Sal invests $16,000 at age 35. He hopes the investment will be worth $320,000 when he turns 40. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Round to the nearest tenth of a percent.

Answers

Answer 1

59.9%

Sorry I don’t have time to explain in the middle of an exam

Answer 2

The rate of growth needs to be 59.9%.

The formula used to determine the future value of an investment when interest is compounded continuously is:

FV =  A x [tex]e^{r}[/tex] x N

A= amounte = 2.7182818 N = number of years r = interest rateFV = future value

$320,000 = $16,000 x [tex]e^{r}[/tex] x 5

Divide both sides by $16,000

20 = 5[tex]e^{r}[/tex]

Take the In of both sides

In(20) = 5r

Divide both sides by 5

r = 59.9%

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Related Questions

ax + bx = 0
Solve equation for x

Answers

X=0 is the value....

Answer:

you cant have two variables

Step-by-step explanation:

please tell me the answer

Answers

I think it would be; maximum 25, minimum -15

1. What is the measure of angle 4?
2. What is the measure of angle 1?
3. What is the measure of angles 3?
4. What is measure of angle 6?
5. What is the relationship between angles 4 and 5?

Answers

1) 70
2) 85
3)63
4)20
5) same number across from each other I forgot what that was called

Answer:

bla bla bal bala bla bla bla bla hahahahhahahahhhehehhehehehheheh joke png

Farmer collected 225 eggs from his 25 chickens. If each chicken laid the same how much would each chicken had laid

Answers

Answer:c

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

225 divided by 25 is 9.

need help plzz
20 points

Answers

Answer:

42 cm

Step-by-step explanation:

Area of rectangle (shaded area):

length × breadth

length: 7 cm

breadth: 7 - 2(0.5) = 6 cm

7 × 6 = 42 cm

Answer:

42 cm is the correct answer of this one

Elvira used 4 cups of grape juice, 15 cups of cranberry juice, and 2 1 / 2 cup of pineapple juice to make punch. One liter is approximately equal to 4.23 cups. Which measurement is closest to the number of liters of punch Elvira made

A: 1:42 L
B: 10.23 L
C: 25.38
D: 1.77 L

Answers

Answer:

C

Step-by-step explanation:

Suppose A and B are points on the number line. If AB = 8 and B lies at −7, where could A be located?
Select ALL that apply.
−1
1
15
−15

Answers

Answer:

The correct answers are: 1 and -15

Step-by-step explanation:

Let a be a point on number line and b be the second point on number line.

The distance between two numbers on number line is calculate by subtracting the smaller number from larger number.

Here

AB = 8

B = -7

We have to look at the options one by one.

For A = -1

As A>B

[tex]AB = B-A = -1-(-7) = -1+7 = 6[/tex]

For A = 1

As A>B so

[tex]AB = A-B = 1-(-7) = 1+7 = 8[/tex]

So with A = 1 , AB = 8

This is one of the right answers.

For A=15

As A>B

[tex]AB = A-B = 15-(-7) = 15+7 = 22\\[/tex]

For A=-15

As B>A

[tex]AB = B-A = -7-(-15) = -7+15 = 8[/tex]

As with A=1 and A=-15, the distance between AB is 8 so these are the correct answers.

Hence,

The correct answers are: 1 and -15

y-3= 5(x - 2)

NEED HELP

Answers

Answer:

Y = 5x -7

Step-by-step explanation:

That is written in slope intercept form, which I'm assuming is what you need. If not comment on my answer.

Answer:

y = 5x - 7

Step-by-step explanation:

y-3= 5(x-2)

y-3 = 5x - 10

y=5x -7

This is the answer if you have anymore questions please ask

Chris paid $9.18 for a necklace. This amount includes a sales tax of 8%. What was the
cost of the necklace before tax?

Answers

Answer:

8.5

Step-by-step explanation:

What are the vertical asymptotes of 10/X-1​

Answers

Answer:

Enter a problem...

Algebra Examples

Popular Problems Algebra Find the Asymptotes f(x)=10/(x^2-1)

f

(

x

)

=

10

x

2

1

Find where the expression

10

x

2

1

is undefined.

x

=

1

,

x

=

1

Since

10

x

2

1

as

x

1

from the left and

10

x

2

1

as

x

1

from the right, then

x

=

1

is a vertical asymptote.

x

=

1

Since

10

x

2

1

as

x

1

from the left and

10

x

2

1

as

x

1

from the right, then

x

=

1

is a vertical asymptote.

x

=

1

List all of the vertical asymptotes:

x

=

1

,

1

Consider the rational function

R

(

x

)

=

a

x

n

b

x

m

where

n

is the degree of the numerator and

m

is the degree of the denominator.

1. If

n

<

m

, then the x-axis,

y

=

0

, is the horizontal asymptote.

2. If

n

=

m

, then the horizontal asymptote is the line

y

=

a

b

.

3. If

n

>

m

, then there is no horizontal asymptote (there is an oblique asymptote).

Find

n

and

m

.

n

=

0

m

=

2

Since

n

<

m

, the x-axis,

y

=

0

, is the horizontal asymptote.

y

=

0

There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.

No Oblique Asymptotes

This is the set of all asymptotes.

Vertical Asymptotes:

x

=

1

,

1

Horizontal Asymptotes:

y

=

0

No Oblique Asymptotes

image of graph

The vertical asymptotes of the given function are x = 1 and x = -1,

We have given the rational function is 10/(x²-1​).

We need to find the vertical asymptotes of this function.

Since Vertical asymptotes occur when the denominator of the function becomes zero and the numerator is not zero.

To determine the vertical asymptotes of the function, we need to solve the denominator for x²-1=0.

x²-1=0

x²=1

x=±√1

x=±1

Therefore, the vertical asymptotes of the given function are x = 1 and x = -1, since the denominator becomes zero at x=1 and x=-1.

To learn more about vertical asymptotes visit:

brainly.com/question/4084552

#SPJ2

Claire is painting some doors that are all the same size. She used 2 liters of paint to cobe 1 3/5 doors. How many liters of paint are needed for 1 door.?

Answers

Answer:

[tex]1 \dfrac{1}{4} \ liters[/tex]

Step-by-step explanation:

Given that:

Claire uses 2 liters of paint to cover 1 3/5 doors

Then in order for her to paint 1 door, She will need:

2 L = 1 3/5 door

x L = 1 door

[tex]x (L) = \dfrac{2 L \times 1 door }{ 1 \dfrac{3}{5} \ door}[/tex]

[tex]x (L) = \dfrac{2 L }{ 1 \dfrac{3}{5} }[/tex]

[tex]x (L) = \dfrac{2 L }{ \dfrac{8}{5} }[/tex]

[tex]x (L) = \dfrac{2 L\times 5 }{ 8 }[/tex]

[tex]x (L) = \dfrac{10 \ L }{ 8 }[/tex]

[tex]x(L) =1 \dfrac{1}{4} \ L[/tex]

What is the slope of this line?

Answers

Answer:

[tex]m=\frac{2}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, -1)

Point (4, 3)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{3+1}{4+2}[/tex]Add:                              [tex]m=\frac{4}{6}[/tex]Simplify:                       [tex]m=\frac{2}{3}[/tex]

A quality control manager is inspecting four digital scales to see if they accurately reflect a weight of 0 ounces. The table shows the weight displayed on four empty scales.

Empty Scale Weight Displays
Scale 1
–1 ounce
Scale 2
–2 ounces
Scale 3
0 ounces
Scale 4
–1 ounce

What is the average error in the scale displays?
–4 ounces
–1 ounces
0 ounces
1 ounce

Answers

Answer:

-1

Step-by-step explanation:

A card is drawn from a standard deck of 52 cards. What is the probability this card will be a king or an ace?
A. about 3.9%
B. about 7.7%
C. about 15.4%
D. about 50%

Answers

Answer:

C. about 15.4%

Step-by-step explanation:

There are 52 cards in a deck

There are 4 kings and 4 aces

so, 8/52 is the chance of getting either of those two.

8/52 is about 0.1538 or 15.38%

15.38% rounded would be 15.4%

If the shared hypotenuse between the two right triangles is 1.3 centimeters longer than the longest leg length, what is the length of the hypotenuse if the longest leg length is 5.5 centimeters?

Answers

Answer:

6.8

Step-by-step explanation:

This sounds super complicated, but all it is asking is 1.3 + 5.5, which equals 6.8.

1. Allison’s middle school team has designed t-shirts containing their team name and color. Allison and her friend Nicole have volunteered to call local stores to get an estimate on the total cost of purchasing t-shirts. Print-o-Rama charges a set-up fee, as well as a fixed amount for each shirt ordered. The total cost is shown below for the given number of shirts. Value T’s and More charges $8 per shirt. Which company should they use?

a. Does either pricing model represent a proportional relationship between the quantity of t-shirts and the total cost? Explain.

b. What is the constant of proportionality of Value T’s and More? What does it represent?

c. How much is Print-o-Rama’s set-up fee?

d. If you need to purchase 90 shirts, write a proposal to your teacher indicating which company the team should use. Be sure to support your choice. Determine the number of shirts that you need for your team.

Answers

Answer:

the numbers are missing here, so I looked for a similar question:

Print-O-Rama

# shirts    total  cost

10                $95

50             $375  

a. Does either pricing model represent a proportional relationship between the quantity of t-shirts and the total cost? Explain.

Value T’s and More offers a proportional relationship since each t-shirt costs $8 regardless of the number of t-shirts

b. What is the constant of proportionality of Value T’s and More? What does it represent?

$8 per t-shirt

f(c) = $8t

the function of total cost = $8 times the number of t-shirts ordered

c. How much is Print-o-Rama’s set-up fee?

using the high-low method

variable cost = ($375 - $95) / /50 - 10) = $7 per t-shirt

fixed cost (set-up fee) = $375 - (50 x $7) = $25

d. If you need to purchase 90 shirts, write a proposal to your teacher indicating which company the team should use. Be sure to support your choice. Determine the number of shirts that you need for your team.

purchasing 90 t-shirts at Print-o-Rama costs = $25 + (90 x $7) = $655

purchasing 90 t-shirts at Value T’s and More costs = 90 x $8 = $720

you should purchase the t-shirts at Print-o-Rama since the cost is lower.

{Please Don't Troll What value of x is in the solution set of -3x+8≥14 {Answer Choices -3,-1,0,3}

Answers

Answer:

x is less than or equal to -2

This means anything equal to or less than -2 is the solution to the ORIGINAL equation. Based on the solution set the answer is -3

Step-by-step explanation:

-3x+8 is greater than or equal to 14

    -8                                               -8

-3x is greater than or equal to 6

-3x/-3                                         6/-3

*THIS WILL CAUSE US TO FLIP THE INEQUALITY SYMBOL AS WE DIVIDED BY A NEGATIVE NUMBER

x is less than or equal to -2

This means anything equal to or less than -2 is the solution to the ORIGINAL equation

Based on the solution set the answer is -3

Hope this helps!

Stanley has a part time job planting flowers at the green thumb green house. He earns $11.40 per hour. If he worked 13.5 hours this week, how much did her earn

Answers

Equation: 11.40x
13.5 = x
11.40 * 13.5 = $153.90

Vivian earned $540 last month. She saved 30% of this money. How much did she save?

Answers

Answer:

$162

Step-by-step explanation:

Step 1: Multiply 540 by .3 (convert 30% to a decimal)

540 x 0.3= 162

1 point
The cost for 8 tickets if $84. At this
rate, 15 tickets will cost a total of
O $105.50
O $150.00
O $150.50
O $157.00
$157.50

Answers

157.50!!!!!!!!!!!!!!!!!!!!!!!!!! Last oneee

Choose the representations or descriptions that model the relation provided in each item. For each relation, select all situations that apply.


x -2 0 2 4
f(x) 4 0 4 16


a The relation is a function.
b f( x) = -2 x
c f(4)= -2
d domain: {-2, 0, 2, 4}
e The relation is not a function.
f f( x) = x2

Answers

It is B and D because it is the only one that matches the input and outputs. D shows a perfect graph of the points while B shows the points themselves. They cannot be a linear function since they are not linear so it is not E or F.

can someone please please help me? with a reasoning? :(

Answers

Answer:

a) 3x + y = -5 & b) y = 1/3 ( 21- 9x )

Step-by-step explanation:

a)

3x + y = -5

y = -3x -5

b)

y = 1/3 ( 21 - 9x)

y = -3x + 7

y = 3x + 2.5

the slop is to be same in the parallel lines. slop means m in ( y = mx + c )

so a) & b) are parallel lines. since their m is -3 .

what is the weight of a square if a triangle weighs 4 grams? explain your reasoning

Answers

Answer:5

Step-by-step explanation:

yh thereu go

Answer:

8 grams

Step-by-step explanation:

u add 2 triangles

3(x + 1) = −2(x − 1) − 4

Answers

x= -1
i think, hope this helps!

Circle B has a radius of 7 and its center is located at (2,5).

Circle H has a radius of 13 and its center is located at (9,-4).

Circle B and circle H _______________ similar.


A. No answer text provided.

B. cannot be determined to be

C. are

D. are not

Answers

Answer:

C. Circle B and circle H are similar.

Step-by-step explanation:

From Euclidean Geometry we remember that all circles are similar to each other and from Analytical Geometry we know that all circles are characterized by two things: Center and radius. Both circles B and H are known for having a respective radius and center.

In consequence, we conclude that correct answer is C.

Eddie found a store that sells cell phone cases for $18.50 plus $0.15 per letter engraved on the case. A second store sells cases for $18.00 plus $0.25 per letter engraved on the case. How many letters would Eddie have to engrave on his case for it to cost the same at either store?

Answers

Answer:

5 letters

Step-by-step explanation:

Let x = the number of letters engraved.

For the first store, the cost can be written as (18.50 + 0.15x).

For the second store, the cost can be written as (18 + 0.25x).

For the cost and value of x to be the same, let them equal eachother and evaluate x:

18.5 + 0.15x = 18 + 0.25

0.1x = 0.5

∴x=5

(Puzzle 2 - Scientific Notation Directions: Using the digits 1 to 9 to fill in the boxes only once, write the largest and smallest absolute value. Then find the decimal equivalent. EX|3.1 X 104- 6.5 X 102| =|31000-650|=|30, 350| is this the largest or smallest? Once you find the largest, start again with new digits and find the smallest. _x10^blank - _ x 10^_

Answers

Answer:

8x(10)^9 - 2 x (10)^1

1x(10)^3 - 9 x (10)^2

Step-by-step explanation:

3.1 X (10)^4- 6.5 X (10)^2

= 31000- 650

= 30,350

For greater number

_x10^blank - _ x 10^_

8x(10)^9 - 2 x (10)^1  ( we use 9 as the power because greater number used as power gives the bigger number and the next smaller number 8 as base. Similarly we use smaller number for power to get a smaller for the greatest difference)

= 8,000,000,000 -20

= 7,999,999,980

For smaller number

_x10^blank - _ x 10^_

1x(10)^3 - 9 x (10)^2   ( we use 3 as the power because smaller number used as power gives the smaller number and the next smallest number 1 as base. Similarly we use next smaller number for power to get the next  smaller for the smallest difference)

= 1000- 900

= 100

We fill in the blanks keeping in mind that we do not have to repeat the numbers from 1-9 and also the numbers should have such an arrangement that they show the smallest and largest possible differences.

Giving Brainlest to the person who explains how to get the right answer !!!!

Food poisoning strikes 76 million people in America each year and kills about 5,000 people each year. What is the the percentage of food poisoning victims who die from food poisoning each year

Answers

Answer:

300 million

Step-by-step explanation:

Answer:

5,000 people = 1520000%

Step-by-step explanation:

PLS ANSWER
An employee's time at work increased from 32 hours per week to 40 hours per week. By what percentage did the
time at work per week increase?

Answers

25%
If you add 25% to 32 your answer will be 40

Answer:

You have to take the ratio so you divide the new value on the old value and compare It with 100 so you write

(40)/(32)=(x)/(100)

And this means that x = 125

So the ratio of the increase of the new time is 125%

But the real increase is 125 - 100 = 25%

Gina is using a grid to plan where to dig her garden. She has drawn this figure.
10
9
8
7
3
2
1
0 1 2
8 9 10
Gina decides to reflect her drawing so that Point G is at (1, 1). Which of the
following points will be a corner of her garden?
r
A (6,6)
B. (5, 1)
C. (0,0)
D. (5,7)

Answers

It’s gonna be 5,7 feet
Other Questions
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