A quantity with an initial value of 3400 grows exponentially at a rate of 1.5% every 3 minutes. What is the value of the quantity after 1.65 hours, to the nearest hundredth?

Answers

Answer 1

Answer:

FV= 5,557.23

Step-by-step explanation:

Giving the following information:

Present value= 3,400

Growth rate (g)= 1.5% every 3 minutes

Number of periods (n)= (1.65*60) / 3= 33

To calculate the future value, we need to use the following formula:

FV= PV*(1+g)^n

FV= 3,400*(1.015^33)

FV= 5,557.23


Related Questions

One adult and 3 student tickets cost $11.50. Three adult and 2 student tickets cost $17.00.
a. Write a system of equations to represent this scenario.
b. Solve. Must show work. (Make sure to type the $ before the value.)
Adult tickets:
Student tickets:
a. System of equations:
b. Adult tickets:
Student tickets:

Answers

Answer:

Adult-. $4

Student-. $2.50

Step-by-step explanation:

equation

1a + 3s = $11.50

3a + 2s = $17.00

$4+$2.50(3)=$11.50

$12+$2.50(2)=$17.00

or

1($4)+3($2.50)=$11.50

3($4)+2($2.50)=$17.00

sorry if this is a little confusing, this is a simpler equation-

$4.00+($2.50x3)=$11.50

($4.00x3)+($2.50x2)=$17.00


1. Cindi finds a $89.50 sweater at 60% off. What percentage of the original price does she pay?

a.60%
b.40%
c.100%
d.50%

Answers

Answer:

the answer is b.40% hope this helps have a nice day please give me brainliest

Step-by-step explanation:

1. Su familia va a cenar a un restaurante de estilo sureño. Hay 6 personas en tu familia. Algunos piden la cena de pollo por $ 14 y otros piden la cena de bistec por $ 17. Si la cuenta total fue de $ 99, ¿cuántas personas pidieron cada cena?​

Answers

hola. én gou. hul gh ghî

answer both = brainiest

Answers

Answer:

3= 7 4=2.75

Step-by-step explanation:

Wat ever the person said there right

please help & show your work .
I need it :)

Answers

This might help u

Gud luck

Step-by-step explanation:

1.cos x = 9÷12

x = (shift cos)

2.sin x = 8÷11

x = (shift sin)

3. idrk since there is some info missing

A company's profit tripled from 2015-2016. If they earned $140,000 all together how much did they earn in each year?

Answers

Answer:

x+3x=140000

x=35000

in 2015, they earned 35000

in 2016, they earned 105000

Step-by-step explanation:

Peter has 25 chickens. His uncle has 60 times as many. How many chickens does his uncle have? *

Answers

Answer:

I think you have to do 25 x 60?

Try it.

Is this a function ?

Answers

Answer:

it is a function

Step-by-step explanation:

the input is not repeated

A baseball bat cost $28. There is a 25% discount. How much will you pay after the discount?

Answers

Answer:

$21

Step-by-step explanation:

1/4 of 28=7

so 28-7=$21

Answer:

7 dollars

Step-by-step explanation

What’s the cop for y=4x

Answers

y= -4

Since the equation can be written in the form  y = kx, y directly with k and x.

The constant of variation,  k , is  − 4 - 4 .

Answer:

y =-4

Step-by-step explanation:

hope this helps

please give me a heart

Which of the following equations is equivalent to 2log4x − log49 = 2

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

log _4 { x^2 / 9 } = 2

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

The value of [x] will be equivalent to x = 3.5.

What is logarithmic function? What is equation modelling? What is a mathematical equation and expression?In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a number [x] to the base [b] is the exponent to which [b] must be raised, to produce [x]. We can write -

        [tex]y=log_{e} (x)[/tex]

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is the logarithmic equation as

2log(4x) − log(49) = 2

2log(4x) = 2 + log(49)

2{log(4) + log(x)} = 2 + log(49)

{log(4) + log(x)} = {2 + log(49)}/2

log(4) + log(x) = 1 + log(49)/2

log(4) + log(x) = 1.85

log(x) = 1.85 - log(4)

log(x) = 1.25

x = e^(1.25)

x = 3.5 {approx.}

Therefore, the value of [x] will be equivalent to x = 3.5.

To solve more questions on functions, expressions and equation modelling, visit the link below -

brainly.com/question/17421223

#SPJ2

Simplify the expression

Answers

Answer:

5 3^/2x^3

Step-by-step explanation:

pls help I will give brainliest

Answers

At 1 hour the ship traveled 25 miles.

At constant speed, this means every 1 hour the ship travels 25 miles.

The speed would be 25 miles per hour.

The larger of two numbers is 17 more than twice the smaller. When the larger number is divided by the smaller, the quotient is 3 and the remainder is 6. Find the two numbers

Answers

Answer:

The numbers described here are 39 and 11.

Step-by-step explanation:

Let's call the numbers a and b, a being the larger. We're told two things:

The larger of the two numbers is 17 more than twice the smaller.

Which we can express as:

a = 2b + 17

When the larger number is divided by the smaller, the quotient is 3 and the remainder is 6

And that can be expressed as:

a = 3b + 6

We can now take those two expressions and, noting that they both define a, we can say that they are equivalent, and solve for b:

2b + 17 = 3b + 6

3b - 2b = 17 - 6

b = 11

With b found, we can now take either of the first expressions, and solve for a:

a = 2b + 17

a = 2(11) + 17

a = 22 + 17

a = 39

Now we can check whether that is correct by plugging it into the other expression and seeing if b still comes to 11:

a = 3b + 6

39 = 3b + 6

3b = 33

b = 11

So we know that the answer is correct.

Can some one help me I will give the brainliest

Answers

B. 12, it is this because 1+3+8=12

Matt and Bree are saving for a new car. At the end of 2013, their total savings was $12,500 . In 2014, total savings increased to $15,550 . How much did Matt and Bree save in 2014

Answers

Answer:

They saved $3000 in 2014

Step-by-step explanation:

Given

[tex]Savings (2013) = \$12500[/tex]

[tex]Total (2014) = \$15500[/tex]

Required

Determine the savings in 2014

This is calculated by subtracting the savings in 2013 from the total savings.

i.e.

[tex]Savings(2014) = Total(2014) - Savings(2013)[/tex]

This gives:

[tex]Savings(2014) = \$15500 - \$12500[/tex]

[tex]Savings(2014) = \$3000[/tex]

Hence, they saved $3000 in 2014

11B. Long Beach Towing Company charges $40 plus $5 per mile to
tow a car. The Five-Star Towing Company charges $70 plus $2 per
mile. After how many miles the charges for the two companied will
be the same?

Answers

Answer:

The charges will be the same after 10 miles.

Step-by-step explanation:

Long Beach Towing Company:

Charges $40 plus $5 per mile. So after x miles, the charge will be of:

[tex]L(x) = 40 + 5x[/tex]

Five-Star Towing Company:

Chargers of $70 plus $2 per mile. So after x miles, the charge will be of:

[tex]F(x) = 70 + 2x[/tex]

After how many miles the charges for the two companied will be the same?

This is x for which:

[tex]L(x) = F(x)[/tex]

So

[tex]40 + 5x = 70 + 2x[/tex]

[tex]5x - 2x = 70 - 40[/tex]

[tex]3x = 30[/tex]

[tex]x = \frac{30}{3}[/tex]

[tex]x = 10[/tex]

The charges will be the same after 10 miles.

A manufacturing company uses two different machines, A and B, each of which produces a certain item part. The number of defective parts produced by each machine is about 1 percent. Suppose two independent random samples, each of size 100, are selected, where one is a sample of parts produced by machine A and the other is a sample of parts produced by machine B. Which of the following is true about the sampling distribution of the difference in the sample proportions of defective parts?
A The mean is 0 and the distribution is approximately normal
B The mean is 0 and the distribution will not be approximately normal
C The mean is 0.01 and the distribution is approximately normal
D The mean is 0.01 and the distribution will not be approximately normal.
Ε The mean is 1 and the distribution is approximately normal.

Answers

Answer:

B: The mean is 0 and the distribution will not be approximately normal

Step-by-step explanation:

It is true that the mean is 0 because it is the difference in the population proportions, 0.01−0.01. However, normality cannot be assumed because the sample sizes are not large enough.

The sample distribution is defined as the probability distribution of a given sample based on statistics.

The correct option is (a).

Given:

The defective parts produced by each machine is 1%.

The sample Size is 100.

Calculate the proportion of the defective parts.

[tex]\dfrac{1}{100}=0.01[/tex]

Thus, the mean of each machine is 0.01.

Now, the mean difference between both machine is 0 and proportion will be normally distributed.

Learn more about sample distribution here:

https://brainly.com/question/10554762

Translate the sentence into an inequality. Seven subtracted from c is greater than or equal to 27

Answers

Answer:

c-7 [tex]\geq[/tex] 27

Step-by-step explanation:

"Seven subtracted from c" is c - 7

"greater than or equal" is the sign required

"27" is on the other side on the inequality

Hope this helps!

Answer:

7-c ≤ 27

Step-by-step explanation:

write an equation that describes the function​

Answers

F(x)= -x + 1

You can also use y instead of the f(x) notation.

I got this bc 1 is the y intercept. I know this because when x=0, the y value of that point is the y intercept.

To get slope I chose two values and did y2-y1/x2-x1

Answer:

y= –x + 1

Step-by-step explanation:

to write an equation in slope-intercept form, y = mx + b, calculate the slope, m, as rise/ run

The difference in y-values, rise, is –2

The difference between x-values is 2

–2/2 = m, the slope is –1

substitute for m, and it use any set of given y and x values in the equation to solve for b.

y= mx +b

–2 = –1(3) + b. Add 3 to both sides.

3 –2 = 3 –3 + b

1 = b

use the calculated m and b to write the equation with y and x

y = x + 1

Alene wants to buy a pencil pouch the cost 16.00. She must also pay 5% sales tax. If she pays with a $20 bill,how much change will she receive back

Answers

Answer:

$3.20

Step-by-step explanation:

The price of the Pencil is $16

Tax payable on the pencil is 5%*16 = $0.8

Total amount payable is = $16 + $0.8 = $16.8.

So, If she pays with a $20 bill, then the change she will receive is $3.20 ($20 - $16.8)

the ratio of two numbers is 3 is to 7 if the smaller is 18 find the greater number ​

Answers

21 id the greater   number

Hope you understand

The school library has 12,348 books. Two-thirds of the books are paperbacks. How many books are paperbacks?

Answers

8,232 books are paperbacks

Divide 12,348 by 3, then multiply that by 2

Answer:

about 8,223 or 8,224 rounding up

Step-by-step explanation:

Please answer this correctly without making mistakes

Answers

Answer:

What is meant by galons and quarts?

Step-by-step explanation:

Say me the meaning and I will answer it.

Answer:

Step-by-step explanation:

I think 93 gallons 75 quarts. Not sure because I haven't read this.

Eight times a number plus five times another is -13. The sum of the two number is 1. What are the numbers ?
A:-5,6
B:-6,7
C:-7,8
D:,-8,9

Answers

Answer: B

Step-by-step explanation:

8 x (-6) + 5 x 7 = (-13)

-6+ 7 = 1 hope this helps.

The answer is: B. -6.7 .

1
Kathy spent half of her weekly allowance at the movies. To earn more money, her parents let
her clean the windows in the house for $15. What is her weekly allowance if she ended with
$32?

Answers

Answer:34

Step-by-step explanation:

She ended with 32 after the 15 earning from windows. 32-15=17 which is what she has before window money, which was half of her allowence 17×2=34

Upon studying low bids for shipping contracts, a microcomputer manufacturing company finds that intrastate contracts have low bids that are uniformly distributed between 22 and 29, in units of thousands of dollars. (a) Find the probability that the low bid on the next intrastate shipping contract is below $25,000. (Round your answer to four decimal places.)

Answers

Answer:

0.4286 = 42.86% probability that the low bid on the next intrastate shipping contract is below $25,000.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value lower than x is given by:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

Uniformly distributed between 22 and 29, in units of thousands of dollars.

This means that [tex]a = 22, b = 29[/tex].

(a) Find the probability that the low bid on the next intrastate shipping contract is below $25,000.

This is P(X < 25). So

[tex]P(X < 25) = \frac{25 - 22}{29 - 22} = 0.4286[/tex]

0.4286 = 42.86% probability that the low bid on the next intrastate shipping contract is below $25,000.

What is the mathematical situation

Answers

Answer:

There is no situation given...

I need help converting 3/5 into a decimal what should I write?​

Answers

Explanation: Decimals represent fractions

with denominators of 10, 100, 1000, and so on.

Therefore, in order to write 3/5 as a decimal, we must first find a

fraction equivalent to 3/5 with a denominator of 10.

So we multiply the numerator and denominator

of 3/5 by 2 to get the equivalent fraction 6/10.

Since 6/10 is written as the decimal 0.6,

3/5 must be equivalent to 0.6.

Multiply the denominator and numerator by 2, we get: 6/10...

6/10 in decimal is 0.6

Pls help this is for a grade and don’t give the wrong answers

Answers

Answer:

1. B

2. A

3. E

4. C

5. D

Step-by-step explanation:

yes sure, ??

1:D
2:C
3:A
4:E
5:B

I’m a math teacher here you go , Glad i could help
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