An investment is currently worth 1.035×108 dollars . Thirty years ago, the investment was worth ​ 2.3×105 ​ dollars. How many times greater is the value of the investment today than the value of the investment thirty years ago? A. 0.45 B.450 C.4500 D. 45,000

Answers

Answer 1

The correct option is:  B. 450

Explanation

Current value of the investment is  [tex]1.035\times 10^8[/tex] dollars and 30 years ago, the value of the investment was  [tex]2.3\times 10^5[/tex] dollars.

Suppose, the value of investment today is  [tex]n[/tex] times greater than the value of the investment thirty years ago.

So, the equation will be........

[tex]n(2.3\times 10^5)=1.035\times 10^8\\ \\ n= \frac{1.035\times 10^8}{2.3\times 10^5}=0.45\times 10^3 = 450[/tex]

Thus, the value of the investment today is 450 times greater than the value of the investment thirty years ago.

Answer 2

Answer:   B. 450

Step-by-step explanation:

Given: An investment is currently worth =[tex]1.035\times10^8[/tex] dollars .

Thirty years ago, the investment was worth =[tex] ​2.3\times10^5[/tex] ​dollars.

Now, the number of times the value of the investment today than the value of the investment thirty years ago is given by :-

[tex]n=\frac{1.035\times10^8}{​2.3\times10^5}\\\\=0.45\times10^{8-5}........\text{Since }a^na^m=a^{m+n}\\\\=0.45\times10^3\\\\=0.45\times1000=450[/tex]

Hence, the value of the investment today is 450 times greater than the value of the investment thirty years ago.


Related Questions

what is hundred-seventy as a fraction.

Answers

Hello,

To write 170 as a fraction ,you have to write 170 as the numerator and put it over 1 for the denominator.

After that, you now multiply numerator and denominator by 10.

170 = 170/1 (x 10) = 1700/10

The answer then is:
170 as a fraction equals 1700/10

Hope this helps.

May

To convert 175% to a fraction, write it as 175/100 and then simplify by dividing both numerator and denominator by their greatest common divisor, 25, which gives a simplified fraction of 7/4.

One hundred seventy five percent as a fraction can be converted by writing the value of the percent as a fraction with a denominator of 100. To convert the percent to a fraction, we write 175% as 175/100. This fraction can then be simplified. To simplify, we can divide both the numerator and the denominator by their greatest common divisor, which is 25.

Here is the step-by-step simplification process:

Write 175% as a fraction: 175/100

Divide both the numerator and the denominator by 25: (175 ÷ 25) / (100 ÷ 25) = 7/4

The simplified fraction for 175% is therefore 7/4.

complete question given below:

What is one hundred seventy five percent as a fraction?

Frank goes grocery shopping every 9 days Susan does her grocery shopping every sixth day the went shopping today and we're able to car pool how many days will pass before they can car pool again

Answers

18 days. It is the least common denominator of the two numbers.

Simplify and express the answer as a decimal.

3(2.7+5)−23(2.7+5)−2
Enter your answer in the box.

Answers

Final answer:

The simplified expression is -202.2, which can be expressed as a decimal as -202.2.

Explanation:

To simplify the expression, we need to perform the operations in order of operations (PEMDAS/BODMAS). First, we simplify the expressions inside the parentheses:

2.7 + 5 = 7.7

Next, we can rewrite the expression:

3(7.7) - 23(7.7) - 2

Now, we can multiply each term:

3 * 7.7 = 23.1

23 * 7.7 = 177.1

-23.1 - 177.1 - 2

Finally, we can combine like terms:

-202.2

The simplified expression is -202.2, which can be expressed as a decimal as -202.2.

Final answer:

To simplify the expression 3(2.7+5)−23(2.7+5)−2, we first evaluate the addition inside the parentheses and then perform the multiplication and subtraction step by step to get the final simplified answer as -156.

Explanation:

To simplify the expression 3(2.7+5)−23(2.7+5)−2, we first evaluate the addition inside the parentheses: 2.7+5 = 7.7.

Substituting this value back into the expression, we get 3(7.7) - 23(7.7) - 2.

Next, we perform the multiplication: 3(7.7) = 23.1 and 23(7.7) = 177.1.

Substituting these values back into the expression, we have 23.1 - 177.1 - 2.

Finally, we perform the subtraction: 23.1 - 177.1 = -154 and -154 - 2 = -156.

Therefore, the simplified answer as a decimal is -156.

given h(x) = -x + 1, find h(0)

Answers

h(0) simply refers to the value of the function h(x) when x = 0. All we have to do to find that value is substitute the x's in the expression for 0's. Here, we have:

h(x) = -x + 1
h(0) = -(0) + 1 = 1

So, h(0) in this case would be 1.
h(0)=0+1
answer is 1

-9(-4w^3+4-3v^2) i need the answer

ILL GIVE YOU 12 POINTS

Answers

26w^3 + 27v^2 - 36
26w³ + 27v² - 36
the answer is 36w^3- 36 + 27v^2

PLEASE HURRY

Which set of angles can form a triangle?
A. 1 acute and 2 right
B. 2 acute and 1 right
C. 1 acute and 2 obtuse
D. 1 acute, 1 right, and 1 obtuse

Answers

B can make a triangle

If f(x) = –4x + 3 and g(x) = 3x2 + 2x – 4, find (f + g)(x).

A. (f + g)(x) = –2x – 1
B. (f + g)(x) = 3x2 + 6x + 7
C. (f + g)(x) = 3x2 – 2x – 1
D. (f + g)(x) = 4x – 1

Answers

You just need to add the two equations so (-4x+3)+(3x^2 +2x-4)
You end up with c. 3x^2-2x-1

Answer:

Correct option is:

C. (f + g)(x) = 3x² – 2x – 1

Step-by-step explanation:

f(x) = –4x + 3 and g(x) = 3x² + 2x – 4

We have to find (f + g)(x).

We know that (f+g)(x)=f(x)+g(x)

⇒ (f+g)(x)=-4x+3+3x²+2x-4

⇒ (f+g)(x)=3x²-2x-1

Hence, Correct option is:

C. (f + g)(x) = 3x² – 2x – 1

Most cars get their best gas mileage when traveling at a relatively slow speed. The gas mileage M for a certain new car is modeled by the function

M(s)= -1/28s^2+3s-31

where s is the speed in mi/h and M is measured in mi/gal.

Answers

In this item, it is assumed that we are to determine the speed at which the car will have the best gas mileage. This can be done by deriving the equation and equating it to zero.

       M(s) = -1/28s² + 3s - 31

Deriving,
    dM(s) = (-1/28)(2s) + 3 = 0

                     s = 42

Hence, the speed at which the best mileage is achieved is mi/h. 

Final answer:

The quadratic function represents the gas mileage of a car in relation to its speed. By calculating the vertex of the parabola, it is determined that the best gas mileage for the given new car model occurs at a speed of 42 mi/h, which can lead to more efficient driving.

Explanation:

Understanding Gas Mileage and Speed

The question revolves around the mathematics found in the relation between speed and gas mileage for cars. Specifically, a quadratic function M(s) = -1/28s²+3s-31 represents the gas mileage M, in miles per gallon (mi/gal), at a given speed s in miles per hour (mi/h) for a new car model. To analyze this model, one may want to find the speed that provides the best gas mileage, which typically requires finding the vertex of the parabolic graph that this equation represents.

To find the speed that gives the maximum gas mileage, we would complete the square or use the vertex formula for a parabola given by s = -b/(2a), where a and b are the coefficients of the quadratic term and the linear term, respectively. For our function, a = -1/28 and b = 3. Plugging these into our formula gives a speed of s = -3 / (2 * -1/28) = 42 mi/h. This suggests that the best gas mileage for this car model occurs at a speed of 42 miles per hour.

It is essential to understand the relationship between speed and gas efficiency because it can help reduce fuel consumption and costs, as well as lessen environmental impact. By finding the optimal speed for gas mileage, drivers can make informed decisions about their driving habits for financial and ecological benefits.

There are 7.2 milligrams of iron in a dozen eggs.Because there are 12eggs in a dozen,how many milligrams of iron are in 1egg?

Answers

You just have to divide 7.2 by 12 which gives you .6 milligrams of iron per egg. 

sam is trying to lose weight and George is trying to gain weight. Sam's weight in pounds can be represented by the function f(x) = 240 - 2x, where x is the number of weeks since Sam started losing weight. Georges weight in pounds can be represented by the function g(x) = 180 + 4x, where x is the number of weeks since George started gaining weight.

Answers

The point of intersection between the functions is (10,220), meaning that at 10 weeks they both weight 220 pounds

How many pounds are in 9 kilograms?

Answers

19.8416 pounds in 9 kilograms
There are about 19.8 pounds in 9 kilograms.

Can someone help me with these questions

Answers

1. C

3/8 = 0.375


Hope this helped.

What are the answers for the questions and can you check if I got the other one right please and thank you

Answers

1. -13
2. 3.5
3. -11
4. -4
5. -36
6. 7.7
7. 1
8. 79
9. 79
10. 15.75

Which shows three equivalent rational numbers?

A. 13/-14= -13/14=-13/14

B. -3/5 = 3/5=-3/5

C. -1/17=1/-17=1/17

D. -5/37 = 5/37=-5/37

Don’t answer if you aren’t sure.

Answers

The correct answer is A.
When any part of the fraction is negative, the whole thing is negative.
This is because a positive divided by a negative is a negative and vise versa.
the answer is: A



i hope this helps and have a wonderful day!!

Seema used compatible numbers to estimate the product of (–25.31)(9.61). What was her estimate? –250 –240 240 250

Answers

Answer:

-250

Step-by-step explanation:

Answer: yeah it's -250

Step-by-step explanation: just submitted the test

A store manager realizes that he has too many jeans in stock. After he finished taking inventory, he has a total of 688 jeans. He decides to reduce the stock by having a buy one get one free sale. That means that every purchase will reduce this inventory by 2 pairs of jeans.

The expression below describes this situation.

688−2x

A. What does the expression represent?

A. the number of jeans sold with each purchase

B. the number of jeans the stock is reduced by from each sale

C. the total amount of jeans in stock after each sale

D. the number of jeans purchased

Answers

I think that it is A. I'm tired and it is two in the morning

Answer:

Remaining amount of jeans after x sales = 688 - 2x

In this expression

2x = The number of jeans purchased.

-2 = The number of jeans the stock is reduced by from each sale.

2 = The number of jeans sold with each purchase.

Step-by-step explanation:

Given information:

Total number of jeans = 688

He decides to reduce the stock by having a buy one get one free sale.  It means that every purchase will reduce this inventory by 2 pairs of jeans.

Average rate of change = -2

Let x be the number of purchase.

So, the total amount of jeans in stock after each sale is

Remaining amount of jeans after x sales = 688 - 2x

In this expression

2x = The number of jeans purchased

-2 = The number of jeans the stock is reduced by from each sale.

2 = The number of jeans sold with each purchase

Which unit rates would be appropriate for describing the amount of rainfall over time? Choose two answers.

centimeters per day

meters per second

milliliters per minute

inches per hour

Answers

inches per hour and centimeters per day I believe 

use the distributive property to simplify -5(-2f-6)

Answers

-5(-2f-6)

 distribute by multiplying -5 by everything inside the parenthesis

-5 * -2f = 10f

-5 *-6 = 30

so you get 10f+30

-5(-2f-6)

-5•-2f = 10f
-5•-6=30

(negative • negative = positive)

10f+30 is your answer

The heaviest ball made by a bowling ball company weighs 16 pounds. Last week, the company shipped 10,000 of these balls. What was the total weight of these balls. Multiply 16 by 1 to find the weight of 1 of these balls. 16 x 1 = ____ ones = ____

Answers

10,000 balls
16 lbs*10,000=160,000 lbs

16*1
16*1=16 ones=16

What is the expanded form of 53.327 using fractions

Answers

50+3+3 x 1/10+ 2 x 1/100 +7 x 1/1000

I need an answer what is 1.03 ÷ (-10.3)=?

Answers

The answer is [tex]- \frac{1}{10} [/tex]
To figure this out,  convert both numbers to fractions. 1.03 = 1[tex]\frac{3}{100} [/tex] and (-10.3) = -10[tex] \frac{3}{10} [/tex]. Now, convert to improper fractions. 
 1[tex] \frac{3}{100}  = [tex] \frac{103}{100} [/tex]
-10[tex] \frac{3}{10} [/tex] = [tex]- \frac{103}{10} [/tex]
Now, divide. Dividing fractions is the same as multiplying by the reciporical. So:
[tex] -\frac{103}{10} \ becomes\ \frac{10}{103} [/tex]
[tex] \frac{103}{100} *- \frac{10}{103} = -\frac{1030}{10300} = - \frac{1}{10} [/tex]
Final answer:

The answer to 1.03 ÷ (-10.3) is -0.1.

Explanation:

To divide 1.03 by -10.3, you can use the division algorithm. Divide the absolute values of the two numbers and obtain the quotient. Since the signs of the two numbers are different, the quotient will be negative. Therefore, 1.03 ÷ -10.3 = -0.1.

Learn more about division here:

https://brainly.com/question/2273245

#SPJ2

What is an equation of the line that is perpendicular to y + 1 = - 3 (x - 5) and passes through the point (4, -6)?

Answers

y + 6 = 1/3 (x - 4)

Replace the second y (y1) and the 2nd x (x1) with the new points and then -3 become 1/3 due to perpendicular meaning opposite reciprocal (2/3 reciprocal is 3/2 and the opposite would be its negative, -3/2, for example)

So there's your answer plus some info for future knowlege
Final answer:

The equation of the line that is perpendicular to y + 1 = -3 (x - 5) and passes through the point (4, -6) is y = 1/3x - 22/3.

Explanation:

The subject of this question is Mathematics, specifically the topic of linear equations.

The line given in the question is y + 1 = -3 (x - 5). To find the equation of a line that is perpendicular to this given line and passes through the point (4, -6), we need to understand the concept of slope.

The equation of the given line can be rewritten as y = -3x + 15 -1, or y = -3x + 14. The slope of a line perpendicular to this line would be the negative reciprocal of -3, which is 1/3. Then, by using the point-slope form of a line, (y - y1) = m (x - x1), where m is the slope and (x1, y1) is the point through which the line passes (in this case, (4, -6)), we get: y - (-6) = 1/3 (x - 4) or y + 6 = 1/3x - 4/3.

Simplifying, the equation of the perpendicular line is y = 1/3x - 4/3 - 6 or y = 1/3x - 22/3.

Learn more about Linear Equations here:

https://brainly.com/question/32634451

#SPJ11

Sofia wants to place a sticker 2 ½ inches long in the center of a switch box that is 3 ¾ inches wide. About how far from the edge will she place the sticker?

Please help

Answers

Sofia will need to place the sticker 1.25 or 1/4
5/8 inches because since it wasn't specified what way the box was placed,3 3/4 - 2 1/2=1 1/4, 1 1/4 is the space that is not taken up by the sticker, dividing 1 1/4 gives you 5/8,you divide cuz it is from the edge since the sticker is in the direct middle, both side is the same

Algebraic Expressions Question

A company charges $59.99 for cable TV installation and $49.99 per month for basic cable service.

Part A
Write an algebraic expression to represent the total cost of m months of basic cable service, including installation.





Algebraic Expression: ________________


Part B
How much will it cost for installation and one year of basic cable service?

Explain:





















Total Cost: ______________


This problem is continued on the next page.



Part C
After the first 12 months, the charge will be increased to $69.95 per month. What is the total cost of installation and basic cable service for the first two years?

Explain:








Answers

Part A.

We can create a linear equation from this problem. Let us say that C is total cost and m is number of months, therefore:

C = 59.99 + 49.99 m

 

 

Part B. For m = 12 months, the total cost is:

C = 59.99 + 49.99 * 12

C = $659.87

 

 

Part C. We have already calculated in part B the total cost for the 1st year:

C1 = $659.87

 

For the 2nd year, the equation becomes:

C = 59.99 + 69.95 m

C = 59.99 + 69.95 * 12

C2 = $899.39

 

Therefore the total cost C1 + C2 is:

$1,559.26

Final answer:

The total cost of m months of basic cable service, including installation, can be represented by the algebraic expression 59.99 + 49.99m. For installation and one year of basic cable service, the cost is 659.87. For the first two years, including installation and basic cable service, the cost is 1549.23.

Explanation:

Part A:

To represent the total cost of m months of basic cable service, including installation, we can use the algebraic expression:

59.99 + 49.99m

Part B:

To calculate the total cost for installation and one year of basic cable service, we substitute 12 for m in the expression:

59.99 + 49.99(12) = 59.99 + 599.88 = 659.87

Part C:

For the first two years, the cost includes the installation and basic cable service for the first 12 months at $49.99 per month, and the following 12 months at $69.95 per month. So we write the expression as:

59.99 + 49.99(12) + 69.95(12) = 709.83 + 839.4 = 1549.23

improper fraction of 1 7/8

Answers

To convert to an improper fraction, first convert 1 into a fraction with 8 in its denominator. To do this, multiply 8 by 1. This will give you the numerator. 1 = 8/8.
Now, add 8/8 and 7/8. This gives you your answer. Don't add the denominators.
8/8+7/8 = 15/8
In order for this to be an improper fraction it is 15/8 8x1=8 8+7=15 15/8

Which graph represents the function f(x) = −|x − 2| − 1?

Answers

I think it might be the 3 one and if that's not right then it would be the first one. 

The correct answer is C.

Thanks and have a good day :)

Help me I don’t get this problem...

Answers

All that you have to do is plug in the given values for each of the variables. So, we know that:
A = 3
B = 8
C = 2
D = 5
So, plug in the values. 
[tex]a ^{2} + 3b [/tex]÷[tex]C - 2d[/tex]
3^2 = 9
3*8 = 24
2 * 5 = 10
24/2 = 12
9 + 12 - 10 = 21 - 10 = 11.
So, the value of the expression is 11.

Justify each step in solving the equation 6x = 3(x+4) by writing a reason for each statement.

Answers

1) 6x = 3x + 3.4
6x = 3x +12 minus 3x
6x- 3x = 3x +12 - 3x
3x = 12 division with 3
3x/3 = 12/3
x=4


Create an original rational function that has at least one asymptote (vertical, horizontal, and/or slant) and possibly a removable discontinuity. List these features of your function: asymptote(s) (vertical, horizontal, slant), removable discontinuity(ies), x-intercept(s), y-intercept, and end behavior.

Answers

Since f has a vertical is at x = 2, then the denominator of the rational function contains the term (x - 2). Function f has the form. f(x) = g(x) / (x - 2) g(x) which is in the numerator must be of the same degree as the denominator since f has a horizontal asymptote. Also g(x) must contain the term (x + 5) since f has a zero at x = - 5. Hence f(x) = 3 (x + 5) / (x - 2)

fill in the blanks.
principal: $450
rate: ?
time: 3 years
interest earned: 67.50
new balance: ?

Answers

Hi there! I can help you.

Rate: To find the rate, let’s divide interest earned by the principal. When you do, you get 0.15. Multiply by 100 to get 15 and divide by 3 to get 5. The simple interest rate is 5%.

New balance: All you have to do is add the principal and he new balance. When you do, you get 517.5. The new balance is $517.50.

To find the missing rate and new balance, we used the simple interest formula. The rate was calculated to be 5% and the new balance after 3 years, including interest earned, was determined to be $517.50.

The subject in question here is simple interest calculation, which is a fundamental concept in finance and mathematic subjects. To solve for the missing rate and new balance, we can use the formula Interest = Principal x rate x time.

Principal: $450Rate: ? (We will solve for this)Time: 3 yearsInterest Earned: $67.50New Balance: ? (We will solve for this too)

First, we rearrange the interest formula to solve for the rate:

Rate = Interest / (Principal x Time)

Plugging in the provided numbers:

Rate = $67.50 / ($450 x 3)

Rate = $67.50 / $1350

Rate = 0.05 or 5%

Now, we find the new balance using the formula:

New Balance = Principal + Interest

New Balance = $450 + $67.50

New Balance = $517.50

Therefore, the interest rate is 5% and the new balance after 3 years is $517.50.

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