Lee and Lyn both invested their birthday money. Lee put his money in a savings account that earned 8% simple interest annually. Lyn put her money in an account that earned 8% interest compounded annually. Who made the better investment and why?

Answers

Answer 1
Lyn made a better investment.

Her money will grow quicker than Lee because the money grows by 8% annually, and then the next year 8% off of the new balance.

Lee's money will only grow by 8% from the original price.

Related Questions

help me please i dont know how to do all of this ill really appreciate it please

Answers

Hello!

The expression: [tex]-14c-7(-19c-6)[/tex].

First step: Apply the Distributive Property; it is [tex]a(b + c) = ab + ac[/tex].

[tex]-14c-7(-19c-6)[/tex]
[tex]-14c+133c+42[/tex]

[A negative times a negative equals a positive.]
Next step: Combine like terms.

[tex]-14c+133c+42[/tex]
[tex]119c+42[/tex]

The simplified expression is [tex]119c+42[/tex].
Okay. First things first, we will distribute the -7 out to the numbers in the parenthesis. To do that, you will multiply each number in there by -7. -7 * -19c is 133 and -7 * -6 is 42. That makes the numbers become 133c + 42. We will combine like terms with -14c. 133c - 14c is 119c. The expression becomes 119c + 42. The expression in simplest form is 119c + 42.

Bill is a car salesman he earns $200 for every car he sales plus a 3% commission if Bill sells three cars in one week for a total of $32,343 what are his total earnings for this week

Answers

3 cars earns him $600.

(0.03)*$32,343 = $907.29 commission

total earnings = $907.29 + $600
= $1,507.29

Helppppppppppppppppppp

Answers

Hey there! :D

Remember that the question said estimate. 

So 

47% rounds to 50% 

.5 and 1/2 are equal to 50% 

89 rounds to 90. 

You could say that:

1/2*90

0.5*90

90/2 

These will all work and will give you the same answer. 

I hope this helps!
~kaikers
Hi!

To get a good estimate you would round 47% up to 50% and 89 up to 90. Since 50% is half, making one of your answers divide 90 by 2.

You can also round 47% to 50% and make it into a decimal, so .5. This means you can also multiply .5 by 90.

Lastly, you can round 47% to 50%  and make it a fraction, which would be 1/2. Therefore, you can multiple 1/2 by 90 and get the same answer.

Overall, the correct answers should be A, B, and D.

Hope this helps!

What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 5.5? A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm. Perimeter = 50 cm, area = 155.25 cm2 Perimeter = 50 cm, area = 1,452 cm2 Perimeter = 154 cm, area = 155.25 cm2 Perimeter = 154 cm, area = 1,452 cm2

Answers

The perimeter of the rectangle is by definition:
 P = 2W + 2L
 Where,
 W: width
 L: long
 We have then:
 P = 2 (5.5 * 6) +2 (5.5 * 8)
 P = 154 cm

 The area of the rectangle is by definition:
 A = (W) * (L)
 Where,
 W: width
 L: long
 We have then:
 A = (5.5 * 6) * (5.5 * 8)
 A = 1452 cm ^ 2

 Answer:
 
Perimeter = 154 cm, area = 1,452 cm2

Answer:

the answer is 154 cm, area = 1,452 cm2 I took the test

Step-by-step explanation:

Which expression can be simplified by applying the additive inverse property

Answers

D, because 9 3/4 and -9 3/4 cancel out to 0, which is the additive inverse property.

We have to identify the expression in which Additive inverse identity is applied.

Additive inverse property states that "The additive inverse of a number 'x' is a number that when it is added to 'x', yields zero".

Consider the first expression,

A. [tex] -329-164+513+206+(-164) [/tex]

There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.

B. [tex] 1.6+0.2-1.8-0.5 [/tex]

There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.

C. [tex] -\frac{7}{10}-\frac{3}{4}+1\frac{1}{2}+(-\frac{7}{10}) [/tex]

There are no such numbers, which will yield zero on addition. Hence, additive inverse property is not applied here.

D. [tex] 9\frac{3}{4}\+4\frac{5}{8}+(-9\frac{3}{4}+(2\frac{3}{5}) [/tex]

Here, [tex] 9\frac{3}{4} [/tex] when added to [tex] -9\frac{3}{4} [/tex] will yield zero. Therefore, [tex] -9\frac{3}{4} [/tex] is the additive inverse of [tex] 9\frac{3}{4} [/tex].

So, in option D, Additive inverse property is applied.


PLEASE HELP
Law of sines:

Which represents the value of c?




Answers

Answer:  3sin(45) over sin(40)

Using the law of sins that is given, you can write the following proportion.
3/sin(40) = c/sin(45)

All you have to do to solve for C is to multiply by sin(45). In the proportion, the letter are the side lengths and the trig ratios are of the angle opposite the side.

ANSWER

[tex] c = \frac{3 \sin(45 \degree)}{\sin(40 \degree)} [/tex]




EXPLANATION

The sum of the interior angles of the given triangle is
[tex]180 \degree[/tex]


This implies that

[tex]A + 95 \degree + 45 \degree = 180 \degree[/tex]


We group like terms to get,

[tex]A = 180 - 140[/tex]


[tex]A = 40 \degree[/tex]


The law of sines is given by,

[tex] \frac{ \sin(A) }{a} = \frac{ \sin(B) }{b} = \frac{ \sin(C) }{c} [/tex]


Based on our known values, we use,
[tex] \frac{ \sin(A) }{a} = \frac{ \sin(C) }{c} [/tex]

We now substitute the values to get,

[tex] \frac{ \sin(40 \degree) }{3} = \frac{ \sin(45 \degree) }{c} [/tex]

We reciprocate both sides of the equation to get,

[tex] \frac{ 3}{\sin(40 \degree)} = \frac{ c }{\sin(45 \degree)} [/tex]


We now multiply both sides by
[tex] \sin(45 \degree) [/tex]
to get,

[tex] \frac{3 \sin(45 \degree)}{\sin(40 \degree)} =c[/tex]


or


[tex] c = \frac{3 \sin(45 \degree)}{\sin(40 \degree)} [/tex]

The correct answer is B.

On a winter’s day, 9 degrees Fahrenheit is the highest temperature recorded. Write an inequality that represents the temperature t in degrees Fahrenheit at any time on this day.

Answers

Answer: The inequality that represents the temperature t in degrees Fahrenheit at any time on this day is [tex]t\leq 9[/tex] degree Fahrenheit.

Explanation:

It is given that on a winter’s day, 9 degrees Fahrenheit is the highest temperature recorded. It means the temperature on this day must be less than or equal to 9 degree Fahrenheit.

Let t represents the temperature in degrees Fahrenheit at any time on this day. Then,

[tex]t\leq 9[/tex]

Therefore, the inequality that represents the temperature t in degrees Fahrenheit at any time on this day is [tex]t\leq 9[/tex] degree Fahrenheit.

Answer:

[tex]t\leq 9^{0}F[/tex]

Step-by-step explanation:

We have been given that highest temperature recorded on a winter’s day is 9 degrees Fahrenheit and we are asked to write an inequality that represents the temperature t in degrees Fahrenheit at any time on this day.

Since we know that highest temperature can't exceed 9 degrees Fahrenheit on the given day and it will be less than or equal to 9.

Therefore, our inequality will be,[tex]t\leq 9^{0}F[/tex]


Movies are on sale for 14 the original price. If the original price is $20, which expression gives the sale price?

Answers

Answer:

20×1/4

Step-by-step explanation:

Answer:

This is super late but I want to help others who don't know the answer

Step-by-step explanation:

The answer is in the picture.

Thank me later :)

to function properly, rainwater outflow pipe must drop exactly 1 inch for every 25 inches of horizontal distance. A 40 foot long rain water pipe runs under the edge of a roof. What is the vertical distance, in inches, the pipe bust drop between its ends? Round your number to the nearest tenth.

Answers

40 ft x 12 to convert it to inches.
480 inches / 25 inches = 19.2 Inches dropped.

Answer: Hence, There is vertical distance of 19 inches the pipe must drop between its ends.

Step-by-step explanation:

Since we have given that

Rainwater outflow pipe must drop exactly 1 inch for every 25 inches of horizontal distance.

For 1 inch = 25 inches of vertical distance the pipe must drop.

If there is a 40 foot long rain water pipe runs under the edge of a roof.

Then, we need to find the vertical distance in inches the pope must drop.

First, we change 40 feet into inches.

Since 1 foot = 12 inches

40 feet = 40×12 inches = 480 inches

So, Vertical distance the pipe must drop is given by

[tex]\dfrac{480}{25}\\\\=19.2\ inches[/tex]

Hence, There is vertical distance of 19.2 inches ≈ 19 inches the pipe must drop between its ends.

Jeremy and Caitlin collect baseball cards. the ratio of Jeremy’s cards and Caitlin’s cards was 9 to 3. After Jeremy gave 12 carss to Caitlin, they had an equal number of cards. How many cards did Caitlin and Jeremy have at first? Explain.

Answers

you didnt say this right can you give better sentences please

Jose wants to build a rectangular kennel for his dog. His dad will let him useca spot in the corner of the yard that is 12 feet 3 inches by 8 feet 11 inches, Estimate how much fencing he will need to buy for the kennel.
A. About 21 ft
B. About 33 ft
C. About 42 ft
D. About 84 ft

Answers

the answer is probably about 21 feet






Answer:

I correct answer is: C

Step-by-step explanation:

About 42ft

I hope this helps! :)

Plz mark brainliest

A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points L(−7,14) , M(9,14) , and N(9,−12) . Point P is the fourth vertex of the rectangle. How long is the side of the rectangle connecting points L and P?

Answers

it 38 units hope this helps

Answer:

the answer is 26 units

Step-by-step explanation:

what is the answer


solve 4.8+n=6.2

Answers

To find the value of n you first need to isolate it. To do this subtract 4.8 from both sides of the equation to keep it balanced. 4.8+n-4.8=6.2-4.8
Now you have n = 1.4
n=0.774194 your welcome because im litrally the best :]

Thomas correctly spell 18 out of 20 words on his last spelling quiz. What decimal represent the portion of the rights that Thomas spelled correctly

Answers

The answer is 0.90

I used a rather ghetto way to answer this question.

first, I multiplied 20 by 5 to get it to 100 then I multiplied 18 by the same number (5) and got 90. That makes 90 out of 100 which is 0.90

Final answer:

Thomas spelled 18 out of 20 words correctly, which, when divided, gives us 0.9. This decimal represents the portion of the words he spelled correctly on his quiz.

Explanation:

To find the decimal that represents the portion of words Thomas spelled correctly on his quiz, we follow a simple process of division and conversion to a decimal.

Thomas spelled 18 out of 20 words correctly. So, we divide 18 by 20 which equals 0.9. This is the decimal that represents the portion of words Thomas spelled correctly.

Ted is installing lighting in a new block of 12 apartments. He will need 60 metres of cable for each apartment. Each new spool holds 100 metres of cable. What is the smallest number of new spools that Ted will need for this job ??

Answers

60 meters per apartment x 12 apartments =720total metes for all 12 apartments 720 meters / 100 meters per spools =7.2 spools so, Ted will need at least 8 spools of cable.

The smallest number of new spools that Ted will need for this job is 8 spools of cable.

Given that, Ted is installing lighting in a new block of 12 apartments. He will need 60 metres of cable for each apartment. Each new spool holds 100 metres of cable.

We need to find the smallest number of new spools that Ted will need for this job.

What are the spools?

A cylindrical device on which film, magnetic tape, thread, or other flexible materials can be wound; a reel.

Now, 60 meters per apartment x 12 apartments =720 total meters for all 12 apartments.

720 meters / 100 meters per spool =7.2 spools

so, Ted will need at least 8 spools of cable.

Therefore, the smallest number of new spools that Ted will need for this job is 8 spools of cable.

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What is the exact volume of the cylinder?, (a) 54in. (b) 108in. (c) 162in. (d) 324in.

Answers

9x 6x6x3.14 = 1017.36
I followed the formula but why donMt have the answer right here

Ethan is 3 years older than twice his brother Adrian’s age write an expersion to represent Ethan’s age ; if Adrian is 6 how old is Ethan;

Answers

Hi!

Expression: 6(2)+3

Ethan is 3 years older than twice his brother's age. 

6(2)+3

12+3

15

Ethan is 15.

Happy studying! 
~SimpleGirl~
Start with Ethan being twice as old as his brother Adrian. If Adrian's age is represented by x, then we can use the expression 2x. Ethan is also three years older than twice that age though, so modify the expression to add three years.

2x + 3. Now substitute Adrian's age, 6, into x and solve.

2(6) + 3
12 + 3
15.
If Adrian is 6, then Ethan is 15.

Kayleen left home at noon and drove to boston.she got there at 4:00.if boston is about 280 miles away,what was kayleens average speed

Answers

It took 4 hours for Kayleen to get to Boston, so we do 280/4 = 70 miles per hour.
---
Hope this helps!
70 mph Hope this helps

The price of a shirt was $38. It was reduced by 20% and then again by 10%.

a. What is the final price of the shirt?

b. What would the price of the shirt be if it were reduced by 30% from the original?

c. Explain why the two prices in a. and b. differ.

Answers

a) 38*(1-20%)*(1-10%)=27.36
b)38*(1-30%)=26.6
c)Because in question one when you take off the 10% it is 10% of the already off price but when you take off 30% it is taking off from the original price

Answer:

A- The final price of the shirt was $27.36.

B- If it were reduced by 30% from the original price, the price of the shirt would be $26.6.

C- There is a difference between both prices because in the first case, the discount is split, making a first discount on a larger basis, and the second on a smaller basis, already made the first discount.

In contrast, at the second price, the entire percentage is made on the major basis. Therefore, the discount is larger.

Step-by-step explanation:

A- The final price of the shirt is determined by the following calculation:

(38 x 0.8) x 0.9 = FINAL PRICE

38 is multiplied by 0.8 because the price was reduced by 20% (0.2 is the 20% of 1, that is, of a unit. Therefore, the remaining price would be that 0.8 or 80%)

Then, using the same logic, we have to multiply that result by 0.9 in order to get the final price.

Therefore:

(38 x 0.8) x 0.9 = 30.4 x 0.9 = 27.36

B- Here, we would have to multiply 38 x 0.7, which gives a result of 26.6

Sophie bikes at a speed of s miles per hour. Her friend Rana is slower, her biking speed is only r miles per hour.

Today the girls went for a 20 miles trip, each girl was biking at her usual speed. How long did Sophie wait for Rana after her own arrival to the finish?

Answers

Answer:

She waited for 20/r-20/s at the end of the line.

Step-by-step explanation:

The solution is, Time Sophie waits for Rana to arrive at finish point

=20/s - 20/r.

What is speed?

Speed is measured as distance moved over time. The formula for speed is speed = distance ÷ time. To work out what the units are for speed, you need to know the units for distance and time. In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

here, we have,

The speed of Sophie and Rana are given as s miles per hour and r miles per hour.

The distance traveled by Sophie and Rand are 20 miles each.

The time taken by Sophie and Rana to travel 20 miles can be calculated by the formula

Speed =distance/time

Or, Time =distance/speed

Time taken by Sophie to travel 20 miles =20/s

Time taken by Rana to travel 20 miles =20/r

Time Sophie waits for Rana to arrive at finish point =20/s - 20/r

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jane wants to fill her circular pool to a depth of 2m.determine the volume of water she needs,to the nearest cubic meter.

Answers

Final answer:

To find the volume of water needed to fill the pool to a depth of 2m, use the formula for the volume of a cylinder.

Explanation:

To determine the volume of water needed to fill the circular pool to a depth of 2m, you can use the formula for the volume of a cylinder:

V = πr²h

Given that the pool is circular, h = 2m, and to the nearest cubic meter, you would need:

Volume of water = π( r )²( 2 )

Solve the recurrence relation for the variables indicated below: bn = 8bn-1 - 15bn-2 b1 = 2 b2 = 16 If the explicit formula for the sequence is written in the form bn = u(s1)n + v(s2)n then find s1 and s2 .

Answers

I'm not to sure but 36

The recurrence relation is given by bn = 8bn-1 - 15bn-2 with b1 = 2 and b2 = 16.

How to depict the solution?

Since it is linear homogeneous recurrence relation ,so first find its characteristic equation.

r² - 8r + 15 = 0

( r - 3 )( r - 5 ) = 0

r = 3 , 5

So, the general solution of the given recurrence relation is

bn = u(3)n + v(5)n ------------ ( 1 )

Now use the initial conditions b1 = 2 and b2 = 16.

From ( 1 ) , b1 = u(3)1 + v(5)1

2 = 3u + 5v ---------- ( 2 )

and b2 = u(3)2 + v(5)2

16 = 9u+ 25v------- ( 3 )

Solving ( 2 ) and ( 3 ) , we get u= - 1 and v = 1

Therefore, the required solution is bn = - (3)n + (5)n

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An air freshener starts with 33 grams and evaporates. In each of the following situations define a function that gives the remaining mass of the air freshener (in grams) in terms of the number of days, t t, since the air freshener was first used.

Answers

Hello!

A) 
The mass of the air freshener A decreases by 3.2 grams each day. Define a function, f, to represent this situation.

In this function, the mass of the air freshener A (m) is the dependent variable and the days (t) and the initial amount of the air freshener A (mi) are the independent variables. If the mass decreases by a fixed amount each day, you only have to multiply this amount by the number of days:

[tex]m=mi-(3,2*t)[/tex]

B) The mass of the air freshener B decreases by 3.2% each day. Define a function, g, to represent this situation.

This function is trickier since there isn't a fixed amount of decreasing. Instead, the rate of decreasing depends on the initial amount of the freshener (mi). You have to include this initial amount in the equation to correctly model it. This is how you do it:

[tex]m=mi-(mi* \frac{3,2}{100}*t) [/tex]

Have a nice day!

What is the slope of the line in the graph?

Answers

the slope is 2/2 ; rise over run

The slope of the line in the given graph with the coordinates  (x₁ , y₁ ) = (4, 5) and (x₂ , y₂) = (2, 3) is equal to 1.

The slope of a line is calculated by rise over run.

Here is the formula for calculating the slope of a line:

Slope = (y₂ - y₁) / (x₂ - x₁)

Here, the points (x₁ , y₁ ) = (4, 5) and (x₂ , y₂) = (2, 3) are on the line. Plugging these points into the formula, we get:

Slope

= (3 - 5) / (2 - 4)

= (-2) / (-2)

= 1

Therefore, the slope of the line is 1.

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when 80% of a number is added to the number, the result is 252. what is the number

Answers

I Think The Answer Is 140.

The Expression: 0.8x + x = 252 Can Explain The Answer If x = 140.
Or: 1.8 Times x = 252 If x = 140.

3+7x<26 help me with this equaton

Answers

3+ 7x < 26
-3 -3

7x < 23

divide by 7 to isolate x (variable)

x< 7/23 final answer

I am a closed shape made of 6 line segments. I have two angles less than right angle & no right angles. What shape am I?

Answers

the shape you're is a hexagon.

You are a hexagon. You have 6 sides and hexagons have 6 sides.

The unit of measure of an area equal to 1 km by 1m

Answers

1km = 1000m is this what are you looking for

Compare the volumes of the rectangular prisms shown below. Which of the containers will hold more, X or Y? In your final answer, include all of your calculations.

Answers

X will be your answer because 6X3X7=126=X 11X2X5=110=y, X>Y.  Brainliest? 

The volumes of the rectangular prism 'X' (126 cu.cm.) is greater than the volumes of the rectangular prism 'Y' (110 cu.cm.).

What is the volume of the rectangular prism?

[tex]V=l\times w\times h[/tex]

where, 'l' be the length of the rectangular prism,

'w' is the width  of the rectangular prism,

'h' is the height of the rectangular prism

For given question,

We have been given two rectangular prisms 'X' and 'Y'.

The dimensions of the rectangular prism 'X',

[tex]l=7~cm,w=3~cm,h=6~cm[/tex]

Using the formula for the volume of the rectangular prism,

[tex]\Rightarrow V=l\times w\times h\\\\\Rightarrow V=7\times 3\times 6\\\\\Rightarrow V=126~cu.cm.[/tex]                      ...................(i)

The dimensions of the rectangular prism 'Y',

[tex]l=5~cm,w=2~cm,h=11~cm[/tex]

Using the formula for the volume of the rectangular prism,

[tex]\Rightarrow V=l\times w\times h\\\\\Rightarrow V=5\times 2\times 11\\\\\Rightarrow V=110~cu.cm.[/tex]                        ...............(ii)

From (i) and (ii),

the volume of the rectangular prism 'X' is greater than the volume of the rectangular prism 'Y'.

Therefore, the volume of the rectangular prism 'X' (126 cu.cm.) is greater than the volume of the rectangular prism 'Y' (110 cu.cm.)

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evaluate x - 2y if x = -3 and y = -6

Answers

x - 2y
= -3 - 2(-6)
= - 3 + 12
= 9
The answer is 30 because -3-2=-3+(-2)=-5 then -5(-6) equals 30 because when you multiply two negatives it equals a positive
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