A quantity with an initial value of 570 grows exponentially at a rate of 35% every 2
decades. what is the value of the quantity after 39 years, to the nearest hundredth?

Answers

Answer 1

After 39 years, the value of this quantity is 1,023.35

What is the value after 39 years?

Here we know that:

The initial value is 570.There is an exponential growth.The rate of growth is 35% for every 2 decades (20 years).

Then the exponential equation is:

[tex]A(t) = 570*(1 + 0.35)^{t/20}[/tex]

Where t is the time in years.

So, after 39 years, the value of this quantity is given by:

[tex]A(39) = 570*(1 + 0.35)^{39/20} = 1,023.35[/tex]

After 39 years, the value of this quantity is 1,023.35

If you want to learn more about exponential equations:

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Related Questions

Use the model to write a equation

Answers

Answer:

5/8-2/8=3/8 I hope this helped!

PLS HELP ASAP I MEAN ASAP PLS

Answers

Answer:

(B). - 3 ≤ x < 1

Step-by-step explanation:

[tex]\frac{\sqrt{x+3} }{\sqrt{1-x} }[/tex]

Given expression is defined for

1). x + 3 ≥ 0 ⇒ x ≥ - 3

and

2). 1 - x > 0 ⇒ x < 1

- 3 ≤ x < 1

A car on a racetrack drove 98 miles in 60 minutes. How far did it drive in 12 minutes? Round the the nearest tenth when necessary.

Answers

Answer:

19.6 miles in 12 minutes.

Step-by-step explanation:

first take 60, then divide it by 12.

60÷12=5

then take 98 and divide that by 5

98÷5=19.6


Find the missing side of the triangle.

Answers

Answer:

The second option

Step-by-step explanation:

c=[tex]\sqrt{16^{2} +12^{2} }[/tex]

c=20 m

Select the correct answer.
The zeros of a quadratic function are 6 and -4. Which of these choices could be the function?
ОА
Ax = (x+6)(x-4)
OB.
Ay) = (x-6)(x + 4)
Oc.
Ax = (x + 6/(x+4)
OD. Ax) = (x-6)(x-4)

Answers

A is the answer hope i helped goodbye have an amazing day. stop say ain’t it’s income

Answer:

A

Step-by-step explanation:

How are exponents used for measuring an earthquake? Can you explain?

Answers

Answer:

Richter, the Richter scale was used for many years to describe the energy released by an earthquake. ... To estimate the Richter scale measure, write the amplitude, in mm, as 10 raised to an exponent (10x), then add 3 to the exponent, x. For example, if the amplitude is 100 mm, rewrite 100 as 102.

Step-by-step explanation:

Help me please Thanks

Answers

a) y=x !!!!!!!!!!!!!!!

-4 + x + 7 + 3x + 6x​

Answers

Go to m-a-t-h-w-a-y they give you the answer. But only do it when absolutely necessary. Hope this helps!

I need this ASAP Joe needs at least $75 to take his mom
out for her birthday. So far he has
saved $30. He has 3 days to make the
money. Suppose he earns the same amount each
day,
write
an inequality to find out how much
he needs to earn each day. solve the inequality

Answers

Answer:

He will need to get 15$ a day

Step-by-step explanation:

So what u can do is subtract 30 from 75 u will get 45 divide that by 3 and u get 15. Hope it helps

15% is to be added to a 120 pair of shoes. Find the total
Price for the pair of shoes​

Answers

Answer:

138

Step-by-step explanation:

120 x .15 = 18

120 + 18 = 138

Answer:

         138

Step-by-step explanation:

[tex]120+15\%\times120=120+0.15\times120=120+18=138[/tex]

What is the answer to 2/6 + 1/2?

Answers

Answer: hey, there

your answer is 5/6

Step-by-step explanation:

=

2

6

+

1

2

=

1

3

+

1

2

=

2

6

+

3

6

=

2+3

6

Answer:

5/6

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/6, 1/2) = 6

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(26×11)+(12×33)=?

Complete the multiplication and the equation becomes

26+36=?

The two fractions now have like denominators so you can add the numerators.

Then:

2+36=56

This fraction cannot be reduced.

Therefore:

26+12=56

Solution by Formulas

Apply the fractions formula for addition, to

26+12

and solve

(2×2)+(1×6)6×2

=4+612

=1012

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(10,12) = 2

10÷212÷2=56

Therefore:

2/6+1/2=5/6

(hope this helps can i plz have brainlist :D hehe)

how do you round to the nearest 10,000 in 1,995,298?

Answers

Answer:

The answer is 2,000,000

Step-by-step explanation:

^^^^^ look up !!!hahhahaha

A driver stopped to purchase 27 gallons of gas and paid $62.10. What is the unit rate for gas?

Answers

Answer:

$2.3/gallon

Step-by-step explanation:

62.10 divided by 27 =  2.3

Answer:2.3$

Step-by-step explanation:

To find a unit rate you need to see how much for 1, so in this case you would divide 62.10 by 27 and get 2.3$ per gallon

Help me pleaseeeeeee

Answers

Answer:

1(top)- the last one

2- the first one

3(bottom)- the middle one

Step-by-step explanation:

trust me :)

Q2.
(a) Expand and simplify (m-8)(m + 5)

Answers

We can split the m-8 into 2 terms m and -8 each multiplying the next ( ) like this...

m(m+5)-8(m+5)

Now we expand

m^2+5m-8m-40

then simplify!

m^2-3m-40

Done!

If you have any more questions put them in the comments and brainliest will be appreciated

A city cat show is underway. Complete with purring, meowing, and an occasional hiss. There are three times as many orange cats as black and white cats, two times as many black and white cats as grey cats, three fewer gray cats then white cats, three times as many white cats as calico cats, and five white cats. How many of each kind of cat is in the show? How many in all?

Answers

Answer:

i like cats uwu

Step-by-step explanation:

Dinah went out to eat at a restaurant. She wants to leave the waitress a tip of 18%. She can determine the amount she should pay by adding the total amount of the bill (b) to 18% of b + 18% ×b. Which expression shows another way that dinah can calculate the total amount she will pay, Including tip? Help me plssss

Answers

Answer:

C. [tex]1.18b[/tex]

Step-by-step explanation:

Hi! Ace here!

In order to do this, we have to convert 18% into a decimal.

The decimal form of it is .18.

So we have to do

[tex]b+.18b[/tex]

Combine like terms:

[tex]1.18b[/tex]

I hope this helped

Answer:

1.18b

Step-by-step explanation:

Remember: percentage = decimal × 100

total = b + 18% x b

Factor out b:

total = b x (1 + 18%) = b x (1 + 0.18)

total = b x 1.18 = 1.18b

Please help me: which statement is not true?

Answers

Answer:

I'd say III. Could be wrong.

Answer:

#3

Step-by-step explanation:

KL is shorter in length compared to CD which means if you divide both by BC they will not equal each other

pls Help!.. help help help

Answers

uhh there’s no picture it just only shows up black when i press it:/

Select the correct answer from the drop-Cown menu.
The roots of the quadratic equation
are x= 2 + i.
Drop down options
x^2-4x-5=0
x^2+4x+5=0
x^2-4x+5=0
x^2+4x-5=0

Answers

Answer: Option 3 is correct
Hope this helps : )

The x=2+i is the root of the quadratic equation x²-4x-5=0. Therefore, option A is the correct answer.

What is the solution of a quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, the roots of the quadratic equation are x= 2 + i.

The roots of a quadratic equation ax² + bx + c = 0 are given by x = [-b ± √(b² - 4ac)]/2a.

A) x²-4x-5=0

Here, x=[4±√(16-20)]/2

x=[4±2i]/2

x=2±i

x=2+i or x=2-i

Therefore, option A is the correct answer.

To learn more about the solution of quadratic equation visit:

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4/5+ 1/3 how much is it

Answers

4/5 = 12/15
1/3 = 5/15
17/15 = 1 2/15

Please can someone help answer these ratio questions

Answers

Answer:

12sweet

Alex's ratio=3

Thomas' ratio =2

I.e 3+2=5

Sweet=30

Thomas' share=2/5*30

=12

I.e Thomas' share is equal to 12 sweets

Answer:

12 sweet s

Alex's ratio=3

Thomas' ratio =2

I.e 3+2=5

Sweet=30

Thomas' share=2/5*30

=12

I.e Thomas' share is equal to 12 sweets

Find the solution of y = -x - 3 for x = -2.


A.
(-2, 1)


B.
(-2, -5)


C.
(-2, -1)

Answers

Answer:

(-2,-1)

Step-by-step explanation:

y = -x - 3

you replace the x with the -2

y = -(-2) - 3

y=2-3

y=-1

12y + 29y +48y + 2ly + 13y + 7y

Answers

Answer:

Add all of the numbers then put a Y at the end.

Step-by-step explanation:

its just combining like terms, if their all Y. its jist adding with a letter at the end

Answer: 130y

here you go!

Abby needs 8 quarts of milk to make milkshakes for her class party. What would the equivalent amount of milk be in gallons

Answers

Answer:

2 gallons

Step-by-step explanation:

There are 4 (US) quarts in 1 (US) gallon.

Therefore, 2 gallons would equal 8 quarts.

4 + 4 = 8

Answer:

2, 2 gallons would be equal to 8 quarts

Step-by-step explanation:

4 quarts is a gallon so you would have 2

it says what to do in the problem :)

Answers

Answer:

Step-by-step explanation:

1). (10x - 27)° = (2x + 29)°

10x - 27 = 2x + 29

8x = 56

x = 7

m∠W = (2(7) + 29)° = 43°

2). (14x + 4)° + 51° + 55° = 180°

14x + 110 = 180

x = 14

plzzzzzzzzzzz helppppppppppppppppppp

Answers

Answer:

A. Step 1

Step-by-step explanation:

He made the mistake on step 1 because he didn't distribute

Answer:

Step 1

Step-by-step explanation:

2(5g - 1) = 3

1 Step: Distribute

2(5g - 1) = 3

10g-2=3

2 step: Add 2 to both side of the equation

10g -2=3

10g= -2+2=3+2

3 step: Simplify

4 step: Divide both sides of the equation by the same term

10g=5

10g/10 = 5/10

5 step: Simplify

g = 1/2

A solid has an area of 1cm squared. The solid is dialated to a new area of 2,401cm squared what was the scale factor? Show your work

Answers

Answer:

1 : 2401

Step-by-step explanation:

Given that:

Area of solid = 1cm²

New area after dilation = 2401 cm²

The scale factor :

Old area : new area

1 cm² / 2401 cm²

Hence, the scale factor is

1 : 2401

COULD YOU PLEASE HELP OUT WITH THIS PROBLEM!!??
find the output y of the function y = -4/15x + 24, input (x) is 120 -- x = ?

Answers

Answer:

ano pong lesson yan.paki comment nalang po.

A round swimming pool has a radius of 12 feet. What is its circumference?

Answers

c=2πr

=2*3.14*12

=75.36 m

it's circumference is 75.36 m

Answer:

about 452.16

Step-by-step explanation:

c = pi r²

12²= 144

pi is about 3.14

144 × 3.14 = 452.16

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