How much should you invest in an account that pays 6% annual interest compounded continuously if you want exactly $8000 after four years?

Answers

Answer 1

Answer:

$6239

Step-by-step explanation:

A(t) = P•e^rt

Substitute with 6% 0.06, t with 4 and A(t) with 8,000 to find the value of P.

8, 000 = P•e^0.06•4

8, 000 = P•e^0.24

8, 000 = P•1.27

P = 6, 293


Related Questions

What is a square root?

Answers

Answer:  the factor that we can multiply by itself to get that number

Step-by-step explanation:

For example, the square root of 4, is 2 because 2*2 is 4.

Answer:

the root of the number- by finding the square root you're finding the number you have to multiply by itself to get the number you were give

Step-by-step explanation:

PLSSSS HELP

Choose ALL answers that describe the polygon.

Answers

Answer:

RSTU is a parallelogram, quadrilateral, rectangle, rhombus, and square. NOT trapezoid.

Step-by-step explanation:

The shape has four sides, so it's a quadrilateral.

It has four equal sides so its a rhombus.

It has four right angles so its a rectangle.

It has four equal sides AND right angles so its a square.

And if all the sides are parallel (well, two pairs of parallel sides) its a parallelogram.

Jaxson bought a pair of sunglasses online for $71. He used a coupon code to get a 20% discount. The website also applied a 5% processing fee to the price after the discount. How much was the discount, in dollars and cents?

Answers

Answer:

$17.75

Step-by-step explanation:

$71-($71×20%)

$71-$14.2

=$56.8

after coupon code

$56.8-($56.8×5%)

=$56.8-$2.84

=$53.96 about .

then applied a 5% processing fee online.

5 7
What is the slope of the equation Y=74-7?
=
O -7
o -
O
O 5

Answers

Hey there!

y = 74 - 7

START at 74 and go back 7 spaces to your left and you should be left on your result of the y-value

y = 67


Therefore, your answer is: y = 67


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

A beach volleyball court is 9 meters wide and 18 meters long. The rope used for the boundary line costs $1.67 per meter. How much would it cost to buy a new boundary line for the court?

Answers

Answer:

$90.18

Step-by-step explanation:
Since there are two long sides and two wide sides, you would double them. Add them together, and multiply by price

9 + 9 = 18
18 + 18 36
18 + 36 = 54
54 x 1.67 = 90.18

please help figure out the range

Answers

Answer:

5

Step-by-step explanation:

The range is the highest value number minus the lowest value number. 9 minus 4 is 5.

What is the square root of 546 divided by 67 (100 points!)

Round answer to 2 decimal points

Answers

Answer: the answer is 0.35 because

Square root of 546 is 23.3666428911

23.3666428911 divided by 67 is 0.34875586404

0.34875586404 rounded to 2 decimal points is 0.34875586404

the answer I had is 0.3487. first of all you have to find the square root of 546 which is 23.366 then you divide it by 67 which will give you 0.3487

Help, what is the area of this figure? (Don’t write a big explanation!!, i really need this quick, a picture or just numbers u used is fine)

Answers

Answer:

146 m²

Area of triangle:

1/2 * base * height1/2 * 16 * 756 m²

Area of upper rectangle:

Length * Width8 * 972 m²

Area of bottom rectangle:

Length * Width6 * 318 m²

Total area:

18 m² + 72 m² + 56 m²146 m²

Answer:

146 m²

Step-by-step explanation:

Divide the figure into a triangle and 2 rectangles (see attached diagram)

Formulae

Area of a triangle = 1/2 x base x heightArea of a rectangle = width x length

Triangle 1

⇒ area = 1/2 x 16 x (6 + 9 - 4 - 4)

            = 1/2 x 16 x 7

            = 56 m²

Rectangle 2

⇒ area = 3 x (6 + 9)

            = 3 x 15

            = 45 m²

Rectangle 3

⇒ area = 5 x 9

            = 45 m²

Total area

⇒ Total area = triangle 1 + rectangle 2 + rectangle 3

                      = 56 + 45 + 45

                      = 146 m²

Help pleaseeeeeeee :)))))) and thank you! ​

Answers

Answer:

103

Step-by-step explanation:

103.3's 3 is closer to 0 than 5

One day, a person went to a horse racing area. Instead of counting the number of humans and horses, he counted 74 heads and 196 legs. How many humans and horses were there?
A. 37 humans and 98 horses
B. 24 horses and 50 humans
C. 31 horses and 74 humans
D. 24 humans and 50 horses

Answers

Answer:

the answer is a

Step-by-step explanation:

Answer:

B. 24 horses and 50 humans

Step-by-step explanation:

74 x 2 = 148

196 - 148 = 48

48/2 = 24 (number of horses)

74 heads - 24 horses = 50 humans

Please someone help!!!!
Kristine observes the top of a lookout tower from a point 220 ft from its base.

If the indicated angle of elevation measures 37º, how tall is the tower? Give your answer to the nearest tenth of a foot.

Answers

Answer:

height of the tower: 165.8 ft

use tan rule:

[tex]\sf \sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

Here:                            [ your calculator should be in degree mode [D] ]

x = 37°opposite = height of the toweradjacent = 220

Solve:

[tex]\hookrightarrow \sf \sf tan(37)= \dfrac{t}{220}[/tex]

[tex]\hookrightarrow \sf t = \sf tan(37)*220[/tex]

[tex]\hookrightarrow \sf t = 165.8 \ ft[/tex]

What is the range? ???????

Answers

Answer:

the difference between the highest and lowest values in a set of numbers.

Step-by-step explanation:

In meteorology the term virga refers to falling raindrops or ice particles that evaporate before they reach the ground. assume that a typical raindrop is spherical. starting at some time, which we can designate as t = 0, the raindrop of radius r0 falls from rest from a cloud and begins to evaporate.

Answers

If you put the particles together you get a 2 bc the particles ready

50 POINTS FOR THE CORRECT ANSWER!

Answers

f(n)=f(n-1)-3

So

f(2)

f(1)-317-314

f(3)

f(2)-314-311

f(4)

f(3)-311-38

Find the length of the third side. If necessary, round to the nearest tenth

Answers

for this equation we just use pythagorean theorem.

11^2+12^2=x^2
121+144=x^2
265=x^2
x=16.3

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use Pythagoras theorem !

[tex]\qquad \sf  \dashrightarrow \:h {}^{2} = p {}^{2} + b {}^{2} [/tex]

where,

h = hypotenuse = unknown

b = base = 11

p = perpendicular = 12

[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 12{}^{2} + 11 {}^{2} [/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 144{}^{} + 121[/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 265[/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{} = \sqrt{265}[/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{} \approx16.3[/tex]

Mr. Young is buying a house. He can spend no more than 29% of his income on monthly house payments If he earns $4,200 per month, what is the largest monthly house payment he can make?

Answers

Answer:

$1218

Step-by-step explanation:

Our info is that Mr. Young's monthly income is $4,200 per month. Now if we multiply this by .29 (the %29 percent he can spend) We get $1218

ALL of the Students at Beach Middle School voted for a trip to the zoo or the aquarium.
- 25% of the students voted for the aquarium
- 120 students voted for the zoo
What is the total number of students at Beach Middle School?

Answers

Answer:

160

Step-by-step explanation:

If there were only 2 options, all the people who didn't pick one chose the other one.

So if 25% of the people voted for the aquarium the remaing 75% voted for the zoo.

Since three times as many people voted for the zoo, we can see that 120/3=40, so 40 people chose the aquarium.

To find the total number of students, we add 120 and 40 to get 160

Solve the folllowing question-->2e+3=5

Answers

Answer:

[tex]\boxed{\sf{e=1}}[/tex]

Step-by-step explanation:

Isolate the term of e from one side of the equation.

2e+3=5

First, you subtract by 3 from both sides.

⇒ 2e+3-3=5-3

Solve.

Subtract the numbers from left to right.

⇒ 5-3=2

Rewrite the problem down.

⇒ 2e=2

Divide by 2 from both sides.

⇒ 2e/2=2/2

Solve.

Divide the numbers from left to right.

⇒ 2/2=1

⇒ e=1

Therefore, the correct answer is e=1.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

e = 1

Step-by-step explanation:

Subtract 3 both sides:

⇒ 2e + 3 = 5

⇒ 2e + 3 - 3 = 5 - 3

⇒ 2e = 2

Divide both sides by 2:

⇒ 2e = 2

⇒ 2e/2 = 2/2

e = 1

PLSS HELPP
I NEED TO FIND THE 2 SIDE LENGTHS

You are building a play pen for your pet pig. You know that you want one side to be 7 feet longer than 3 times the other
side. The area of the play pen that you want is 48 square feet. What are the dimensions of the play pen?

Answers

Check the picture below.

[tex]\textit{area of a rectangle}\\\\ A=Lw~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ w=3L+7\\ A=48 \end{cases}\implies 48=L(3L+7)\implies 48=3L^2+7L \\\\\\ 0=3L^2+7L-48\implies 0=(3L+16)(L-3) \\\\[-0.35em] ~\dotfill\\\\ 0=3L+16\implies -16=3L\implies -\cfrac{16}{3}=L \\\\[-0.35em] ~\dotfill\\\\ 0=L-3\implies 3=L~~\textit{\Large \checkmark} \\\\[-0.35em] ~\dotfill\\\\ w=3L+7\implies w=3(3)+7\implies w=16[/tex]

notice, we didn't use the negative value of "L", because the length can't be negative.

work out the next term of this quadratic sequence
6 9 15 24 _

Answers

Answer:

36

Step-by-step explanation:

Every next term is added by a multiple of 3

6 + 3 = 9

9 + ( 3 × 2 ) = 15

15 + ( 3 × 3 ) = 24

24 + ( 3 × 4 ) = 36

Answer:

36.

Step-by-step explanation:

The differenes in the terms are 3, 6, 9  so the next difference is 12.

24 + 12 = 36.

Given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function.

Answers

Answer:

you can find the aswer in the question and the in the frist sentes of the question

Step-by-step explanation:

Three $1 bills are equal to _____ cents.

Answers

Answer: 300 cents and/or pennies

Step-by-step explanation:

Please need help this question

Answers

Answer:

b they are perpendicular

Step-by-step explanation:

they intersect each other at point D

Chris invests $5,000 in a savings account that earns 2% interest per year. what would the Eqn be with a(b)^x ​

Answers

Answer:

The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.

The graph of this system of equations is which of the following?
2x + y = 6
6x + 3y = 18
Overlapping lines
Parallel lines
Intersecting lines
A curve intersecting with a line

Answers

Answer:

They are the same line. It means that they are overlapping line.

Answer:

Overlapping

Step-by-step explanation:

Divide every term of the second equation, it would be 2x + y = 6, which is the same as the first equation.

y = 2x -1, y = 3x + 5 solve

Answers

Answer:

the answer is x= -6 and y= -13

ANSWER QUESTION BELOW CORRECTLY FOR BRAINLIEST

Answers

The answer is C

Sorry if wrong

Solve this on your own and find the unit rate of miles per hour.

Answers

150mi/5hr =30 mi/hr so the answer is 30 mi/hr

LOTS OF BRAINLY POINTS HELP ASAP PLS TYSM
you are flipping a coin and you flip tails 3 out of 10 times you flipped the coin. what is the experimental probability that you flip a tails. express your answer as a simplified fraction.

Answers

Answer:

3/10

Step-by-step explanation:

So, you already have the experimental probability. The theoretical probability is 5/10, but that's not what you're lookig for.

Kim brought $39.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 4 as much as the sketchbook, and the sketchbook cost 2 3 the cost of the paint set. Kim had $4.00 left over after buying these items

Answers

Answer:

I can't get past hre, equations are attached tho

Step-by-step explanation:

Equations:

[tex]b + s + p = 35.75[/tex]

[tex]\frac{1}{4} b = s[/tex]

[tex]\frac{2}{3} s = p[/tex]

Now I used Desmos to solve this, im sure theres a way to find it the legit way but i'm too lazy. Here's the image of what the graph is like:

brush =$20.21,. sketchbook =$6.21 , paint set=$9.32

Step-by-step explanation:

let the cost of the brush=x

the cost of the sketchbook=y

the cost of the paint set= z

total money used= $39.75-$4.00

=$35.75

x= 14+y

but y=2/3z

x= 14+2/3z

14+2/3z +2/3z +z =35.75

3×14 +3×2/3z+3×2/3z×3z=3×35.75

42 +2z +2z +3z =107.25

7z=107.25-42

7z=65.25

z=65.25/7

z=$9.32

y=$2/3×9.32

y=$6.21

x=14+y

x=14+6.21

x=$20.21

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