Mathematics High School

A pair of investments have identical future values of $15,000

with 15-

year maturities. Option A has an 8%

interest rate compounded annually. Option B has a 10%

simple interest rate.


Which statements are true about the present values of the investments?
Option A has a PV of $4728.63.
$
4728.63
.
Option A has a PV of

Option B has a lower PV than Option A.
Option B has a lower PV than Option A.

Option A has a PV of $6818.18.
$
6818.18
.
Option A has a PV of

Option A has a lower PV than Option B

Answers

Answer 1

Answer:

Option A has a PV of $4728.63.

AND

Option A has a lower PV than Option B.

Step-by-step explanation:

You just gotta live it man. We're all gonna make it bros.

Related Questions

Convert 35cm/sec= M/min

Step by step

Answers

Answer:

2.9

Step-by-step explanation:

Video One, a Blu-ray disc player manufacture, produces two model of Blu-ray players. The mini-blue, which can only play a Blu-ray disc and the media-blue that plays Blu-ray disc and contains a personal DVR. The players are assembled on two different assembly lines. Line 1 can assemble 3 units of the mini-blue model and 13 units of the media-blue model per hours, and Line 2 can assemble 4 units of the mini-blue model and 4 units of the media-blue model per hours. The company needs to produce at least 24 units of the mini-blue model and 64 units of the media-blue model to fill an order.Letx= the number of hours for Line 1Lety= the number of hours for Line 2.Write the system of inequalities≥24≥64Graph the system of inequalities.

Answers

The question is an illustration of inequalities and equation.

The system of inequalities are: [tex]\mathbf{3x + 4y \ge 24}[/tex] and [tex]\mathbf{13x + 4y = 64}[/tex]

Represent the number of hours for lines 1 and 2 with x and y.

So, we have:

Minibus

Line 1 = 3

Line 2 = 4

Total: At least 24

Media-blue

Line 1 = 13

Line 2 = 4

Total = 64

At least means greater than or equal to.

So, the system of inequalities are:

[tex]\mathbf{3x + 4y \ge 24}[/tex]

[tex]\mathbf{13x + 4y = 64}[/tex]

Read more about system of equations and inequalities at:

https://brainly.com/question/16339562

Justify each step of this inequality by stating the property that was used to get to each step.
Given: -4(k+5)<15-11k + 3k Property used:
Step 1: -4(k+5)<15-11k+3k Step 1:
Step 2: -4k(k+5)<15-8k Step 2:
Step 3: 4k - 20 <15 Step 3:
Step 4: 4k<35 Step 4:
Step 5: k<8.75 Step 5:

Answers

Answer:

Step-by-step explanation:

step 1 simplified like terms -11k +3k =8k

step 2 incorrect should be -4k -20 on the left side distributive property

step 3 added 8k to each side

step 4 added 20 to each side

step 5 divided each side by 4

Find the greatest common factor (reverse of distributing)

Answers

Answer:

x is the greatest common factor

Answer:

4X-4XY=0

⇔4X(1-Y)=0

Step-by-step explanation:

help please anyone if you know it help please

Answers

She needs to work 89 hours to have 1600

Helpp mmeee pleaseeeee !!
.

Answers

Answer:

the answer is 6

Step-by-step explanation:

I NEED HELP WITH GEOMETRY

Answers

the first triangle x = 44in

the second triangle x=17

1/5 oz = how many lb

Answers

Answer:

0.03125

Step-by-step explanation:

formula:

divide the mass value by 16

Answer:

1 pound

Step-by-step explanation:

I need an answer ASAP!!! Tyyyy

Answers

Part A

x = amount of money she starts with

(4/9)x = cost of the dress

(5/9)x = amount of money leftover after buying the dress

note that 4/9 and 5/9 add to 1 to represent 100% of her money

(3/4)*(5/9)x = (15/36)x = (5/12)x = amount spent on shoes

We see that she spent 5/12 of her original amount of money on shoes.

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

We can look at a more concrete example if the previous section does not make sense.

Let's multiply the denominators 9 and 4 to get 9*4 = 36. Doing this trick will mean that the later steps won't involve decimal values.

Let's say she starts off with $36

Multiply that with 4/9 to get (4/9)*36 = 16. So in this hypothetical situation, the dress costs $16 and she's left with 36-16 = 20 dollars.

Multiply that 20 by 3/4 to get (3/4)*20 = 15

In this situation, the shoes cost $15

We'll then divide the cost of the shoes (15) over the original amount of money she started with (36)

15/36 = (3*5)/(3*12) = 5/12

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

Answer:  5/12

=======================================================

Part B

From the first section in part A, we found that:

(4/9)x = amount of money spent on the dress(5/12)x = amount of money spent on shoes

Add those two expressions

(4/9)x + (5/12)x = (16/36)x + (15/36)x = (31/36)x

This indicates that buying the dress and shoes will cost (31/36)x dollars, where x is the original amount of money Jing has to start with.

The amount left over is (5/36)x because 5/36 adds with 31/36 to get 1.

Take 1/3 of this to get:

(1/3)*(5/36)x = (5/108)x

Then set this equal to 18 and solve for x

(5/108)x = 18

5x = 18*108

5x = 1944

x = 1944/5

x = 388.80

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

Let's check the answer

If she starts with 388.80 dollars, then the dress costs (4/9)*388.80 = 172.80

She's left with 388.80 - 172.80 = 216 dollars after buying the dress.

She then spends the remaining 3/4 of that on shoes. So (3/4)*216 = 162 dollars is spent on the shoes.

Jing now has 216 - 162 = 54 dollars left over.

1/3 of which is spent on the shoe bag, meaning it costs (1/3)*54 = 18 dollars

This confirms our answer.

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

Answer:  $388.80

Which is equivalent to p ÷ –5/12?

Answers

Step-by-step explanation:

[tex] \frac{p}{( \frac{ - 5}{12} )} \\ = \frac{p}{ - 5} \times 12 \\ = \frac{ - 12p}{5} \\ thank \: you[/tex]

Find the area of the shaded region.

Answers

Answer:

I think it's 2 or something more yo.

Step-by-step explanation: And to be honest I'm estimating so yeah.

Work out the Volume of this prism

Answers

Answer:

119cm³

Step-by-step explanation:

How many meters are in a kilometer?

Answers

1000 meters

brainliest?
1000 Meters = 1 Kilometer

If Steve can’t decide what bank to take a loan from, what banking service would make a bank a better option than the others?

0% financing
online banking
fee-free checking
overdraft protection

Answers

Answer:

Fee-free banking

Step-by-step explanation:

Answer:

fee free checking

Step-by-step explanation:

I'm doing Sequences I'm looking for Constant rate of change, equation and term

Answers

Do what you think is good first and try ti bring it all together!  :)

What is the volume of 7cm 4cm 2cm

Answers

Answer:

7 x 2 x 3 = 42 cm3

Step-by-step explanation:

i hope its right

stan got7

Answer: 56cm^3

To find the Volume of a shape we do…
Base * Height * Length

In this case these value will be
7cm * 4cm * 2cm = 56cm^3

Use the diagram shown to answer the question. What are the sine and cosine values of a 60° angle?

Answers

Answer:

The answer would be A.

Step-by-step explanation:

Select all the statements that best describe the graph below.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choices are :

the dependent variable is y

the rate of change is not constant

independent variable is x

This is a negative relationship

The relationship is nonlinear

If you simplify 4.5 − x − 3.6 + 2x, your answer will be __________.

Answers

Answer:

x + 0.9

Step-by-step explanation:

sorry if I'm wrong

Answer:

Step-by-step explanation:

4.5 − x − 3.6 + 2x, group like terms

2x -x +4.5 -3.6 , combine like terms

x + 0.9

Please help , asap please

Answers

Answer: 14

Step-by-step explanation:

3+12 = 15. If the third side is 15, this would be two straight lines that overlap. The third side must be smaller that the sum of the other 2. The largest whole number would be 14.

What is a common mistake for finding slope from 2 points

Answers

Answer:

A common mistake is doing x2-x1/y2-y1 instead of the correct slope formula which is y2-y1/x2-x1

Step-by-step explanation:

Can someone tell me the answer and explain it please

Answers

Answer:

x^2 - y^2

Step-by-step explanation:

In the following problem, we can use the distributive property to simplify:

(x + y)(x - y)

We can start by multiplying the x's together, giving us x^2.

Next is the first x multiplied by -y in the second parenthesis. This gives us -xy.

Now, we can move on the the y in the first parenthesis: y times x(in the second parenthesis) is xy.

Lastly, we have y times -y which gives us -y^2.

(This process is shown in the image attached)

If we aa these together we get:

x^2 - xy + xy - y^2

If we add -xy and xy it would be 0 because if you add a number with it's opposite, they cancel out. We are just left with x^2 - y^2.

REPOST*
Which equation or inequality shows the relationship between the plotted points on the number line
A. 3 < -6
B.-6 > -3.
C.-6 < -3
D.-3 < -6

Answers

Answer:

C

Step-by-step explanation:

-6 is more to the left of the number line than -3

PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!

Answers

Answer 45^(1/2)

Step-by-step explanation:

Use the pythagorean theorem to calculate the distance of the hypotenuse formed by the two siz=des that can be calculated from the given 2 points.  X is 3: (-2 -(-5)) = 3

y is 6: (9-3) = 6

We want the hypotenuse:  z^2 = x^2  + y^2

z^2 = 9 + 36

z = [tex]\sqrt45}[/tex]

It asks for the exact answer, so 45^(1/2) sems to be the only way to express this.

If there's 1 adult for every 6 kids how many adults would there be if there 66 kids?

Answers

Answer:

11 kids

Step-by-step explanation:

Answer: There would be 11 adults

Step-by-step explanation: if there are 66 kids and 1 parent for every 6 kids that would mean that you would have to divide 66 by 6 and 66 divided by 6 is 11

66 % 6 = 11

  (the % sign is the closest sign on my keyboard to a division symble)

Going to need help with a bit more of these.. thanks brainly :)

Answers

Answer: -6

Step-by-step explanation:

ok so basically rate of change = slope or m

so take two set of points from the table and do the slope equation which is y2- y1 over x2 - x1 (i can't really do equations in brainly bc i'm new so sorry but u can search up the equation)

so in this case, let's do the points (3, -15) & (4, -21)

now let's plug those values into the equation

so - 21 + 15 = -6 and 4 - 3 = 1

now u would simplify or divide so -6 divided by 1 = -6 so that's it! hope this helps!



Solve for X
help plzzz i’ll give u brainliest

Answers

I think the two angles are on a straight line. Angles on a straight line add up to 180 degrees therefore forming the equation:

4x + 44 = 180
From there you can solve it like so:
4x=136
x=34

Therefore X is 34 degrees

Bruno put 7 liters of gas in his motorcyle.
How many milliliters was that?

Answers

Answer:

7000 milliliters

Step-by-step explanation:

1 liter = 1000 milliliters

1000 x 7 = 7000

Answer:

7000 milliliters

Step-by-step explanation:

7 Liters = 7000 milliliters.

Hallooo can someone help pls?

Answers

Answer:

x-axis: (18,0)

y-axis: (0,12)

quadrant 1: (4.5, 10.6)

quadrant 2: (-15, 21)

quadrant 3: (–3/4, –4 1/9)

quadrant 4: (3, –7)

Write a linear function f with f (5) = 7 and f (-2) = 0

Answers

Answer:     y  =  x + 2

Step-by-step explanation:

Determine points

We can use  f (5) = 7 and f (-2) = 0 to write two points.

(5 , 7)  &  (-2 , 0)

Find Slope

Slope  = (y₂ - y₁) ÷ (x₂ - x₁)

           = (7 - 0) ÷ (5 - (-2))

           = 1

       

Write the equation

equation in point-slope form (y - y₁) = m (x - x₁)

                                                (y - 0) =  1 (x - (-2))

                                                      y  =  x + 2

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