Find the total amount owed, to the nearest cent, for a simple interest loan with a principal of $2950, an interest rate of 7.4% and a time period of 1.5 years. Show​

Answers

Answer 1

Answer:

A = $ 3,283.44

A = P + I where

P (principal) = $ 2,950.00

I (interest) = $ 333.44

Step-by-step explanation:

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

Where:

A = Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

R = Annual Nominal Interest Rate in percent

r = Annual Nominal Interest Rate as a decimal

r = R/100

t = Time Involved in years, 0.5 years is calculated as 6 months, etc.

n = number of compounding periods per unit t; at the END of each period


Related Questions

PLEASE HELP !!


Image attached




Answers

Answer:

C = 31.4 inches

Step-by-step explanation:

The circumference of a circle is found by

C = pi *d

C =3.14 * 10

C = 31.4 inches

Answer:

C = 31.4 inches

Step-by-step explanation:

To find the circumfrence

C = pixd

C =3.14x10

C = 31.4 inches

Question: Meghan has created a diagram of her city with her house, school, store, and gym identified. A. How far is it from the gym to the store? B. Meghan also wants to walk to get some exercise, rather than going to the gym. She decides to walk along arc AB. How far will she walk? Round to 3 decimal places.

Answers

Answer:

a). Distance between the gym and store 9.25 m

b). Meghan will walk 5.637 m along the arc AB.

Step-by-step explanation:

a). Theorem of intersecting chords inside the circle,

When two chords intersect each other in a circle multiplication of their segments are equal.

3×7 = 4a

a = [tex]\frac{21}{4}[/tex]

a = 5.25 m

Distance between the gym and store = 4 + 5.25

                                                               = 9.25 m

b). Length of an arc = [tex]\frac{\theta}{360}\times (2\pi r)[/tex]

                           [tex]\widehat{AB}[/tex] = [tex]\frac{64.6}{360}\times 2\pi (5)[/tex]

                                 = [tex]\frac{646\pi }{360}[/tex]

                                 = 5.6374 m

                                 ≈ 5.637 m

Therefore, Meghan will walk 5.637 m along the arc AB.

What is the slope of the line containing (-1,8) and (3, -12)?

Answers

Answer:

-5

Step-by-step explanation:

We can find the slope since we have two points

m = (y2-y1)/(x2-x1)

   = (-12-8)/(3 - -1)

   = (-12-8)/(3+1)

   = -20/4

   = -5

Answer:

-5

Step-by-step explanation:

We can find the slope since we have two points

m = (y2-y1)/(x2-x1)

  = (-12-8)/(3 - -1)

  = (-12-8)/(3+1)

  = -20/4

  = -5

y= 3x+7
y = -2x - 3
Whats the x and y for the solution

Answers

Answer:

x=-2, y=1

Step-by-step explanation:

y=3x+7

y=-2x+3

Set the two equations equal to each other:

3x+7=-2x-3

Add 2x to both sides:

5x+7=-3

Subtract 7 from both sides:

5x=-10

Divide both sides by 5:

x=-2

Plug back into one of the original equations to find y:

y=3(-2)+7=-15+7=1

Hope this helps!

Math revision part 4

Answers

Answer:

First one is (d)

Second one is (c)

Third is (a)

Fourth is (21)

The volume of a cone is 201.92 cubic units. If a cylinder has the same height and radius as a cone what is it’s volume in cubic units?

Answers

Answer:

Cone: 201.92=π×r^2×h×1/3

Cylinder: V=π×r^2×h

So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:

201.92×3

Step-by-step explanation:

Answer:

Anwser is (B)

Step-by-step explanation:

Cone: 201.92=π×r^2×h×1/3

Cylinder: V=π×r^2×h

So you can see that there is No difference between the two equations except from the Factor 1/3. Without This Factor the volume of the cone would be three Times as big. Therefore, to calculate the Volume of the cylinder, you have do This:

Draw the graph of y = 3x - 1
on the grid.

Answers

Can you send a picture easier to solve

which of the following describes the number 0.5? A. irrational, terminating decimal
B. Rational, repeating decimal
C. irrational, nonrepeating decimal
D. Rational, terminating decimal

Answers

Answer:

D

Step-by-step explanation:

0.5 can be written as a fraction and 0.5 doesn't repeat

The number 0.5 is rational and terminating decimal thus option (D) is correct.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

As per the given number, 0.5

Since 0.5 = 5/10 here 5 and 10 both are integers thus it will be a rational number.

Now, 0.5 here the number after the decimal is only one 5 so it is finite thus it will be terminating decimal.

Hence "The number 0.5 is rational and terminating decimal".

For more about the number system,

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Pleasee help I am being timed

Answers

Answer:

A: 33.5

B: 24.5

Step-by-step explanation:

Answer:add the cost for all the books for answer one and for number 2 subtract 9 from the total of answer 1.

Step-by-step explanation:

equivalent fractions for 5 out of 7​

Answers

Answer:

There are 20 ways but I will give you 4 :)

1. Multiply the numerator and the denominator by 2:

5/7 x 2/2 = 10/14

2. Multiply the numerator and the denominator by 3:

5/7 x 3/3 = 15/21

3. Multiply the numerator and the denominator by 4:

5/7 x 4/4 = 20/28

4. Multiply the numerator and the denominator by 5:

5/7 x 5/5 = 25/35

Step-by-step explanation:

There you go!

Help meh pls!!!!!!!!!!!!!!!!!!!!!!! 11÷3/4

Answers

Answer:

Step-by-step explanation:

Multiply by the reciprocal of 3/4. That is 4/3

[tex]\frac{11}{1} *\frac{4}{3} =\frac{44}{3}[/tex]

2 doesnt go into 44, but it does go into 42. It goes into 42 fourteen times. Then there is 2/3rds leftover

[tex]\frac{44}{3} ,14\frac{2}{3}[/tex] are both equivalent

350 people visited a zoo the zoo has four types of tickets the manager wants a sample of size 30, stratified by ticket type. how man teenagers should be in the sample *see attached*

Answers

Answer: 10

Step-by-step explanation:

Given the following :

Total number of visitors = 350

Sample size = 30

Number selected from each strata is given by:

(Strata size ÷ Total population) × sample size

From the cumulative frequency distribution :

Child - 90

Teen - (210 - 90) = 120

Adult - (350 - 210) = 140

Senior = 0

Strata size of teen = 120

Therefore, number of teen selected is ;

(120 ÷ 350) × 30

0.3428571 * 30 = 10.26 (10 visitors)

25
Write the number 0.5 in the form , using integers, to show that it is a rational number.
5/11
5/100
5/10
2/1​

Answers

Answer:

5/10

Step-by-step explanation:

0.5 is 5 tenths which is 5/10

Two lines meet at a point that is also the endpoint of a ray. Set up and solve the appropriate equations to determine and

Answers

Answer:

Angle x=19°

Angle Y=53°  hopes this helps i might be wrong idk

Step-by-step explanation:

Since a right angle is 90° and a straight line is 180°,the other side(71+x)=90.Therefore,90-71=19,which is angle x.There is another straight line,since angle x is 19°.All you have to do is subtract 71+37+19 from 180 to get Angle Y.The answer is 53°.Angle X=90-71=19Angle Y=180-37-71-19

provide the value of k:
(2x-1)(kx+1)=6x^2-x-1

Answers

Answer:

k = 3

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms on both sides.

(2x - 1)(kx + 1) ← expand using FOIL

= 2kx² + 2x - kx - 1

Compare the coefficients of the x² term on both sides

2k = 6 ( divide both sides by 2 )

k = 3

Answer:

k= 6x-3/2x-1

Step-by-step explanation:

How far up a wall will an 11-meter ladder reach, if the foot of the ladder is 4 meters away from the base of the wall?

Answers

Answer: approximately 10.4 feet

Step-by-step explanation:

pls help........................​

Answers

Answer:

30 in

Step-by-step explanation:

idk how to explain, so yea:)

will mark bianleast plz pzl
Which are the coordinates of the vertices of the reflected figure when triangle ABC is reflected across the x-axis?


A'(5, 3) B'(–3, 2)
C'(–2, –2)


A'(5, 3) B'(3, –2)
C'(2, 2)


A'(–5, –3)
B'(3, –2)

C'(–2, –2)

A'(–5, –3) B'(3, –2)
C'(2, 2)

Answers

Answer:

A'(-5, -3) B'(3, -2) C'(2, 2)

Step-by-step explanation:

count the squares up or down to the x axis from each point and then go the same number of squares on the other side

Find the coordinate of point X inside segment BE that is 1/2 (half) the
distance from B to E.
2

Answers

Answer:

Point D

Step-by-step explanation:

Half the distance between B and E is at -4. Point D is at -4, so point X is at point D.

Which situation could the equation -3*20=-60 represent?

Answers

Answer:

total temp of 20 winter days

Step-by-step explanation:

An object has a mass of 35.0 grams. On Anthony’s balance, it weighs 38.5 grams. What is the percent error of his balance?

Answers

Answer:

10%

Step-by-step explanation:

35 ÷ 100 = 0.35

38.5 - 35 = 3.5

3.5 ÷ 0.35 = 10%

8
If Zoey sells over 50 boxes of cookies, then she will win a prize.
Which of the following is the hypothesis in the statement above?
A.
she will not win a prize
B.
Zoey sells under 50 boxes of cookies
C.
she will win a prize
D.
Zoey sells over 50 boxes of cookies

Answers

Answer: Zoey sells over 50 boxes of cookies

Step-by-step explanation: The hypothesis is the “if” part in an if-then statement.

A rectangular prism has a width of 5 cm, a height of 8 cm and a depth of 2 cm. What is the volume of the
prism?

Answers

8 x 2 x 5 = 80

So the volume of the prism would be 80 cubic centimeters

the volume of the rectangular prism is 80 cubic centimeters.

The volume of a rectangular prism can be calculated by multiplying its length, width, and height. In this case, the width is 5 cm, the height is 8 cm, and the depth is 2 cm.

Volume = length × width × height

Substituting the given values into the formula:

Volume = 5 cm × 8 cm × 2 cm

Calculating the multiplication:

Volume = 80 cm³

Therefore, the volume of the rectangular prism is 80 cubic centimeters. This means that the prism can hold 80 units of a cubic centimeter, such as water or any other substance.

Learn more about volume here

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If 153=2(z+z)n, then what’s is the value of 4nz+20

Answers

Answer: (-4, 6)

Step-by-step explanation:

for this question, we can use the substitution method. this is where we substitute the coordinates in the answer choices into the given system of inequalities or equations to determine which one is true.

1. (-4,6)

x + 4y > 12

-4 + 4(6) > 12

20 > 12 is true

now we can substitute the second inequality.

3(6) > -4 + 6

18 > 2 is true, therefore making this set of points true.

it may be helpful to substitute the rest of the values of x and y into the inequalities to verify your answers :

5 + 4(2) > 12

5 + 8 > 12

13> 12 is true

3(2) > 5 + 6

6 > 11 is not true

the rest of the answer choices are also not true.

I hope this helped you!

In a school there are 300 students 90 of them are male students. Find out the percentage of female students.​

Answers

Answer:

70%

Step-by-step explanation:

Total students = 300

Male students = 90

Female students = 300 - 90 = 210

Percentage of female students

[tex] = \frac{210}{300} \times 100 \\ \\ = \frac{210}{3} \\ \\ = 70\%[/tex]

Answer:

70%

Key Points:

Total Students: 300Male Students: 90

Unknowns:

Male Student PercentageFemale Student CountFemale Student Percentage

We are given the overall amount of students as well as the male students. Using these, we can determine how many females are in the school.

300 overall students - 90 male students = ____ female students

Simplify.

Given our above equation, we now know that there are 210 female students at the school.

In order to find the percentage of females at the school, we must divide the female students by the overall size of the school.

[tex]\frac{210}{300} = ?[/tex]

Our next step is to grab a calculator and input 210 ÷ 300. You can alternatively use the long division method but a calculator would work best. After calculating, your answer should come out to be 0.7

Now, you need to multiply it by 100 so that you can create a percentage.

0.7 × 100 = 70%

Therefore, 70% of the students are female.

Checking our work:

A great way to ensure that your answer is correct is by checking your work. We can do this by finding the percentage of male students and adding it to the percentage of female students.

If 70% is the correct percentage for female students, the male and female percentages should add up to 100%

Finding the male percentage:

Similar to how we found the percentage of females at the school, we must  divide the male students by the overall size of the school. Reminder: there are 300 students and 90 of them are male.

[tex]\frac{90}{300} = ?[/tex]

Again, you should pull out your calculator and input 90 ÷ 300. This should give you 0.3

Next, multiply your answer by 100 to get our percentage.

0.3 × 100 = 30%

Knowns:

Female Percentage: 70%Male Percentage: 30%

Add the female percentage with the male percentage: 70% + 30% = 100%

As predicted, our answer was 100%. Therefore, 70% of the students are female.

Learn more about solving for percentages by reviewing these answers!

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which equation represents the function on the graph?

Answers

Answer:

the answer would be c the

third option

the answer should be c :)

plz help asap im timed just this and ill give u 5 stars brainliest and a thank u no cap

no its not a

Answers

Answer:

D

Step-by-step explanation:

2 x 4 = 8

8 x 2 = 16

4 x 9 = 36

36 x 2 = 72

9 x 2 = 18

18 x 2 = 36

16 + 72 + 36 = 124

124 = D

Misty, Tina and Jen walk into a store. The manager places his hand on Tina’s shoulder and tells her, “You didn’t win the door prize.” Then he looks at Jen and Misty and says, “But one of you did.” What is the probability that Jen has won?

A. 50%

B. 25%

C. 75%

D. 100%

Answers

Answer:

50%

Step-by-step explanation:

3 of them walk into a store, giving her a 33.333% chance of winning. By eliminating one, Tina may as well have never walked into the store, leaving Jen with a 50% chance.

Answer:

A.50%

Step-by-step explanation:

if ABC~DEF and the perimeter of ABC is 4 times greater than the
perimeter of DEF, what is the relationship between the areas of the
triangles?

Answers

Answer:

The area of triangle ABC is 16 times larger than the area of triangle DEF

Step-by-step explanation:

Step 1: Re-state the input

Given two triangles ABC and DEF are similar with ratio k.

Step 2: Derive the information

Suppose that the triangle ABC is k times larger than triangle DEF.

=> It means that all sides and heights of triangle ABC are k times larger than corresponding sides and heights of triangle DEF.

For example:

AB = k x DE

AC = k x DF

BC = k x EF

=> AB + AC + BC = k x (DE + DF + EF)

=> Perimeter of triangle ABC is k times larger than perimeter of triangle DEF

Step 3: Solve the problem step-by-step

Suppose that AH is the height from vertex A to base BC of triangle ABC and DH' is the height from the vertex D to base EF of triangle DEF.

As the above assumption states:

AH = k x DH'

BC = k x EF

Multiply both sides of the two above equations:

=> AH x BC = DH x EF x k x k

Simplify k components:

=> AH x BC = DH x EF x k^2

Multiply (1/2) to both sides:

=> (1/2) x AH x BC = (1/2) x DH x EF x k^2

Apply the formula to calculate the area of a triangle:

=> Area of triangle ABC = Area of triangle DEF x k^2

In other words:

The area of triangle ABC is (k^2) times larger than area of triangle DEK.

Here, the perimeter of triangle ABC is 4 times larger than the perimeter of triangle DEF => k = 4

Step 4: Make the conclusion

=>The area of triangle ABC is (4^2 = 16) times larger than area of triangle DEK.

Hope this helps!

:)

a cyclist rides his bike at a rate of 10 miles per hour. what is this rate in kilometers per hour? how many kilometers will the cyclist travel in 4 hours? in your computations assume that 1 mile is equal to 1.6 kilometers. DO NOT ROUND YOUR ANSWER

Answers

Answer:

64

Step-by-step explanation:

speed of cyclist = 10 miles per hour

given 1 mile is equal to 1.6 kilometres.

1*10 miles will be equal to 1.6*10 kilometres

thus , 10 mile is equal to 16 kilometres

using 16 km in place of 10 miles in 10 miles per hour

we have

speed of cyclist = 16 kilometres per hour

we know that distance = speed * time

speed is 16 kilometres per hour

time 4 hours

thus , distance = 16*4 kilometres= 64 kilometres.

cyclist will travel 64 kilometres in 4 hours.

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Fill In The Blank with nuncio, siempre, nadie, tambin, algo, alguien, or nada.Vas a hacer.... este fin de semana? No voy a hacer.... el sbado, pero tengo algo el domingoestas ocupando los domingos!..... tienes tiempo para mi The lowest common multiple of the prme numbers between 1 and 10 is? Antone is taking four of his friends to see the latest movie. Each ticket is $5.50, and he is paying for all five tickets. How much money does Antone need to bring to pay for all of the tickets? A. $22.00 B. $27.50 C. $88.00 D. $110.00 Paul Sabin organized Sabin Electronics 10 years ago to produceand sell several electronic devices on which he had securedpatents. Although the company has been fairly profitable, it is nowexperiencing a severe cash shortage. For this reason, it isrequesting a $620,000 long-term loan from Gulfport State Bank,$160,000 of which will be used to bolster the Cash account and$460,000 of which will be used to modernize equipment. The company's financial statements for the two most recent years follow:Sabin ElectronicsComparative Balance SheetThis Year Last YearAssets Current assets: Cash $ 118,000 $ 270,000Marketable securities 0 30,000Accounts receivable, net 633,000 420,000Inventory 1,065,000 715,000Prepaidexpenses 30,000 34,000Total currentassets 1,846,000 1,469,000Plant and equipment,net 1,969,200 1,490,000Total assets $ 3,815,200 $ 2,959,000Liabilitiesand Stockholders Equity Liabilities: Currentliabilities $ 820,000 $ 420,000Bondspayable, 12% 850,000 850,000Totalliabilities 1,670,000 1,270,000Stockholders'equity: Commonstock, $15 par 630,000 630,000Retained earnings 1,515,200 1,059,000Total stockholders equity 2,145,200 1,689,000Total liabilitiesand equity $ 3,815,200 $ 2,959,000Sabin ElectronicsComparative Income Statement and ReconciliationThis Year Last YearSales $ 5,600,000 $ 4,710,000Cost of goodssold 3,995,000 3,570,000Gross margin 1,605,000 1,140,000Selling andadministrative expenses 677,000 572,000Net operatingincome 928,000 568,000Interestexpense 102,000 102,000Net income beforetaxes 826,000 466,000Income taxes(30%) 247,800 139,800Net income 578,200 326,200Commondividends 122,000 101,000Net incomeretained 456,200 225,200Beginning retainedearnings 1,059,000 833,800Ending retainedearnings $ 1,515,200 $ 1,059,000During the past year, the companyintroduced several new product lines and raised the selling priceson a number of old product lines in order to improve its profitmargin. The company also hired a new sales manager, who hasexpanded sales into several new territories. Sales terms are 2/10,n/30. All sales are on account.e. The average sale period. (Theinventory at the beginning of last year totaled$620,000.)(Round your intermediate calculations and finalanswers to 1 decimal place. Use 365 days in a year.)f. The operating cycle.(Round your intermediate calculations and final answer to 1decimal place.)g. The total asset turnover. (The total assets at the beginning oflast year were $2,919,000.) (Round your answers to 2decimal places.)h. The debt-to-equity ratio.(Round your answers to 3 decimal places.)i. The times interest earned ratio.(Round your answers to 1 decimal place.)j. The equity multiplier. (Thetotal stockholders equity at the beginning of last year totaled$1,679,000.) (Round your answers to 2 decimalplaces.) HELP ASAP PLEASEAre the bases of the prism equilateral triangles? Why or why not? 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Then find the percent of change, rounding to the nearest tenth of a percent, if necessary.60 cars to 24 cars What problem can be solved by the equation ? 2.50x-2.00=10.50 If Home Depot was correct in that it was not discriminating, but simply filling positions consistent with those who applied for them (and very few women were applying for customer service positions), given your reading of this chapter, was the firm guilty of discrimination? If so, under what theory? which statements about the controlling idea of a text are true? select 4 options After the accounts have been adjusted at December 31, the end of the fiscal year, the following balances were taken from the ledger of Pioneer Delivery Services Co.: Kerry Buckner, Capital. $9,556,300 Kerry Buckner, Drawing 80,000 Wages Expense 1,878,400 Rent Expense 1,415,500 Supplies Expense 125,000 Fees Earned 30,600 Miscellaneous Expense 22,100 Journalize the two entries required to close the accounts.