jayla invested $8200 in an account that grows continuously at an annual rate of 2.8%. write the function that represents the situation, where A is the value of Jaylas investment after t years. what will kayla’s investment be worth after 7 years to the nearest cent

Answers

Answer 1

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$8200\\ r=rate\to 2.8\%\to \frac{2.8}{100}\dotfill &0.028\\ t=years\dotfill &7 \end{cases} \\\\\\ A=8200e^{0.028\cdot 7}\implies A=8200e^{0.196}\implies A\approx 9975.52[/tex]


Related Questions

someone helpp, I don’t know how to solve it nor do I know the answer.

Answers

Answer:   80

========================================================

Explanation:

For any parallelogram, the diagonals cut each other in half. Formally this is known as bisection.

What this means is that the pieces AE and CE are the same length.

AE = CE

6x-8 = 2x+24

6x-2x = 24+8

4x = 32

x = 32/4

x = 8

Then we can calculate the length of each piece mention

AE = 6x-8 = 6*8-8 = 48-8 = 40CE = 2x+24 = 2*8+24 = 16+24 = 40

Both pieces are 40 units long to confirm we have the correct x value.

Therefore,

AC = AE + CE = 40+40 = 80

NEED HELP with these two pages please help me (30 points)

Answers

Answer:

1. B

2. E

3. D

4. B

5. C

6. B

7. E

8. D

9. D

10.D

11. E

what is the area of this polygon 5in 6in 7in 8in

Answers

98 area :). Hope it helped

Suppose y varies directly with x. Write a direct variation equation that relates x and y.
y=-10 when x=2

Answers

Answer: Suppose y varies directly with x. Write a direct variation equation that relates x and y.

Step-by-step explanation:

Answer is y = -5x

The equation for y varies directly with x is, y = - 5x.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, y varies directly with x.

Therefore,

y x.

y = kx, where k is the proportionality constant.

At y = - 10 when x = 2.

- 10 = 2k.

k = - 5.

So, y = - 5x.

learn more about proportion here :

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A bedroom is 15 ft long and 12 ft wide. How much will it cost to carpet the room if carpeting costs $22 per square yard?

Answers

Answer:

$1,320

Step-by-step explanation:

To find the area of the bedroom, you must multiply the length and the width. 15 multiplied by 12 is 180, so the area of the bedroom is 180 square feet. There are three feet in a yard, so you must divide the area of the bedroom in feet by 3 in order to get the area of the bedroom in yards. 180 divided by 3 is 60, so the area of the bedroom is 60 square yards. In order to find how much it will cost to carpet the room, you must multiply the area of the bedroom in yards by how much carpeting costs per square yard. 60 multiplied by 22 is 1,320, so it will cost $1,320 in order to carpet the room.

Work out the area of this shape. ? cm2

4 cm
9 cm
6 cm
12 cm

Help!!!

Answers

Answer:

84 cm^2

Step-by-step explanation:

Area of triangle + area of rectangle

Area of triangle = 1/2*l*b

= 1/2*8*3= 12 cm^2

Area of rectangle = l*b

= 12*6 = 72 cm^2

Total area= 72+12

= 84 cm^2

A salad dressing mixture of vinegar and oil is supposed to contain
V
ounces of vinegar for every cup of oil.

Which coordinate is represented on the graph?

Answers

Answer: where is the graph

Step-by-step explanation:

i cant help if there is no graph

Jenna made 2 times as many
bracelets as Meghan. Jenna made
14 bracelets. Which equation represents
the number of bracelets Meghan made?

Answers

Answer:

2x=14

Step-by-step explanation:

Meghan= x

2x=14

2x/2=14/2

x=7

what is 8 less then a number n is 13-

Answers

Answer:

n=21

Step-by-step explanation:

The equation would be n-8=13 then you add the 8 to the other side of the equation so it says n=21.

N=21 hope this helps you

The total number of plants in a garden is modeled by f(x)=2x2−12x, where x represents the number of rows in the garden.

How many rows are in the garden if it has a total of 110 plants?

Answers

Answer:

6 rows are in the garden if it has a total of 110 plants

Let's see

f(x)=1102x²-12x=1102x²-12x-110=02(x+5)(x-11)=0x=-5 or 11

Take it positive

rows=x=11

A box contains 2 red marbles, 3 white marbles, 4 green marbles, and 1 blue marble. Two
marbles are drawn at random without replacement. Find the probability of:
Selecting a red marble on both draws.

Answers

Answer:

1/45

Step-by-step explanation:

2/10 * 1/9 = 1/45

2/10= 2 red marbles and 10 marbles in total.

d + 3n = 1 can someone help?​

Answers

Answer: n = (1 - d) / 3

Step-by-step explanation: We are given with the equation d + 3n = 1  and asked to solve for n in the problem. the first step is to apply subtraction property by subtracting d to each side of the equation. Hence 3 n = 1 - d. next, we use division property by dividing the whole equation by 3.

A scale model of a volcano is 4 feet tall if the actual height of the volcano is 12,276 feet what is the scale of the model

Answers

Answer:

255.75ft/inch

Step-by-step explanation:

s (scale) = 12,276/4

s = 3069 ft

s = 3069/12

s = 255.75

answer.)s=255.75

explanation:

•divide 12,276' by 4'

•3069'/1'

• 1'=12"

• 3069' divided by 12"

•255.75

Which numbers can be added to 4.89 × 10–16 without having to rewrite one of them first? Check all that apply.

Answers

Answer:

A,B,E

Step-by-step explanation:

What is SCIENTIFIC NOTATION?

A. A short way to write really long numbers
B. A long way to write really short numbers
C. I don't know...
D. None of the above​

Answers

The answer to this is A.

What is 4(-5z+2)+(-6)

Answers

Answer:

-20z + 2

Step-by-step explanation:

4(-5z + 2) + (-6) =

= -20z + 8 - 6

= -20z + 2

Flat prats of solid figure

Answers

Answer:

the flat part of a solid figure is a face

BRAINLIEST

What is the relative frequency for students who have been to Alaska? What is the relative frequency for students who have been to Hawaii but not Alaska? What is the relative frequency for students who have not been to Alaska or Hawaii?.

Answers

The relative frequency for students who have been to Alaska, Hawaii but not Alaska, and not to Alaska or Hawaii is 0.28, 0.30, and 0.42 respectively.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, summarise the data.

The relative frequency for students who have been to Alaska will be

[tex]\rm Relative \ frequency = \dfrac{14}{50}\\\\Relative \ frequency = 0.28[/tex]

The relative frequency for students who have been to Hawaii but not Alaska will be

[tex]\rm Relative \ frequency = \dfrac{15}{50}\\\\Relative \ frequency = 0.30[/tex]

The relative frequency for students who have not been to Alaska or Hawaii will be

[tex]\rm Relative \ frequency = \dfrac{21}{50}\\\\Relative \ frequency = 0.42[/tex]

More about the statistics link is given below.

https://brainly.com/question/10951564

Answer: A= 14/50   B= 15/50   C= 21/50

Step-by-step explanation:

you are welcome  

If 1400 = 100% what is 40% of it

Answers

Answer:

560 is 40% of 1,400

Step-by-step explanation:

40 x 1400/ 100  = 560

560/1400 = 40%

What is the value of g(3) ?

Answers

Answer:3

Step-by-step explanation:

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The value of g(3) is 3

What is a function?

A function from a set X to a set Y assigns to each element of X exactly one element of Y.

We need to find the value of g(3).

From the question, we have

g(x)= x-1,  -2≤x<-1

g(x)= 2x+3, -1≤x<3

g(x)= 6-x,     x≥3

The value 3 is in the function g(x)=6-x

When x is 3

g(3)=6-3

Subtract 3 from 6.

g(3)=3

Therefore value of function g(3) is 3.

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Help with this problem please

Answers

Answer:

1 yard = 3 feet

3 × 4 = 12 feet of fabric

12 - 4 = 8

8 - 6 = 2

they will have 2 feet of fabric left over

3x4=12
12-4=8
8-6=2 so the answer is 2 feet

Z What is the value of x? 45° ni (2x - 5)​

Answers

Ok this is answer you be the answer an to eat and see

I don’t get what I’m supposed to do can someone explain?

Answers

Answer:

You will have to create a few models about how light and mechanical waves are absorbed and reflected through different substances. Then you will make two brief paragraphs... the first one explaining the similarities and differences of the light waves on the materials, the second will explain why the materials with their specific properties are suited for their specific functions.

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

State if the two triangles are congruent. If they are, state how you know.

Answers

Answer: A
All sides are the same. The sides that have 1 red line are the same and the sides that have 2 red lines are the same. Also, the two triangles share a common line in the middle

Answer:

A

Step-by-step explanation:

All sizes are equal and the all corresponding angles are also equal

100 - 4x = 20 + 6x; x=

Answers

Answer:

8 = x

Step-by-step explanation:

100 - 4x = 20 + 6x

100 = 20 + 10x

80 = 10x

8 = x

has the coordinates given.

H (0, 0), I (-3, -1), J (-1, -2)

Find the new coordinates after the translation 3 unit to the right and 2 units down.

Answers

Answer:

H'(3, -2)I'(0, -3)J'(2, -4)

Step-by-step explanation:

The x-coordinate of a point is the number units to the right of the y-axis where the point may be found. Translating the point to the right adds to the x-coordinate. Translating to the left subtracts from the x-coordinate.

The y-coordinate of a point is the number of units above the x-axis where the point may be found. Translating the point upward adds to the y-coordinate. Translating downward subtracts from the y-coordinate.

__

When a point is translated 3 units right and 2 units down, its x-coordinate has 3 added to it, and its y-coordinate has 2 subtracted from it. We can summarize the transformation like this:

  (x, y) ⇒ (x +3, y -2)

Applying this transformation to the given points, we find ...

  H(0, 0) ⇒ H'(3, -2)

  I(-3, -1) ⇒ I'(0, -3)

  J(-1, -2) ⇒ J'(2, -4)

HELP PLEASE. BRAINIEST​

Answers

A
50 cents to 2.50 *I think I am not sure my sister has the same problem she said that one*

Two cars raced at a race track. The faster car traveled 20 mph faster than the slower car. In the time that the slower car traveled 165 miles, the faster car traveled 225 miles. If the speeds of the cars remained constant, how fast did the slower car travel during the race? Distance (mi) 165 Rate (mph) Time (h) 165 Slower Car Faster Car 225 + 20 225 + 20 55 mph 60 mph 75 mph 130 mph ​

Answers

Answer:

A.

Step-by-step explanation:

t=d/s

The answer is 55 miles

Answer:

55 miles per hour

Step-by-step explanation:

On the real number line the origin is assigned the number​ ___.

Answers

Answer:

0

Step-by-step explanation:

The points on a number line are called coordinates. The zero point is called the origin. The numbers to the right of the origin are positive numbers; the numbers to the left of the origin are negative numbers.

Answer:

0

Step-by-step explanation:

Evaluate each expression

Answers

Answer:

See below.

Step-by-step explanation:

Question 1

a = -2 and x = -6

| a + x | / 2 - | a - x | / 2

| -2 + -6 | / 2 - | -2 + 6 | / 2

| -8 | / 2 - | 4 | / 2

8/2 - 4/2

= 4/2

= 2

Question 2

a = -5, b = 4, c = 1, d = -3

| a - b | - | c + d |

| -5 - 4 | - | 1 - 3 |

| -9 | - | -2 |

= 9 - 2

= 7

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