Answers
Related Questions
Charley wants to have $950,000 when he retires in a year. If he currently has $900,000 to put in a 1-year CD, which of these APRs and compounding periods will allow him to reach his goal?
A. An APR of 5.44% compounded semiannually
B. An APR of 5.42% compounded monthly
C. An APR of 5.34% compounded daily
D. An APR of 5.43% compounded quarterly
Answers
A) 1.0272^2 ⇒ 5.514% . . . . . . . . . . . . not enough
B) 1.0045166667^12 ⇒ 5.557% . . . . sufficient to reach the goal
C) 1.000146301^365 ⇒ 5.485% . . . . not enough
D) 1.013575^4 ⇒ 5.542% . . . . . . . . . .not enough
Charley needs an APR of 5.44% compounded semiannually to reach his goal of $950,000 in a year.(A)
Given:
Final Amount (A) = $950,000
Principal Amount (P) = $900,000
Time (t) = 1 year
We use the compound interest formula: A = [tex]P(1 + r/n)^{(nt)[/tex]
Option A: 5.44% APR compounded semiannually
APR (r) = 0.0544
Compounding periods per year (n) = 2
Plugging in the values, we get: A = 900,000[tex](1 + 0.0544/2)^{(2*1)[/tex]≈ $949,999 (which is approximately $950,000)
Option B: 5.42% APR compounded monthly
APR (r) = 0.0542
Compounding periods per year (n) = 12
Plugging in the values, we get: A = 900,000[tex](1 + 0.0542/12)^{(12*1)[/tex] ≈ $949,941 (less than $950,000)
Option C: 5.34% APR compounded daily
APR (r) = 0.0534
Compounding periods per year (n) = 365
Plugging in the values, we get: A = 900,000[tex](1 + 0.0534/365)^{(365*1)[/tex] ≈ $949,591 (less than $950,000)
Option D: 5.43% APR compounded quarterly
APR (r) = 0.0543
Compounding periods per year (n) = 4
Plugging in the values, we get: A = 900,000[tex](1 + 0.0543/4)^{(4*1)[/tex] ≈ $949,980 (missing the goal by a small amount)
Conclusion: The correct option is 5.44% compounded semiannually as it allows Charley to reach his goal of $950,000.
Which expressions are equivalent to the one below? Check all that apply. 9x
Answers
Answer:
C.),F.),andD.) Are correct
Step-by-step explanation:
Option: C, D and F are the correct options.
C. [tex](\dfrac{36}{4})^x[/tex]
D. [tex]9\cdot 9^{x-1}[/tex]
F. [tex]\dfrac{36^x}{4^x}[/tex]
Step-by-step explanation:We are asked to find the expression which is equivalent to:
[tex]9^x[/tex]
C)
[tex](\dfrac{36}{4})^x[/tex]
We know that:
[tex](\dfrac{36}{4})^x=9^x[/tex]
Since, 36/4=9
Hence, option: C is correct.
D)
[tex]9\cdot 9^{x-1}=9^{1+x-1}[/tex]
Since,
[tex]a^m\cdot a^n=a^{m+n}[/tex]
Hence,
[tex]9\cdot 9^{x-1}=9^x[/tex]
Hence, option: D is correct.
F)
[tex]\dfrac{36^x}{4^x}[/tex]
We know that:
[tex]\dfrac{36^x}{4^x}=(\dfrac{36}{4})^x[/tex]
Since, we know that:
[tex]\dfrac{a^n}{b^n}=(\dfrac{a}{b})^n[/tex]
Hence, we have:
[tex]\dfrac{36^x}{4^x}=9^x[/tex]
Since, 36/4=9
Hence, option: F is the correct answer.
If f(x) = 6x - 4, what is f(x) when x = 8?
Answers
To find this answer, we replace x with 8 and use PEMDAS (order of operations) to simplify
f(x) = 6*x - 4
f(8) = 6*8 - 4
f(8) = 48 - 4
f(8) = 44
f(x) = 6*x - 4
f(8) = 6*8 - 4
f(8) = 48 - 4
f(8) = 44
Summer looked at the formula for the Pythagorean Theorem, ashe said that it didn't matter which sides of a right triangle were a, b, and C. Is she correct?
Answers
The surface area of a rectangular prism is 792 units2. The length of the prism is 2 times the width, and the width is 4 times the height. What is the volume of the prism?
Answers
Answer:
The real answer is 846 ^-^ I got it right
The volume of the rectangular prism is 105.57
What is the volume of a rectangular prism?A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.
The volume of a rectangular prism=Length X Width X Height
Where l, h and w represent the length, height and width respectively.
Given that;
Length of the prism is 2 times the width L = 2w
the width is 4 times the height w = 4h
Now let’s plug these values;
the surface area equation, it becomes;
A = 2(2w(w) + w(w/4) + w/4(2w))
A = 2(2w^2 + w^2/4 + w^2/2)
A = 1/2(7w^2)
792 x2 = 7w^2
w = 15.04
The volume of a rectangular prism=Length X Width X Height
V = 2w x w x w/4
V x 2 = w³
V = 15.04³/2
V = 105.57
Thus, the volume is 105.57.
Learn more about a rectangular prism;
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The system shown is____.
equivalent
independent
inconsistent
Answers
Hope this helps! :)
is this a linear function , why or why not ? explain
y=x^2-1
Answers
Algebraically, the given equation does not fit the form y = mx+b which is slope intercept form. So this is more confirmation that we do not have a linear function.
BRAINLIESTTTT!!!
If Mary pitches a baseball with the initial height of 6 feet and a velocity of 73 feet per second, how long will it take for the ball to hit the ground? :)
Answers
73^2 - 4 * -16 * 6 = 5713
sqrt 5713= 75.58
(-73 - 75.58) / -32 = 4.64
Good luck :)
Hope this helps!
in a club there are 10 women and 10 men. A comittee of 3 men and 2 women is to be chosen. how many different possibilities are there?
Answers
How many solutions does the system have?
X+y=5
X+y=6
Answers
{ x+y=5
{ x+y=6
Solve the equation for x
{ x=5-y
{ x=y=6
Substitute the given value of x into the equation x+y=6
5-y+y=6
Solve the equation for y
y∈⊘
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
x + y = 5
x + y = 6
5 ≠ 6
The system of equations has many solutions.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 is an equation.
2x + 4 - 5x is an equation.
We have,
x + y = 5 _____(1)
x + y = 6 ______(2)
Now,
Solving (1) and (2) we get,
5 = 6
This is not true.
This means that,
We have many solutions.
If we get,
x = y
0 = 0
n = n ( n can be any value)
The system of equations will have no solutions.
Thus,
x + y = 5
x + y = 6
5 ≠ 6
The system of equations has many solutions.
Learn more about equations here:
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Find the length of JK and the measure of M. A. JK=26, m=33 B. JK=26, M=54. C. JK=33, M=26. D. JK=54, M=33
Answers
Answer:
c i would think/suppose
Step-by-step explanation:
The tangent ratio compares the length of what to the length of what
Answers
Tanx = (C.O) / (C.A)
Where,
x: angle
C.O: Opposite leg.
C.A: Adjacent leg.
Therefore the tangent compares the length of the opposite leg with the length of the adjacent leg.
Answer:
the tangent compares the length of the opposite leg with the length of the adjacent leg
Tanx = (C.O) / (C.A)
Lines are perpendicular when the slopes are _____
Answers
___
Lines are perpendicular when the product of their slopes is -1 (or when one is vertical and the other is horizontal).
after earning $17 in interest bob bank account has $143 how many dollars were in the account to start with
Answers
1. What is the value of x?
sin(x+22)°=cos(2x−7)°
2.Given cosx=1213 and sinx=513
.
What is ratio for tanx
?
leave answer as a fraction in simplest form
Answers
sin(x+22)°=cos(2x−7)°
we know that
the sine and cosine are co-functions
So
sin (theta) = cos (90 - theta)------> This implies that the angles sum to 90°
therefore
( x + 22) + (2x - 7) = 90 simplify
3x + 15 = 90 subtract 15 from both sides
3x = 75 divide both sides by 3
x = 25
The answer Part 1) is x=25°
Part 2) Given cos x=12/13 and sin x =5/13
What is ratio for tanx ?
we know that
tan x = sinx / cos x
tan x = (5/13) / (12/13) = (5/13) * (13/12) = 5/12
the answer Part 2) is 5/12
helppppppppppppppppppp
Answers
Explanation:
Θ is the angle, and sinΘ and cosΘ are the legs of the right triagle so the second and third option are discarded because they say that sinΘ and cosΘ are angles.
The hypotenuse is 1 because it is an absolute value, i.e. it has not sign (it cannot be negative), which discards the fourth option.
All my smart people click here
Answers
What do you need help with? It is correct "If you burn [...] 0.02 mols of propane 44kj of energy [...] released"
What's the problem here?
Edit: "For each gram of propane burned, 50 kJ of energy is released" maybe?
Please help?
What is m V?
Round only your final answer to the nearest tenth.
Answers
The answer would be 53.9
Raina is fertilizing her garden. The garden is in the shape of a rectangle. Its length is
15 feet and its width is 13
feet. Suppose each bag of fertilizer covers 39
square feet. How many bags will she need to cover the garden?
Answers
Answer: 5 bags
Step-by-step explanation:
Suppose rebecca needs a dog sitter so that she can travel to her sister's wedding. rebecca values dog sitting for the weekend at $200. susan is willing to dog sit for rebecca so long as she receives at least $150. rebecca and susan agree on a price of $175. suppose the government imposes a tax of $10 on dog sitting. the tax has made rebecca and susan worse off by a total of
Answers
I assumed that you are looking for the percentage that the girls have to pay. To find the percent, we need to divide 10 by 175 and multiply it by 100. That will give us 5.7%. One of the girls will have to pay this, or they could split it evenly and each pay $5 or 2.9%,
The tax has only made Susan worse off by $10 or 5.7% because Rebecca is the one who is going to pay for the dog sitting and not Susan (who is going to have an income of $165 after-tax).
Further Explanation:
Income Tax: It is the additional payment that an individual needs to pay on the amount of income he/she generates. Here $10 is the tax on the income which Susan is going to generate by dog sitting the dog of Rebecca.
Here, it can be seen that Susan is the one who is earning from the transaction and not Rebecca. So, Rebecca is should not bear any tax payable to the government since both of them agree to a price of $175 so that is the only amount which Rebecca is going to pay for dog sitting. Also, if Susan herself pays the whole amount of tax, it still would not bother her because her expectation from dog sitting was $150 which is still lesser than what she expected in the first place.
Learn more:
1. Learn more about the tax on the profit from selling the fixed assets
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2. Learn more about the personal tax
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3. Learn more about the role of money
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Answer details:
Grade: Senior School
Subject: Taxation
Chapter: Tax imposed on various services.
Keywords: Income tax, payment of tax, dog sitting during the wedding, dog sitter, worse off condition of Rebecca and Susan.
What is the area of the shaded region of the following figure?
446 in.2
5,760 in.2
4,788 in.2
5,274 in.2
Answers
[tex] {5274}in^{2} [/tex]
Explanation:
To find this answer you will have to follow these steps:
1) Convert all numbers to the same unotnof measurement (inches). So you would convert 8ft and 5ft into inches. (96in and 60in)
2) Now you have to find the area of the total figure (square). To find this you simply multiply length × width. (96in × 60in = 5760) Remember this for later.
3) Now you have to find the area of the triangle inside the shape. For this you multiply base × height then divide by 2. (36in × 27in = 927 then ÷ 2 to get 486.) 486 is the area of the triangle.
4) Finally to find the area of the shaded part of the shape you need to subtract the triangles area from the total area. (5760 - 486 = 5274 in)
Answer:
5,274 in.2
Step-by-step explanation:
Find the area of both the shaded and not shaded regions.
Shaded: 8 ft x 12 in = 96 5 ft x 12 in = 60
Then: 96 in x 60 in = 5760
Not Shaded: 27 in x (36 / 2) 18 in = 486
Then Subtract The Not Shaded Region From The Shaded Region:
5,760 - 486 = 5,274
what is the approximate area of the shaded region
Answers
First let's find the area of the square.
A = s^2
Where 's' is the side.
A = 10^2
A = 100
Now let's find the area of the circle.
The '10' is also the diameter of the circle.
A = pi * r^2
A = 3.14 * 5^2
A = 3.14 * 25
A = 78.5
Now subtract this from the area of the square.
100 - 78.5 = 21.5
So the approximate area of the shaded region is 21.5cm^2
Hope this helped! Have a good day.
ALL I NEED YOU GUYS TO DO IS TO EXPLAIN THIS IN THE MOST FANCY WAY POSSIBLE!!!! THIS IS JUST FOR FUN, I WILL MARK BRAINLIEST FOR THE FANCIEST ANSWER!!!!
WHAT IS 5x5?!?!?!?!?!
Answers
25 <<<<< THERE IS YOUR ANSWER!
Have a nice day!
~Brooke❤️
It's 25 easy how I got my answer I looked on my fingers and put 5 fingers up and i did it 5 times and got 5.10.15.20.25 that's 5 times
A seller buys an item from a manufacturer for $9,500 he increases cost by %5 percent.What is the markup value?
markup = original cost x percentage markup
Answers
Hope this helps!
♤MidnightQueen
Answer: $475
Step-by-step explanation:
Given : A seller buys an item from a manufacturer for $9,500 he increases cost by %5 percent.
i.e. The original cost of item = $9,500
Mark up percentage = 5% = 0.05
The formula given to find the mark up value is :_
[tex]\text{Mark up}=\text{Original cost * percentage mark up}\\\\\Rightarrow\ \text{Mark up}=9500\times0.05=\$475[/tex]
Hence, the mark up value = $475
The picture below shows a portion of a river dam:
Which of the following can be used to calculate the height of the river dam? (6 points)
220 cos 40°
220 divided by tan 40 degrees
220 sin 40°
220 divided by cos 40 degrees
Answers
If you are starting with the angle of 40 degrees, you have an adjacent side and hypotenuse. Therefore, it is a cosine relationship.
We can write:
cos(40) = adj / hyp
cos(40) = x / 220
To solve for x, simply multiply 220 by the cos(40).
You can write it as: 220 cos(40)
Good luck,
MrEQ
Answer:
220cos40
Step-by-step explanation:
cos40=x/220
(220)cos40=x/220(220)
220cos40=x
I need help peeps, im having troubles
Answers
5x - 4 = 3x
2x - 4 = 0
2x = 4
x = 2
plug 2 in for x
5(2) - 4 = 10 - 4 = 6 (the length of AB)
5x - 4 = 3x
5x = 3x + 4
2x = 4
x = 2
For the length of side AB we will plug in the value of x in the expression.
5(2) - 4
10 - 4
6 = AB
what is the fourth term of the expansion of the binomial (2x+5)^5
Answers
(x + y)⁵ = x⁵ + 5x⁴y + 10x³y² + 10x²y³ + 5xy⁴ + y⁵
when expanded from left to right the powers of x decrease from 5 to 0 and powers of y increase from 0 to 5
substitute x =2x and y = 5
(2x + 5)⁵ = (2x)⁵ + 5(2x)⁴5 + 10(2x)³5² + 10(2x)²5³ + 5(2x)5⁴ + 5⁵
= 32x⁵ + 400x⁴ + 2000x³ + 5000x² + 6250x + 3125we use the pascals triangle to find the coefficient
we can use the binomial theorem to find the 4th term as well
exponent - 5
term - 4
5!/ (5-4)!4! * (2x)⁴5⁵⁻⁴
=120/24 *16x⁴*5
=400x⁴
please help 1. another term for adding money to an account is
A) additional
B) submission
C) contribute
D) payment
2. which situation allows you to have the most saved
A) having a set amount set aside for savings each time you are paid
B) having a set minimum or percentage for saving whichever is greater
C) having a percentage set aside for savings
D) having a percentage set aside for savings when your pay is higher and hours are more
Answers
1. Another term for adding money to an account is - contribute
One should contribute to his account. This phrase means, one should add money to his account. Contribution is addition of money in account.
2. Which situation allows you to have the most saved ?
A) having a set amount set aside for savings each time you are paid- this can be the most possible answer. Technically a person should save 20% to 25% of his income and this amount increases with income. So, each time when you are paid, set aside the savings amount.
PLEASE HELP
8.07a, part 1
1. Find the vertex, focus, directrix, and focal width of the parabola. (1 point)
negative 1 divided by 40 x squared equals y
A) Vertex: (0, 0); Focus: (0, -10); Directrix: y = 10; Focal width: 160
B) Vertex: (0, 0); Focus: (-20, 0); Directrix: x = 10; Focal width: 160
C) Vertex: (0, 0); Focus: (0, -10); Directrix: y = 10; Focal width: 40
D) Vertex: (0, 0); Focus: (0, 10); Directrix: y = -10; Focal width: 10
2. Find the standard form of the equation of the parabola with a focus at (0, -2) and a directrix at y = 2.
A)y2 = -2x
B) y2 = -8x
C) y equals negative 1 divided by 8 x squared
D) y equals negative 1 divided by 2 x squared
3. Find the standard form of the equation of the parabola with a focus at (-8, 0) and a directrix at x = 8.
A) y equals negative 1 divided by 32 x squared
B) y2 = 16x
C) 16y = x2
D) x equals negative 1 divided by 32 y squared
4. A building has an entry the shape of a parabolic arch 84 ft high and 42 ft wide at the base, as shown below.
A parabola opening down with vertex at the origin is graphed on the coordinate plane. The height of the parabola from top to bottom is 84 feet and its width from left to right is 42 feet.
Find an equation for the parabola if the vertex is put at the origin of the coordinate system.
A) y2 = -21x
B) x2 = -21y
C) x2 = -5.3y
D) y2 = -5.3x
5. Find the center, vertices, and foci of the ellipse with equation x squared divided by 81 plus y squared divided by 225 equals 1 .
A) Center: (0, 0); Vertices: (-15, 0), (15, 0); Foci: (0, -9), (0, 9)
B) Center: (0, 0); Vertices: (0, -15), (0, 15); Foci: (-9, 0), (9, 0)
C) Center: (0, 0); Vertices: (0, -15), (0, 15); Foci: (0, -12), (0, 12)
D) Center: (0, 0); Vertices: (-15, 0), (15, 0); Foci: (-12, 0), (12, 0)
6. Find the center, vertices, and foci of the ellipse with equation 2x2 + 8y2 = 16.
A) Center: (0, 0); Vertices: the point zero comma negative two square root two and the point zero comma 2 square root two ; Foci: Ordered pair 0 comma negative square root 6 and ordered pair 0 comma square root 6
B) Center: (0, 0); Vertices: (-8, 0), (8, 0); Foci: Ordered pair negative 2 square root 15 comma 0 and ordered pair 2 square root 15 comma 0
C) Center: (0, 0); Vertices: (0, -8), (0, 8); Foci: Ordered pair 0 comma negative 2 square root 15 and ordered pair 0 comma 2 square root 15
D) Center: (0, 0); Vertices: the point negative square root six comma zero and the point square root six comma zero ; Foci: Ordered pair negative square root 6 comma 0 and ordered pair square root 6 comma 0
7. Graph the ellipse with equation x squared divided by 36 plus y squared divided by 49 equals 1 .
A) A horizontal ellipse is shown on the coordinate plane centered at the origin with vertices at the point negative seven comma zero and the point seven comma zero. The minor axis has endpoints at zero comma six and zero comma negative six.
B) A vertical ellipse is shown on the coordinate plane centered at the origin with vertices at the point zero comma seven and zero comma negative seven. The minor axis has endpoints at negative six comma zero and six comma zero.
C) A horizontal ellipse is shown on the coordinate plane centered at (6, 7) with vertices at (–1, 7) and (13, 7) and minor axis endpoints at (6, 13) and (6, 1).
D) A horizontal ellipse is shown on the coordinate plane centered at the point six comma seven with vertices at the point negative one comma seven and thirteen comma seven. The minor axis has endpoints at six comma thirteen and six comma one.
8. Find an equation in standard form for the ellipse with the vertical major axis of length 10 and minor axis of length 8.
A) x squared divided by 25 plus y squared divided by 16 equals 1
B) x squared divided by 5 plus y squared divided by 4 equals 1
C) x squared divided by 4 plus y squared divided by 5 equals 1
D) x squared divided by 16 plus y squared divided by 25 equals 1
9. Find the vertices and foci of the hyperbola with equation quantity x plus 5 squared divided by 36 minus the quantity of y plus 1 squared divided by 64 equals 1 .
A) Vertices: (-1, 3), (-1, -13); Foci: (-1, -13), (-1, 3)
B) Vertices: (3, -1), (-13, -1); Foci: (-13, -1), (3, -1)
C) Vertices: (-1, 1), (-1, -11); Foci: (-1, -15), (-1, 5)
D) Vertices: (1, -1), (-11, -1); Foci: (-15, -1), (5, -1)
Answers
Answers:
1. None from the choices, it should be
Vertex: (0, 0); Focus: (0, -10); Directrix: y = 10; Focal width: 10
2. C) y equals negative 1 divided by 8 x squared
3. D) x equals negative 1 divided by 32 y squared
4. C) x2 = -5.3y
5. C) Center: (0, 0); Vertices: (0, -15), (0, 15); Foci: (0, -12), (0, 12)
6. None from the choices, it should be
Center: (0, 0); Vertices: the point negative two square root two comma zero and the point 2 square root two comma zero; Foci: Ordered pair negative square root 6 comma zero and ordered pair square root 6 comma zero
7. B) A vertical ellipse is shown on the coordinate plane centered at the origin with vertices at the point zero comma seven and zero comma negative seven. The minor axis has endpoints at negative six comma zero and six comma zero.
8. D) x squared divided by 16 plus y squared divided by 25 equals 1
9. D) Vertices: (1, -1), (-11, -1); Foci: (-15, -1), (5, -1)
Answer:
the answer is letter C
Step-by-step explanation:
An amount of $27,000 is borrowed for 11 years at 8.25%
interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Use the calculator provided and round your answer to the nearest dollar.
Answers
r = monthly loan rate = 8.25 / 1,200 = 0.006875
p = principal = 27,000
n = number of payments = 11 years*12 months = 132
TOTAL Loan Cost = 0.006875 * 27,000 * 132 / 1 -(1.006875)^-132
TOTAL Loan Cost = 24,502.5 / (1 - 0.4047868312 )
TOTAL Loan Cost = 24,502.5 / 0.5952131688
TOTAL Loan Cost = 41,165.92