Marcus has $7000 to invest in a savings account for 3 years. The bank offers two investment options. Option A pays 5 % simple interest per year and Option B pays 4% compound interest per year. (a) How much interest would Marcus earn after 3 years with Option A?

Answers

Answer 1

Answer:

$ 630

Step-by-step explanation:

One is given the following information:

$7000 was invested in a savings accountOption A: 3% simple interest annuallyOption B: 4% interest compounded annually

The problem asks one to find out the amount of interest earned after 3 years of going with option A. The easiest way to do such is to form an equation. The general equation for simple interest is the following:

A * 0.01P(d) = I

Where the parameters indicate the following values,

A = amount invested

P = interest rate

d = time invested (years)

I = amount earned in the form of interest

Substitute the given values into the formula, then simplify to evaluate,

A * 0.01P(d) = I

7000 * 0.01(3)(3) = I

7000 * 0.01(9) = I

7000 * 0.09 = I

630 = I


Related Questions

Which expression is equivalent to 4 + 36x?

Answers

Answer:

A

Step-by-step explanation:

4(1)+4(9x)=4+36x

Please help me determine this guys

Answers

this graph is a correct representation of the given quality! What I did was plug it into this online graphing calculator called desmos, you can use that!!

Given m
11
n, find the value of x and y.
41°
וז.
20
n

So I keep getting the wrong answer could someone help me pls

Answers

Answer:

x = 41°, y = 139°

Step-by-step explanation:

The given parameters are;

Line m is parallel to line n and lines m and n have a common transversal

The corresponding angles formed by the common transversal to the two parallel lines are 41° on line m and on line n

Therefore, x° = 41° by corresponding angles formed between on two parallel lines by a common transversal are equal

x° and y° are linear pair angles and they are, supplementary

∴ x° + y° = 180°

∴ x° + y° = 41° + y° = 180°

y° = 180° - 41° = 139°

y° = 139°.

Question 3 of 10
Select the action you would use to solve 3x = 12. Then select the property
that justifies that action
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Divide both sides by 3
D. Property. Addition property of equality
E. Property: Multiplication property of equality
DF Property Division property of equality

Answers

Answer:

C. Divide both sides by 3

Step-by-step explanation:

3x=12

3x/3=12/3

x=4

Instructions: Solve the triangle, find mA and mZC.

Answers

Step-by-step explanation:

mA=cosA=17/38

A=cos inverse of 17/38

A=63 degrees

A, B and C are points on a circle.
EF is a tangent to the circle at C.
D is a point on AC.
Angle CBD:Angle ABD = 3:1.
Find angle ADB.
Give a geometrical reason for each step of your working.

Answers

Answer:

44/3 degrees

Step-by-step explanation:

Angle CBD = 180 - (64 + 72) = 44

Angle ADB = 44/3 (Since of the ratio)

Please help me solve this problem guys

Answers

Answer:

17%

Step-by-step explanation:

Again, as the amount of years increase, the population of bees gets multiplied by 0.83. We can rewrite this to 83%, and then again rewrite this to 100%-17%. We can see now that the population of bees decreases by 17% each year.

EXPLAIN:
Answer the following questions using 125 words or more:

Write about the similarity of the original comic to the enlargement. How similar are they and how can you tell? What would cause differences in the two pictures? If you drew another comic using a grid, is there anything you would do differently?
What would happen if you reduced the comic's size rather than enlarged it? Would the process be the same? What would you do differently?

Answers

Answer:

Step-by-step explanation:

The enlargement of a comic will be very similar to the original. Everything is larger but in the same proportion. The difference is if the original is enlarged so much that the individual pixel in the original comic becomes visible; causing the enlargement to be "pixelated."

If a comic is drawn using a grid, that may reduce pixelation because you can line up things with the grid.

If the comic's size is reduced, then again it will look similar but everything is smaller and in the same proportion. There will not be any pixelation effect.

căn bậc 2 của 5 là bao nhiêu

Answers

Answer:5

Step-by-step explanat[tex]\sqrt{5} = 5[/tex]

[tex]\sqrt{5}[/tex]  = 2.23

someone please help!!

Answers

Answer:

f(-8) = 64

Step-by-step explanation:

Since x =-8, we need to use x^2 since -8 <0

(-8)^2 = 64

When x = -8 f(-8) = 64

Answer:

B

Step-by-step explanation:

There are 2 functions, one if x > 0 and one if x < 0

The x we are given is -8, and -8 is less than 0

Plug -8 into the function for if x < 0, which is x^2

(-8)^2=64

Step by step solution please

Answers

Answer:

I solved the question step by step in the pic, and I hope it helps

Complete the steps to solve the equation. 9 – 4x = 2x 1. Addition property of equality: 9 = 6x 2. Division property of equality: = x

Answers

Answer:

x = 3/2

Step-by-step explanation:

Given:

9 - 4x = 2x

Step 1: Addition property of equality

9 - 4x + 4x = 2x + 4x

9 = 6x

Step 2: Division property of equality:

9 = 6x

9/6 = 6x/6

9/6 = x

x = 9/6

= 3/2

x = 3/2

Check:

9 - 4x = 2x

9 - 4(3/2) = 2(3/2)

9 - 12/2 = 6/2

9 - 6 = 3

3 = 3

What is the area of the figure below if all angles are right angles?
F: 2 square yards
G: 4 square yards
H: 5 square yards
J: 7 square yards
K: none of these ​

Answers

I think it’s 2 yards

The required area of the figure is 5 square yards.

What is area of rectangle?

Area of rectangle is defined as product of the length and width.

Suppose a rectangle and a square has been removed from rectangle.

Length of rectangle = 3  yards

Width of rectangle 2 yards

Length of square = 1 yards

Area of rectangle = 3 × 2 = 6 square yards

Area of square = 1 × 1 = 1 square yards

The required area of the figure = area of rectangle - area of square

Substitute the values

The required area of the figure = 6 - 1

The required area of the figure = 5 square yards

Hence, the required area of the figure is 5 square yards.

Learn more about Area of rectangle here:

brainly.com/question/20693059

#SPJ2

SCREAMING HELP ALERT !!

Answers

Answer: 1/3

Step-by-step explanation:

On side of the smaller quadrilateral is 8, the same side on the larger one is 24. 8 times 3 is 24. So the scale factor from the smaller to the larger is 1/3.

Answer:

1/3

Step-by-step explanation:

similar means all sides are proportinal, in this case one side is 3x bigger in the 2nd figure, so the same must be true of the other fig.

please help! look at picture!

Answers

Answer:

[tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]

Step-by-step explanation:

2 [tex]\frac{7}{8}[/tex] = [tex]\frac{23}{8}[/tex]

1[tex]\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex] = [tex]\frac{14}{8}[/tex]

[tex]\frac{23}{8}[/tex] -[tex]\frac{14}{8}[/tex] = [tex]\frac{9}{8} = 1 \frac{1}{8}[/tex]

Hey there! For this you will need to use the rule of subtracting fractions. 4 (the denominator) x 2 (to make it them equal) is 8. 3 x 2 is 6. The new fraction is 1 and 6/8. Now, subtract these to get your final answer, 1 and 1/8.

Hope this helps!

Find the measure of one interior angle for the following regular polygon

Answers

Answer:

108 degrees

Step-by-step explanation:

The formula for the total sum of the angles in any REGULAR shape is

[tex](n-2) * 180[/tex],  where n represents the number of sides.

The shape in the picture shown is a pentagon (5 sides).

[tex](5-2) * 180\\[/tex]

[tex]3 * 180[/tex]

= [tex]540[/tex]

So the angle sum is 540 degrees.

Again, we are told that it is a regular polygon, meaning all sides and angles in the shape are equal.

So to find one angle, just divide it by the number of sides.

[tex]540/5 = 108[/tex]

Answer: 108 degrees

Step-by-step explanation:

Please find the missing number for the surface area. I will mark brainiest if correct. 2.

Answers

It is 18 because it is a square so all the sides have to be the same so that would make it 18

Please help me with the explanation

Answers

9514 1404 393

Answer:

  C

Step-by-step explanation:

The ratio of highest-degree terms gives the horizontal asymptote:

  (-2x)/(x) = -2

The horizontal asymptote of this function is y = -2. The only graph that shows that is graph C.

Which of the following figures could have both line symmetry and rotational symmetry?
Select all that apply.

square
equilateral triangle
rectangle
isosceles triangle
trapezoid
regular octagon

Answers

Answer:

trapezoid is the right answer

Answer:
Based on what I got correct; the correct answer should be:

equilateral triangle

regular octagon

rectangle

and square.

Hope this helps :)

Surface area of triangular prism

Answers

Answer:

264 Km²

Step-by-step explanation:

cross sectional perimeter of the triangular prism= 9+8+7= 24Km

now,

total surface area= C.S.P × height of the figure

= 24 × 11

= 264 km²

A program was created to randomly choose customers at a sporting goods store to receive a discount. The program claims 25% of the receipts will get a discount in the long run. The manager of the sporting goods store is skeptical and believes the program's calculations are incorrect. She selects a random sample and finds that 22% received the discount. The confidence interval is 0.22 ± 0.04 with all conditions for inference met.

Part A: Using the given confidence interval, is it statistically evident that the program is not working? Explain. (3 points)

Part B: Is it statistically evident from the confidence interval that the program creates the discount with a 0.25 probability? Explain. (2 points)

Part C: Another random sample of receipts is taken. This sample is four times the size of the original. Twenty-two percent of the receipts in the second sample received the discount. What is the value of margin of error based on the second sample with the same confidence level as the original interval? (2 points)

Part D: Using the margin of error from the second sample in part C, is the program working as planned? Explain. (3 points)

Answers

Answer

3.0/5

33

nickhollandmck

Ambitious

26 answers

1.7K people helped

Answer:

A: We know that the confidence interval is 0.22 ± 0.04, this equals .22 plus .04, .22 minus .44, or (.18,.26). Because of the fact that .25 is in the range of (.18,.26), there is no statistical evidence that the program is not working as intended.

B: As we established earlier, .25 is within the range of (.18,.26). This means that there is statistical evidence that the program makes the discount with a .25 probability.

C: To solve this problem, we need to use the margin of error formula. The margin of error formula is z times the square rout of p-hat times 1 minus p hat over n. From this formula we see that the me is inversely proportional to the square rout of the sample size. Because this is the case, the new me value is determined by dividing the old me value by 2 because of the fact that the proportion of p is 22%. This means that the new me is equal to .04/2, which equals .02, which means that the new margin of error is .02.

D: We know using the new me that the new CI is .22 ± .02. This also equals .22 plus .02, .22 minus .02, or (.2,.24) Because .25 is not within the range of (.2,.24), there is not statistical evidence that the program is working as intended.  

Step-by-step explanation:

Your welcome

TyrantMC

Answer:

Answer

3.0/5

33

nickhollandmck

Ambitious

26 answers

1.7K people helped

Answer:

A: We know that the confidence interval is 0.22 ± 0.04, this equals .22 plus .04, .22 minus .44, or (.18,.26). Because of the fact that .25 is in the range of (.18,.26), there is no statistical evidence that the program is not working as intended.

B: As we established earlier, .25 is within the range of (.18,.26). This means that there is statistical evidence that the program makes the discount with a .25 probability.

C: To solve this problem, we need to use the margin of error formula. The margin of error formula is z times the square rout of p-hat times 1 minus p hat over n. From this formula we see that the me is inversely proportional to the square rout of the sample size. Because this is the case, the new me value is determined by dividing the old me value by 2 because of the fact that the proportion of p is 22%. This means that the new me is equal to .04/2, which equals .02, which means that the new margin of error is .02.

D: We know using the new me that the new CI is .22 ± .02. This also equals .22 plus .02, .22 minus .02, or (.2,.24) Because .25 is not within the range of (.2,.24), there is not statistical evidence that the program is working as intended.  

help please help asap :)

Answers

Answer:

4x^3

Step-by-step explanation:

20 x^5 + 28 x^4 + 12x^3

4*5*x^5  + 4*7*x^4 + 4*3*x^3

Factor out 4x^3

4x^3 ( 5x^2 + 7x +3)

What are the coordinates of P?
(b,0
a,0
0,a
0,b

Answers

Answer:

a,0

Step-by-step explanation:

Look at point (a,b). Point (a,b) has the same x-coordinate as P. And then the y coordinate is 0 because it just sits on the x axis and doesn't go up any. Therefore the answer is P: (a,0).

please help with number 9!!!

Answers

Answer:

2 + sqrt(3)

Step-by-step explanation:

Roots that contain square roots come in pairs

If there is a root that is a- sqrt(b), there is a root that is a+ sqrt(b)

2 -sqrt(3) means there is a root 2 + sqrt(3)

\He wants to buy at least 5 goats. Write down an inequality in x to represent this

Answers

Answer:

x≥5

Step-by-step explanation:

If x is the quantity of goats he wants x≥5

simplify by combining like terms : 5a+2b-3a+4
1. 8ab
2. 4ab+4
3.2a+2b+4
4. 8a + 2b+4

Answers

5a+2b-3a+4

= (5a-3a)+2b+4

= 2a + 2b + 4

Answered by Gauthmath must click thanks and mark brainliest

A construction worker uses a tape measure to find that a pipe is
28
100
of a meter long. Select the decimal that represents the same length.

Answers

Answer:

c 0.28 m

Step-by-step explanation:

A construction worker uses a tape measure to find that a pipe is 28/100 of a meter long. Select the decimal that represents the same length.

a 1.28 m

b 2.8 m

c 0.28 m

d 0.028 m

Given:

Length of the pipe in fraction = 28/100

What is the equivalent length in decimal?

28/100

How many hundred can you get in 28

= 0. Remainder 28

Add 0 to 28 which makes it 280

How many hundred can you get in 280

= 2 remainder 80

Add 0 to 80 which makes it 800

How many hundred can you get in 800

= 8 remainder 0

Bring all the quotient together

Therefore,

28/100 m = 0.28 m

In an experiment on the effects of caffeine on the alertness of college students, student volunteers are randomly assigned to two groups. One group is given caffeinated coffee while the other group is given decaffeinated coffee. All participants then play a video game to assess their mental acuity, measured as their final score on the video game. In this study, the group that is given caffeinated coffee is called the:

Answers

Answer:

Experimental group

Step-by-step explanation:

During the process of a research study whereby the participants or subject are divided into groups such that some are exposed to the independent variable or treatment while the other subjects are used as control for the study, The group of participants which are exposed or given the actual treatment or independent procedure are called the experimental group. In the scenario above, experimental group are the group of students which were given caffeinated coffee which is the independent variable in this case.

4(6*9)+90=?
PLS CAN SOMEONE HELP ME

Answers

Answer:

306

Step-by-step explanation:

6*9=54

54*4=216

216+90=306

Find the missing side of triangle

Answers

Answer:

x = 50

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other two sides , then

x² = 48² + 14² = 2304 + 196 = 2500 ( take the square root of both sides )

x = [tex]\sqrt{2500}[/tex] = 50

48^2 + 14^2 = x^2
X= 50
Other Questions
Describe how you could whether sound travels best through wood, plastic, or metal. Which sentence is punctuated correctly?aThe Statue of Liberty, which is mostly made of pure copper is a New York City landmark.bThe Statue of Liberty, which is mostly made of pure copper, is a New York City landmark.c The Statue of Liberty which is mostly made of pure copper is a New York City landmark. informe que propone recomendaciones para seguir construyndonos como pas, revisado y editado m3 ayudan porfavor someone help me pls i need to pass summer school A physical trainer decides to collect data to see if people are actually weight changing weight during the shelter in place. He believes there will not be a meaningful change in weight due to the shelter in place order. He randomly chooses a sample of 30 of his clients. From each client, he records their weight before the shelter in place order, and again 10 days after the order. A summary of the data is below.The trainer claims, "on average, there is no difference in my clients' weights before and after the shelter in place order." Select the pair of hypotheses that are appropriate for testing this claim.H0: d = 0H1: d < 0 (claim)H0: d = 0 (claim)H1: d 0H0: d 0 (claim)H1: d = 0H0: d = 0 (claim)H1: d > 0H0: d = 0H1: d > 0 (claim)H0: d = 0H1: d 0 (claim)H0: d = 0 (claim)H1: d < 0H0: d 0H1: d = 0 (claim)b) Select the choice that best describes the nature and direction of a hypothesis test for this claim.This is a right-tail t-test for d.This is a right-tail z-test for d.This is a two-tail t-test for d.This is a two-tail z-test for d.This is a left-tail t-test for d.This is a left-tail z-test for d.c) Find the standardized test statistic for this hypothesis test. Round your answer to 2 decimal places.d) Find the P-value for this hypothesis test. Round your answer to 4 decimal places.e) Using your previous calculations, select the correct decision for this hypothesis test.Fail to reject the alternative hypothesis.Reject the alternative hypothesis.Fail to reject the claim.Reject the claim.Fail to reject the null hypothesis.Reject the null hypothesis.f) Consider the following statements related to the trainer's claim. Interpret your decision in the context of the problem (ignoring the claim) and interpret them in the context of the claim. DESCRIBE THE GENERAL STRATEGY BEHIND DEALOCK PREVENTION AND GIVE A PRATICAL EXAMPLE Answer: remind Elias about the dangers of concussions and the consequences of serious injuryremind Elias how he missed games last year and did not like the way he felt being on the sidelines Elevator speech is another term for in Brown's typology of police styles, the old-style crime fighters Group of answer choices Are concerned only with action that might be considered crime control Avoided situations where they might be challenged Balanced coercion with compassion Had citizens solve problems and made deals to keep the peace scientist has two solutions, which she has labeled solution a and solution b. solution a is 60% salt and solution b is 85% salt. she wants to obtain 140 ounces of mixture that is 80% salt. How many ounces of each solution should she use? You are testing the claim that the proportion of men who own cats is larger than the proportion of women who own cats. You sample 170 men, and 70% own cats. You sample 190 women, and 40% own cats. Find the proportion of the pooled samples, ( p c pc ), as a decimal, rounded to two decimal places. Please I need help :( 2 Which of the following is NOT a safe practice if you are a pedestrian working around vehicles?O A. Walking in the same direction as moving trafficO B. Making eye contact with drivers as they approach to make sure they see youO C. Looking both ways before stepping out from blind cornersO D. Wearing reflective materials or carrying a flashlight at night Find the length of the missing sides Square inscribed in a circle with radius 16.Ill mark u as a brainliest!! It is the duty of a passenger to always look a good distance ahead and to think several steps in advance. The Learner Company uses the weighted average method. Learner's beginning work in process consists of 6,600 units (100% complete with respect to materials and 60% complete with respect to conversion costs). The number of units completed during the period is 126,000. The ending work in process consists of 10,500 units (100% complete with respect to materials and 30% complete with respect to conversion costs). What are the equivalent units of production with respect to conversion costs PLEASEEEE HELLLLP MEEEE - 5x + x - 6x6x3 - 4 - 5 + 6x3 - 3x3 Exercise 1: Choose the most suitable word or phrase 1. London is home to people of many _______ cultures. a. diverse b. diversity c. diversify d. diversification 2. John cannot make a _____ to get married to Mary or stay single until he can afford a house and a car. a. decide b. decision c. decisive d. decisively 3. My mother used to be a woman of great _______, but now she gets old and looks pale. a. beauty b. beautiful c. beautifully d. beautify 4. Although they are twins, they have almost the same appearance but they are seldom in _____. a. agree b. agreeable c. agreement d. agreeably 5. The more _______ and positive you look, the better you will feel. a. confide b. confident c. confidently d. confidence 6. My parents will have celebrated 30 years of _______ by next week. a. marry b. married c. marriageable d. marriage 7. Many Vietnamese people ______ their lives for the revolutionary cause of the nation a. sacrifice b. sacrificed c. sacrificial d. sacrificially 8. They had a ______ candlelit dinner last night and she accepted his proposal of marriage. a. romance b. romantic c. romantically d. romanticize 9. Are there any _____, between Vietnamese and American culture? a. differences b. different c. differently d. differential 10. She_______ decided to walk home alone. a. wise b. unwise c. wisdom d. unwisely 1. Nowadays, young people are free to choose their mates and they are encouraged_____________ at least at the age of 23. a. marrying b. marry c. to marry d. married 2. Some people are concerned with physical _______when choosing a wife or husband. a. attractive b. attraction c. attractiveness d. attractively 3. What could be more_______ than a wedding on a tropical island? a. romance b. romantic c. romanticizing d. romanticism 4. In my hometown, many people still believe in_______ marriage. a. contract b. contractual c. contracts d. contracting 5. ___________ women are responsible for the chores in the house and taking care of the children. a. With tradition b. On tradition c. Traditional d. Traditionally 6. Though their performance was not perfect yet, the students held the audience's_____________ until the end. a. attentive b. attention c. attentively d. attentiveness 7. The survey will cover various ways of ___________ the different attitudes toward love and marriage of today's youth. a. determination b. determine c. determined d. determining 8. Both Asian and Western students seem ______ about how to answer the questionnaire of the survey. a. confusedly b. confused c. confusing d. confusion 19. She was__________ unaware of the embarrassing situation due to her different cultural background. a. complete b. completed c. completing d. completely 20. What is more important to you, intelligence or___________________? a. attraction b. attractiveness c. attractive d. attracted Exercise 2: 1. What is the (marry) ______________ age in your country? 2. In (compare) ______________ with their American (part) ______________, young Asians are considered to be less (romance) ______________. 3. The spectators cheered in (astonish) ______________ when the goal was scored in the very first few minutes of the game. 4. The man got sacked right after the boss realized that he was (trust) ______________ 5. The scales in front of the court (symbol) ______________ justice. 6. The Chinese (wide) ______________ their eyes to express (angry) ______________whereas the (Europe) ______________ regard this expression a sign of (respect) ______________ 7. This zone was completely (secure) ______________ during the war. Few people lived here. 8. The hostess showed little (approve) ______________ of her guests' behavior. 9. Tina is a (demand) ______________ teacher who encourages (perfect) ______________ in most of her students. 10. If eye contact is prolonged may be considered (respect) ______________.