Find the balance in the account after the given period.
$4,200 deposit earning 4.2% compounded monthly, after 2 years. Use the direction in the pic plz.
Answers
[tex]A=4200(1+ \frac{0.042}{12})^1^2^*^2 \\ = 4200(1+0.0035)^2^4 \\ = 4200(1.0035)^2^4 \\ = 4567.37[/tex]
Related Questions
What is the GCF of the numerator and denominator in the following fraction? -99/176
3
9
11
They are relatively prime.
Answers
176 = 16*11
Both factorizations have 11 show up. It turns out that 11 is the largest common factor.
Answer: C) 11
Note: if you divide both numerator and denominator by 11, then the fraction reduces to -9/16
the answer is 11 :))
How do you find x/2 + x/2 = 8/12
Answers
2x=8/6
6*2x=8/6*6
12x=8
x=8/12
x=0.66667
x/2+x/2=8/12
2x/2=8/12
divide both sides by 2, then multiply both sides by 2
x=8/12=2/3
This is a picture of a cube and the net for the cube. What is the surface area of this cube. Enter your answer in the box.
___ ft^2
Answers
16 x 16 = 256
There are 6 sides of a square. We then multiply this by the number of sides:
256 x 6 = 1536
Answer : 1536 ft squared
The value of the surface area of this cube is,
⇒ 1536 feet²
What is mean by Cuboid?A cuboid is the solid shape or three-dimensional shape. A convex polyhedron which is bounded by six rectangular faces with eight vertices and twelve edges is called cuboid.
Given that;
One side of a cube = 16 feet
We know that;
the surface area of this cube is,
⇒ 6 × (side)²
Here, Side = 16 feet
Thus, The value of the surface area of this cube is,
⇒ 6 × (side)²
⇒ 6 × (16)²
⇒ 6 × 256
⇒ 1536 feet²
Thus, The value of the surface area of this cube is,
⇒ 1536 feet²
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A convex pentagon has the following measurements for its interior angles: (x-8), (3x-11), (x+8), (x), and (2x+7). Which of the following could be measurements for interior angles of the pentagon? Select all that apply.
A: 60
B: 68
C: 76
D: 108
E: 193
F: 540
Answers
Answer:
60
Step-by-step explanation:
Does the equation y=14x represennt a proportinal relationship?
Answers
Compare with general form:
y=kx
Where k is the constant of proportionality.
Here k=14
So 1 unit increase in x will bring 14 times increase in y.
There is a direct relation between x and y.
Answer: Yes
Name the angle that is supplementary to < COB 1. AOF 2.COD 3.BOF 4.DOC
Answers
and when you add the two angles together, they shall equal 180°.
Hope this will help
To find the angle supplementary to <COB, we must look for an angle that adds up to 180 degrees with <COB. Assuming <COD is adjacent and forms a straight line with <COB, option 2. COD would be the supplementary angle.
The subject of this question is Mathematics, and it requires an understanding of angle relationships, particularly supplementary angles. Supplementary angles are two angles whose measures add up to 180 degrees.
Based on the given theorems and proofs, we must assume that the angles are situated such that finding the angle supplementary to <COB involves identifying an angle that, when combined with <COB, equals 180 degrees.
Given the options provided:
1. AOF2. COD3. BOF4. DOCThe correct answer to find the angle supplementary to <COB is 2. COD, assuming that <COB and <COD are adjacent angles forming a straight line.
Create an expression that is equivalent to 8 x 24z
Answers
Emma wrote the expression 2(3w-6) to represent the amount of money that Juan spent.Is she correct?Explain
Answers
Total money earned by Juan = 3w-6
Now Juan saved 1/3 of the money.
So money Juan spent will be 2/3 of what he earned.
Money Juan spent :
[tex] \frac{2}{3} (3w-6) [/tex]
Simplifying we get :
2w-4
Emma wrote the expression as 2(3w-6) which is not equal to 2w-4.
So we can say that the expression found by Emma was incorrect .
96470000 in scientific notation
Answers
Answer: The answer is 9.647*10^7
Step-by-step explanation: in scientific notation or in standard form the expression can be written as.
9.647*10^7
This was achieved by counting one decimal place after the first digit and multiplying the the whole number by 10 raised to the power of the number counted from the write to the decimal point
The number 96,470,000 in scientific notation is written as 9.647 × 10⁷.
Given is a number we need to write it into scientific notation,
In scientific notation, a number is expressed as a product of two parts: a coefficient and a power of 10. The coefficient is a number between 1 and 10, and the power of 10 indicates the number of places the decimal point needs to be moved to obtain the original number.
To convert 96,470,000 to scientific notation, we start by moving the decimal point to the left until we have a coefficient between 1 and 10. In this case, we need to move the decimal point 7 places to the left, which gives us 9.647.
The next step is to determine the power of 10. Since we moved the decimal point 7 places to the left, the power of 10 is 7.
Therefore, we can express 96,470,000 in scientific notation as 9.647 × 10⁷.
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Can someone help me please?
Answers
.. walkway area = π*(11 m)^2 -π*(9 m)^2 = π*(121 -81) m^2 = 40π m^2
In terms of the length of the walk and its width:
.. walkway area = 2*π*(10 m)*(2 m) = 40π m^2
b) The approximate area is
.. 40*3.14 m^2 = 125.6 m^2
Helen earns $1,840 per month, after taxes. Of her monthly pay, 45% is for rent, 1/10 is for utilities, and 1/5th is for food. How much money does Helen have left after all these expenses?
Answers
The first step is to find how much money 45% of $1840 is. When you multiply 0.45 by 1840 I got 825. So 45% of $1840 is $840.
Then I needed to find what 1/10 of $1840 is. 1/10 is equal to 10%, or 0.1. If you multiply 0.1 by 1840 you get 184. So 1/10 of $1840 is $184.
1/5 is equal to 20%, or 0.2. Take 0.2 and multiply it by 1840 and get 368. So, 1/5 of $1840 is $368.
I then added all three numbers, 825, 184, and 368, toghter and got 1377.
So now we know that $1377 is used to pay for Helen's expenses.
The last step is to subtract 1377 from 1840 to get the final answer of 463.
So, Helen has $463 dollars left after all her expenses.
The amount of money that Helen would have left after all these expenses is $460.
What is the amount left?In order to determine the amount that would be left, determine the money value of the expenses, add the expenses together and subtract it from the earnings.
Amount spent on rent = 45% x 1840 = $828Amount spent on utilities 1/10 x 1840 = $184 Amount spent on food = 1/5 x 1840 = $368Total value of expenses = 1380Amount left = 1840 - 1380 = $460
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a rock band has 5 members, and 2/5 of the members play string instruments. Also, 0.4 of the members sing. does the band have the same number of string instrument players as singers?
Answers
A sugar solution was made by mixing 3 gal. of a 50% sugar solution and 9 gal. of a 30% sugar solution. Find the concentration of the new mixture.
Answers
mix = [tex] \cfrac{\text{concentrate} \times gallons+\text{concentrate} \times gallons}{\text{the total number of gallons}} [/tex]
Input the numbers
mix = [tex] \cfrac{50 \% \times 3+30 \% \times 9}{3+9} [/tex]
simplify the dividend and divisor
mix = [tex] \cfrac{150 \%+270 \%}{12} [/tex]
mix = [tex] \cfrac{420 \%}{12} [/tex]
mix = [tex] \cfrac{420 \%}{12} [/tex]
mix = 35%
The new concentration is 35%
The gas tank of your car is 40% full. There are 8 gallons of gas in the tank. What is the capacity of the gas tank? (How many gallons cam your tank hold?)
Please explain!
Answers
(8 gal)/0.40 = capacity = 20 gal
The tank can hold 20 gallons of gas.
The capacity of the gas tank is 20 gallons
.To determine the capacity of the gas tank, we can set up a proportion based on the information given. We know that the tank is 40% full and contains 8 gallons of gas. Let's denote the total capacity of the tank as C gallons.Since 40% of the tank's capacity is equal to the 8 gallons of gas currently in the tank, we can write the following equation: [tex]\[ 0.40 \times C = 8 \[/tex]. To find the total capacity C, we divide both sides of the equation by [tex]0.40:\[ C = \frac{8}{0.40} \[ C = 20 \].[/tex] Therefore, the capacity of the gas tank is 20 gallons. This means that when the tank is completely full, it can hold 20 gallons of gas.
A boat travel 312 miles each way downstream and back. The trip downstream took 13 hours. the trip back took 26 hours. What is the speed of the boat in still water. what is the speed of the current.
Answers
Let [tex]S _{b} [/tex] be the speed of the boat in still water and [tex]S_{c} [/tex] the speed of the current.
Now, for the downstream trip the boat is traveling with the current, so:
[tex]S_{b} +S_{c} = \frac{156}{13} [/tex]
[tex]S_{b} +S_{c} =12[/tex] this will be our equation (1)
For the trip back the boat is traveling against the current, so:
[tex]S _{b} -S_{c} = \frac{156}{26} [/tex]
[tex]S_{b} -S_{c} =6[/tex] this will be our equation (2)
Next, lets add equation (1) and equation (2) to get rid of [tex]S _{c} [/tex]:
[tex] \left \{ {{S_{b}+S_{c} =12} \atop {+(S_{b}-S_{c} =6})} \right. [/tex]
[tex]2S_{b} =18[/tex]
[tex]S _{b} = \frac{18}{2} [/tex]
[tex]S _{b} =9[/tex]
Finally, now that we know the speed of the boat in still water, lets replace that value in our equation (1) to find the speed of the current:
[tex]9+S_{c} =12[/tex]
[tex]S_{c} =12-9[/tex]
[tex]S_{c} =3[/tex]
We can conclude that the speed of the boath in still water is 9[tex] \frac{mi}{h} [/tex], and the current of the stream is 3[tex] \frac{mi}{h} [/tex].
this year cornell's class took one more than three times as many field trips as last year's class. this year, cornell's class took a total of 7 trips. How many fields trips did bis class take last tera
Answers
Cornell's class took 2 field trips last year. This is determined by setting up and solving the equation based on the given information.
Explanation:To solve this problem, we need to set up an equation. Given in the problem that Cornell's class took one more than three times as many field trips as last year's class, we can represent this as 3x + 1 = y, where x is the number of field trips last year and y is the number of field trips this year. We know that y is 7 so we can substitute this into our equation getting 3x + 1 = 7.
To find x, you would subtract 1 from both sides of the equation giving 3x = 7 - 1, which simplifies to 3x = 6. Finally, dividing both sides of the equation by 3 gives us x = 2, so Cornell's class took 2 field trips last year.
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Tom borrowed $35,000 to remodel his house. At the end of 5-year loan, he had repaid a total of $46,375. At what simple interest rate did he borrow the money? How can I find the answer to this?
Answers
11375=35000(r)(5)
11375=35000(5)(r) ----- remember that multiplication is commutative
11375=175000r
Divide both sides by 175000 to cancel it:
11375/175000 = 175000r/175000
0.065 = r
To convert this to a percentage, we multiply by 100:
0.065(100) = 6.5%
If the equation y = x + 4 is changed to y = x - 2, how will the graph of the equation change?
A) The original graph will shift 2 units down.
B) The original graph will shift 6 units down.
C) The original graph will shift 6 units to the left.
D) The original graph will shift 2 units to the left.
Answers
Answer:
The original graph will shift 6 units down.
Step-by-step explanation:
Given : If the equation y = x + 4 is changed to y = x - 2.
To find : How will the graph of the equation change.
Solution : We have given
Original graph equation : y = x + 4.
Transformed equation : y = x -2.
y = x + 4 →→ y = x - 2.
If we subtract the 6 from 4 it become - 2
We can see x + 4 -6 = x -2 .
So , y = x +4 -6 →→ y = x - 2.
By the transformation rule : f(x) →→ f(x) - k it mean graph shifted down by k units.
Then the original graph will shift 6 units down.
Therefore, The original graph will shift 6 units down.
Volunteer has 12 pounds of birdseed to put in bird feeders in all of the city parks. There are 3/1/4 cups of birdseed in a pound and each bird feeder holds about 3/4 cup of birdseed. How many birdfeeders can the volunteer fill completely
Answers
Find total number of cups of seed in 12 pounds.
1 pound= 3 1/4 cups
=3 1/4 cups * 12 pounds
=39 cups
STEP 2:
Find number of feeders that can be filled with 39 cups of seed.
1 feeder= 3/4 cups of seed
= 39 cups ÷ 3/4 cup of seed
Multiply by the reciprocal
= (39*4)/3
=156/3
=52 feeders can be filled
Hope this helps! :)
during the 8-month shrimping season in the Gulf mexico, 325 shrimpers caught 4,913,977 pounds of shrimp and sold the shrimp $2 per pound. if that money was split evenly between each of the shrimpers, how much money would each receive? (round your answer to the nearest dollar) and show ur work plzzzzzz
Answers
Find the $ total sold. Multiply total pounds by $2 sale price per pound.
=4,913,977 pounds * $2 a pound
=$9,827,954 total sold
STEP 2:
Divide the total sold above by the 325 shrimpers.
=$9,827,954 ÷ 325
=$30,239.858
Rounded to nearest dollar:
Each of the 325 shrimpers will take home $30,240.
Hope this helps! :)
Jake carries a green a yellow and a black guitar pic in his pocket he randomly chooses a guitar pic from his pocket before every concert what is the probability he will select the same color pic for two concerts in a row
Answers
Next, since there are two concerts lets multiply 3 times 2 which will equal 6 for the denominator.
Third, since there are going to be one color chosen two times in a row it'll be 2 for the numerator.
It's going to be 2/6 but simplified it'll be 1/3.
Answer:
1/3 :)
Step-by-step explanation:
if you do the math it eqals 2/6 but if you simplify it its 1/3 i did this test and got 100% ur welcome
Round 165,454 to the nearest hundred thousands place
Answers
Hope this helps =)
A full grain silo empties at a constant rate. write an expression to determine the amount of grain left after s seconds
Rate: 3.5 ft 3/s
I'm asking this question again because this is urgent!
Answers
To calculate the remaining amount of grain in a silo discharging at a constant rate, we subtract the total amount discharged (rate times time) from the initial amount. This can be expressed as 'G = I - 3.5s' where 'G' is the amount of grain left after 's' seconds, 'I' is the initial amount, and '3.5' is the discharge rate in ft3/s.
Explanation:If the silo empties at a constant rate, it can be modeled with linear equations. In this case, the rate of grain being emptied from the silo is 3.5 units of grain every second. Please note that to find the amount of grain left after a certain amount of time, we need to know the initial amount of grain in the silo, let's call it 'I'.
For your problem the general mathematical expression would be: total amount of grain left = initial amount of grain (I) - (rate × time),
If we denote the amount of grain left after 's' seconds as 'G', we can write the equation as: G = I - 3.5s
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What is the sum of the following amounts of money: $10.15 + $31.60 + $34.75 + $40 + $69.25 + $54.75?
Answers
To find the sum, add each amount together, starting from the ones place and carrying over any excess to the next place value. The total sum is $256.15.
Explanation:To find the sum of the amounts of money, you will add each amount together. $10.15 + $31.60 + $34.75 + $40 + $69.25 + $54.75. Starting with the ones digit, you have 5 + 0 + 5 + 0 + 5 + 5 = 20. Write down 0 and carry over the 2 to the tens place. Next, add the tens place digits, which gives you 1 + 6 + 7 + 0 + 2 + 4 = 20. Write down 0 again and carry over the 2 to the hundreds place. Finally, add the numbers in the hundreds place, which equals 0 + 3 + 3 + 0 + 6 + 5 + 5 = 22. Write down 2 and add it to the sum. The total sum of the amounts of money is $256.15.
The sum of $10.15, $31.60, $34.75, $40.00, $69.25, and $54.75 is calculated by adding each value together, which results in a total of $242.50.
Explanation:To calculate the sum of the amounts of money $10.15, $31.60, $34.75, $40, $69.25, and $54.75, you simply need to add each of these values together. Adding money involves lining up the decimal points and adding each column from right to left, just as with regular addition. Here's how you do it step by step:
First, write down all the numbers, aligning the decimal points:$10.15$31.60$34.75$40.00 (adding the .00 for consistency)$69.25$54.75Next, add the numbers in the rightmost column (the cent column), carry over if necessary, then move to the next column to the left (the dollar column), and do the same:
15 + 60 + 75 + 00 + 25 + 75 = 250 cents which is $2.50 (50 cents and $2 carried over)Then add the dollar amounts: $10 + $31 + $34 + $40 + $69 + $54 + $2 (carried over) = $240Add both totals together:
$240 (dollars) + $2.50 (cents) = $242.50Therefore, the sum of the amounts of money is $242.50.
In this box-and-whisker plot, what is the maximum value of the data?
53
56
60
68
Answers
D. 68
Good Luck
Hope This Helps!
The answer is 68
Hope I could help you!
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Thurston wants to retire in Nevada when he is 80 years of age. Thurston, who is now 55, believes he'll need $400,000 to retire comfortably. To date, he has set aside no retirement money. To get an interest rate of 6% compounded annually, he'll have to invest today. Using the tables found in the textbook, determine how much he must invest.
Answers
To have $400,000 for retirement in 25 years with an annual interest rate of 6% compounded annually, Thurston must invest $93,171.77 today.
Explanation:Thurston must calculate how much he needs to invest today to have $400,000 when he is 80 years old, given that he is currently 55 years old and the investment will yield 6% interest compounded annually. To find this amount, we use the formula for the present value of a lump sum, which takes into account the future value desired, the interest rate, and the number of compounding periods. The formula is:
PV = FV / (1+r)n
Where PV is the present value, FV is the future value, r is the annual interest rate, and n is the number of years until retirement.
In Thurston's case:
FV = $400,000 (the amount he needs for retirement)r = 0.06 (6% interest rate)n = 80 - 55 = 25 years (number of years until retirement)Plugging these values into the formula gives us:
PV = $400,000 / (1+0.06)25
PV = $400,000 / (1.06)25
PV = $400,000 / 4.29187072
PV = $93,171.77 (rounded to two decimal places)
Thus, Thurston must invest $93,171.77 today to retire with $400,000 in 25 years at an annual interest rate of 6% compounded annually.
At a factory, a mechanic earns $17.25 an hour. The president of the company earns 6 2/3 times as much for each hour he works. the janitor at the same company earns 3/5 much as the mechanic. How much does the company pay for all three people employees' wages for one hour of work
Answers
Further explanation
Order of Operations in Mathematics follow this following rule :
ParenthesesExponentsMultiplication and DivisionAddition and SubtractionThis rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.
Let us tackle the problem!
At a factory, a mechanic earns $17.25 an hour
[tex]\texttt{ Mechanic's Wage } = \$17.25[/tex]
The president of the company earns 6 2/3 times as much for each hour the mechanic works
[tex]\texttt{ President's Wage } = 6\frac{2}{3} \times \texttt{ Mechanic's Wage }[/tex]
[tex]\texttt{ President's Wage } = 6\frac{2}{3} \times \$17.25[/tex]
[tex]\texttt{ President's Wage } = \$115[/tex]
The janitor at the same company earns 3/5 much as the mechanic
[tex]\texttt{ Janitor's Wage } = \frac{3}{5} \times \texttt{ Mechanic's Wage }[/tex]
[tex]\texttt{ President's Wage } = \frac{3}{5} \times \$17.25[/tex]
[tex]\texttt{ President's Wage } = \$10.35[/tex]
Total all three people employees' wages for one hour of work
[tex]\texttt{ Total Wages } = \$17.25 + \$115 + \$10.35[/tex]
[tex]\texttt{ Total Wages } = \boxed{\$142.60}[/tex]
Conclusion:The company pays $142.6 for all three people employees' wages for one hour of workLearn morePerimeter of Rectangle : https://brainly.com/question/12826246Elimination Method : https://brainly.com/question/11233927Sum of The Ages : https://brainly.com/question/11240586Answer detailsGrade: Middle School
Subject: Mathematics
Chapter: Order Of Operations
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent
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Principal Jenkins has a portion of the basketball court that needs to be repaved. This portion of the court has been split into three sections. Use the drawing of the damaged section below to complete the statements that follow.
The area of section 1 is_________ square feet, the area of section 2 is________
square feet, and the area of section 3 is_____________ square feet.
The area of the basketball court that needs to be repaved is
square feet.
Answers
section 2 = 4 x 10 = 40 ft
section 3= 2 x 3 = 6 ft
20 PTS HELPPPPPPP PLEASE
Solve the system of equations using the linear combination method.
{4x−3y=12
7x−3y=3
Enter your answers in the boxes.
x =
y =
Answers
Happy to help. I’ve solved problems similar to this before.
Here is how to solve:
Add the equations in order to solve for the first variable.
Plug this value into the other equations in order to solve for the remaining variables.
x= -3 and y= -8
I hope this benefits you in he best way!
If you need further explanation please let me know.
~Brooke❤️
Answer:
ummm, ohhh i just realized that i entered in the wrong question and i was so confused lol
Step-by-step explanation:
The function y= -16t^2 +24t represents the height y (in feet) of a tennis ball bouncing straight up from the ground t seconds after it bounces. After how many seconds does the tens ball return to the ground?
Answers
Answer:
-16t² + 24t = 0
-8t(2t - 3) = 0
t = 1.5 seconds
The tennis ball returns to the ground in 1.5 seconds.
The tennis ball returns to the ground after [tex]\(\frac{3}{2}\)[/tex] seconds.
To find when the tennis ball returns to the ground, you need to determine when the height y is equal to zero. In the given function [tex]y = -16t^2 + 24t\)[/tex], set y equal to zero and solve for t:
[tex]\[ -16t^2 + 24t = 0 \][/tex]
Factor out 8t from both terms:
[tex]\[ 8t(-2t + 3) = 0 \][/tex]
Now, set each factor equal to zero:
1. 8t = 0: This gives t = 0.
2. -2t + 3 = 0: Solve for t.
[tex]\[ -2t = -3 \][/tex]
Divide both sides by -2:
[tex]\[ t = \frac{3}{2} \][/tex]
So, the two solutions are t = 0 and [tex]\(t = \frac{3}{2}\)[/tex]. However, \(t = 0\) corresponds to the initial bounce, and we are interested in the time it takes for the ball to return to the ground after the first bounce.
Therefore, the tennis ball returns to the ground after [tex]\(\frac{3}{2}\)[/tex] seconds.