Jacob is going to invest in an account paying an interest rate of 2.6% compounded continuously. How much would Jacob need to invest, to the nearest dollar, for the value of the account to reach $10,500 in 18 years?

Answers

Answer 1
To awnser this question we need to put this equation into the compounded continuously formula: A= Pe^rt

A: Total 10,500
P: Starting amount
R: Rate 2.6%
T: Time 18

To put the rate in the correct form divide it by 1000. (2.6/1000)

10,500 = Pe^0.026(18)
10,500= Pe^.468

Do Algebra and you get
P= 6,575.66
Thats your awnser.

Related Questions

In your own words, explain the difference of independent and dependent events.

Answers

Answer:

Independent means not having to depend on other people, i am myself and dont need no body and being dependent I will need someone by my side because i can't do it alone without some one by my side.

Step-by-step explanation:

The diameter of a circle is 2 inches. What is the circle's area?
d=2 in

Answers

Answer: 1pi or 3.14

Step-by-step explanation:

The equation for finding the area of a circle is \(\pi r^2\)since the radius is half of the diameter \(r=1\). Since r squared is also 1, the next thing you need to do is plug one into the equation, which, when solved, leaves you 1pi or 3.14.

I hope this helps!

Step-by-step explanation:

this is how you solve it :)

The diameter of a circle is 2 inches. What is the circle's area?d=2 in

Question 10 of 10
To model some data, Pat ran an exponential regression and found the
regression equation to be y = 0.496.1.3%,
The scatterplot and residual plot are shown.
Scatterplot
Residual plot
y
4
2
Select the true statements.
O A. The model is a good fit because the patterns in the plots are both
curves.
B. The points in the scatterplot follow a line, so a linear model would
fit the data better.
O C. The residual plot changes direction, so a quadratic model would
fit the data better.
D. The model is not a good fit because there is a pattern in the
residual plot.

Question 10 of 10To model some data, Pat ran an exponential regression and found theregression equation

Answers

Answer:

B.)The points in the scatterplot follow a line, so a linear model would fit the data better

A.)The model is not a good fit because there is a pattern in the residual plot.

Step-by-step explanation:

The linear model would best fit the scatter plot while the quadratic model would fit the residual plot. The true statements are: B and C.

What is a Linear Model and a Quadratic Model?

A linear model is appropriate for data points that lie along a straight line on graph. If the line is not straight but curved and changes direction, a quadratic model is a better model for such data.

Thus, since the data points on the scatter plot are on a straight line, a linear model would fit the data.

For the residual plot that changes direction, a quadratic model would better fit the data.

The true statements are therefore: B and C.

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find the area of the parallelogram!! will give brainliest

A. 62.5 km2
B. 31.1 km2
C. 109.2 km2
D. 54.6 km2

find the area of the parallelogram!! will give brainliest A. 62.5 km2B. 31.1 km2C. 109.2 km2D. 54.6 km2

Answers

Answer:B


Reason:I looked it up ;)

Find sin theta and tan theta if cos theta = 3/5, assuming that 0

Answers

Answer:

45

Step-by-step explanation:

try it

it may help u ?

please

Tyler claims that because he started painting first he will finish painting his side of the fence before Benito finishes painting his side. Is this true? Explain

Answers

Answer:

but

Step-by-step explanation:

yrge sksue dnd djd d d. r e g g h a s. v j u r d. d c g y t

Tyler's claim about finishing his painting first is False because it will take Benito 10 minutes while Tyler will require over 11 minutes to finish up his painting despite starting before Benito.

Size of fence = 150 feet

Benito's rate = 15 ft/min

Tyler's rate = 11 ft/ min

Size already painted by Tyler when Benito started = 39/2 = 19.5 ft

Portion of fence left for Tyler to paint when Benito started = (150 - 19.5) = 130.5 feets

Time required for Tyler to finish :

Time required = 130.5 ÷ 11 = 11.863 minutes

Time required for Benito to finish :

Time required = 150 ÷ 15 = 10 minutes

Time required for Benito to complete his painting is lesser than Tyler's (10 < 11.863)

Hence, Tyler's claim is False

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Tyler claims that because he started painting first he will finish painting his side of the fence before

-4p > -60. p (>,<,=) (?) Select the inequality symbol and enter a value to represent the solution to the inequality.

Answers

The inequality is p < 15.

To solve this inequality, you can start by dividing both sides by -4. However, since you are dividing by a negative number, you need to flip the inequality sign.

So, you get:

p < 15

This means that any value of p that is less than 15 would satisfy the inequality. For example, if you plug in p = 10, you get:

-4(10) > -60

-40 > -60

which is true, so p = 10 is a valid solution to the inequality.

Answer

p < 15

In-depth explanation

To solve the inequality, we need to divide each side by -4 :

-4p > -60

p < 15 *

*I reversed the sign of the inequality, because I have divided both sides by a negative number. In inequalities, whenever each side is multiplied or divided by a negative, the inequality sign needs to be reversed.

Therefore, p < 15

Whoever answers correctly gets brainlist.

Whoever answers correctly gets brainlist.

Answers

Answer:

1.- 4/5 + 5/12= 1  and 13/60

2.- 5/6 + 6/12= 1 and 1/3

3.- 1/3 + 2/6= 2/3

4.- 7/8 + 8/10=  1 and 27/40

A bird is flying at a constant rate.

This equation y = 8x + 15 can be used to represent this situation, where y is the bird's elevation in meters and x is the number of minutes the bird has been flying.

Which statement best describes the bird's elevation, given this equation?


The bird started at a height of 15 meters and is ascending at 8 meters per minute.

The bird started at a height of 15 meters and is descending at 8 meters per minute.

The bird started at a height of 8 meters and is descending at 15 meters per minute.

The bird started at a height of 8 meters and is ascending at 15 meters per minute.

Answers

Answer:

It is the first one 15 is the y intercept slope 8/1

The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), what are the
coordinates of B?

Answers

The midpoint of AB is M(-4,2). If the coordinates of A are (-7,3), and the coordinates of B is (-1, 1).

To find the coordinates of point B, we can use the midpoint formula, which states that the coordinates of the midpoint between two points (A and B) can be found by averaging the corresponding coordinates.

Let's denote the coordinates of point A as (x1, y1) and the coordinates of point B as (x2, y2). The midpoint M is given as (-4, 2).

Using the midpoint formula, we can set up the following equations:

(x1 + x2) / 2 = -4

(y1 + y2) / 2 = 2

Substituting the coordinates of point A (-7, 3), we have:

(-7 + x2) / 2 = -4

(3 + y2) / 2 = 2

Simplifying the equations:

-7 + x2 = -8

3 + y2 = 4

Solving for x2 and y2:

x2 = -8 + 7 = -1

y2 = 4 - 3 = 1

Therefore, the coordinates of point B are (-1, 1).

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Determine whether the function is linear or quadratic.
y = (x + 1)(8x - 8) - 8x2
a) Linear
b) Quadratic

Answers

Answer:

it's a linear

since when you expand the equation (x+1)(8x-8) the x is equal to zero which is left for y to be the subject

8x²-24= y

Katelyn had 2 dogs and 3 cats. Which of the following shows the ratio written correctly for the number of dogs to cats?

A) 3:2
B) 3-2
C) 2:3
D) 3 x 2

Answers

Answer:

2:3

Step-by-step explanation:

Ratio is indicated by :

Its dogs to cats, right so ratio is number of dogs:number of cats which is 2:3

Hope this helps plz mark brainliest if correct :D

Answer:

2:3

Step-by-step explanation:

2 is first and 3 is the second number so you put them in order

Convert to decimal form: 1.118×10−6.

Answers

Answer: 1.118*10-6=5.18

in the u.s government a memeber if the senate serves for 4 years longer than a member of the House of Representatives. If a member of the House of Representatives serves for h years, write an expression for how many years a member of the senate serves .

Answers

A member of the senate will serve for (h+4) years.

An expression, in mathematics, is a finite set of combinations and/ or numbers and variables that accurately represents the the context in question. When two or more expressions are connected using the equality sign then an equation is formed.

Here, we are given that in the US government a member of the senate serves for 4 years longer than a member of the House of Representatives.

Also the House of Representatives serves for- h years

Thus, the number of years a member of the Senate will serve will be 4 more than the number h

= h + 4

Thus, a member of the senate serves for (h+4) years.

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help, i will do brainliest!!!
a)
Four gallons of water weigh 33.4 lb
How much do 7.5 gallons of water weigh?
b)
Four gallons of water weigh 33.4 lb
Find the constant of variation.

Answers

Answer:

a) 62.625 lb

b) 8.35

Step-by-step explanation:

a)

Use a proportion.

4 gal is to 33.4 lb as 7.5 gal is to x lb.

4/33.4 = 7.5/x

4x = 33.4 * 7.5

4x = 250.5

x = 62.625

Answer: 62.625 lb

b)

33.4/4 = 8.35

1) Cost of 7.5 gallons of water = 62.63 lb

2) The constant of variation = 8.35 lb

We have to given that,

1) Cost of 4 gallons = 33.4 lb

2) And, Cost of 4 gallon of water = 33.4 lb

Hence, We can simplify it as,

1) Since, Cost of 4 gallons = 33.4 lb

Hence, Cost of 7.5 gallons = 7.5 × 33.4 / 4 lb

                                         = 62.63 lb

2) Since, Cost of 4 gallon of water = 33.4 lb

Hence,  the constant of variation = 33.4 / 4

                                                   = 8.35

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a book has 598 pages. it is approximately 3cm thick. a bookshelf is 75 cm long and full of books. estimate the total number of pages in the books on the shelf​

Answers

You do 75/3 then multiply that number by 598

2log12 3 + 4log12 2 simplifying

Answers

Hello, I was happy to solve the problem. If you find a bug, post in the comments or click on the report, I will see it and try to fix it as soon as possible.

The answer to this problem: 2

2log12 3 + 4log12 2 simplifying

-s^2+2s=0 Separate the two values with a comma.

Answers

Answer:

s = 0     OR     s = 2

Step-by-step explanation:

=> \(-s^2+2s = 0\)

=> \(-s(s-2)=0\)

So, Either:

=> -s = 0   OR    s-2 = 0

=> s = 0     OR     s = 2

Answer:

s=0,2

Step-by-step explanation:

-s^2+2s=0

Factor out -s

-s ( s-2) =0

Using the zero product property

-s =0  s-2 =0

s=0   s=2

what is the sum 3/x+9+5/x-9

Answers

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

The length of a rectangle is
4
inches more than
4
times the width. If the area of the rectangle is
168
square inches, find the length and the width.

Answers

Answer:42

Step-by-step explanation:

Let P(x) be a predicate in the domain consisting of just the numbers 0 and 1. Let p be the statement P(0) and let q be the statement P(1).
(a) Write (∀x)P(x) as a propositional logic formula using p and q.
(b) Write (Ǝx)P(x) as a propositional logic formula using p and q.
(c) In this situation, which derivation rule from propositional logic corresponds to the universal and existential negation rules of predicate logic?

Answers

(∀x)P(x) can be written as p ∧ q, (Ǝx)P(x) can be written as ¬p ∨ ¬q, and the universal and existential negation rules of predicate logic correspond to the DeMorgan's law of propositional logic, which states that ¬(p ∨ q) = ¬p ∧ ¬q.

a) The statement (∀x)P(x) states that P(x) is true for all x in the domain, which consists of just 0 and 1. So, if P(0) is true, represented by p, and P(1) is true, represented by q, then (∀x)P(x) is true. Therefore, (∀x)P(x) can be written as p ∧ q.

b) The statement (Ǝx)P(x) states that P(x) is true for at least one x in the domain, which consists of just 0 and 1. So, if either P(0) is true, represented by p, or P(1) is true, represented by q, then (Ǝx)P(x) is true. Therefore, (Ǝx)P(x) can be written as p ∨ q.

c) The negation of (∀x)P(x), represented as ¬(∀x)P(x), is equivalent to the negation of (∀x)P(x) in predicate logic, represented as (Ǝx)¬P(x). This corresponds to DeMorgan's law of propositional logic, which states that ¬(p ∧ q) = ¬p ∨ ¬q.

Similarly, the negation of (Ǝx)P(x), represented as ¬(Ǝx)P(x), is equivalent to the negation of (Ǝx)P(x) in predicate logic, represented as (∀x)¬P(x). This corresponds to DeMorgan's law of propositional logic, which states that ¬(p ∨ q) = ¬p ∧ ¬q.

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A car is purchased for $26,500 . After each year, the resale value decreases by 25% . What will the resale value be after 4 years?

Answers

Answer:

the resale value after 4 years would be 11,812.5

Step-by-step explanation:

I'm sorry if this is wrong this is based on what I know :)

Answer:

The answer to your question is $8,384.77

Step-by-step explanation:

Average annual value lost: $12,913.57

First year depreciation: $6,625.00

Total depreciation: $18,115.23

Total depreciation percentage: 68.36%

Value of vehicle at end of ownership period: $8,384.77

I hope this helps and have a wonderful day!

What is the volume of the shape below

What is the volume of the shape below

Answers

The volume of the given figure is 1176 cubic cm.

The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).

The volume of the figure is calculated as,

Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )

Volume = 1176 Cubic cm

Hence, the volume of the figure will be equal to 1176 Cubic cm.

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What is the value of the expression m - when m = 3?
1/15
13/15
23/15

Answers

The value of the expression when m = 3 is 13/15. So option(2) is correct.

The equation is defined in its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, x + 3 = 4 is an equation, in which x + 3 and 4 are two expressions separated by an 'equal' sign.

Given the expression as shown below:

2/5 m - 1/3

If m is equal to 3, then the expression will be;

2/5(3) - 1/3

6/5 - 1/3

Find the LCM

6/5 - 1/3 = 3(6)-5/15

6/5 - 1/3 = 18-5/15

6/5 - 1/3 = 13/15

Therefore the value of the expression if m = 3 is 13/15

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A new car is bought for $100,000. If the annual depreciation is 10%, find the value of the car after 3 years.

Remaining Amount = 100,000(1 -0.1)3

Answers

The value of the car after 3 years is $79, 000

How to determine the value

To determine the value, we have to use the formula;

Value = Initial value × (1 - Depreciation rate)ⁿ

Substitute the values given, we get;

Remaining value after 3 years = $100,000 × (1 - 0.10)³

Expand the bracket, we get;

Value after 3 years = $100,000 × (0.90)³

Find the cube value and substitute, we have;

Value after 3 years = $100,000 × 0.729

Multiply the values, we have;

Value after 3 years = $72,900

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the greater of two consecutive even integers is 20 more than twice the smaller. find the integers

Answers

9514 1404 393

Answer:

  -19, -18

Step-by-step explanation:

Let x represent the smaller integer. Then the larger is x+1 and their relationship is ...

  x +1 = 20 + 2x

  -19 = x . . . . . . . . . subtract x+20 from both sides.

The smaller integer is -19; the larger is -18.

Solve the following equation algebraically:
3x^2=12

a.+3
b. +2
C.+3.5
d. +1.5

Answers

3x^2=12
(3x)^2 =12
9x^2= 12
X= 1.5

Answer:

Step-by-step explanation:

answer is c just took test

please help stuck on this for 30 minutes

please help stuck on this for 30 minutes

Answers

Answer:

look at attachment

Step-by-step explanation:

please help stuck on this for 30 minutes

24°
Solve for c.
= [?]°
C =
60% C
Enter

24Solve for c.= [?]C =60% CEnter

Answers

Answer:

  96°

Step-by-step explanation:

You want the value of angle C in the diagram with two parallel lines and a triangle between them.

Angle sum theorem

The sum of angles in a triangle is 180°, so the missing angle in the triangle is ...

  180° -60° -24° = 96°

Alternate interior angles

Angle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:

  C = 96°

<95141404393>

what fraction of one day is 36 mins​

Answers

Answer:

1 day = 1440min

so 36min of a day = 36/1440 = 1/40

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