The amount that hw must invest to achieve the goal when it will be compounded annualy is $68750
Given Information:
Principal Amount (P) = to be calculated
Rate of Interest (r) = 8 %
Time Period (t) = 6
Amount Received (A) = $110000
Number of times the interest is compounded quarterly (n) = 4
The Formula for the amount received when the principal (P) is compounded is given by,
[tex]A = P( 1 + \frac{r}{100n} )^{nt}[/tex]
Now, putting the values, we get:
[tex]110000 =P( 1 + \frac{8}{100*4} )^{4*6}[/tex]
P = $68750
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Simplify the power (-3x^2y)^4
⇒In this case I will use the law of exponents that states:
[tex](x^{m} )^{n} \\=x^{m*n}[/tex]
⇒[tex]=(-3x)^{2y*4} \\=(-3x)^{8y}[/tex]
Answer: 81x^8y^4
Step-by-step explanation:
1. DISTRIBUTE EXPONENT by using the power rule: (ab)^n = (a^n)(b^n)
> Apply PRODUCT RULE: -3x^2y = (-3x^2)^4y^4
>Apply PRODUCT RULE: -3x^2 = (-3)^4 (x^2)^4y^4
2. RAISE -3 to the power of 4 = 81(x^2)^4y^4
3. MULTIPLY THE EXPONENTS in (x^2)^4
> Apply POWER RULE and MULTIPLY EXPONENTS, (a^m)^n = a^mn
(81x^2*4)(y^4)
> MULTIPLY 2 by 4 = 81x^8y^4
And that is your answer, 81x^8y^4
1) Graph the function by plotting the ordered pairs (0, 0) (10, 125) (20, 250) (30, 375) (40, 500) and
drawing a straight line through the points. Label the axes with appropriate
variable
quantities
and units. Label the points with the correct ordered pairs. Include a title for the graph.
The graph of the given function is attached below.
We are given a function. A function connects an input and an output. It is analogous to a machine with an input and an output. And the output is somehow related to the input.
The coordinates of several points are given. We need to graph the function by plotting the ordered pairs (0, 0), (10, 125), (20, 250), (30, 375), and (40, 500).
The function is a straight line. A straight line is a one-dimensional figure with an infinite length. It is made up of an infinite number of points connected on both sides of a point. We also need to draw the line through the points. The graph is attached below.
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Complete the number line as needed to plot the given points. Then, plot the following integers on the number line.
-22.-28.-21.-25. Write the numbers in order from least to greatest using inequalities.
The numbers has been plotted on the number line and the order of the numbers from least to greatest is -28 < -25 < -22 < -21
The given numbers are
-22, -28, -21 and -25
The inequality is the mathematical statement that shows the relationship between one expression and another expression with inequality sign. The inequalities maybe less than, less than or equal, greater than, greater than or equal . The equal sign will not be a part of inequality
The numbers are
-22, -28, -21 and -25
Plot the numbers in the number line
The order of the numbers from least to greatest is -28 < -25 < -22 < -21
Hence, the numbers has been plotted on the number line and the order of the numbers from least to greatest is -28 < -25 < -22 < -21
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Purchase price $ 70,000
Delivery cost $ 3,000
Installation charge $ 1,000
Estimated life 5 years
Estimated units 140,000
Salvage estimate $ 4,000
Purchase price $ 70,000
Delivery cost $ 3,000
Installation charge $ 1,000
Estimated life 5 years
Estimated units 140,000
Salvage estimate $ 4,000
Straight-line YR1 and YR2
Double-declining YR1 and YR2
Unit-of-production YR1 and YR2
($$ amounts)
Using the straight line method, the depreciation expense in year 1 and 2 is $14,000.
Using the double declining method, the depreciation expense in year 1 is $29,600 and $17,760 in year 2.
Using the unit of production method, the depreciation expense in year 1 is $18,000 and $19,000 in year 2.
What are the depreciation expenses?The straight line depreciation method is a depreciation method in which the the depreciation amount each year of the asset's useful life is the same.
Straight line depreciation = (cost of the asset - salvage value) / useful life
Cost of the asset = $70,000 + $3000 + $1000 = $74,000
Straight line depreciation = ($74,000 - $4,000) / 5 = $14,000
The double declining method entails depreciating an asset at twice the rate of the straight line method.
Depreciation expense = cost of the asset x depreciation factor
Depreciation factor = 2 x (1/useful life)
Depreciation expense in year 1 = (2 /5) x $74,000 = $29,600
Book value in year 2 = $74,000 = $29,600 = $44,400
Depreciation expense in year 2 = (2 /5) x $44,400 = $17,760
The depreciation in the unit of production method depends on the output of the machine each year.
Depreciation = (output in a year / total output) x (cost of the asset - salvage value)
Depreciation in year 1 = ($74,000 - $4,000) x (36,000 / 140,000) = $18,000
Depreciation in year 2 = ($74,000 - $4,000) x (38,000 / 140,000) = $19,000
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Here is the rest of the question:
Units produced in Year 1 = 36,000 units
Units produced in Year 2 = 38,000 units.
At the state championship basketball game the bleachers are 2/3 full with 1/3 of the fans rooting for the home team. What fraction of the bleachers are rooting for the
home team?
Answer:
2/9 of the bleachers are rooting for the home team!
what will its speed (velocity) be after 3.4 seconds, assuming no air resistance? (Hint: Use the equation v = 32t). How long would it take to fall 50 feet
The velocity of the object is 108.8 m/s and the object will take 0.45 seconds to fall 50 feet.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
It is given that:
The time = 3.4 seconds
There is no air resistance.
v = 32t
v = 32(3.4)
v = 108.8 m/s
T = D/S = 50/108.8 = 0.45 seconds
Thus, the velocity of the object is 108.8 m/s and the object will take 0.45 seconds to fall 50 feet.
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which expressions describe the end behaviors of the function, f(x)=(3.25)^x+6, modeled by the graph.
Select each answer,
As x decreases without bound, f(x) increases without bound
As x increases wthout bound f(x) increases without bound
As x decreases without bound, f(x) approaches the line y=6
As x increases without bound, f(x) approaches the line y=6
For the given function, f(x)=(3.25)^x+6 As x decreases without bound, f(x) increases without bound
To describe the end behaviors of the function modeled by the graph,
f(x)=(3.25)^x+6
What are functions?
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.
Here,
The function given is,
f(x)=(3.25)^x+6
Given function contains equality so the function has no boundaries and the function is described from negative infinity to positive infinity, But the function has inverse behavior as when x is negative the function is positive.
Thus, for the given function, f(x)=(3.25)^x+6 asAs x decreases without bound, f(x) increases without bound
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Bro... Please.. Help im desperate. I swear I will give brainliest.
Answer:
A: Ira begins walking
B: Ira stops at a diner
C: Ira leaves the diner
D: Ira visits his grandmother
E: Ira walks from grandma’s house to home
Step-by-step explanation:
Hopes this helps please mark brainliest
Whats the answer...?
The required solution is 0.02 to the given numerical expression [1/(9-2)]².
What is the division operation?In mathematics, divides left-hand operands into right-hand operands in the division operation. The primary purpose of the division is to generate equal groupings.
For example 4/2 = 2
The numerical expression is given in the question as:
⇒ [1/(9-2)]²
We have to determine the solution to the given expression
As per the question,
⇒[1/(9-2)]²
⇒[1/7]²
⇒1/49
Apply the division operation to get the solution
⇒0.02040
Rounded to the nearest hundredth
⇒0.02
Thus, the required solution is 0.02 to the given numerical expression.
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Help please!!!!!!!!!!!!!!!!!!!!
Answer:
f(-2)= -2
f(-0.75)= -1
f(1)= 1
Find the solution of the systems of equations
10x-2y=44
-2x-9y=10
Answer:
y = 0.54, x = 4.51
rename each of the following using the distributive property of multiplication so there are no parentheses in the final answer
(a+b)(c+d)
Answer:
ac + ad + bc + ad
Step-by-step explanation:
We are going to be using the FOIL (First, Outer, Inner, Last) method.
If we use this, we end up with:
ac + ad + bc + ad
Please help with this quick!
What is 3.072 times 8 simplfyed
NEED HELPP WILL GIVE 30 POINTS Randi has two documents open on her laptop. She wants to copy the entire contents of Document A and place it at the end of Document B. What is the most efficient way she can accomplish this task
Answer:
she can just copy and paste by holding right click and dragging across all of document A and hit ctrl c then ctrl v at the bottom of document B
V(d)V, left parenthesis, d, right parenthesis models Aria's vertical distance from the top of the valley (in kilometers) after walking ddd kilometers along the trail.
What does the statement V(3)<3V(3)<3V, left parenthesis, 3, right parenthesis, is less than, 3 mean?
Aria's vertical distance from the top of the valley after walking 3 km along the trail is less than 3 km.
Since Here d represents distance along the trail.
And, V(d) represents the vertical distance from the top of the valley (in kilometers) after walking d kilometers along the trail.
If the distance along the trial is 3 km.
That is, d = 3
Then the vertical distance she walked from the top of the valley = V(3)
But According to the question,
V(3) < 3
Her vertical distance from the top of the valley after walking 3 km along the trail is less than 3 km.
Hence, For going 3 km along the trail her vertical distance from the top of the valley is less than 3.
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An ice cream store sells 4 drinks, in 4 sizes, and 7 flavors. In how many ways can a customer order a drink?
Using mathematical operations, we know that the store can sell its drinks in a total of 112 ways.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.
The operation's arity is determined by the number of operands.
In mathematics, addition, subtraction, multiplication, division, and modular forms are the five basic operations.
So, all the possible ways in which a customer can order a drink:
We know that:
This store sells 4 drinks.
The store has 4 different sizes of drinks.
The store sells 7 flavors.
Then, the total ways will be:
4 × 4 × 7
112
Therefore, using mathematical operations, we know that the store can sell its drinks in a total of 112 ways.
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12. Brandi solves the problem
could she check her answer?
1,621 /4 = 404 R1
Using simple mathematical operations, we know that Brandi's answer which is 404 is incorrect.
What are mathematical operations?A mathematical function known as an "operation" in mathematics is one that converts zero or more input values into a precisely specified output value.
The quantity of operands has an impact on the operation's complexity.
Exponents, PEMDAS, parenthesis, multiplication, and division.
So, to check whether Brandi's answer is correct:
1621/4 = 404
So, to check it is ts correct, multiply 404 by 4.
If the answer is correct, then the product will be 1621.
If the answer is wrong, the product will not be 1621.
Calculate as follows:
404 × 4 = 1,616
Therefore, using simple mathematical operations, we know that Brandi's answer which is 404 is incorrect.
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Four children (Sam, Inez, Mahmoud and
Katrina) are running a race. They are each
wearing a distinctive article of clothing (a
red shirt, a hat, sunglasses and a scarf).
Consider the following statements:
The child wearing a red shirt finished
before Sam but after the child wearing a
hat.
Katrina is wearing sunglasses.
The child wearing a scarf finished the race
last.
Inez finished the race before the person
wearing sunglasses.
Mahmoud is not wearing a hat.
Who won the race?
Inez had won the race.
What is sequence?A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms). The length of the series is the number of elements (potentially infinite).
Sam finished the race after the youngster wearing the shirt, who finished after the child wearing the hat, according to the information provided.Sam, red shirt, hat is the order from last to first.Inez also finished before to Katrina. Sam must be the last person to put on a scarf because Mahmoud doesn't wear a cap.Sam, Mahmoud, Katrina, and Inez are listed in order from last to first.Thus, Inez had won the race.
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What is the probability that the song that was picked was one she liked or one she has not heard but did not enjoy?
The probability that the song that was picked was one she liked or one she has not heard but did not enjoy is 17/22.
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
Total number of songs = 22
Probability of liked song = 10/22
The probability of she has not heard but did not enjoy = 7/22
The probability that the song that was picked was one she liked or one she has not heard but did not enjoy:
= 10/22 + 7/22
= 17/22
Thus, the probability that the song that was picked was one she liked or one she has not heard but did not enjoy is 17/22.
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evaluate a2bc if a=3, b=-14 and c=-6
The result of the expression [tex]a^2bc[/tex] when a =3, b= -14 and c = -6 is 756
The expression is
[tex]a^2bc[/tex]
The expression is the mathematical statement that consist of different variables, numbers and mathematical operators. The mathematical operator are addition, subtraction, division and multiplication. The equal sign or inequality signs will not be a part of expression
The expression is
[tex]a^2bc[/tex]
The value of a = 3
The value of b = -14
The value of c = -6
Substitute the values in the expression
[tex]a^2bc[/tex] = [tex]3^2[/tex] × -14 × -6
= 9 × -14 × -6
= 756
Hence, the result of the expression [tex]a^2bc[/tex] when a =3, b= -14 and c = -6 is 756
The complete question is:
Evaluate [tex]a^2bc[/tex] if a=3, b=-14 and c=-6
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Jacob and his buddies paid $35.01 at a football game to buy 9 cheeseburger meals. How much did each cheeseburger meal cost?
I need help with the last two questions please
For the image 1, the angular values are x=9⁰ and y=23⁰
For the image 2, the angular values are x=9⁰ and y=14⁰
What is meant by an angle?An angle is a figure in Euclidean geometry made up of two rays that share an endpoint and are referred to as the angle's sides and vertex, respectively. Angles created by two rays are located in the plane where the rays are located. The meeting of two planes can also create an angle. Dihedral angles are what they are. A measure of an angle or of a rotation is also referred to as an angle. The ratio of a circular arc's length to radius is known as this quantity. A geometric angle's arc is centered at the vertex and is bound by its sides.
For the first image x and y values are,
As from the given figure,
(4y-2)⁰=90⁰
4y=90+2
y=92/4
y=23⁰
3x-6=21⁰
3x=27
x=9⁰
Therefore, x=9⁰ and y=23⁰
For the second image x and y values are,
2x+27=90/2
2x+27=45
2x=18
x=9⁰
4y-19=y+23
3y=42
y=14⁰
Therefore, x=9⁰ and y=14⁰
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A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 70 pounds. The truck is transporting 50 large boxes and 70 small boxes. If the truck is carrying a total of 4000 pounds in boxes, how much does each type of box weigh?
The weight of each small box is 25 pounds while the weight of each large box is 45 pounds
What is the weight of each type of box?We know that we can be able to find the mass of each type of box from the use of simultaneous equations. Al we need to do is to form two systems of equations. Let the weight of each small box be x and the weight of each large box be y then;
x + y = 70 ------ (1)
50x + 70y = 4000 ----- (2)
x = 70 - y ------ (3)
Substitute equation (3) into (2)
Then;
50(70 - y) + 70y = 4000
3500 - 50y + 70y = 4000
20y = 4000 - 3500
20 y = 500
y= 25
Then substitute y = 25 into equation (1)
x + 25 = 70
x = 70 - 25
x = 45
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How do you find cos 60 degrees?
Answer:The value of cos 60 degrees can be calculated by constructing an angle of 60° with the x-axis.
Step-by-step explanation:
Then finding the coordinates of the corresponding point (0.5, 0.866) on the unit circle.
The value of cos 60° is equal to the x-coordinate (0.5).
∴ cos 60° = 0.5.
The value of cos 60° using trigonometric ratio is 1/2 or 0.5 .
What is trigonometric ratios?
There are six trigonometric ratios used in trigonometry: sine, cosine, tangent, secant, and cotangent. The abbreviations for these ratios are sin, cos, tan, sec, cosec(or csc), and cot. Look at the below-displayed right-angled triangle. Any two of the three sides of a right-angled triangle can be compared in terms of their relative angles using trigonometric ratios.
Here , the given is ,
=> cos60°
Since the cosine function is a periodic function, we can represent cos 60° as, cos 60 degrees = cos(60° + n × 360°),
Then
=> Cos 60° = 1/2 = 0.5.
Hence the value of cos 60° is 1/2 or 0.5.
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What is the value of v?
Step-by-step explanation:
v+27°+4v+39+11v=180°
v+4v+11v+27°+39°=180°
16v+66=180°
16v=180°-66
16v=114
16v÷16=114÷16
v=7.125
Solve for x: 6 over x equals 4 over 8 a 10 b 12 c 24 d 48
Answer:
B. 12
Step-by-step explanation:
Solve the system of equations by graphing
u=v
4u=2v-12
The solution to the system of linear equations u = v and 4u = 2v - 12 is (-6, -6)
How to determine the solution to the system?A system of linear equations is a collection of at least two linear equations.
In this case, the system of equations is given as
u = v and 4u = 2v - 12
Next, we plot the graph of the system of equations
In this case, the point of intersection of the equations represent the solution to the system
From the graph, the lines intersect at (-6, -6)
Hence, the solution is (-6, -6)
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-6.4 = x + 4.3 how do I figure this question out (I’m trying to figure out what number x is)
Answer: x = -10.7
Step-by-step explanation:
-10.7 + 4.3 = -6.4
MP Use Tools A bobsled team is practicing runs on
a track. Their first run takes 4.85 minutes. On each
of the next two runs, the team's time changes by
-0.27 minute compared to the previous time.
A. What was the team's time on their final run?
The team's time on their final run is 4.31 minutes.
According to the question,
We have the following information:
Their first run takes 4.85 minutes. On each of the next two runs, the team's time changes by -0.27 minute compared to the previous time.
Now, the second run will be 0.27 minutes less than 4.85 minutes.
Time for the second run = 4.58 minutes
Now, the third run will be the final run and 0.27 minutes less than the previous run.
Now, the time for the final run will be as given below:
4.58-0.27
4.31 minutes
Hence, the team's time on their final run is 4.31 minutes.
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