The amount of money in the account after 6 years is $68,847.56
To solve this problem, you can use the formula for compound interest,
V = Pe^(rt)where V is the final value of the account, P is the initial principal, r is the annual interest rate (expressed as a decimal), and t is the number of years the money is invested.
The formula for compound interest, V = Pe^(rt) is used to calculate the future value of an investment. It takes into account the effect of compounding, which means that interest is earned not only on the initial investment but also on the accumulated interest over time.
Plugging in the given values, we have
V = 51200e^(0.0546) = 51200e^0.324. e^0.324 is approximately 1.38, so the final value of the account is 512001.38 = $68,847.56
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please help me on this question. i can give brainliest!!
Answer:
The correct answers are A D E
Step-by-step explanation:
HELP ME PLEASEEEEE I WILL GIVE THE BRAINLY THING
I WILL GIVE BRAILIEST PLEASE HELP
Answer:
$3.49 for the muffin, and $2.96 for the coffee
Step-by-step explanation:
(3.25)(1.075) = 3.49
(2.75)(1.075) = 2.96
How to find the factor to multiply by
1.075 = 1+.075, 7.5% = 7.5/100 = .075
2. Answer: $0.45
Explanation:
2.75x.075=.24375
3.25x.075=.20625
.24375+.20625=0.45
3. Answer: $91.80
Explanation:
85x0.08=6.80
6.80+85=91.80
4. Answer: $728.75
Explanation:
687.50x.06=41.25
41.25+687.50
5. Answer: $17.28
Explanation:
216x.08=17.28
6. Answer: $0.99
Explanation:
8.5x0.06=0.51
0.51+8.50=9.01
10-9.01=0.99
11 of 5011 of 50 Questions Question 11 Three classrooms are trying to raise $1,200.00 for charity. Mrs. LeBlanc's class has raised 50% of the total needed. Mr. Patel's class has raised $235.14. Ms. Warner's class has raised one-third as much as Mrs. LeBlanc's class. How much more money is needed to reach the goal of $1,200.00
$164.86 more is needed to reach the goal of $1,200.00.
First, we need to find out how much money Mrs LeBlanc's class has raised since they have raised 50% of the total needed. We can do this by multiplying the total needed by 50%:
$1,200.00 * 50% = $600.00
Next, we need to find out how much money Ms Warner's class has raised since they have raised one-third as much as Mrs LeBlanc's class. We can do this by multiplying the amount raised by Mrs LeBlanc's class by one-third:
$600.00 * 1/3 = $200.00
Now we can add up the amount raised by all three classes to see how much has been raised in total:
$600.00 (Mrs. LeBlanc's class) + $235.14 (Mr. Patel's class) + $200.00 (Ms. Warner's class) = $1035.14
Finally, we can subtract the total amount raised from the goal amount to find out how much more is needed:
$1,200.00 - $1,035.14 = $164.86
So $164.86 more is needed to reach the goal of $1,200.00.
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Pls help quickly. Calculate the bearing of Y from
Z.
N
X
135°
z+
105°
Z
Y
Not draw
The bearing of point Y from point Z is 30 degrees.
What is the bearing of a point?
The bearing of a point is the angle measured in degrees clockwise from a reference direction (usually north). To find the bearing of point Y from point Z, we need to determine the angle between the line connecting point Z to point Y and the reference direction.
we know that the bearing of point X from point Z is 135 degrees, and the bearing of point X from point Y is 105 degrees.
we can use the following mathematical relationship to find the bearing of point Y from point Z:
Bearing of Y from Z = (Bearing of X from Z) - (Bearing of X from Y)
Substituting the values we know:
Bearing of Y from Z = 135 - 105 = 30 degrees
Hence, the bearing of point Y from point Z is 30 degrees.
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For Both Problems, solve for x. Show your work and explain your thinking.
We know that the inside angle of a triangle is 180 so 180 takeaway 46+86=
48 and 48/6=8
so the answer is 8
GOOD LUCK IN BRAINLY!
Answer:
x = 12°
Step-by-step explanation:
46° + 86° + 4x = 180°
132° + 4x = 180°
4x = 48°
x = 12°
Item 9
Use the table to write a proportion. Game 1 6 penelties 16 minutes game 2 8 penelties m minutes how many minutes and what is a proportion
The value of the minutes in the game 2 is 3 and the proportion is 8/3.
As per the question,
Game 1 has, 6 penalties in 16 minutes and Game 2 has 8 penalties in m minutes.
Now, we have to form a proportion,
A proportion is a fractional relation between any two quantities.
So, if we say that the penalties in every game are in proportion, we write a proportion of penalties per minute.
6/16 = 8/m
m = 6x8/16
m = 3
So, the penalties in the game 2 are 3 and the proportion is 8/3.
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Steven is training for a race. He can currently run 1 mile in 7 minutes and wants to improve his time by 10 seconds each week until he can run one mile in 5 minutes. Which equation should Steven use to calculate the number of weeks (w) it will take him to reach his goal time of 5 minutes?
a) 7 - 10w = 5
b) 10w + 7 = 5
c) 10w - 7(60) = 5(60)
d) 7(60) - 10w = 5(60)
What is the answer to inequality?
The direction of inequality is reversed when you multiply or divide both sides by a negative value.
When expressions are compared using the operators "less than" (), "less than or equal to" (=), "greater than" (>), or "greater than or equal to" (>=), an inequality is created.
Example- x + 3 <= 10
A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not.
The solution set of an inequality is the set of all solutions.
The solution set of example 1 is the set of all x <= 7. In interval notation, this set is (-inf, 7], where we use inf to stand for infinity.
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PLS PLS OH YES PLS JUST HELP YES I NEED HELP PLSSSSS HELP QUICKLY PLS I GIVE BRAINLIEST I RLLY DO JUST PLS I AM YES PLS BRAINLIEST WILL BE GIVEN PLS OH PLS PEOPLE I NEED HELP FAST OH PLS NOW
Answer:
Vaporization
Step-by-step explanation:
help me please it’s simple :( thank u
Help me please (no links please)
a) This part is already complete I think..
b) This is a cuboid and lateral surface area of cuboid is: 2(lb +bh + hl)
= 2( 10 × 3 + 3 × 7 + 7 × 10)
= 2(30 + 21 + 70)
= 2 × 121 = 242 cm²
Now, the area of top & bottom: lb
= 2 × 10 × 3
= 60 cm²
Neglecting the top & bottom surface area of cuboid:
= 242 - 60
= 180 cm²
c) The total surface area us 242.. I have already done that part above...
__________________________
If i have done something wrong.. please lemme know :)
Part 1
Hi I really need help with some of these questions please I'm on a tight schedule with getting the rest of my work done so please if anyone can please help me I'm giving 45 points away please help me.
Also on the ones where you need to show the work please do if you can
I will post another part or these question and it will be worth 30 points
Answer:
1) c. AD || CE
2) solve them both first:
3y + 1 = 6x + 4 2y + 1 = x - 9
3y = 6x + 3 2y = x - 10
y = 2x + 1 . y = 1/2x - 5
Parallel lines should have the same slope and they are definitely not the same line, so both A and C are eliminated
Perpendicular slopes should be negative reciprocals of each other. If they were negative reciprocals one slope would be either -2 or -1/2, which means that they're not perpendicular either.
The answer is D, neither parallel nor perpendicular.
3) to find the midpoint of a line, add the x coordinates and divide by 2 and add the y coordinates and divide by 2.
[tex](\frac{-6+1}{2},\frac{1+8}{2} )\\\\=(\frac{-5}{2},\frac{9}{2} )\\\\=(-2\frac{1}{2} ,4\frac{1}{2} )[/tex]
The answer is D.
4) d. GB || HC
5) d. 345.6
[tex]A=2\pi rh\\\\A=2\pi (5)(11)\\\\A=2\pi (55)[/tex]
A ≈ 345.58 ≈ 345.6
6) first change the other equation (4x + 2y = 10) to slope-intercept form:
2y = -4x + 10
y = -2x + 5
because the line must be parallel, it has to have a slope = -2
That automatically eliminates all answers except for D, so you don't even have to do the work to make the other equation.
7) best bet is a. EH and BC are coplanar, but I'm really not sure
8) d. DB and HF
9) first change the other equation (4x - 6y = 15) to slope-intercept form:
-6y = -4x + 15
y = 2/3x - 5/2
slope of the perpendicular line should be -3/2
y = -3/2x + a
9 = -3/2(6) + a
9 = -9 + a
a = 18
y = -3/2x + 18
which is the same as y - 9 = -3/2(x - 6), which is A
At a yard sale,Dan bought a used lawnmower for $60. that was 30% of what the mower cost when it was new. What was the original price of the lawnmower?
Answer:
30/100 X $60= $18.
The original price will be $60 + $18 = $78.
i have two crushes at school one is in twelveth grade the other is in 10th grade and they both have crushes on me what should i do girls
Answer:
Uhh which one do you like the best? and then if you don't work out go to the other one but if they are friends then pick one and don't date the other :)
Step-by-step explanation:
I need help not bad like ASAP but need help
22. The table shows the number of students
going on a field trip. One chaperone is
needed for every 12 students.
Fifth grade students 310
Sixth grade students 305
Seventh grade students 225
Write two equations with variables that you can use to find a number of chaperones needed
How many chaperones are needed?
Answer:
Step-by-step explanation: i'd say jus divide
Eva gets £42 a month for her allowance. Out of this, for every £5 she spends, she saves £1 how much money does she spend in a month
Answer:
Eva spends £35 in a month.
Step-by-step explanation:
We know that Eva gets £42 a month for her allowance and for every £5 she spends, she saves £1.
We are looking to find out how much money does she spend in a month.
To calculate this, we can use the following formula:
Spent money = Allowance - (Allowance / (5 + 1))
Plugging in the known values:
Spent money = 42 - (42 / (5 + 1))
Spent money = 42 - (42 / 6)
Spent money = 42 - 7
Spent money = 35
So, Eva spends £35 in a month.
Is 9x2 42x 49 a perfect square trinomial?
No, 9x2 42x 49 is not a perfect square trinomial.
What is perfect squares?Perfect squares are numbers that are the product of a number multiplied by itself. Examples of perfect squares include 4 (2 x 2), 9 (3 x 3), 16 (4 x 4), 25 (5 x 5), 36 (6 x 6), 49 (7 x 7), and 64 (8 x 8). Perfect squares are also referred to as "square numbers" or "whole-number squares."
No, 9x2 42x 49 is not a perfect square trinomial. A perfect square trinomial is a polynomial of the form a2 + 2ab + b2,
where a and b are numbers or variables.
9x2 42x 49 does not fit this pattern, as it does not involve two terms whose sum is multiplied by itself.
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Circumference question
1. Suppose a bottle of Buckley's has a radius of 2cm. You need to
create a label for this product. What is the length of this label?
2. Assumes the company uses 22cm x 12cm boxes for delivery to stores. How many vials will be in each box?
suppose the price of each vial is $5.00. What is the cost of a box?
12.57 cm is the length of the label on bottle.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
Given that a bottle of Buckley's has a radius of 2cm
You need to create a label for this product
We need to find the length of this label.
Means we need to find the circumference of the bottle.
The formula for circumference is
C=2πr
Given radius is 2cm
C=2×3.14×2
C=12.57 cm
Hence, 12.57 cm is the length of the label on bottle.
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The hexagon below has been reduced by a scale factor of One-third.
What is the area of the reduced hexagon?
8 inches squared
12 inches squared
24 inches squared
36 inches squared
Answer:
8
Step-by-step explanation:
An ecologist studying starfish populations collects the following data on randomly selected 1-meter by 1-meter plots on a rocky coastline
--The number of starfish in the plot
--The total weight of starfish in the plot
--The percentage of area in the plot that is covered by barnacles (food for starfish)
--Whether or not the plot is underwater midway between high and low tide
How many of these measurements can be treated as contituous random variables and how many as discrete random variables?
Answer:
2 continous random variable
1 discrete random variable
A fourth variable that cannot be treated as random.
Step-by-step explanation:
A continous random variable differs from a discrete variable in a few ways ; Continous random variables are usually uncountable as they can take up an infinite number of values within an interval. These variables may include those obtained by measurement such as height, weight, distance and so many other decimal yielding values. Discrete random variables in the other hand are countable and values can be obtained by counting as successive values are usually whole numbers.
In the scenario above ;
The weight of starfish and percentage area on the plot are continous variables while the number of starfish is discrete.
Whether or not plot is underway or midway between high and low tide isn't a random variable.
The function f is defined by f(x) = mx + b, where m and b are constants. If f(0) = 18 and f(1) = 20, what is the
value of m?
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol.
What are 3 examples of a constant?A few more constant examples are :
The number of days in a week represents a constant.
In the expression 5x + 10, the constant term is 10.In 2a, 2 is a constant.In -7mn, -7 is a constant.In 3x, 3 is constant.A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number. Example: in "x + 5 = 9", 5 and 9 are constants.There are four major constants that appear within mathematical calculations. These math constants are used in a whole variety of equations and formulae and are repeatedly seen in a variety of areas.The easiest way we can find a constant term in math is to look first for stand-alone numbers, and then for coefficients and variables that can be solved for. A variable cannot be solved for and return only one value if it has an exponent, such as x^2.A function is called no constant if it takes more than one value (if there is more than one element in its range).Substitute:
m*o+b=18
m+b=20
Apply Zero Property of Multiplication:
b=18
m+b=20
Substitute into one of the equations:m+18=20
Rearrange unknown terms to the left side of the equation:m=20-18
Calculate the sum or difference:m=2
The solution of the system is:
b=18
m=2
The answer is b=18 m=2
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Which two fractions name point R on the number line?
Answer:
what number line?
Step-by-step explanation:
I don't see any ?
Tacoma's population in 2000 was about 200 thousand, and has been growing by about 8% each year. If this continues, what will Tacoma's population be in 2012?
Answer:
503634
Step-by-step explanation:
The formula for calculating future value:
FV = P (1 + r) n
FV = Future value
P = Present value
R = interest rate
N = number of years
200,000(1.08)^12
By some estimates, about 30% of all males have a particular defect related to their eyes. How would you assign random numbers to conduct a simulation based on this
statistic?
Answer:
related to their eyes. How would you assign random numbers to conduct a simulation based on this
What is the value of the expression 9 + ( fraction 1 over 2 )4 ⋅ 48? (1 point)
A. 12
B. 15
C. 17
D. 18
Answer:
A. 12
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
9 + (1/2)⁴ · 48
Step 2: Evaluate
Exponents: 9 + 1/16 · 48Multiply: 9 + 3Add: 12Can some help me with my delta math I’m failing my math class
Answer:
Same
Step-by-step explanation:
Answer:
same
Step-by-step explanation:
On may 4th, an investor writes one s&p 100 jan 185 put at 6. His maximum potential gain on this position is:
An investor writes a s&p 100 Jan. 185 put at $6 on May 4. In this situation, his function maximum potential benefit is $600.
Define function.We could create a function with a codomain of sets of numbers and X being the set of individuals once more. For instance, create the function c so that its output c(x) is the number of offspring of each person x for which the codomain Y is the set of whole numbers.
what is benefit?A benefit is a positive outcome or advantage that results from something. It can refer to the positive aspects or advantages of a product, service, or action, and can be tangible or intangible. Benefits can include increased efficiency, cost savings, improved safety, increased customer satisfaction, and many other positive outcomes.
Here,
As a put buyer, the most you may lose is the premium you previously paid to purchase the put option.
The option price must be reduced to equal the strike price less any already-paid premium in order to break even.
The strike price less the premium is your maximum gain as a put buyer. The most bullish option strategy is thought to be purchasing call options.
This tactic allows the buyer of the call option the choice, but not the responsibility, to purchase the stock at a certain price at a precise moment.
Whenever the price of the security increases using this approach, the buyer benefits. A long position is one in which a call or put option is purchased or held.
Investors have the option of purchasing from or selling to the other investor at a predetermined price.
On the other hand, a short position is when you sell a call or put option. Writers must purchase from people holding long positions or buying options.
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On May 4th an investor writes on s&p 100 Jan 185 put at $6. his function maximum potential gain in this position is $600.
Define function.We could create a function with a codomain of sets of numbers and X being the set of individuals once more. For instance, create the function c so that its output c(x) is the number of offspring of each person x for which the codomain Y is the set of whole numbers.
Your maximum loss as a put buyer is the premium already paid to buy the put option. To break even the option price must be lowered to cover the strike price minus the premium already paid. Your maximum profit as a put buyer is the strike price minus the premium. Buying call options are considered the most bullish options strategy.
This strategy gives the call option buyer the right but no obligation to buy the security at a specific price at a specific time. With this strategy, the buyer benefits when the price of the security rises. Buying or holding a call or put option is a long position. Investors have the right to buy or sell to the writing investor at a specified price. Conversely selling or selling a call or put option is a short position. Writers must buy or sell from long position holders or option buyers.
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Select the interval where the graph h is decreasing.
Answer: A
Step-by-step explanation:
Based on the graph, we know that it is decreasing if it is going down from left to right.
A: correct
Looking at choice A, it says the interval is from -4<x<-3. This means we have to find x=-4 and x=-3. On the graph, that interval is going down from left to right, so it is decreasing.
B: incorrect
Looking at choice B, it says the interval is from -2<x<0. This means we have to find x=-2 and x=0. On the graph, that interval is going up from left to right, so it is increasing.
C: incorrect
Looking at choice C, it says the interval is from 0<x<2. This means we have to find x=0 and x=2. On the graph, that interval is going up from left to right, so it is increasing.
D: incorrect
Since we have identified A as decreasing, then none of the above can't be the answer.
Therefore, A is the correct answer.