Your grandmother has given you a gift of $1500 for your birthday. You are thinking about your future and
considering two different options on how to manage your money. Option A: You take all of your $1500 and
deposit it into a savings account that has a 5% interest rate per year. Option B: You spend $500 on a new
Apple Watch and deposit the remaining $1000 in a savings account that has a 5.5% interest rate per year.
.
Which account would have the most in 10 years? 20 years? Mathematically, explain your reasoning.
Which option would you choose and why?
.
Answers
Answer:
B
Step-by-step explanation:
if you put the rest of your money in a savings account you can use that money for your college fund or maybe buy a car ect.
Answer:
OPTION A yields the most money at 10 and 20 years. Hence Option A is the better choice for "thinking about your future"
Step-by-step explanation:
In the absence of any more information, I am going to assume that Simple Interest applies. (see attached)
hence the applicable formula is:
A = P(1+rt), where
A = final amount after t years
P = Principal (beginning) amount ($1500 for option A and $1000 for option B)
r = annual interest rate (5% = 0.05 for option A and 5.5% = 0.055 for option B)
t = time (we are asked to evaluate t = 10 years and t = 20 years)
For option A :
P = $1500 and r = 5% = 0.05
A = P(1+rt)
A = 1500 [ 1 + (0.05)t]
at 10 years: A = 1500 [ 1 + (0.05)(10)] = $2,250
at 20 years: A = 1500 [ 1 + (0.05)(20)] =$3,000
For option B :
P = $1000 and r = 5.5% = 0.055
A = P(1+rt)
A = 1000 [ 1 + (0.055)t]
at 10 years: A = 1000 [ 1 + (0.055)(10)] = $1,550
at 20 years: A = 1000 [ 1 + (0.055)(20)] = $2,100
Comparing all the 4 results above, we can see that OPTION A yields the most money at 10 and 20 years. Hence Option A is the better choice for long term returns.
Related Questions
What is the value of n?
Answers
180-142=38
180-133=47
180-38-47=95
180-95=85 degrees
B
Answer:
B. 85 degrees
Step-by-step explanation:
To find the top angle inside the tringle, do 180-133 = 47. To find the angle on the left, do 180 - 142 = 38. Do 180 - 47 + 38 = 95 to find the final angle. Then do 180-95 = 85 to find the angle wanted. This is all about using lines, because the angles on both sides of the line must add to 180 if one of the lines they lie on is the same. Hope this makes sense.
how many real sixth roots does 1 have
Answers
Answer:
Im pretty sure it's 2, but Im not sure
Step-by-step explanation:
Graph the line with the given slope that passes through the given point
Slope=2;(-1,4)
Answers
Answer:
BStep-by-step explanation:
Point (-1, 4) it's point where x-coordinate is -1 and y-coordinate is 4
Graph in B is the only one passing through (-1, 4)
The equation of the line is y = 2x + 6. The graph is represented by B.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the slope of the line is 2 and the point through which it is passing is (-1,4).
The equation of the line will be calculated as,
y = mx + c
y = 2x + c
4 = -2 + c
c = 6
The equation will be written as,
y =2x + 6
The graph of the line is attached with the answer below.
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NEED HELP EMERGENCY ‼️
Answers
Answer:
A. Reflect across the y-axis
Step-by-step explanation:
if the negative sign was outside the radical then it would've been a reflection on the x-axis.
!!!!PLEASE HELP, PLATO TEST AND WILL GIVE FIRST CORRECT SERIOUS ANSWER BRAINLIEST!!!!
How many possible 3-digit area codes exist If 0 can't be the first digit, but digits can repeat?
A total of _?_ different 3-digit area codes exist.
Answers
The number of possible 3 - digit codes would be 900.
What is combination?"A combination is a way of selecting items from a collection."
For given situation,
It is a three digit code with 0 can't be the first digit.
This means the for this combination first digit can takes values from 1 - 9 and the second and third digits can take values from 0 - 9.
So, the number of possible 3 - digit codes would be,
9 × 10 × 10 = 900
Therefore, the number of possible 3 - digit codes would be 900.
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Which lines in the diagram must be parallel?
(not drawn to scale)
514
1337
47°
q
S
Answers
Answer
47
Step-by-step explanation:
£108 in the ratio 7:5
Answers
Answer:
45:63
Step-by-step explanation:
7+5=12
12u-->108
1u--> 9
5u-->45
7u-->63
Mario is constructing a wall around a rectangular area which will cover a maximum of 60 square feet. The length of the wall will be 10
feet.
Which inequality represents all the possible widths in feet, w, that Mario can use to construct the rectangular
wall?

Answers
Answer:
[tex]W \le 6[/tex]
Step-by-step explanation:
Given
[tex]Area = 60ft^2\ (max)[/tex]
[tex]Length = 10ft[/tex]
Required
Represent the width as an inequality
First, we represent the area as an inequality.
[tex]Area = 60ft^2\ (max)[/tex]
max as used above means less than or equal to.
So, we have:
[tex]Area \le 60[/tex]
The area of a rectangle is:
[tex]Area = L * W[/tex]
So, we have:
[tex]L * W \le 60[/tex]
Substitute 10 for L
[tex]10 * W \le 60[/tex]
Divide both sides by 10
[tex]\frac{10 * W}{10} \le \frac{60}{10}[/tex]
[tex]W \le \frac{60}{10}[/tex]
[tex]W \le 6[/tex]
Find (4.2) x (1.6) by drawing an area diagram or using another method. Show your reasoning. Pleae answer this I really need help. PLZ
Answers
Answer:
the answer is 6.72
Step-by-step explanation:
Instead of a diagram you can do 4.2 times 1.6 and after you finishes doing that You put the decimal 2 times and you should get 6.72
The answer is 6.72
What is area diagram method?The length and width of a rectangle are defined by the factors being multiplied in an area model, which is a rectangular diagram used in mathematics to solve multiplication problems. Therefore, the area of the rectangle is the product. Subsequently, it is known as the "Region model for augmentation".
Given (4.2) x (1.6)
by area drawing method make an rectangle of 4.2 and 1.6 units and make perpendicular lines at distance of 4 units and 1 units on length and breadth, the rest distance will be 0.6 and 0.2 units, now we have four different rectangles as shown in image now find area of each rectangle and add all the areas.
area of rectangle 1 = 4 x 1 = 4
area of rectangle 2 = 1 x 0.2 = 0.2
area of rectangle 3 = 4 x 0.6 = 2.4
area of rectangle 4 = 0.2 x 0.6 = 0.12
total area = 4 + 0.2 + 2.4 + 0.12
total area = 6.72
Hence (4.2) x (1.6) = 6.72
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please help solve this
(8x-4)(x^{3}-x-5)
Answers
(x−1)(x−2)2=0(x-1)(x-2)2=0
If any individual factor on the left side of the equation is equal to
00
, the entire expression will be equal to
00.x−1=0x-1=0(x−2)2=0(x-2)2=0
Set the first factor equal to
00
and solve.
x=1x=1
Set the next factor equal to
00
and solve.
x=2x=2
The final solution is all the values that make
(x−1)(x−2)2=0(x-1)(x-2)2=0
true.
x=1,2x=1,2
A family purchased tickets to a museum and spent a total of $45.00. The family purchased 5 tickets. There was $1.50 processing fee for each ticket. What is the cost of one ticket without the processing fee?
Answers
A wedding dress was marked up 35% and is now selling for $270.00. What was the original price of the dress?
Answers
Answer:
365.50 dollars
Step-by-step explanation:
multiply 270 by 35% then add that to 270
What is the result of adding these two equations?
Answers
Answer:
-18y-1
Step-by-step explanation:
algebra
HELP DUE IN 15 mins need help ASAP please!!!!!
Answers
idek but imma ask mah mate who's a maths genius or whateva to help out ig
Solve the system by substitution.
y= 10x
y= 2x - 16
Answers
Answer:
y = 16x5 which is 80 and x is 64
Step-by-step explanation:
Leroy borrowed $1500 at an annual simple interest rate of 12%. He paid $270 in interest. For what time period did Leroy borrow the money? Remember, your answer will be in years!
Answers
Step-by-step explanation:
well..this is the answer..using..time formula
Resolver usando recíprocos y multiplicativo inverso: 2X-8 = 2 5
Answers
Respuesta:
x = 33/2
Explicación:
Primero, suma 8 y luego divide 2 pa tener x solo.
graph the image of V (3,–7) after a rotation 180° clockwise around the origin.
Answers
Answer and Step-by-step explanation:
It is in the screenshot.
The point is (-3, 7), and would be noted as V'.
#teamtrees #WAP (Water And Plant)
Image of the point V is V' = (-3, 7) as shown in the graph below.
What is Coordinate Geometry?One of the most intriguing ideas in mathematics is called coordinate geometry. By using graphs with curves and lines, coordinate geometry (also known as the analytic geometry) explains how geometry and algebra are related. They can answer geometrical problems because it gives them geometrical aspects of algebra. In this area of geometry, a pair of ordered numbers is used to describe the location of points on a plane.
As per the given data:
Coordinates of point V = (3, -7)
Rotation to be given = 180° (clockwise)
For drawing the image of point V (3, -7):
Step 1: Draw a line passing through the origin and V (3, -7) extending through 2nd and 4th quadrant.
Step 2: Change sign of x and y coordinates as rotation is of 180° and mark the point in the 2nd quadrant.
Image of the point V is V' = (-3, 7) as shown in the graph below.
Hence, the image of the point V is V' = (-3, 7).
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2. A nutritionist wants to collect data on how much caffeine the average American drinks per day. She has the following ideas for how she could obtain a sample:
a. Ask the first 20 adults who arrive at a grocery store after 10:00 a.m. about the average amount of caffeine they consume each day.
b. Every 30 minutes, ask the first adult who comes into a coffee shop about the average amount of caffeine they consume each day.
Answers
Answer:
B
Step-by-step explanation:
If you start to ask after 10:00 am, a lot of people isn't drinking caffeine. And, were trying to figure out the average.
Explain how to use the distributive property. You can use the problem: 4(x+3).
Answers
Answer:
4(x + 3)
4 * x = 4x
4 *3 = 12
Final answer:
4x+12
Step-by-step explanation:
hope this helped have great day/night/afternoon! :D
Pls help pls pls than you
Answers
Answer:
b
Step-by-step explanation:
8*5=40
40*1/3=40/3
HELP WILL MARK BRAINLIEST!!!
Answers
Answer:
82,300
Step-by-step explanation:
last numbers is 345
so if 350 it would go to 400
but it is under so it goes to 300.
Answer:
1. Hundred is 82,300
2. Hundreths is 82,345.57
3. Tens is 82,350
4. Tenths is 82,345.6
Step-by-step explanation:
Hope this helps you!!
A U.S. penny has a mass of 2.5 grams. A U.S. quarter has a mass of 5.67 grams. What is the total mass of the two coins?
Answers
when is season 3 of Jurassic Park camp Crutasus coming out TELL ME THE REAL ANSWER
Answers
Jurassic Park: Camp Cretaceous season 3 is planned to release anywhere from September to October of 2021.
Answer:
It depeands on where you live but it should be out in America on January 30, 2021
Step-by-step explanation:
What is the measure of ∠XYZ? show your work
Answers
Answer:
i don't know..........,......
114.3 is what percent of 288? Round to the nearest hundredth. Please don’t get this wrong.
Answers
Answer:
39.69%
Step-by-step explanation:
Hope this helps!!
True or false : The function shown has an absolute Minimum
Pick the answer that best fits the description
Answers
Answer:
Cannot be determined
Step-by-step explanation:
You cannot assume the function travels down infinitely, because the function is not given to you. The graph could go up down left or right for all you know, you just cannot see it.
The radius of a circle is 2 millimeters. What is the circle's area?
r=2 mm
Use 3.14 for .
sanare millin
Answers
Answer:
12.56 mm²
Step-by-step explanation:
[tex]A=\pi r^{2}[/tex]
Plug the given values into the area equation
[tex]A=3.14*2^{2}\\A=3.14*4\\A=12.56[/tex]
Therefore, the area of the circle is 12.56 mm².
I hope this helps!
Please help.
Algebra.
Answers
Answer:
x^4
Step-by-step explanation:
Does the number line below represent the solution to the inequality x > -2?
Answers
Answer:
B I aplogize if its wrong i haven't done this type of math in a couple years so its foggy
Hope it Helps!