Order the situations from the account that yields the greatest amount to one that yields the least amount.
​Situation A: You invest $500 in an account at a 12% interest rate, compounded monthly, for 12 years.
​Situation B: You invest $500 in an account at a 10% interest rate, compounded quarterly, for 15 years.
​Situation C: You invest $500 in an account at a 15% interest rate, compounded annually, for 10 years.

Answers

Answer 1

Answer:

Order from the greatest yield to the least as follows

1. Situation B=$2,119.8949

2. Situation A=$2,095.3078

3. Situation C=$2,022.7789

Step-by-step explanation:

Situation A

A=P(1+r/n)^nt

=500(1+0.12/12)^12*12

=500(1+0.01)^144

=500(1.01)^144

=500(4.1906155936008)

=$2,095.3078

Situation B

A=P(1+r/n)^nt

=500(1+0.1/4)^4*15

=500(1+0.025)^60

=500(1.025)^60

=500(4.3997897488150)

=$2119.8949

Situation C

A=P(1+r)^t

=500(1+0.15)^10

=500(1.15)^10

=500(4.0455577357079)

=$2022.7789

Order from the greatest yield to the least as follows

1. Situation B=$2,119.8949

2. Situation A=$2,095.3078

3. Situation C=$2,022.7789


Related Questions

Which value of x makes this inequality true?
X + 9 < 4x

Answers

We want to get out x's together on the right side of the inequality.

So, subtract x from both sides to get 9 < 3x.

Now divide both sides by 3 and we get 3 < x.

I personally like to have my variables on the left so we can move the 3 to the left and the x to the right but if we do that, we have to switch the inequality sign.

So we can rewrite this as x > 3.

I need the answer for this and how you got it please!!!

Answers

Answer:

Correct answer is B.

Step-by-step explanation:

They are equal.

El triple de la cuarta parte de un número es 18. ¿Cuál es este número?

a)24
b)72
c)48
d)12
e)6

Answers

Answer:

e) 6

Step-by-step explanation:

18 divided by 3 equals 6

at a school number of boy:number of girls is in the ratio 11:9
there are 124 more boys than girls
work out the total number of sutdents at the school

Answers

Answer:

1240 (I'm not so sure but per my calculation that is what i got)

Step-by-step explanation:

Boy     : Girl

11         :   9

124 + x :  x

11/9 = 124 + x / x

9(124 + x) = 11 x

1116 + 9x = 11x

1116 = 11x - 9x

1116 = 2x

x = 558

Thus, there are 558 girls in the school

Number of boys = 124 + x

                             = 124 + 558

                             = 682

Therefore, total number of students = 558 + 682 = 1240 students

Please answer correctly !!!!!!!!!!! Will mark BRIANLIEST !!!!!!!!!!!

Answers

Answer:

smaller x = -5

larger x = 5

Step-by-step explanation:

-x^2 - 8 = -33

Add 8 to each side

-x^2 - 8+8 = -33+8

-x^2 = -25

divide each side by -1

x^2 = 25

Take the square root of each side

sqrt(x^2) = ±sqrt(25)

x = ±5

x = -5, x = 5

Answer:

[tex]lesser \: \: \: x =( - 5 )\\ greater \: \: \: x =( 5)[/tex]

Step-by-step explanation:

[tex] - {x}^{2} - 8 = - 33 \\ - {x}^{2} = - 33 + 8 \\ - {x}^{2} = - 25 \\ {x}^{2} = 25 \\ x = \sqrt{25} \\ x = + 5 \\ x = - 5[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Ramesh is a cashier in a canara bank. He has notes of denomination of Rs 100,50,10 respectively. The ratio of number of these notes is2:3:5respectively. The total cash with ramesh is 400000.How many notes of each denomination does he have

Answers

Answer: Ramesh has 80,000 100Rs, 120,000 50Rs and 200,000 10Rs.

Step-by-step explanation:

From the question, the ratio of number of 100, 50 and 10Rs notes is 2:3:5respectively and the total cash with ramesh is 400000.

Total ratio = 2+3+5 = 10

100Rs = 2/10 × 400000

= 80,000

50Rs = 3/10 × 400000

= 120,000

10Rs = 5/10 × 400000

= 200,000

Ramesh has 80,000 100Rs, 120,000 50Rs and 200,000 10Rs.

Which set of properties describes a square?

Answers

Answer:a parallelogram with one right vertex angle and two adjacent equal sides. a quadrilateral with four equal sides and four right angles. a quadrilateral where the diagonals are equal and are the perpendicular bisectors of each other, i.e. a rhombus with equal diagonals.

Step-by-step explanation:

Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!

Answers

Answer:

32 polo, 28 measles

Step-by-step explanation:

4p + 2m = 184  <-- doses

p + m = 60        <-- vaccines

solve:

4p + 2m = 184

-2p - 2m = -120     <-- multiplied both sides by -2

------------------------

2p = 64

p = 32

plug back in:

32 + m = 60

p = 32

m = 28

Write the equation for the linear function that goes through –3 on the y-axis and has a slope of 0.5.

y= ????

Answers

Answer: y = [tex]\frac{1}{2} x[/tex] - 3

Step-by-step explanation:

The equation for a line is in the form y = mx + b, where "m" is the slope and "b" is the y-intercept.Since the slope is 0.5 (which is [tex]\frac{1}{2}[/tex]), we can plug that value in for "m": y = [tex]\frac{1}{2} x[/tex] + bSince the line goes through -3 on the y-axis, that is the y-intercept. So, we can just plug in that value for "b": y = [tex]\frac{1}{2} x[/tex] - 3And there's your answer: y = [tex]\frac{1}{2} x[/tex]-3

1. How many ways are there to get a sum of 10 when two dices are thrown?
2.How many ways are there to get a sum of 11 when two dices are thrown?
3. How many ways are there to get a sum of 12 when two dices are thrown?


Please Answer Quickly And Kindly Explain Properly, Thanks!

Answers

Answer:

1.3 2.2 3.1

Step-by-step explanation:

1. 6:4 4:6 5:5

2. 5:6 6:5

3. 12 6:6

those are the ways you can get these numbers cause every two different numbers can show up on the opposite dice

Which point on the graph represents the y-intercept?

Answers

Point W represents the y-intercept

Engineers want to design seats in commercial aircraft so that they are wide enough to fit 99​% of all males.​ (Accommodating 100% of males would require very wide seats that would be much too​ expensive.) Men have hip breadths that are normally distributed with a mean of 14.2 in. and a standard deviation of 1.2 in. Find Upper P 99. That​ is, find the hip breadth for men that separates the smallest 99​% from the largest 1​%.

Answers

Answer:

Upper P99 = 17 in.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 14.2, \sigma = 1.2[/tex]

Upper P99

This is X when Z has a pvalue of 0.99. So X when Z = 2.327.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.327 = \frac{X - 14.2}{1.2}[/tex]

[tex]X - 14.2 = 1.2*2.327[/tex]

[tex]X = 17[/tex]

So

Upper P99 = 17 in.

Please answer correctly !!!! Will mark brainliest !!!!!!!!!!!

Answers

Step-by-step explanation:

see the attachement

hope it helps you....

Simplify the Algebraic Expressions Problems 15 - 19.

15. 7c + 8d + 2c + 17d =

16. 4(2m - 3p) + 12m + 7p =

17. (15j +9z) - (12j + 6z) =

18. 3y + 6.7x + y + 2.3x +10 - 7 =

19. 2b + (-6c) +5e - 11b + e+ 6c =

Answers

Answer: The answers are provided below

Step-by-step explanation:

15. 7c + 8d + 2c + 17d

= 7c + 2c + 8d + 17d

= 9c + 25d

16. 4(2m - 3p) + 12m + 7p

= 8m - 12p + 12m + 7p

= 8m + 12m -12p + 7p

= 20m - 5p

17. (15j +9z) - (12j + 6z)

= 15j - 12j + 9z + 6x

= 3j + 15z

18. 3y + 6.7x + y + 2.3x +10 - 7

= 6.7x + 2.3x + 3y + y + 10 - 7

= 9x + 4y + 3

19. 2b + (-6c) +5e - 11b + e+ 6c

= 2b - 11b - 6c + 6c + 5e + e

= -9b + 6e

if a=3 then what does 5(a+5) equal show all steps

Answers

Answer:

40

Step-by-step explanation:

5(a+5)

Let a =3

5(3+5)

Parentheses first

5(8)

Multiply

40

Answer:

40

Step-by-step explanation:

5(a+5)

5(3+5)

5(8)

40

The ratio of boys to girls in a class is 4:5
A. What fraction of the class are boys?
B. What fraction of the class are girls?

Answers

Answer:

Boys = 4/9

Girls = 5/9

Step-by-step explanation:

You add the ratio parts to find what the fraction is over.

5 + 4 = 9

Then you just need to know which part is boys and which is girls.

Boys to Girls = 4:5

Therefore Boys = 4/9 and Girls = 5/9.

Fraction of the class are boys = 4/9

Fraction of the class are girls = 5/9

What is ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given:

ratio of boys to girls = 4:5

Now, total of the ratio is = 4+5 = 9

So, fraction of the class are boys = 4/9

and, fraction of the class are girls= 5/9

Learn more about ratio here:

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classify the following triangle check all that apply

A.Isosceles
B.Scalene
C.Right
D.Obtuse
E.Acute
F.Equilateral​

Answers

Answer:

c.Right

Step-by-step explanation:

because of the 90 degrees it shows that it is 90 degrees

Answer:

B. scalene

C. right

Step-by-step explanation:

Work out
3/4 times 1/2

Answers

Answer:

[tex]\frac{3}{4} * \frac{1}{2} = \frac{3}{8}[/tex] alternatively, the answer is 0.375

Charlotte’s essay on pigs was 824 words in length. Wilbur’s essay was only 360 words long. What is the ratio of Charlotte’s essay to Wilbur’s?

Answers

Answer:

824/360 or 824:360

Step-by-step explanation:

quick mafs

Answer:824/360,p or 824:360 or 824 to 360

Find the indicated term of the given arithmetic sequence.

a14 for 200, 196, 192, ...

Answers

Answer:

148

Step-by-step explanation:

AP 200, 196, 192, ...

a14=?

---------

a1= 200

d= 196-200=192-196= -4

a14= a1+13d

a14= 200+13*(-4)= 200- 52= 148

Need help with equations with variables on both sides, giving 100 points, tysm if you help :) 6 (2x-4) = 8(x +2) A. 3 B. 10 C. 2 D. -2 3 (4p - 2) = -6 (1 - 2p) A. no solution B. all real numbers C. 0 D. -6 5 ( x- 2) = 3 (x + 6) -8 A. 10 B. 1 C. -1 D. 0 6 (2x-3) = - (x - 9) + 4x A. -6 B. -3 C. 9 D. 3

Answers

Answer:

B. 10

C. All real numbers.

Step-by-step explanation:

6 (2x-4) = 8(x + 2)

Distribute the numbers outside of the factors:

12x - 24 = 8x + 16

Subtract both sides by '8x'

12x - 8x - 24 = 8x - 8x + 16

4x - 24 = 16

Add '24' to both sides:

4x = 40

Divide both sides by 4:

x = 10. Therefore, B. 10 is the correct answer.

3(4p - 2) = -6(1 - 2p)

Distribute the numbers similarly to the example before:

12p - 6 = -6 + 12p

Subtract '12p' from both sides:

12p - 12p -6 = -6 + 12p - 12p

0 -6 = -6

Add '6' to both sides:

0 - 6 + 6 = -6 + 6

0 = 0

Therefore, the solution consists of all real numbers.

A ladder is leaning against a wall. The length of the ladder is 15 meters and
the base of the ladder is placed 9 meters away from the wall. How far up
the wall will this ladder reach?

A.) 6 m
B.) 10 m
C.) 12 m
D.) 18 m​

Answers

Answer:

the ladder is “c2” 15 X 15 =225

9 feet out is still squared to 81.

So c2 (225) - b2 (81) is 144 (a2)

Sqrt of 144 is 12. The ladder will be 12′ up the wall.

Answer: 12m

Step-by-step explanation:

P.S I'm emo

A bicycle wheel is 63 centimeters from top to bottom. When the wheel goes all the way around one time,the bicycle travels 198 centimeters. How can this information be used to estimate the value of

Answers

Divide the distance traveled by the wheel to guess the value or estimate the value of π.

What is a circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center.

Given

Height of the wheel = 198

Perimeter of the wheel = 63

Height of the wheel is the diameter of the circle

Perimeter of the circle is  π × diameter of the circle

P = [tex]\pi[/tex] × d

198 = [tex]\pi[/tex] × 63

[tex]\pi[/tex] = [tex]\frac{198}{63}[/tex]

[tex]\pi[/tex] = 3.14

Hence, Divide the distance traveled by the wheel to guess the value or estimate the value of π.

Learn more about circle here

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How many imaginary roots can an equation have?

Answers

Answer:

Step-by-step explanation:

if it is an even degree polynomial then it can have imaginary roots =degree of polynomial.

if it is an odd degree polynomial (say 2n+1 degree) then it can have at the most 2n imaginary roots.

What is the solution of the equation (x – 5)^2 + 3(x – 5) + 9 = 0? Use u substitution and the quadratic formula to solve.

A) x=-3+3i√3/2 B) x=7+3i√3/2 C) x=2 D) x=8

Answers

Answer:

[tex] x = \dfrac{7 \pm 3i\sqrt{3}}{2} [/tex]

Step-by-step explanation:

(x – 5)^2 + 3(x – 5) + 9 = 0

This is a quadratic equation in x - 5.

Let u = x - 5, then the quadratic equation becomes:

u^2 + 3u + 9 = 0

We can use the quadratic formula to solve for u.

[tex] u = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] u = \dfrac{-3 \pm \sqrt{3^2 - 4(1)(9)}}{2(1)} [/tex]

[tex] u = \dfrac{-3 \pm \sqrt{9 - 36}}{2} [/tex]

[tex] u = \dfrac{-3 \pm \sqrt{-27}}{2} [/tex]

[tex] u = \dfrac{-3 \pm 3i\sqrt{3}}{2} [/tex]

Since u = x - 5, now we substitute x - 5 for u and solve for x.

[tex] x - 5 = \dfrac{-3 \pm 3i\sqrt{3}}{2} [/tex]

[tex] x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + 5 [/tex]

[tex] x = \dfrac{-3 \pm 3i\sqrt{3}}{2} + \dfrac{10}{2} [/tex]

[tex] x = \dfrac{7 \pm 3i\sqrt{3}}{2} [/tex]

Answer:

x = 7+/-3i sqrt3 over 2

Step-by-step explanation:

express 0.0043216 in standard form​

Answers

Answer:4.3216*10^-3

Step-by-step explanation:

Answer:

4.3216*10^(-3)

Step-by-step explanation:

Moving the decimal point 3 places to the right results in 4.3216*10^(-3), which is in standard form.

f(x)=(x-3)^2+5 plot the vertex and the axis of symmetry of this function.

Answers

Answer:

The vertex is located at (3,5)

The axis of symmetry is x = 3

The plot is in the image attached

Step-by-step explanation:

First we need to find the vertex of the quadratic function. We can find the x-coordinate of the vertex using the formula:

x_v = -b / 2a

Where 'a' and 'b' are coefficients of the quadratic equation in the model:

ax^2 + bx + c = 0

Then we need to expand the terms of f(x):

f(x) = (x-3)^2 + 5

f(x) = x^2 - 6x + 9 + 5

f(x) = x^2 - 6x + 14

So we have a = 1 and b = -6

Then the x-coordinate of the vertex is:

x_v = 6 / 2 = 3

We can use this value in f(x) to find the y-coordinate of the vertex:

f(x_v) = 3^2 - 6*3 + 14 = 5

So the vertex is located at (3,5)

The axis of symmetry is the vertical line traced in the vertex, so it is x = 3

The plot is in the image attached. The circle at (3,5) is the vertex, and the blue line is the axis of symmetry.

Ricky has found that for every belt buckle he sells, he makes 7 + bx 4 dollars in profit, where b is the number of belt
buckles sold. How much profit will Ricky make by selling 52 belt buckles?

Answers

Answer:

215$ in profit

Step-by-step explanation:

So first, plug 52 into the equation. That makes it 7+52*4. In PEMDAS, multiplication goes first. So multiply 52*4. That makes it 208. So now plug 208 into the equation. That is 7+208. Finally, you finish the equation. 7+208 is 215, so Ricky make 215$ in profit.

One term of (x+y)^m is 31,824x^18y^11
What is the value of m ?

Answers

Answer: The value of m is 29.

Step-by-step explanation:

Given that, One term of [tex](x+y)^m[/tex] is [tex]31,824x^{18}y^{11}[/tex]  ...(i)

We know that that (r+1)th term in [tex](a+b)^n[/tex] is given by :-

[tex]T_{r+1}=^nC_ra^{n-r}b^r[/tex]  ...(ii)

On comparing (i) with (ii) , we get

[tex]a= x \text{ and } b= y \\n-r =18 \text{ and } r=11\\n=m[/tex]

i.e.

[tex]m-r=18\Rightarow\ m-11=18\\\\\Rightarrow\ m=18+11=29[/tex]

Hence, the value of m is 29.

Solve: 2x – 3 = 5(x + 6)

Answers

Answer:

-11 =x

Step-by-step explanation:

2x – 3 = 5(x + 6)

Distribute

2x -3 = 5x + 30

Subtract 2x from each side

2x -3 -2x = 5x -2x +30

-3 =3x +30

Subtract 30 from each side

-3-30 =3x+30-30

-33 = 3x

Divide by 3

-33/3 = 3x/3

-11 =x

Answer:

x=(-11)

Step-by-step explanation:

2x - 3=5(x+6)

2x - 3 = 5x + 30

    +3          +3

2x = 5x + 33

-5x   -5x

-3x = 33

(divide both sides by -3)

x=(-11)

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