sam borrows 5500 at a rate of 12% interest per year what is the amount due at the end of five years if the interest is compounded continuously

Answers

Answer 1

Answer:

$ 10 021 . 65

Step-by-step explanation:

The equation for continuous compounding is   e^(i * t)

   where i = decimal yearly  interest      t = years

   FV  = 5500 e^(.12 * 5) = 10 021 .65


Related Questions

LAST CHANCE FOR TONS OF POINTS!!!!!!! AND BRAINLIEST!!!
A boat can travel 28 miles up a river in the same amount of time it takes to travel 36 miles down the same river. If the current is traveling at 2 miles per hour, what is the speed of the boat in still water?

Answers

Answer:

6

Step-by-step explanation:

Which statements are true about function g?

Answers

Answer:

The domain is all real numbers

The y - intercept is 2

The function is decreasing over its entire domain

4y+8-2y if y=3 what is the answer

Answers

Answer:

14.

Step-by-step explanation:

Plug 3 in for y:

= 4(3) + 8 - 2(3)

= 12 + 8 - 6

= 14.

2.5h + 3.1 = 13.1 what is h?​

Answers

Answer:

h=4

Step-by-step explanation:

Define relation in math

Answers

Answer:

A relation between two sets is a collection of ordered pairs containing one object from each set. If the object x is from the first set and the object y is from the second set, then the objects are said to be related if the ordered pair (x,y) is in the relation.

Step-by-step explanation:

help me out here guys

Four functions are listed below.
f(x) | (x^2-4) (x-1)
g(x) | (x+4) (x-6)
h(x) | (x^2+6)
k(x) | x (x^2-25)



Which two functions, when graphed, have the same number of x-intercepts?

A.
f(x) and g(x)

B.
g(x) and h(x)

C.
h(x) and k(x)

D.
k(x) and f(x)

Answers

D.

f(x) can be written as (x+2)(x-2)(x-1)
by using difference of two squares to expand x^2 - 4 whch yields 3 x intercepts

similarly, k(x) can be written as
x(x+5)(x-5) which also yields 3
x intercepts (0,-5, and 5)

A baseball team is hosting a dance as a fundraiser. the cost of 1 individual ticket is $7. the cost of 1 group ticket is $16. the baseball team sold 36 more individual tickets than group tickets. the fundraiser raised $574 as a result of all ticket sales. if x is the number of the individual tickets that were sold and y is the number of group tickets that were sold, how many individual tickets were sold (what is the value of x)?

Answers

Word Problem

To form equations from word problems, we can do the following:

Identify variablesFind key informationIdentify word equations and translate into numerical equationsSolve

Solving the Question

We're given:

Let x be the number of individual tickets that were soldLet y be the number of group tickets soldCost of 1x = 7 dollarsCost of 1y = 16 dollarsBaseball team: 36 more x than y
⇒ x = 36 + yFundraiser raised 574 dollars in total
⇒ 7x + 16y = 574 dollars

Question: How many individual tickets were sold? (What is the value of x?)

Here are all the equations we have created:

x = 36 + y7x + 16y = 574

We can solve for the value of x using systems of equations.

First, isolate y in the first equation:

[tex]x = 36 + y\\y=x-36[/tex]

Now, plug this into the second equation:

[tex]7x + 16y = 574\\7x + 16(x-36)= 574\\7x+ 16x-586= 574\\23x=1150\\\\x=\dfrac{1150}{23}\\\\x=50[/tex]

Therefore, x is equal to 50.

Answer

50 individual tickets were sold.

Drag each tile to the correct box. arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the function that eventually has the greatest value. 3x 8 4x 3 x2 6 3x 4x x2 ↓ ↓ ↓ ↓ ↓

Answers

The functions in ascending orders are:

1. 3x

2. 3x + 8

3. x^2

4. x^2 + 6

5. 4^x

6. 4^x + 3

What is a function?

A function is known to be that relation that is said to exist between a set of numbers that is known to be having one output each.

Note that in the above such as 3x, 3x + 8, the  functions in ascending orders as it start with the function that has it least value.

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PLEASE HELP ME WITH THIS QUESTION

Answers

Answer:

  75582

Step-by-step explanation:

The order of the correct problems does not matter, so the number of ways 8 of 19 problems can be correct is the number of combinations of 19 things taken 8 at a time:

  C(n, k) = n!/(k!(n-k)!)

  C(19, 8) = 19!/(8!(11!)) = 75582

121. How much sand is needed to fill a sandbox
8 feet by 6 feet to a depth of 18 inches?
A. 64 cu
B. 62 cu ft.
C. 74 cu ft.
D. 72 cu ft.
E. 68 cu ft.

Answers

The answer is D. 72 cu ft.

Answer: The answer is D. 72 cu ft.

Step-by-step explanation:

An investment of $10,000 is invested for 6 years at r% pa compounded weekly. If the investment grows to $14320.44, calculate the value of r.

Answers

I m sorry I hv no idea

.........

A diagonal of a cube measures 15 cm and the length of an edge of the cube is startroot 75 endroot cm. what is the length of the diagonal of a face of the cube? round to the nearest tenth. 7.1 cm 12.2 cm 13 cm 15 cm

Answers

A cube is a three-dimensional solid object having six square faces. The measure of the length of the diagonal of the face of the cube is 12.2 cm.

What is a cube?

A cube is a three-dimensional solid object having six square faces, facets, or sides, three of which meet at each vertex. The cube is one of the five Platonic solids and the only regular hexahedron.

Given the length of an edge of the cube is √75 cm, therefore, the length of the diagonal of the face of the cube will be √2 times the length of an edge of the cube. Thus, the measure of the length of the diagonal of the face of the cube is,

Length of the diagonal of the face = √2 × √75 = 12.2 cm

Hence, the measure of the length of the diagonal of the face of the cube is 12.2 cm.

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Answer: ITS B (12.2)

Step-by-step explanation:

I am the lizard king, I can do anything.

Tara is making dinner for 9 people. she mixes 114 kilograms of rice with 500 grams of vegetables and 410 grams of meat. if all of the food is split evenly among the diners, what is the size of each serving?
a.240 grams
b.244 grams
c.250 grams
d.256 grams

Answers

Answer:

Step-by-step explanation:

Remark

An amount no 9 people could consume. 114 kg is a huge amount of cooked rice. I' going to give a solution that says the rice is 114 grams of rice and see what happens.

Givens

rice =        114 grams

veggies = 500 grams

meat     =  410 grams

Solution

Add the givens

114

500

410

Total = 1024 grams

If 9 people are going to be present, (I assume that includes Tara), then each person will get 1024 / 9 = 113.8 which is none of the choices. There is something wrong with the problem. I would suggest you ask your teacher how this is done.

Answer

None of those given

PLEASE HELP ME I WILL MAKE YOU BRAINLIST!!!!

Answers

Answer:

I worked it out and got C as my answer

1 point
11
y
Find x and y.
DO
30°
x=11√2 y = 22
x = 22 y=11√/3
x = √√√3 y = 11

Answers

Answer:

x = 22, y = 11√3

Step-by-step explanation:

Here,

x is the Hypotenuse side

y is the adjacent side.

11 is the opposite side.

Formula : -

sin θ = Opposite side / Hypotenuse side

Here,

θ = 30

Note : -

The value of sin 30 = 1 / 2

1 / 2 = 11 / x


Cross multiply,

x * 1 = 2 * 11

x = 22

By Pythagoras theorem,

11² + y² = x²

11² + y² = 22²

y² = 22² - 11²

22² = 11² x 2²

11² = 11² x 1²

y² = 11² ( 2² - 1 )

y² = 11² x ( 4 - 1 )

y² = 11² x 3

Square root on both sides,

y = 11√3

How do I do this????​

Answers

Answer:

your answer will be 10 and that rounded to the nearest hundredth is 100.

Step-by-step explanation:

i really hope this is right

The graph of y = x³ + x² - 6x is shown. a) Estimate the x-coordinates of the turning points of the graph. X= Note: Please use a comma between your answers. b) Use the graph to find the solutions of x³ + x² - 6x = 0 X = Note: Please use a comma between your answers. -5 -4 3 -2 у 104 8- 6 4 2 -1 O -2- -4 60 -6- -8 -10- 1 2 3 X₁ 4 5​

Answers

Answer:

Below.

Step-by-step explanation:

(a). The x estimations of the turning points are -1.8 and 1.1, according to the graph.

(b). Where the graph crosses the x axis are the solutions. x = -3, 0, and 2 are the values.

Which function is represented by the graph?

Answers

Answer:

cos(x-[tex]\frac{pi}{4}[/tex])-2

Step-by-step explanation:

The function is cos(x).

The horizontal shift is caused by (x- pi/4) so it would go to the right a distance of pi/4. If it was positive the entire thing would go left (x + pi/4).

The vertical shift is caused by the negative 2. Unlike horizontal shifts, negative moves it down and positive moves it up.

The x-axis is in radians. Desmos has option to change it to radian.

Find the value of x in the parallelogram below.

Answers

Answer:

102

Step-by-step explanation:

78 and x are adjacent angles.

Sum of adjacent angles is 180 in a parallelogram.

78 + x = 180

x = 180 - 78

x = 102

Answer:

102°

Step-by-step explanation:

A parallelogram is a special type of quadrilateral that has both the pair of opposite sides parallel and equal.

78+x= 180( adjacent angles in a parallelogram)

x=180-78=102°

Find the sum of 2/3 and it’s additive inverse

Answers

Answer:

0

Step-by-step explanation:

2/3 additive inverse is 2/3

-2/3+2/3 is neutral = zero

-2/3+2/3 = 0

A water tank has a radius 5 feet and height 11 feet. How much water can it hold?

Answers

The water tank hold 863.50 [tex]ft^{3}[/tex] of water.

What is Volume of cylinder?

The volume of a cylinder is the number of unit cubes (cubes of unit length) that can be fit into it. It is the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it.

The water tank is in the shape of cylinder whose radius = 5 feet

and, height= 11 feet

Volume of water tank =[tex]\pi r^{2} h[/tex]

                                    = 3.14 * 5 * 5 * 11

                                    = 3.14*25*11

                                   = 863.50 [tex]ft^{3}[/tex]

Hence the water tank hold 863.50 [tex]ft^{3}[/tex] of water.

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A company offers its employees free recreational activities and gym memberships. of the 200 employees, 95 employees registered for recreational activities, 80 employees registered for gym memberships, and 30 employees did not register at all. if an employee is chosen at random, what is the probability that the employee has registered for both recreational activities and gym memberships?

a.) 39/40
b.) 3/20
c.) 17/20
d.) 1/40

Answers

From the calculation, we can see that, the  probability that an employee has registered for both recreational activities and gym memberships is 1/40.

What is probability?

The term probability refers to the chance that an event will occur or not. The probability of an event always lies between zero and 1.

Given that;

Number that registered for recreational activities = 95

Number that registered for gym membership = 80

Number that did not register at all = 30

Total number of gym employees =200

Hence; 95 + 80 +30 =205

Number that registered for both recreational activities and gym membership

= 205 - 200 =5

The probability that an employee has registered for both recreational activities and gym memberships is; 5/200 = 1/40

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A geometry teacher asked Charlene to define “acute triangle.” Charlene said that an acute triangle is a triangle whose three interior angles have measures less than 90°. Is Charlene’s definition valid?

Answers

Answer:

YES BECAUSE THIS DEFINITION FITS ALL ACUTE TRIANGLES AND DOES NOT FIT TRIANGLES THAT ARE NOT ACUTE

Step-by-step explanation:

i got it right on TTM

By about how many years did life expectancy increase in the us between 1960 and 2010? 7 years 17 years 27 years

Answers

Answer:

The closest answer would be 7 years

Step-by-step explanation:

In the '60s, the life expectancy was approximately 70 years, and in 2010 it was approximately 78.

Answer: answer would be 7 years

Step-by-step explanation:

just did it

The area A of the rectangle shown is 500 square meters. Find the value of x. Then give the dimensions of the rectangle.

Answers

Answer:

Length = 4(7) - 3 = 25 mWidth = 2(7) + 6 = 20 m

Step-by-step explanation:

Area Formula

*Area* = *Length* × *Width*

Given

Area = 500 square metersLength = (4x - 3) metersWidth = (2x + 6) meters

Solving

(4x - 3)(2x + 6) = 5008x² - 6x + 24x - 18 = 5008x² + 18x - 18 - 500 = 04x² + 9x - 259 = 0(4x + 37)(x - 7) = 0x = 7 [as distance is always positive]

Dimensions

Length = 4(7) - 3 = 25 mWidth = 2(7) + 6 = 20 m
Length=L=4x-3Breadth=B=2x+6

Now

Area =LB(4x-3)(2x+6)=5008x²+18x-518=0(x-7)(4x+37)=0x=7 or -37/4

Take it positive

L=4(7)-3=28-3=25B=2(7)+6=20

HELP PLEASE!!!!!!! not Hubby097 tho

Answers

Answer:

729.

Step-by-step explanation:

-3 /1 =-3

9 / -3= -3

-27/9 = -3

So this is a geometric sequence with common ratio r = -3.

First term a = 1 so

nth term = ar^(n-1)

               =  1(-3)^(n-1)

7th term  =  1(-3)^(7-1)

                =  (-3)^6

                 =  729.

         

help me with math please

Answers

Answer:

B. x ~ 5

This is a right isosceles triangle

Becky spent h hours studying
plus an additional 2 hours
typing a report for the week. If
her total studying and work
time was 6.5 hours, how many
hours did she study for?
Write an equation to solve.

Answers

Answer:

6.5 = h + 2

h = 4.5

Step-by-step explanation:

We are given h and since she did 2 additional hours of work, we add the 2 hours. and since we are trying to find h, we set the equation equal to 6.5

Pls help me?!? The Punta Birds Taxi Association is a business that provides taxi services to the city of Punta Birds and surrounding communities. Last year, their gross income totaled $25,000. They are required to pay 1.75% business tax on their annual gross income. How much tax are they required to pay to the Government?

Answers

Answer:

  $437.50

Step-by-step explanation:

The amount of tax is found by multiplying the tax rate by the amount being taxed.

__

  0.0175 × $25,000 = $437.50

They are required to pay a business tax of $437.50.

(06.01 MC)What is the value of the expression 2 + 32 ⋅ (3 − 1)?

20
22
23
32

Answers

Answer:

22

Step-by-step explanation:

3-1=2

2+3^2 x 2

3x3=9

2+9 x2

11x2=22

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