$100 is borrowed at 9% interest per year. How much is owed after one year if interest is compounded :
a. annually?
b. monthly?
c. continuously?

$100 Is Borrowed At 9% Interest Per Year. How Much Is Owed After One Year If Interest Is Compounded :a.

Answers

Answer 1

Answer:

Step-by-step explanation:

a). Formula to be used,

   A = P(1 + i)ⁿ

       = 100(1 + 0.09)¹

       = $109

b). Formula to be used,

   A = [tex]P(1+\frac{i}{12})^{12n}[/tex]

       = [tex]100(1+\frac{0.09}{12})^{12\times 1}[/tex]

       = [tex]100(1+0.0075)^{12}[/tex]

       = 100 × 1.0938

       = $109.38

(c). Formula to be used,

     A = [tex]Pe^{i\times n}[/tex]

         = [tex]100e^{1\times 0.09}[/tex]

         = [tex]100(e)^{0.09}[/tex]

         = $109.42


Related Questions

A car travels 62 miles in 1.3 hours. If the car continues traveling at the same speed, how many hours will it take to travel 124 miles?
2.6 hours
3.2 hours
4.8 hours
5.4 hours

Answers

62 /1.3=124 /x
Cross multiply
62x= 124 times 1.3
62x = 161.2
X= 2.6

Find x
13x+5)
(6x – 14)°
y + 8)

Answers

Answer:

X=21

Step-by-step explanation:

3x+5+6x-14=180

9x-9=180

9x=180+9

9x=189

x=21

The answer is 21 :)

Solve for n in the following equation. A=P(1+n) show all your work

Answers

Answer:

A-1/P=n

Step-by-step explanation:

step 1. look at the parentheses and use inverse operations on both sides

A=P(1+n)

-1       -1

step 2. divide both sides by P

A-1=P(n)

/P    /P

n= A-1/P

The value of n on solving the equation A = P (1 + n) is A / P - 1.

What is equation?

An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.

Given:

A = P (1 + n),

Here we can solve the parentheses by using the distributive property as shown below,

A = P × 1 + P × n

A = P + nP

Transform as shown below,

nP = A - P

n = (A - P) / P

n = A / P - 1

Thus, the value of n is A / P - 1.

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Did the scale factor of 0.75 enlarge reduce or stay the same?

Answers

Answer:

[tex]\huge\boxed{\sf Reduces}[/tex]

Step-by-step explanation:

Since the scale factor of 0.75 is less than 1, So the dilated image is a reduced image.

Thus the scale factor of 0.75 reduces the dilated image.

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

Answer:

-it reduces-

Step-by-step explanation:

good luck:)

A local restaurant only sells burgers and cokes. 3 burgers and 5 comes cost $17, while 6 burgers and 9 cokes cost $33. What’s the price of a burger?

Answers

Answer:

The price of a burger is $4 and that of cone is $1.

Step-by-step explanation:

Let the cost of burger is x and that of cone is y.

ATQ,

3x+5y = 17 ....(1)

And

6x + 9y = 33 ...(2)

Multiply equation (1) by 2.

6x + 10 y = 34 ...(3)

Subtract equation (2) from (3)

6x + 10 y-(6x + 9y) = 34 - 33

6x + 10 y-6x- 9y = 1

y = 1

Put the value of y in equation (1)

3x+5 = 17

3x = 12

x = 4

So, the price of a burger is $4 and that of the cone is $1.

Car dealership pays a wholesale price of $10,000 to purchase a vehicle if they mark up the price 20% what is the retail price of the car

Answers

Answer:

8000

Step-by-step explanation:

10000 x 20% = 2000

10000-2000= 8000

A bakery offers a sale price of $2.85 for 6 muffins. What is the price per dozen?

Answers

Answer:

2.85 x 2 is equal to 5.7 so that should be the answer

Step-by-step explanation:

Did it on calculator sorry if wrong lol

Answer:

$5.70

Step-by-step explanation:

6 muffins is half a dozen, so double $2.85 and you get $5.70.

A lion can run 18 mph faster than a giraffe. If a lion can run 50 mph how fast can the giraffe run?

Answers

Answer:

32

Step-by-step explanation:

its just 50 minus 18 and dont forget to borrow

Answer:

32mph

Step-by-step explanation:

So I think all you have to do is subtract 18 from 50 so 50 - 18 = 32mph

So in conclusion the giraffe can run 32mph if a lion is running at 50mph

PLZ ANSWERE QUICKLY​

Answers

Transition because it mirrored but not exactly

No I never lied hahahah

Answers

Answer:

liar

Step-by-step explanation:

Can I get a brainliest answer pls

what is the maximum number of cubes with side lengths of 1/2 cm that can fit into a right rectangular prism with base dimensions of 12 1/2 cm by 8 1/2cm and a height of 9 1/2cm?

Answers

Answer:

8075.

Step-by-step explanation:

Volume of the prism

= 12 1/2 * 8 1/2 * 9  1/2

= 25/2 * 17 / 2 * 19/2

= 8075/8 cm^3

The volume of the small cubes = (1/2)^3 = 1/8 cm^3

So the number required = 8075 / 8   /  1/8

= 8075*8 / 8

= 8075.

If Moore Motors buys at cost a truck for $4,000 and plans to sell it for $6,000, the percent markup on cost is:​

Answers

Answer: 50%

Step-by-step explanation:

(6000-4000)/4000= 2000/4000

=2/4=1/2

(1/2)100=50

solve the simultaneous equations
5x + 6y = 3
2x - 3y = 12

Answers

Answer: x =3; y = -2

[tex]\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ <=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\<=>\left \{ {{x=3} \atop {y=-2}} \right.[/tex]

Step-by-step explanation:

Answer:

x = 3, y = -2.

Step-by-step explanation:

5x + 6y = 3

2x - 3y = 12           Multiply this by 2:

4x - 6y = 24           Now add this to the first equation:

9x = 27

x = 3.

Substitute x = 3 in the second equation:

2(3) - 3y = 12

-3y = 12 - 6 = 6

y = 6 / -3

y = -2.

GIVEAWAY TO GET 100 POINTS + BRIANLIEST IF YOU ANSWER WHATS 9+10 B)

Answers

Answer:

uhhh 21

Step-by-step explanation:

19

if the probability of picking a pink jelly bean out of a bag is 4/15, what is the probability of not picking a pink jelly bean

Answers

Answer:

The probability of not picking a pink jelly bean: 11/15    

Step-by-step explanation:

As we know that the maximum value of the probability of an event would always be 1.

The reason is that '1' is certain that something would happen.

Given that the probability of picking a pink jelly bean out of a bag is 4/15.

Thus, the probability of not picking a pink jelly bean can be calculated by subtracting 4/15 from the maximum probability '1'.

i.e.

Probability of not picking a pink jelly bean = max probability - 4/15

                                                                       = 1 - 4/15

                                                                      = 11/15

Therefore, the probability of not picking a pink jelly bean: 11/15                                                                    

How many different triangles ABC can be formed if C=60∘, c=17√3 and a=34?

Answers

Answer:

Jordan, Its been 5 hours, whats the answer?

Step-by-step explanation:

There can be only 1 triangle formed by the given information.

What is triangle?

A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices. A triangle is also a polygon.

Given that, ABC can be formed if C=60∘, c=17√3 and a=34

Using the sine law for triangle,

A/sina = B/sinb = C/sinc

34/sina = 17√3/sin60°

⇒ sina = 90°

Since, The triangle ABC is a right triangle,

Hence, There can be only 1 triangle formed by the given information.

For more references on triangle, click;

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What is the value of b in the triangle shown below?
a.-4in
b.4in
c.+4in
d.no solution

Answers

The answer to the question is b.4in

plz help asap i will do brainliest!!! A car takes 4 hours to reach a destination travelling at the speed of 63 km/h. How long will it take to cover the same distance if the car travells at the speed of 56 km/h? Do these quantities (time and speed) vary directly or inversely? Find the constant of variation.

Answers

Answer:

A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.

Speed = distance / time

Distance = speed × time

Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be

4 × 63 = 252 kilometers.

if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be

Time = distance / speed

= 252/56 = 4.5 hours

The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.

Let speed = s and let time = t

s varies inversely with t

Introducing constant of inverse variation k, it becomes

s = k/t

When s = 56, t = 4.5

56 = k/4.5

k = 4.5 × 56 =252

This is the distance

Step-by-step explanation:

Write the equation of the linear relationship in slope-intercept form using decimals as needed

Answers

Answer:

25/82

Step-by-step explanation:

An example of statistical inference is a. a population mean b. hypothesis testing c. calculating the size of a sample d. descriptive statistics

Answers

Answer:

B

Step-by-step explanation:

Statistical inference is the process of making use of analytics to determine the characteristics of a population using its sample.

The two types of statistical inference are:

Hypothesis testing. Confidence interval estimation.

The data represent the results for a test for a certain disease. Assume one individual from the group is randomly selected. Find the probability of getting someone who tests ​negative, given that he or she has the disease.

Answers

Answer:

[tex]Probability = 0.0470[/tex]

Step-by-step explanation:

This question has missing detail. (See attachment for the data)

Required

Determine the probability that a selected individual who has the disease test negative.

This type of probability is referred to as conditional probability.

First, we need to get the number of individuals who have the disease.

[tex]Disease =142 + 7[/tex]

[tex]Disease =149[/tex]

Next, we list out the number of individual who have the disease but is negative.

[tex]Negative = 7[/tex]

The probability is then calculated as:

[tex]Probability = \frac{Negative}{Disease}[/tex]

[tex]Probability = \frac{7}{149}[/tex]

[tex]Probability = 0.04697986577[/tex]

[tex]Probability = 0.0470[/tex] (approximated)

I need help ASAP I’ll mark you brainliest if you help pls

Answers

Answer:

1 hour sorry if wrong

Step-by-step explanation:

I would appreciate if someone answered this it’s due in 15 mins and I’m scared cause it’s a big part of my grade I will give a brainlist to whoever answers it correctly

Answers

Answer:

MP=18

Perimeter of ∆LMP=42

Answer:

MP= 18

Perimeter is 42

Step-by-step explanation:

The midsegment is always half of the third side

LP=LO/2

LP=15

18+15+9=42

Factor 16x – 12 by the GCF.

Answers

Answer:

148 i thk i did 16x-12

Step-by-step explanation:

Math Finals HELPP
Jay has an online biology quiz due every 5 days and an online
math quiz due every 4 days. If both quizzes were due on June
6, when is the next day both quizzes will be due again?
JUNE
Sun
Mon
Tue
Wed
Thu
1
2
Fr Sat
3 4
10 11
17 18
8
9
5
12
7
14
13
15
16
23
19
21
24
20
27
25
22
29
26
28
30
A. June 13
B. June 16
c. June 26
D. June 29

Answers

Answer:

June 26th

Step-by-step explanation:

(x + 1)^2 -8 (x-1 +16)

Answers

Answer: x2−6x−119

Step-by-step explanation:

provided in the screenshot below

What is the slope of the line which passes through (4,7) and (2, 3)? (5 points)
2
-2.
3
-5

Answers

Answer:

2

Step-by-step explanation:

I need help on this math question plis ​

Answers

Answer:

B

Step-by-step explanation:

What is the solution to the inequality 14y−14≥14?

Answers

14y > 0 is the answer

Answer:

[tex]y \geqslant 2[/tex]

Step-by-step explanation:

1. Add 14 to both sides.

[tex]14y \geqslant 28[/tex]

2. Divide both sides by 14.

[tex]y \geqslant 2[/tex]

hellllllllllllllllllllllllllp me plzzzzz

Answers

D. 7 miles

Step-by-step explanation:

26.5/4 =6.62

So the best estimate is 7 miles

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