Mathematics Middle School

Assignment: Compound Interest Investigation

Tyler has earned money by helping out on a neighbor's farm and now wants to put his earnings in a savings account. He is a bit confused on the different interest options available and how each will impact the amount he has after several years. Help Tyler better understand by showing him how his money will increase in an account that uses simple interest and one that uses compound interest over a specified period of time.

1. a. If Tyler deposits $1500 of the $3200 he has earned in an account that pays 4% interest compounded annually, how much will he have in his account after 5 years?

b. If Tyler deposits $1500 of the $3200 he has earned in an account that pays 4% simple interest, how much will he have after 5 years? Show all work.

c. Which account would yield a greater amount? What is the difference between the two amounts?

2. a. If Tyler deposits $2000 of the $3200 he has earned in an account that pays 8% interest compounded quarterly, how much will he have in his account after 1 year?

b. If Tyler deposits $2000 of the $3200 he has earned in an account that pays 8% simple interest, how much will he have after 1 year? Show all work.

c. Which account would yield a greater amount? What is the difference between the two amounts?


3. Tyler decides to deposit his earnings of $3200 in a savings account. Bank A offers an account with a simple interest rate of 3.5%. Bank B offers an interest rate of 3.4% compounded annually. After 3 years, in which bank will Tyler have the greatest total? Show all work.

a. Find the interest earned for Bank A.

b. Find the total amount for Bank B.

c. Which bank should Tyler choose if he wants to earn the greater amount? Explain your reasoning.

d. Which account would yield a greater amount? What is the difference between the two amounts?







Answers

Answer 1
To help Tyler better understand how his money will increase in an account that uses simple interest and one that uses compound interest, we are going to use two formulas: a simple interest formula for the accounts that use simple interest, and a compound interest formula for the accounts that use compound interest.
- Simple interest formula: [tex]A=P(1+rt)[/tex]
where:
[tex]A[/tex] is the final investment value 
[tex]P[/tex] is the initial investment 
[tex]r[/tex] is the interest rate in decimal form 
[tex]t[/tex] is number of years
- Compound interest formula: [tex]A=P(1+ \frac{r}{n} )^{nt} [/tex]
where: 
[tex]A[/tex] is the final investment value 
[tex]P[/tex] is the initial investment 
[tex]r[/tex] is the interest rate in decimal form
[tex]t[/tex] is he number of years 
[tex]n[/tex] is the number of times the interest is compounded per year

1. 
a. This is a compound interest account, so we are going to use our compound interest formula. We now that [tex]P=1500[/tex], [tex]t=5[/tex], and since the interest is compounded annually (1 time a year), [tex]n=1[/tex]. To find the interest rate in decimal form, we are going to divide it by 100%: [tex]r= \frac{4}{100} =0.04[/tex]. Now that we have all the values lets replace them in our compound interest formula:
[tex]A=1500(1+ \frac{0.04}{1}) ^{(1)(5)} [/tex]
[tex]A=1824.98[/tex]
We can conclude that after 5 years he will have $1824.98 in this account.
b. Here we will use our simple interest formula. We know that [tex]P=1500[/tex], [tex]t=5[/tex], and [tex]r= \frac{4}{100} =0.04[/tex]. Lets replace those values in our simple interest formula:
[tex]A=1500(1+(0.04)(5))[/tex]
[tex]A=1800[/tex]
We can conclude that after 5 years he will have $1800 in this account.
c. The compound interest account from point a will yield more money than the simple account one from point b. The difference between the tow amounts is [tex]1824.98-1800=24.98[/tex]

2.
a. Here we are going to use our compound interest formula. We know that [tex]P=2000[/tex], [tex]t=1[/tex] and [tex]r= \frac{8}{100} =0.08[/tex]. We also know that the interest is compounded Quaternary (4 times per year), so [tex]n=4[/tex]. Now that we have all our values lets replace them into our formula:
[tex]A=2000(1+ \frac{0.08}{4} )^{(4)(1)} [/tex]
[tex]A=2164.86[/tex]
We can conclude that after 1 year he will have $2164.86 in this account.
b. Here we are going to use our simple interest formula. We know that [tex]P=2000[/tex], [tex]t=1[/tex], and [tex]r= \frac{8}{100} =0.08[/tex]. Once again, lets replace those values in our formula:
[tex]A=2000(1+(0.08)(1))[/tex]
[tex]A=2160[/tex]
We can conclude that after 1 year he will have $2160 in this account.
c. The compound interest account from point a will yield more money than the simple account one from point b. The difference between the tow amounts is [tex]2164.86-2160=4.86[/tex]

3.
a. Since Bank A offers an account with a simple interest, we are going to use our simple interest formula. From the question we know that [tex]P=3200[/tex], [tex]t=3[/tex], and [tex]r= \frac{3.5}{100} =0.035[/tex]. Now we can replace those values into our formula to get:
[tex]A=3200(1+(0.035)(3))[/tex]
[tex]A=3536[/tex]
Now, to find the interest earned for Bank A we are going to subtract [tex]P[/tex] from [tex]A[/tex]
[tex]InterestEarned=3536-3200=336[/tex]
We can conclude that the interest earned for Bank A is $336
b. Since Bank B offers an account with a compound interest, we are going to use our compound interest formula. We know that [tex]P=3200[/tex], [tex]t=3[/tex], [tex]r= \frac{3.4}{100} =0.034[/tex], and since the interest is compounded annually (1 time a year), [tex]n=1[/tex]. Now that we have all the values, lets replace them in our formula to get:
[tex]A=3200(1+ \frac{0.034}{1} )^{(1)(3)} [/tex]
[tex]A=3537.62[/tex]
Now, to find the interest earned for Bank A we are going to subtract [tex]P[/tex] from [tex]A[/tex]:
[tex]InterestEarned=3537.62-3200=337.62[/tex]
We can conclude that the interest earned for Bank B is $337.62
c. Even tough the interest returns between the tow Banks are very similar, Bank B offers a slightly better interest over a period of time, which can make a big difference in the long run. If Tyler wants the earn more money, he definitively should deposit his money in Bank B.
d. The compound interest account from Bank B will yield more money than the simple account one from Bank A The difference between the tow amounts is [tex]3537.62-3536=1.62[/tex]

Related Questions

You deposit $350 in a savings account. The account earns 2.5% simple interest per year. What is the balance after 2 years?

Answers

Answer:

Balance = $367.5

Step-by-step explanation:

The 2.5% of $350 is,

→ (350/100) × 2.5

→ 3.5 × 2.5

→ $8.75

The balance after 2 years is,

→ $350 + (2.5%) × 2 years

→ 350 + 8.75 × 2

→ 350 + 17.5

→ $367.5

Hence, the answer is $367.5.

The balance after 2 years on principle amount of $350 at the rate of 2.5% will be $525.

What is Simple interest?

The simple interest method, which adds interest to the starting principal amount at the same rate every day, is a quick and easy technique to calculate the interest on that money.

Simple interest is a way to calculate the amount of interest that will be charged on a certain amount of money at a certain rate and for a certain period of time.

As per the information in the question,

Principle amount, p = $350

Rate, r = 2.5%

Time, t = 2 years.

Use the formula of simple interest,

[tex]S.I = (p*r*t)/100[/tex]

S.I = (350 × 2.5 × 2)/100

S.I = 17500/100

S.I = 175

Now, the total amount will be,

$350 + 175 = $525

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What is the volume of the pyramid to the nearest whole unit?

A. 1,134 yd^3
B. 567 yd^3
C. 378 yd^3
D. 284 yd^3

Answers

Volume = 1/3 * height * area of the base

            = 1/3 * 9 * (9*14)  =  378 yd^3  Answer

The vertices of triangle ABC are A(−6,−3) and B(2,−3). Which coordinates of the third vertex allow the triangle to have an area of 24 square units?

Answers

Final answer:

The third vertex C of triangle ABC with vertices A(-6,-3) and B(2,-3) and area 24 square units can have coordinates (0,3) or (0,-9).

Explanation:

Given the vertices of triangle ABC are A(−6,−3) and B(2,−3). The coordinates of point C will form the third vertex of the triangle. The distance from A to B is the base of the triangle and can be calculated as follows: AB = sqrt[(2 -(-6))^2 + ((-3) - (-3))^2] = 8 units. The area of a triangle is calculated by the formula: 1/2*base*height=area. Given that the area of the triangle ABC is 24 square units, we can set up the following equation: 1/2*8*height=24. Solve for height to get the y-coordinate of point C as 6 units above the line AB (which lies on y = -3), for C(0,3) or 6 units below line AB for C(0,-9). Therefore, the third vertex C can be at coordinates (0,3) or (0,-9) for the triangle to have an area of 24 square units.

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how to solve this ? the question asked, the distance between two houses P&Q is 200 kilometer. Joe travel by car from P to Q at average speed of x km/h

a) write down an expression in terms of X for the number of hours he took to travel from P to Q.

b) he returned from Q to P at an average of (x + 5) km/h. write down an expression in terms of X for the number of hours he took to travel from Q to P

c) the total time he took to go from P to Q & to return from P to Q was 8 hours

Answers

◆ Distance and Time ◆

Hey !!

Check the attachment.
Hope it helps you :)

the elevation of Denver Colorado is 13 times greater than that of waikapu. hawaii.the sum of their elevations is 5600 ft. find the elevation of each city

Answers

Answer:

400ft

Step-by-step explanation:

The elevation of Waikapu, Hawaii is 400 feet, and the elevation of Denver, Colorado is 5200 feet, derived from a simple algebraic equation based on their given relationship and sum of elevations.

We are given that the elevation of Denver, Colorado is 13 times greater than that of Waikapu, Hawaii, and the sum of their elevations is 5600 ft. To find the elevation of each city, we can set up a system of equations.

Let x represent the elevation of Waikapu, then the elevation of Denver is 13x. According to the problem, we can set up the equation as follows:

x + 13x = 5600

Combining like terms gives us:

14x = 5600

Dividing both sides by 14 to isolate x gives us:

x = 5600 / 14

x = 400

Now that we have the elevation of Waikapu, we can find Denver's elevation by multiplying 400 by 13:

Denver's elevation = 13 x 400 = 5200 ft

Therefore, the elevation of Waikapu, Hawaii is 400 feet, and the elevation of Denver, Colorado is 5200 feet.

25 POINTS TO WHO EVER ANSWERS!!!

1. An ice cream store owner randomly samples 50 customers each day on three separate days to give their opinion about which flavors should be flavor of the month.

Vanilla | Chocolate | Rocky Road | Cheesecake

Day 1: 13 | 12 | 11 | 14

Day 2: 12 | 15 | 11 | 14

Day 3: 15 | 7 | 8 | 20

Select from drop-down menu to complete the statement using the information in the "table".

Based on the results of the survey, if the ice cream store owner asks 2300 people, ____ will most likely pick vanilla to be flavor of the month.

2. The line plots show the results of a survey of 10 boys and 10 girls about how many hours they slept the previous night.



x
x
x x
x x x x x x
<-+-+-+-+-+-+-+-+-+-+->
1 2 3 4 5 6 7 8 9 10

x x
x x x
x x x x x
<-+-+-+-+-+-+-+-+-+-+->
1 2 3 4 5 6 7 8 9 10


Select from the drop-down menus to complete each statement.

The range ________. The mean __________.

1. answers: 40, 150, 460, or, 613

2 A. answers: is greater for boys, is greater for girls or, us the same for both sets of data

2 B. answers: is the same for both sets of data, is greater for the boys or, is greater for the girls

Answers

1 I think is 150 and 2 is equal I think

Need help with number 9 please, thanks.

Answers

Its point P because the lines between 1 and 2 are 1/4 2/4 and 3/4 and its looking for 1 1/4 so the correct is the line after number 1 on the x axis and the y axis is 2 which you can see p is located it

e vertices of a trapezoid are shown below. P(0, 0), Q(2, 0), R(2, 5), S(0, 10) This trapezoid is dilated about the origin by a scale factor of 3. What is the location of point Q'?

Answers

The location of point Q' after the dilation is (6, 0).

What is dilation?

Resizing an item uses a transformation called dilation. Dilation is used to enlarge or shorten the structures. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. The initial form should be stretched or contracted during a dilatation.

To dilate the trapezoid by a scale factor of 3 about the origin, we need to multiply the coordinates of each vertex by 3.

The coordinates of Q are (2, 0), so to find the coordinates of Q' after the dilation, we multiply both the x and y coordinates by 3:

Q' = (32, 30) = (6, 0)

Therefore, the location of point Q' after the dilation is (6, 0).

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A student used the equation below to create a table.

y = –3x – 5

The student used –2 as one of the values for the input. Which ordered pair could be taken from the table?

A. (–11, –2)
B. (–2, –11)
C. (–2, 1)
D. (1, –2)

Answers

C. (-2,1)

Hope this helps<3
I think the answer is C.

What is the next expression in the following pattern: 4n; 8n; 16n???

Answers

The next expression in the pattern is 32n

15 POINTS!! HELP ME PLZ!!!
In conducting a survey of voters, a pollster selected every tenth name on a list of registered voters.
Which sampling technique did the pollster use?

a) convenience sampling
b) stratified sampling
c) systematic sampling
d) voluntary sampling

Answers

The answer is C: systematic sampling

Answer:

The awnser is C

Step-by-step explanation:

A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner. How far did the player run? Round your answer to the nearest meter.

Answers

The distance covered by a player on a rectangular football field will be 118.73 meters.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

A rectangular football field is 64 meters wide and 100 meters long. A player runs from one corner of the field in a diagonal line to the opposite corner.

Then the distance covered by a player on a rectangular football field will be given by the Pythagoras theorem.

H² = 100² + 64²

H² = 10000 + 4096

H² = 14096

H = 118.73 meters

The distance covered by a player on a rectangular football field will be 118.73 meters.

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1. A parallelogram with four congruent sides is a? 2. A polygon with all angles congruent is a? 3. Angles of a polygon that share a side are? 4. A blank is a quadrilateral with exactly one pair of parallel sides?

Answers

number one is a square number two is quadrillateral

What symbol should be placed in the blank to make the equation true? 3 + 10___ 2 - 4 = 4

Answers

A division symbol (/) because, following PEMDAS, 10/2 is 5 -> 5+3=8 -> 8-4=4

One lap around the track is 1/4 mile. Abby ran around the track 13 times.How far did she run?

Answers

Multiply the length of the lap by the number of times she ran the lap.

=13 * 1/4
multiply 13 by the numerator
=(13*1)/4
=13/4
convert to mixed number
=3 1/4 miles

ANSWER: The track is 3 1/4 miles.

Hope this helps! :)

macy is trying to construct an isosceles triangle. She assigns and angle measurement of 40 degrees to the unique angle of the triangle. She wants the length fo the opposite side (the base) to be 6 centimeters. How many isosceles triangles can macy construct using this information? A. 3 cm B. 10 centimeters, C. 12 Centimeters D. 14 centimeters, E. 18 centimeters

Answers

Given that Macy wants to construct an isosceles triangle, with the unique angle being 40° it implies that for the triangle to be isosceles, the base angles should be the same. The size of the base angles will be:
(180-40)/2=70
given that that the base is 6 cm, Macy can only form 1 triangle with these dimensions.
The length of the other sides will be found using sine rule
a/sin A=b/sin B
a=6 cm
A=40°
b=?
B=70
hence:
6/sin 40=b/sin 70
b=(6sin 70)/sin40
b=8.77 cm

Answer:

the awnser is 2

Step-by-step explanation:

if she makes more that 2 the 3rd one wont be an isosoceles triangle

What is 14.281 rounded to the nearest one?

Answers

To the nearest one, 14.

When a class took a math test, 15% of the class failed, 25% made some mistakes (but didn’t fail), and 24 students got perfect scores. How many students were in the class?

Answers

15%+25%=40%, meaning that 40% of the class didn’t get a perfect score and 60% did. If 24 students got a perfect score and 24 students is equal to 60% of the class, you can solve by setting up a proportion. 
24 students X students——————- = —————-60% of class 100% of class
Next, cross multiply to get 2400 = 60X. Divide both sides by 60 and you’ll get 40. There are 40 students in the class. 
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We can see that 24 people are forming 60% of the class, so the total class is 40

Round 0.68 to the nearest tenth

Answers

The answer is 0.7 by rounding to the nearest tenth

Answer:

0.7

Step-by-step explanation:

Josie selected a number n. She divided n by 2 and then subtracted 0.5 from the result. She took half of that result and then subtracted 0.5 to get the final result of 10. What is the value of n?

Answers

Your answer is N= Forty three

the answer is 43

to get this just do the problem backwards from 10 witch you would add .5 to get 10.5 and then multiply by 2 to get 21 then add .5 again to get 21.5 then you multiply it again by 2 to get the answer of 43

hope this helps GL

combine the like terms 10 y + 1 x - 4y + 4x

Answers

10y + 1x - 4y + 4x = (1+4)x + (10-4)y = 5x + 6y
.....................................................................................................
To combine like terms means that we must perform the indicated operations in order to simplify an expression or solve an equation.

We begin with the expression:
10y+1x-4y+4x
First, we are going to combine the x terms. To do this, we use simple addition, similarly to if the variable x wasn’t there. We get:
10y-4y+5x
Next we are going to do the same thing with the y terms.
6y-5x
Because there are no more like terms left to combine, this is the most simplified answer that you can achieve for this question.

Hope this helps!

A satellite is 18 meters wide. A model of it was built with a scale of 1 centimeter: 3 meters. How wide is the model?

Answers

i believe the answer is 6 cm.

Answer: 6 centimeters

Step-by-step explanation: I took the test and got this answer correct :)

Ieda and Thanh both offer piano lessons. Ieda charges an initial fee of $8.50 and an hourly rate of $11.00. Thanh charges an initial fee of $10.00 and an hour rate of $10.50. At how many hours of instruction will the price for each instructor be the same?

Answers

8.5 + 11 X = 10 + 10.5 X
0.5x=1.5
x=3
after 3 hrs the price will be the same

a $4,000.00 principal earns 5% interest, compounded annually. After 4 years, what is the balance in the account?

Answers

interest rate is 5% annually. After 4 years relative value of interest will be 1.05^4
Now we multiply that with starting funds and get
4000* 1.05^4 = 4862.03
Final answer:

To calculate the balance in the account after 4 years, use the compound interest formula.

Explanation:

To calculate the balance in the account after 4 years, we can use the compound interest formula:

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

Where:
A is the balance after the specified time period
P is the principal amount (initial deposit)
r is the interest rate (as a decimal)
n is the number of times the interest is compounded per year
t is the number of years

In this case, the principal is $4,000, the interest rate is 5% (written as 0.05), the interest is compounded annually (n = 1), and the time period is 4 years (t = 4). Plugging in these values, we get:

A = $4,000(1 + 0.05/1)^(1*4)

A = $4,000(1.05)^4

A = $4,000(1.2155)

A ≈ $4,862.20

The balance in the account after 4 years is approximately $4,862.20.

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What is the equivalent factored form of 12x^4-42x^3-90x^2

Answers

Factor the following:
12 x^4 - 42 x^3 - 90 x^2

Factor 6 x^2 out of 12 x^4 - 42 x^3 - 90 x^2:
6 x^2 (2 x^2 - 7 x - 15)

Factor the quadratic 2 x^2 - 7 x - 15. The coefficient of x^2 is 2 and the constant term is -15. The product of 2 and -15 is -30. The factors of -30 which sum to -7 are 3 and -10. So 2 x^2 - 7 x - 15 = 2 x^2 - 10 x + 3 x - 15 = x (2 x + 3) - 5 (2 x + 3):
6 x^2 x (2 x + 3) - 5 (2 x + 3)

Factor 2 x + 3 from x (2 x + 3) - 5 (2 x + 3):
Answer:  6 x^2 (2 x + 3) (x - 5)
12x^4 - 42x^3 - 90x^2 =
6x^2(2x^2 - 7x - 15) =
6x^2(2x+3)(x - 5) <==

hope this helped :)
alisa202

instruction: You must show all of your work bysl setting up the problem using combinatorics and simplifying completely.

question: There are 5 red marbles and 9 blue marbles in a bag. suppose two of the marbles are cracked. how many ways can four marbles be selected so that either no cracked marbles are selected or just one cracked marble is selected?

Answers

There are 14 marbles in the bag, and we either want to get 0 or 1 cracked one (out of 2 cracked marbles) in 4 draws. Since there are 12 uncracked marbles and 2 cracked ones:
To get 0 cracked marbles, there are 12C4 ways (to draw 4 marbles out of the 12 uncracked ones only). 12C4 = 495 ways
To get 1 cracked marble, we need 3 to be from the 12 uncracked ones, and 1 from the 2 cracked ones. This means there are 12C3 x 2C1 = 440 ways
So the total number of ways is 495 + 440 = 935 ways.

how do you write this in numerical expression and in a answer statement

Answers

To write this as a numerical expression, you will think of the different parts of the math story that are occurring and put them together in one math statement.  You have 12 books being ordered that are $9 each AND are paying a $15 shipping charge.  This can be written as 12 x $9 + $15.  There are 2 terms here - these are the 2 parts!  Multiply 12 times 9 first to get $108, then you can add the $15 shipping fee.  You can only add units that are the same, so you must multiply first. Your answer statement is a sentence that gives your final answer in a complete sentence.  For example, the total cost of Lannie's order is $123.

What is the slope of the graph shown below?

Answers

Answer:  The correct option is (A) 4.

Step-by-step explanation:  We are given to find the slope of the graph shown in the figure.

We can see that the graph is a straight line.

Also, the line passes through the points [tex](0,-3)[/tex] and [tex]\left(\dfrac{3}{4},0\right).[/tex]

We know the slope of a straight line passing through the points (a, b) and (c, d) is given by

[tex]m=\dfrac{d-b}{c-a}.[/tex]

Therefore, the slope of the given line is

[tex]m=\dfrac{0-(-3)}{\frac{3}{4}-0}\\\\\\\Rightarrow m=\dfrac{3}{\frac{3}{4}}\\\\\\\Rightarrow m=3\times\dfrac{4}{3}\\\\\\\Rightarrow m=4.[/tex]

Thus, the required slope of the graph is 4.

Option (A) is correct.

A rectangular prism has a length of 3 1/2 inches, a width of 5 inches, and a height of 1 1/2 inches.



What is the volume of the prism?



Enter your answer in the box as a simplified mixed number or a decimal.

Answers

Hello!
----------
The volume of the prism is 26.25 inches
----------
WORK: 3.5*3.5*1.5=26.25
----------
Have a great day!

Answer:

26.25

Step-by-step explanation:

I took the test.

Of the 304 people who attended the school play,5/8 were students.How many of the people who attended were students?

Answers

190 people who attended were students.
Other Questions
25 x n x n x n x n = Help me plz Qu frase es cierta sobre la selva de Costa Rica? Hay muchos canales de agua donde se puede ver manates.La nica agua en la selva es la lluvia. I need this ASAP Why did people first begin flocking to cape town in the 1890sGold was discovered Equal rights were available Cape Town was neatral territory Well know vk spot Definition: he was the leader of japan before, during, and after world war ii. 3.What material does the nucleus contain? What is the purpose of this material? The nucleus contains "the cell's genetic material, DNA." DNA makes protein molecules to help with almost every cellular process. 4.Using evidence from the text, describe the purpose of the cell membrane. 5.How do the two types of endoplasmic reticulum differ? 6.Using evidence from the text, describe the purpose of the Golgi complex. 7.Based on this excerpt, summarize the job of mitochondria. Excerpt: "About the size of pickup trucks from where you're floating, the organelles called mitochondria convert energy from your food into adenosine triphosphate, or ATP, to power biochemical reactions. A typical cell burns through 1 billion molecules of ATP every 1 to 2 minutes." Define 1st, 2nd, 3rd, line of defense. Suppose a small airplane has a wingspan of 15 feet. Find the wingspan of a model of the airplane, in inches, if the scale factor is 1 60 . A bond is a ________ instrument by which a borrower of funds agrees to pay back the funds with interest on specific dates in the future. A client with intermittent claudication has been instructed to stop smoking and doesn't understand why this is necessary. which is the nurse's best response The equilibrium constant k for the synthesis of ammonia is 6.8x105 at 298 k. what will k be for the reaction at 375 k? which sentence from the passage best supports that the vultures among the clouds symbolize what happens to Nina? Find the orbital period (in years) of an asteroid whose average distance from the sun is 10 au. Proteins called transcription factors are involved in ____ of transcription An experiment is designed to test what color of light will activate a photoelectric cell the best. The photocell is set in a circuit that "clicks" in response to current. The faster the current, the more clicks per minute. In this experiment, the number of clicks in one minute is recorded for each color of light shining on the photocell. To change the color of light, a different color of cellophane is placed over the same flashlight and the flashlight is then located a specific distance from the photocell.In the above experiment, which factor is the independent variable?A)the number of clicksB)the color of the lightC)the original source of the lightD)the photocell Learning includes changes in behavior as a result of The length of a rectangle is 3 m less than double the width, and the area of the rectangle is 65 m2 . find the dimensions of the rectangle. A series of essays written by Hamilton Madison and J in support of the constitution were called what Me gust que el gobierno _______ empezado a limpiar el agua del rio. haber hubiera hubiramos hubieras The term biology comes from the Greek wordbios, meaning _____, and the noun ending -logia, meaning? Explain the significance of the following terms:a. rebellion b. propaganda c. committee of correspondence