Suppose you invest $2200 at an annual interest rate of 5.3% compounded continuously. How much will you have in the account after 7 years?

Answers

Answer 1

Step-by-step explanation:

step 1. Let's call the amount of money A.

step 2. A = A¡e^(rt) (continuously compounding equation)

step 3. A = A¡e^(rt). A¡ = initial amount. r = rate, t = time.

step 4. A = 2200e^((.053)(7)

step 5. A = $3188.20


Related Questions

Explain the meaning of F(30) = 8,950 in this situation

Answers

Answer:

when you have something like f(x)=... that means

f means function

and every time you see an x or the variable in the parenthesis you plug in for that so it's f(x) =3x+1 then f(2)= 3x+1 every time you see x you plug in 2

I need help I don’t get how to solve it plsss help me

Answers

Answer:

Step-by-step explanation:

They give you the equation, you must substitute the x values into the equation to find the y values.

Example on top equation:

y=-5x so the y values would be

y=-5(-1)=5

y=-5(0)=0

y=-5(1)=-5

y=-5(2)=-10

Arial
14
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BI U A
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A new Apple Watch costs $369. If the watch is
on sale for 15% off, what is the sale price?

Answers

Answer:

the answer would be 55.39

Solve the formula C = d for d.

Answers

To solve this for D you divide both sides by pi and get d=c/pi

This another nae for fraction or quotient.It can also be written in the forms 'a:b' and a to b', where a and b are numbers.

Answers

Answer:

The answer is "Ratio".

Step-by-step explanation:

A ratio indicates how often a number contains a different number. Whenever the calculation of two quantities, as often happens, is indeed a measurement ratio without dimension. It is called a quotient of two volumes, which is calculated by using various units.

It is the relationship among two or more elements of financial reports is calculated by ratios. These also are efficient when the outcomes are presented several times. It allows you to monitor the performance of your company over time and to detect signs of injury.

Simplify (6w + 5.2) + (12.2 + 2.3w)

Answers

Answer:

The answer is 8.3 W + 17.4

If you click on the image it will show you how to solve the equation and I hope this helps you.

Janice works at the We Are Cells. She earns $650 per week plus a 15% commission on all new cell phone contracts that she sells each week. Write a linear function that represents the weekly salary.

Answers

Answer:

y=650+15x

Step-by-step explanation:

y=mx+b, b is starting amount, m is the multiplier for the x

uwu

28+c=36 what is the value of c

Answers

Answer:

to find the value of c, isolate it.

28 + c = 36

c = 36 - 28

c = 8

now, to check:

28 + 8 = 36 ✓

28+c=36
-28 -28
subtract 28 to get c by itself

c= 36-28

c= 8

hope this helps!

Dan was thinking of a number. Dan adds 10 to it, then doubles it and gets an answer of 56.6. What was the original number

Answers

Answer:

23.3 is the answer to this question

Kris has 3 daughters who all live in different cities across Georgia. She wants to live somewhere that is an equal distance from each of her daughters. She mapped out the 3 cities and drew a triangle connecting them. How can she find a point on the map that is an equal distance from all 3 cities?


construct the incenter

construct the orthocenter

estimate the best place

construct the circumcenter

Answers

Answer: D) construct the circumcenter

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

Explanation:

Consider triangle ABC. The vertex points are at A,B,C. These represent the three cities in which the three different daughters live. Constructing the circumcenter will produce a circle such that all three points A,B,C are on that circle. Let's say that D is the center of that circle.

This means that AD, BD, CD are all radii of this same circle. Radii of the same circle are the same length, which is why point D is equally distant from A,B,C. If the mother lives at point D, then she will travel the same distance to visit any three of her daughters. See the note below.

To construct the circumcenter, we form perpendicular bisectors to segments AB, BC and AC. Technically you only need two of them. All three of these perpendicular bisectors intersect at point D.

-------------

Note: Keep in mind that roads aren't completely straight, so that means we'll have to factor in the curvature of each road. But to keep things simple, we assume each road is a straight line segment.

write the slope intercept form of the equation with the given slope and y-intercept.
1. Slope= -10, y- intercept = -5 2. Slope= - 9/5, y- intercept = -4
3.Slope= -5/4, y- intercept = 5 4. Slope= 7, y- intercept = 5

Answers

Answer:

1.   y = -10x - 5

2.  [tex]y = \frac{9}{5}x - 4[/tex]

3.  [tex]y = -\frac{5}{4}x + 5[/tex]

4. y = 7x + 5

Step-by-step explanation:

use y = mx + b

m = slope

b = y-intercept

1. Slope= -10, y- intercept = -5

   y = -10x - 5

2. Slope= - 9/5, y- intercept = -4

   [tex]y = \frac{9}{5}x - 4[/tex]

3. Slope= -5/4, y- intercept = 5

    [tex]y = -\frac{5}{4}x + 5[/tex]

4. Slope= 7, y- intercept = 5

    y = 7x + 5

An isosceles triangle has an angle that measures 56º. Which other angles could be in that
isosceles triangle? Choose all that apply.
HELP PLEASE I NEED THIS

Answers

Answer:

The other angles can be 56°, 68°, or 62°.

Step-by-step explanation:

If the 56° angle is one of the two congruent angles, then the remaining angles are 56° and 180-2(56) = 68°

If the is 56° Is not congruent to either of the other angles, then each of the remaining two angles is (180-56)/2 = 62°.

The other angles can be 56°, 68°, or 62°.



PLEASE HELPPPPPPPP....?.......
If a+b=15 and ab=54 then find
1)
[tex] {a}^{2} + {b}^{2} [/tex]
2)
[tex](a - b )^{2} [/tex]
3)
[tex]a ^{2} - {b}^{2} [/tex]

Answers

Answer:

a = 9

b = 6

I hope you can do the rest yoyrself, as I coulsnt find how to type it out ;-;

Answer:

1) 117

2) 9

3) 45 or -45

Step-by-step explanation:

a=9

b=6

1) a²+b²=9²+6²=81+36=117

2) (a-b)²=(9-6)²=3²=9

3) a²-b²=81-36=45

It’s also possible that a=6 and b=9, in which case

1) (same)

2) (same)

3) 36-81=-45

3(2h+5)+4 so i dont get what it is, can someone help please?

Answers

Answer:

An linear equation in one variable

Step-by-step explanation:

Variable:h

Equation:6h+19

Sam's two new aquariums each hold exactly 200 gallons of water. One aquarium will hold small fish and the other will hold large fish. Now he needs new fish for his aquariums.

•He will buy 5 small fish for every 10 gallons of water in the aquarium.
•He will buy 8 large fish for every 40 gallons of water in the aquarium.

What is the total number of fish Sam will have? What will be the ratio of Sam's small fish to large fish? Show or explain the steps you used to solve this problem.

Answers

In the 1st one he will have 100 small fishes. 200/10=20. 20x5=100
In the 2nd one he will have 40 large fishes. 200/40=5. 5x8=40
Sam will have a total of 140 fishes. 100+40=140
Ratio=40/100=4:10

can someone please help its due soon.ill give brainliest!

Answers

Answer:

z = 17.5

Step-by-step explanation:

To get the value of z, we use the bisector theorem

7/z = 6/15

6z = 7 * 15

6z = 105

z = 105/6

z = 17.5

find the length of side x in simplest radical form with a rational denominator 60 30 x 2

Answers

Answer:

x = √3

Step-by-step explanation:

Looking at the given triangle,

x is the adjacent side while 2 represents the hypotenuse side.

Now, from trigonometric ratios, we know that;

Adjacent/hypotenuse = cos θ

The angle here will be 30°

Thus;

x/2 = cos 30°

We are told to find x in simplest radical form with a rational denominator.

Thus means we will use the surf value of the angle.

cos 30° in surd form = (√3)/2

Thus;

x/2 = (√3)/2

x = 2 × (√3)/2

x = (√3)/1

x = √3

Suppose someone gives you 6 to 1 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win 6 dollars if you succeed and lose 1 dollar if you fail. What is the expected value of this game to you. What can you expect if you play 200 times

Answers

Answer:

0.75 ;

150

Step-by-step explanation:

Probability of rolling two even numbers :

{1, 2, 3, 4, 5, 6}

P(even) = 3 / 6 = 1/2

From a roll of 2 dice :

P(even) * P(even) = 1/2 * 1/2 = 1/4 = 0.25

P(not even) = 1 - 1/4 = 3/4

X : ____ 6 _______ - 1

P(x) ____ 0.25 ____ 0.75

Expected value :

Σx*p(x) = (6*0.25) + (-1 * 0.75)

= 1.50 - 0.75

= 0.75

If 200 games are played :, n = 200

Expected value * n

0.75 * 200

= 150

If you answer I’ll make you the brainiest

Answers

Answer:

the second one

Step-by-step explanation:

if it is right pls mark brainliest thanks :)

Find all of the roots of the following quartic equation:
h(x)= x^4 - 2x^3 - 9x^2 + 18x

Answers

x4)-(2•(x3)))-32x2)+18x
STEP
2
:

Equation at the end of step
2
:

(((x4) - 2x3) - 32x2) + 18x
STEP
3
:

STEP
4
:
Pulling out like terms

4.1 Pull out like factors :

x4 - 2x3 - 9x2 + 18x =

x • (x3 - 2x2 - 9x + 18)

Checking for a perfect cube :

4.2 x3 - 2x2 - 9x + 18 is not a perfect cube

Trying to factor by pulling out :

4.3 Factoring: x3 - 2x2 - 9x + 18

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -9x + 18
Group 2: x3 - 2x2

Pull out from each group separately :

Group 1: (x - 2) • (-9)
Group 2: (x - 2) • (x2)
-------------------
Add up the two groups :
(x - 2) • (x2 - 9)
Which is the desired factorization

Trying to factor as a Difference of Squares:

4.4 Factoring: x2 - 9

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3
Check : x2 is the square of x1

Factorization is : (x + 3) • (x - 3)

Final result :
x • (x + 3) • (x - 3) • (x - 2)

I need help with this, please. Someone?

Answers

Answer:

6:8:10

Step-by-step explanation:

-10(d+1)=-14
What is the value of d

Answers

Answer:

[tex]d=\frac{2}{5}[/tex]

Step-by-step explanation:

-10 (d+1) = -14

-10d -10 = -14

-10d = -14 + 10

-10d = -4

d = 4/10

d= 2/5

D=2/5

Decimal form : d= 0.4

The length, in millimeters of each side of a square shaped electronic chip is a rational number. What statement is true about the length of the diagonal of the chip

Answers

Answer:

The diagonal is irrational because it is a product of a rational and an irrational number

Step-by-step explanation:

The options are not given. However, the question is still answerable.

Given

Shape: Square

Length: Rational

Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.

Having said that:

The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.

[tex]d^2 = l^2 + l^2[/tex]

[tex]d^2 = 2l^2[/tex]

Take positive square root of both sides

[tex]d = \sqrt{2l^2}[/tex]

Split:

[tex]d = \sqrt{2} * \sqrt{l^2}[/tex]

[tex]d = \sqrt{2} *l[/tex]

Recall that the side length (l) is rational.

However, [tex]\sqrt 2[/tex] is irrational.

So, the product of l and [tex]\sqrt 2[/tex] will be irrational

Hence:

The diagonal is irrational

please answer quick! I will give brainliest! The figure below shows the front side of a purse in the shape of a trapezoid. Find the area of the trapezoid. Be sure to use the proper area formula from your lesson notes!
Make sure to show your work and explain the steps you took in solving the problem using the words “first,” “next,” and “last.”

Answers

Answer:

the area is 110. the formula for a trapezoid is A= a+b/2 × h.

A= a+b/2 ×h= A= 9+13/2×10=110

Use this and explain yourself

What is the value of z?
=

Answers

Answer:

[tex]z=133/6[/tex]

Step-by-step explanation:

All angles in a triangle added up are equal to 180 degrees.

We can make the equation:

[tex]2z+4z+47=180\\6z+47=180\\6z=133\\z=133/6[/tex]

Answer:

Step-by-step explanation:

We have 3 angles, 2z, 4z, 42

the sum of these angles equal to 180

2z+4z+42=180

6z=180-42

6z=138

z=138/6=23

z=23

ASAP PLEASE: 16 + 11(-2)2 - 25(⅖) =

Answers

Answer:

-38

Step-by-step explanation:

The length of a rectangle is 3 times as big as the width. If beth increases each dimension by 4, write an expression to represent the new area, a, of the rectangle.

Answers

Answer: See explanation

Step-by-step explanation:

Let the width of the rectangle be x.

The length of a rectangle is 3 times as big as the width. Length = 3x

New width = x + 4

New length = 3x + 4

The new area will be:

a = (3x + 4)(x + 4)

a = 3x² + 12x + 4x + 16

a = 3x² + 16x + 16

Find the value of x.

Answers

Answer:

Step-by-step explanation:

8/18=x/24

18x=192

x=10.667(correct to three decimal places)

what is the appoximate distance between points d and e round your answer to the nearest hundreth

Answers

The distance between the 2 points is approximately 8.25
What she or he said have a good day

a(-6)=-42
solve for a

Answers

Answer:

7

Step-by-step explanation:

Answer:

A = 7

Step-by-step explanation:

You would take -42/-6 because that will tell you what x -6=-42

-42/-6 = 7

Also. you have to remember that a negative divided or multiplied by a negative = a positive

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