten to the 446,221 can be 446,220 or 446,230
Difference between 446,221 and 446,220 = 446,221 - 446,220 = 1
Difference between 446,221 and 446,230 = 446,230 - 446,221 = 9
Here the difference is minimum for 446,220
Answer when we round off 446,221 to the nearest ten is 446,220
Glenn invested $22,000 at 7% interest compounded annually. How much interest will Glenn earn in 3 years?
$19,826.24
$20,837.25
$2340.23
$4950.95
A new computer game has been developed and 80 veteran game players will test its market potential. of sixty players liked the game, what is the probability that any veteran game player will like the new computer game
3/4 is the probability that any veteran game player will like the new computer game.
What is Probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Given,
New computer game has been developed and 80 veteran game players will test its market potential.
In this sixty players liked the game.
We need to find the probability that any veteran game player will like the new computer game.
To find the probability we just need to divide sixty by 80.
60/80
3/4
Hence 3/4 is the probability that any veteran game player will like the new computer game.
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the sinclair family live 5.4 miles from southside middle school. how many feet away do they live?
The Sinclair family lives 28,512 feet away from Southside Middle School, calculated by multiplying 5.4 miles by the number of feet in one mile, which is 5,280 feet.
Explanation:The Sinclair family lives 5.4 miles from Southside Middle School. To convert this distance from miles to feet, we use the conversion factor that 1 mile is equal to 5,280 feet. To find the distance in feet, we multiply the number of miles by the number of feet in one mile:
5.4 miles imes 5,280 feet/mile = 28,512 feet.
Therefore, the Sinclair family lives 28,512 feet away from Southside Middle School.
1 1/4mi = ft, can someone explain this to me
The normal body temperature of a camel is 37°C. This temperature varies by up to 3°C throughout the day. Write and solve an absolute value inequality that represents the range of normal body temperatures (in degrees Celsius) of a camel throughout the day.
The range of normal body temperatures for a camel throughout the day is from 34°C to 40°C, inclusive.
To represent the range of normal body temperatures for a camel throughout the day, we'll use an absolute value inequality. Given that the normal body temperature is 37°C and it varies by up to 3°C, we can express this as:
|T - 37| ≤ 3
Where T represents the temperature of the camel throughout the day. This inequality ensures that the temperature remains within 3 degrees above or below the normal body temperature of 37°C.
To solve this inequality, we'll consider two cases:
1. When T - 37 is positive:
T - 37 ≤ 3
T ≤ 40
2. When T - 37 is negative:
-(T - 37) ≤ 3
-T + 37 ≤ 3
-T ≤ -34
T ≥ 34
Combining the two cases, the range of normal body temperatures for a camel throughout the day is 34°C to 40°C.
Write the slope intercept form of the equation of the line through the given points.
Explanation, please! Thank you!
Between white pair of numbers is a product of 200 and 89 and 7
Help me answer this? Thanks :)
Use the definition of the derivative to find the derivative of: f(t)=14−5tf(t)=14−5t.
f′(t)=
f′(t)=
what is the coefficient in the expression 3x/13+4?
Answer:3/13
Step-by-step explanation:
Just took test
What does e equal in e/2 < 3? Please help. I need a quick answer.
A pile of coins, consisting of quarters and half dollars, it worth $11.75. If there are 2 more quarters than half dollars, how many of each are there?
Let the number of half dollars be x,
number of quarters = x + 2
amount of half dollars = 0.5x
amount of quarters = 0.25(x + 2)
= 0.25x + 0.5
total amount = 0.5x + 0.25x + 0.5
= 0.75x + 0.5
0.75x + 0.5 = 11.75
0.75x = 11.25
x = 15
number of quarters = x + 2
= 15 + 2
= 17
There are 17 quarters and 15 half dollars.
Daily output of marathon's garyville, lousiana, refinery is normally distributed with a mean of 232,000 barrels of crude oil per day with a standard deviation of 7,000 barrels. (a) what is the probability of producing at least 232,000 barrels?
How many variables are displayed in a scatter plot
What is the magnitude of the vector product? 4.00i + 7.00j?
-4(n - 6) = 12
Solve the Equation.
How to write 645,300 in expanded form using exponents?
To express 645,300 in expanded form using exponents, it is written as [tex]6x10^{5} + 4x10^{4} + 5x10^{3}+ 3x10^{2}[/tex]x, breaking down each digit by its place value and expressing each as a power of 10.
To write the number 645,300 in expanded form using exponents, we break down each digit according to its place value and then express each of these as a power of 10. The place values for the number 645,300 are as follows:
600,000 which is 6 times 100,000
40,000 which is 4 times 10,000
5,000 which is 5 times 1,000
300 which is 3 times 100
Now we express these place values using exponents:
645,300 = [tex]6x10^{5} + 4x10^{4} + 5x10^{3}+ 3x10^{2}[/tex]
This notation shows the number 645,300 written as the sum of each digit multiplied by the appropriate power of 10 based on its position in the number.
General house cleaning (sweeping the floor vacuuming laundry) can burn 470 calories every two hour determine the unit rate
Answer:
The unit rate is 235 calories per hour.
Step-by-step explanation:
General house cleaning (sweeping the floor vacuuming laundry) can burn 470 calories every two hour determine the unit rate.
Unit rate means we have to find the calories burned in 1 hour.
Hence, calories burned in 1 hour = [tex]\frac{470}{2}= 235[/tex]
Answer :
The unit rate is 235 calories per hour.