Rose and Dennis each open a savings account at the same time. Rose invests $2,600 in an account yielding 4.1% simple interest, and Dennis invests $2200 in an account yielding 5.7% simple interest. After nine years, who has the greater total amount of money, and how much greater is it?

Answers

Answer 1
The formula is
A=p (1+rt)
A future value
P present value
R interest rate
T time in years

Rose investment
A=2,600×(1+0.041×9)
A=3,559.4

Dennis investment
A=2,200×(1+0.057×9)
A=3,328.6

So Rose investment is greater than Dennis investment by
3,559.4−3,328.6=230.8

Hope it helps!

Related Questions

The sides of a triangle measure 76 mm, 8 CM, and 10 CM..What is the lengths of the two shorter sides

Answers

The two shorter sides are 76 mm and 8 cm(80 mm)

A relation is plotted as a linear function on the coordinate plane starting at point E at
(0, 27)
and ending at point F at
(5, −8).

What is the rate of change for the linear function and what is its initial value?

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~{{ 0}} &,&{{ 27}}~) % (c,d) &&(~{{ 5}} &,&{{ -8}}~) \end{array} \\\\\\ % slope = m \stackrel{\stackrel{average}{rate~of~change}}{slope}= {{ m}}\implies \cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{-8-27}{5-0}\implies \cfrac{-35}{5}\implies -7[/tex]

well, when x = 0, namely at the very beginning, y = 27, thus, that IS the initial value.

The rate of change and the initial value are given as -5 and 27 respectively.

How to represent a straight line on a graph?

To represent a straight line on a graph consider two points namely x and y intercepts of the line. To find x-intercept put y = 0 and for y-intercept put x = 0. Then draw a line passing through these two points.

Given that,

The points for the given linear function are given as (0, 27) and (5, -8) respectively.

The rate of change is equivalent to the slope of the straight line and is given as,

(-8 - 27)/(5 - 0) = -35/7 = -5

Now, the equation of the function can be written as,

(y - 27)/(x - 0) = -5

=> y - 27 = -5x

=> y = -5x + 27

The initial value is given at x = 0 as below,

y = -5 × 0 + 27

  = 27

Hence, the rate of change for the function is -5 and its initial value is 27.

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Evaluate each expression. Click on undefined as needed

Answers

if the 0 is in the numerator, the value is 0
if the 0 is in the denominator, the value is undefined

so 0/8 = 0
and 3/0 = undefined

A bicycle went 120 miles in 5 hours. A motorcycle is three times as fast as the bicycle. Find the speed of motorcycle.

Answers

If the bicycle went 120 miles in 5 hours, and the motorcycle was three times as fast as the bicycle, then the motorcycle went 480 miles in 5 hours.

Answer:

Step-by-step explanation:

120 x 5 = 600

The motorcycle is 3 times as fast.

600 x 3 = 1800

a pail hold 6 3/4 gallon of water. how much is this in cups

Answers

there are 16 cups in 1 gallon so you would have to turn the denominator in the fraction into a 16 meaning you would multiply by 4 (because 4 goes into 16, 4 times). Your new fraction is 12/16. now you do 6 gallons*16 cups and you get 96 cups. Then you add the fraction onto 96 and you would be adding 12. Your final answer is 108 cups in 6 3/4 gallons

The required, there are 108 cups of water in the pail as a pail hold 6 3/4 gallon of water.

What is a unit of measurement?

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

Here,
To convert 6 3/4 gallons to cups, we can use the fact that there are 16 cups in one gallon.

So, we can start by multiplying 6 (the number of whole gallons) by 16 to get the number of cups in those gallons:

6 gallons × 16 cups/gallon = 96 cups

Next, we need to convert the 3/4 of a gallon to cups. To do this, we can multiply the fraction by the number of cups in one gallon:

3/4 gallon × 16 cups/gallon = 12 cups

So, the total amount of water in the pail is:

96 cups + 12 cups = 108 cups

Therefore, there are 108 cups of water in the pail.

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17 ÷ 4520= what is the product

Answers

265 Remainder 15. That is, if you flip the divisor and the dividend around.

The student's question is related to dividing 17 by 4520. This is performed by a straight division resulting in a small decimal quotient, not a product. The calculation is best done using a calculator and rounding to the proper number of significant figures.

The equation given, 17 by 4520, is asking for the result of dividing 17 by 4520. To compute this, we simply perform the division, recognizing that since 4520 is much larger than 17, the answer will be a very small decimal value. The term 'product' in the student's question seems to be a mistake, as they are likely referring to the quotient obtained from the division.

When attempting to perform the computation mentally and simplify the process, one might attempt to find numbers that are more easily divisible or apply scientific notation to simplify calculations, much like re-expressing numbers to make them more manageable. However, for this division, no mental math trick simplifies it effectively, and using a calculator might be the best option.

When going through this process, it is also important to consider significant figures when giving the final answer, rounding as necessary based on the precision of the data provided.

derivative of the (sqrt of t/4t-3)

Answers

Answer:

[tex]\displaystyle \frac{dy}{dt} = \frac{-3}{2(4t- 3)^2\sqrt{\frac{t}{4t - 3}}}[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]:                                                                           [tex]\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}[/tex]

Derivative Rule [Chain Rule]:                                                                                 [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = \sqrt{\frac{t}{4t - 3}}[/tex]

Step 2: Differentiate

Basic Power Rule [Derivative Rule - Chain Rule]:                                       [tex]\displaystyle y' = \frac{1}{2\sqrt{\frac{t}{4t - 3}}} \cdot \frac{d}{dt} \bigg[ \frac{t}{4t - 3} \bigg][/tex]Derivative Rule [Quotient Rule]:                                                                   [tex]\displaystyle y' = \frac{1}{2\sqrt{\frac{t}{4t - 3}}} \cdot \frac{(t)'(4t - 3) - t(4t - 3)'}{(4t - 3)^2}[/tex]Basic Power Rule [Derivative Properties]:                                                   [tex]\displaystyle y' = \frac{1}{2\sqrt{\frac{t}{4t - 3}}} \cdot \frac{(4t - 3) - 4t}{(4t - 3)^2}[/tex]Simplify:                                                                                                         [tex]\displaystyle y' = \frac{-3}{2(4t- 3)^2\sqrt{\frac{t}{4t - 3}}}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Compare the decimals 17.20 and 17.2. Which comparison is correct? A. 17.20 > 17.2 B. 17.20 < 17.2 C. 17.20 = 17.2

Answers

Hello!

I believe the correct answer is C. 17.20 = 17.2

Hope this helps! ☺♥
Compare the decimals 17.20 and 17.2. Which comparison is correct?

c) 17.20 = 17.2


What expression is equivalent to x^2+2x-24/3x+18

Answers

The equivalent expression to [tex]x^2 + 2x - 24 / (3x + 18([/tex] is (x - 4) / 3, after factoring and simplifying the common terms.

The question is asking for an expression equivalent to [tex]x^2 + 2x - 24 / (3x + 18[/tex].

This expression can be factored and simplified.

First, notice that the quadratic expression in the numerator can be factored into (x + 6)(x - 4).

Similarly, the denominator can be factored as 3(x + 6). After factoring, we have:

= (x + 6)(x - 4) / 3(x + 6)

We can now simplify the expression by canceling out the common factor of (x + 6):

= (x + 6)(x - 4) / 3(x + 6) = (x - 4) / 3

So the equivalent expression is (x - 4) / 3.

Over a two hour time period a snail moved 76 inches. How far is this in yards? Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

Final answer:

The snail moved a total distance of 2 1/9 yards after converting 76 inches to yards using the conversion factor of 1 yard equals 36 inches.

Explanation:

To convert the distance a snail moved from inches to yards, we use the conversion factor that 1 yard equals 36 inches. Given that the snail moved 76 inches, we divide this number by 36 to find the distance in yards.

76 inches ÷ 36 inches/yard = 2 yards and 4 inches.

Since there are 36 inches in a yard, the remaining 4 inches must be converted to a fraction of a yard by dividing by 36:

4 inches ÷ 36 = 1/9 yard.

Therefore, the snail moved 2 yards and 1/9 yard, or 2 1/9 yards in total.

Draw a garden with up to 5 rows and that has the same number of flowers in each row . Then two equation that match your array .

Answers

g>5

g= the number of rows in your garden.

please help me, solve for y 2x-y=5

Answers

2x−y=5

Add -2x to both sides.

2x−y+−2x=5+−2x

−y=−2x+5

Divide both sides by -1.

[tex] \frac{-y}{-1} = \frac{-2x+5}{-1} [/tex]
‌y=2x−5

Answer:

y=2x−5

A 6-ounce can of frozen juice costs 84. Give the unit price in cents per ounce.

Answers

Write out the "rate" as follows:      84 cents / 6 ounces

Then reduce 84/6:      84/6 cents/oz  =  18 cents/oz   (answer)

A closet measure 5 feet by 3 feet does the measurement of 15 square feet show the volume inside the closet

Answers

No, it shows the area rather than the volume

erica bougfht 3 1/2 yards of fabric if she uses 2/3 of the fabric for a curtain.how much will she have left?

Answers

If she uses 2/3 of the fabric, she has 1/3 of the fabric left.

1/3 of 3 1/2 yd = 1/3 * 3 1/2 yd = 1/3 * 7/2 yd = 7/6 yd = 1 1/6 yd

Answer: She has 1 1/6 yd of fabric left.

Extra explanation:
You can do it two ways. I showed it to you one way. What I did above was: a whole thing is 3/3 of the thing since 1 = 1/1 = 3/3.
The entire amount she bought is one unit. It ios the same as 3/3 of what she bought. Since she used 2/3 of what she bought, she had 1/3 of what she bouht left. Then I found out what 1/3 of 3 1/2 is.

Here is a different way. She used 2/3 of what she bought, so find first what 2/3 of 3 1/2 yards is. Then subtract it from 3 1/2 yd.

2/3 * 3 1/2 = 2/3 * 7/2 = 14/6 = 7/3

3 1/2 - 7/3 = 7/2 - 7/3 = 21/6 - 14/6 = 7/6 = 1 1/6

As you can see, you still get the same answer, 1 1/6 yd left.

hich sentence is a run-on sentence?


A.
Dogs and hamsters are both fun pets, they relate to people in different ways.


B.
Dogs enjoy human contact; they love to fetch and chase.


C.
My hamster likes to run in his wheel, and he does not like to be held.


D.
When I try to pick up my hamster, he looks for a place to hide.

Answers

Hello!

This question has been asked under the weong subject, but I'll answer anyway.

The correct answer, I believe, would be: A. Dogs and hamsters are both fun pets, they relate to people in different ways.

I really hope this helped you out! :)

110% of 90 is what number a?
What does is a?

Answers

Hello!

110% of 90 is: 99.

I hope this was helpful! c:

If you are adding two fractions that are both less than 1/2, What must be true about the sum? Give three examples to support your thinking.

Answers

if both fractions are less than  1/2 then the sum has to be less than 1

1/8 + 3/8 = 4/8 = 1/2 , less than 1

7/16 + 1/4 = 11/16, less than 1

3/16 + 1/16 = 4/16 = 1/4, less than 1

First assume that the fractions are all positive.
Next, add 1/2 and 1/2; the sum is 1.  Thus, the two fractions must each be smaller than 1/2.

Let's try adding 5/16 and 7/16.  Both are smaller than 1/2.  Their sum is 12/16, or 3/4, which is less than 1.

Choose a couple other pairs of fractions which are between 0 and 1/2.  Then find the sum of each pair.  What do you observe about the size of these sums?

Elizabeth has $252.00 in her account on Sunday. Over the next week, she makes the following changes to her balance via deposits and purchases: Day Debit ($) Credit ($) Monday 114.60 150.00 Tuesday 79.68 --- Wednesday 161.39 --- Thursday 57.40 --- Friday 22.85 75.00 Saturday 140.55 --- On what day does Elizabeth first get charged an overdraft fee?

Answers

The answer is B) Thursday.
because- 
252.00-114.60= 137.40
137.40+150.00= 287.40
287.40-79.68 = 207.72
207.72-161.39= 46.33
Thursday's purchase(s) total was 57.40 
That exceeds her bank account total, so therefore Thursday.

Given:

Elizabeth has $252.00 in her account on Sunday and a table is given of her deposits and purchases over the following week.

To Find:

The day Elizabeth first gets charged an overdraft fee.

Answer:

Thursday's expenditure of $57.40 exceeds her bank balance at the time of transaction, and therefore Thursday is the day Elizabeth would first get charged with an overdraft fee.

Step-by-step explanation:

Elizabeth would first get charged with an overdraft fee when her expenditure exceeds her bank balance, i.e., the amount that is debited is more than what is in her bank account at that particular time.

So we analyse her transactions one by one.

On Sunday, we are given that she has $252.

On Monday, $114.60 is debited. So the remaining balance would be

$252 - $114.60 = $137.4

But on the same day, $150 is also credited to her account. So her balance would then be

$137.4 + $150 = $287.4

Next, on Tuesday, $79.68 is debited so the balance she is left with would be

$287.4 - $79.68 = $207.72

On Wednesday, $161.39 is debited so the balance she is left with would be

$207.72 - $161.39 = $46.33

On Thursday, $57.40 is debited so the balance she is left with would be

$46.33 - $57.40 = -$11.07

Thus, we see that Thursday's expenditure of $57.40 exceeds her bank balance and therefore Elizabeth would be charged with an overdraft fee as her bank balance after the transaction would be -$11.07.

The temperature, t, in Burrtown starts at 32°F at midnight, when h = 0. For the next few hours, the temperature drops 2 degrees every hour.Which equation represents the temperature, t, at hour h?

Answers

Answer: We find the equation that represents the temperature (t) at hour (t) using the slope-intercept form and it is:

t = -2 h + 32


Solution:

The temperature, t, in Burrtown starts at 32°F at midnight, when h = 0. This represents the y-interception of the right line, when h=0 hours, t=32 °F:

Point=(h,t)→Point=(0,32)=(0,b)→b=32

For the next few hours, the temperature drops 2 degrees every hour. This represents the slope of the line (m): m=-2, negative because the temperature drops.

Slope-Intercept form:

y=mx+b; y=t, m=-2, x=h, b=32

Replacing the values:

t=-2h+32


Answer:

t=-2h+32

Step-by-step explanation:

A recipe makes 6 2/3 cups the serving size is 5/6 cup how many servings does the recipe make

Answers

ithe recipe makes precicely 8 servings,i hope this helps

The recipe can make serving 8 cups.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, given that,

A recipe makes 6 2/3 cups

                         =20/3 cups

And, the serving size is 5/6 cup

So, the recipe can make serving = 20/3÷ 5/6 cups

                                                      =20/3 × 6/5 cups

                                                      =8 cups

Hence, the recipe can make serving 8 cups.

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Simply (8xto4) (4x to 3) \ 7x to 2

Answers

32x^5/7 This is the answer for that equation.

For a normal distribution, the proportion in the tail beyond z = 0.30 is p = 0.1179.
a. True
b. False

Answers

they tricked me into signing into this site to get the answer, oonly to find out they didnt have it answered, click b8

Using the normal distribution, it is found that the statement is False, thus the correct option is b.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

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

It 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, which is the percentile of X.The area on the tail beyond z is the proportion that is above z, that is, 1 subtracted by the p-value of z.

For this problem, z = 0.3 has a p-value of 0.6554.

1 - 0.6554 = 0.3446

The proportion in the tail beyond z = 0.30 is p = 0.3446, thus, the statement is False.

A similar problem is given at https://brainly.com/question/12518252

5 less than a third of a number is at most 15

Answers

1/3x - 5 < = 15 ...this is ur inequality

***
5 less....- 5
1/3 of a number....1/3x
so 5 less then 1/3 of a number....1/3x - 5
is at most 15....means it can be 15 or less.....< = 

Can anyone help me Plot a parabola through the points? Cause i dont understand what to do

Answers

There are youtube videos on how to this operation. :)
Since the vertex is (0,0), and the parabola passes through -1 and +1, then it opens upward with a minimum of (0,0).

Join the Vetex to -1 and + 1 It will have the shape of U

He for got his pin code. 20% of his pin code was 246.8. What was his pin code?

Answers

So if 20% of his pin code was 246.8, then we want to know 5 times that since 20% * 5 = 100%.

So 246.8 * 5 = 1234

So his pin was 1234.

What is cos θ if sec θ = 2?

Answers

[tex]\bf cos(\theta)=\cfrac{1}{sec(\theta)}\qquad \qquad \boxed{sec(\theta )=2}\implies cos(\theta)=\cfrac{1}{\boxed{2}}[/tex]

Answer:

the value of cos θ is [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

Since, [tex] cos\theta=\frac{1}{sec\theta}[/tex]

we are given with sec θ = 2

To find the value of cos θ , we use this fact [tex] cos\theta=\frac{1}{sec\theta}[/tex]

put sec θ = 2 in [tex] cos\theta=\frac{1}{sec\theta}[/tex]

[tex] cos\theta=\frac{1}{2}[/tex]

Therefore, the value of cos θ is [tex]\frac{1}{2}[/tex].

Which expression shows the result of applying the distributive property to 3(2x−6) ?

A. 2x−18
B. 6x−18
C. 6x−6
D. 5x−3

Answers

Your answer would be B. You have to multiply the 3 and 2 which is 6 then put the x so 6x. then your multiply 3 and 6 and get 18 so it would be 6x-18.

Answer:

b

Step-by-step explanation:

factor the expression 10x−25y

Answers

5(2x-5y) is the answer to this expression

Final answer:

To factor the expression 10x-25y, we find the greatest common factor, which is 5, and write the expression as 5(2x - 5y).

Explanation:

To factor the expression 10x−25y, we need to find the greatest common factor (GCF) that both terms share. In this case, both terms are divisible by 5. When we factor out the GCF, we get:

Identify the GCF of 10x and 25y, which is 5.

Divide both terms by the GCF: 10x/5 = 2x and 25y/5 = 5y.

Write the factored expression: 5(2x - 5y).

Thus, the expression 10x−25y factored is 5(2x - 5y)

simplify and reduce. show the work. ^= an exponent of 2 and 0
(-2 3/4 + 1 2/3)^2 - (-7/9)^0

Answers

first off, let's convert the "mixed" fractions to "improper", and take it from there.  Keeping in mind that anything(except 0 itself) raised at 0, is 1.  Also recall that minus times minus is plus.

[tex]\bf \stackrel{mixed}{-2\frac{3}{4}}\implies -\cfrac{2\cdot 4+3}{4}\implies \stackrel{improper}{-\cfrac{11}{4}}\\\\\\ \stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}}\\\\ -------------------------------\\\\[/tex]

[tex]\bf \left( -2\frac{3}{4} \right)^2-\left( 1\frac{2}{3} \right)^0\implies \left(-\cfrac{11}{4} \right)^2-\left( \cfrac{5}{3} \right)^0\implies \left(-\cfrac{11}{4} \right)\left(-\cfrac{11}{4} \right)~-~1 \\\\\\ \left(\cfrac{11}{4} \right)\left(\cfrac{11}{4} \right)-1\implies \left(\cfrac{11}{4} \right)^2-1\implies \cfrac{11^2}{4^2}-1\implies \cfrac{121}{8}-1 \\\\\\ \cfrac{121-8}{8}\implies \cfrac{113}{8}\implies 14\frac{1}{8}[/tex]
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