You deposit $300 into a savings account that is compounded annually. The function g(x) = 300(1.04)x can be used to find the amount of money in the savings account after x years. What is the constant percent rate of change?

Answers

Answer 1

Answer:

This is a simple interest, as the amount earned each year is constant

Step-by-step explanation:

Answer 2

Using compound interest, it is found that the constant percent rate of change is of 4%.

--------------------

The formula for an amount of money invested into compound interest is given by:

[tex]A(t) = A(0)(1+r)^t[/tex]

In which:

A(t) is the amount after t years.A(0) is the initial amount.r is the constant percent rate of change.t is the time.

--------------------

The function is:

[tex]g(x) = 300(1.04)^x[/tex]

Thus, for the constant percent rate of change:

[tex]1 + r = 1.04[/tex]

[tex]r = 1.04 - 1 = 0.04[/tex]

[tex]0.04 \times 100\% = 4\%[/tex]

The constant percent rate of change is of 4%.

A similar problem is given at https://brainly.com/question/3044643


Related Questions

Solve for A if
T = 3.14 and r = 3.
A = ar2
Enter the number that belongs in the green box
A = [?]

Answers

Answer:

28.26 is the correct answer

can someone please help me with this?

Answers

I think the given figure will help you....

Consumer Math

Which person uses the best cost saving strategy when deciding how to spend their money? A. Octavia bought the name-brand dish soap to be sure it was good quality. B. Jake paid the seller's full price for his used car to avoid someone else buying it. C. Tyrone waited for a sale so he could get a lower price on his new skateboard. D. Camilla bought her new computer immediately in case prices increased.

Answers

Answer:

I think c if not sorry

Step-by-step explanation:

C is the only one that makes sense

person uses the best cost saving strategy when deciding how to spend their money is Tyrone waited for a sale so he could get a lower price on his new skateboard.

The correct option is (C).

What is strategy?

Strategy is an action that managers take to attain one or more of the organization's goals. Strategy can also be defined as “A general direction set for the company and its various components to achieve a desired state in the future. Strategy results from the detailed strategic planning process”.

Considering the cost saving ,

Tyrone spends it in a better way cause he waits for the sale so that he could get the lower price for his new skateboard.

Other just look on the quality, first buyer, took the item in increased price.

Hence, Tyrone waited for a sale so he could get a lower price on his new skateboard.

Learn more about strategy here:

https://brainly.com/question/20350382

#SPJ2

Reason abstractly. Can the product of a
decimal number less than I ever be greater than the whole
number? Give examples to support your answer.
find the product 4.2(6 + 0.43).
HELP PLEASE

Answers

Answer: Yes. For example: (-2)*0.5 = -1 > -2

The product of 4.2(6+0.43) is 27.006

Heelp ez question, just answer no steps needed

Answers

Answer:

i think 16 is the correct answer

Step-by-step explanation:

a

Each morning Tess chooses either a red ribbon or a blue ribbon at random to wear in her hair. What is the probability that Tess will choose a red ribbon on both Monday and Tuesday?​

Answers

Answer:

1/4 chance

Step-by-step explanation:

First you need to find the probability of Tess choosing a red ribbon.

1/2

Then you need to multiply that probability by the reciprocal of 2, which is 1/2

1/2 x 1/2 = 1/4

How is the solution set of the sentence below described?
x + 5 < 7


{all numbers less than }

{all numbers less than 2}

{all numbers less than 7}

{all numbers less than 12}

none of these

Answers

Answer:

{all numbers less than 2}

Step-by-step explanation:

x cannot be greater than 2, because it would go over 7

Answer:

{all numbers less than 2}

Step-by-step explanation:

x can only be 2 or lower to make the sentence true

How many significant figures does 4857.169 have?

Answers

Answer:

Significant Figures

   7

   4857.169

Decimals

   3

   4857.169

Scientific Notation

   4.857169 × 103

E-Notation

   4.857169e+3

Words

   four thousand eight hundred fifty-seven point one six nine

Explanation: Mark Brainliest plz

Answer:

plz mark me as a brainliest i really need it

Step-by-step explanation:

4857.169

Sig Figs

7

4857.169

Decimals

3

4857.169

Scientific Notation

4.857169 × 103

E-Notation

4.857169e+3

Words

four thousand eight hundred fifty-seven point one six nine

A person sent 213 copies of a junk mail via email. Each email consisted of 2 bytes of data. How many bytes of data were sent altogether? Express the answer in exponential notation.​

Answers

Step-by-step explanation:

a person sent 213 copies of junk via email

each email consisted of 2 bytes

then 213×2=426

Factorize
the question given below

Answers

[tex] \frac{p^{4} }{ {q}^{4} } + \frac{ {p}^{2} }{ {q}^{2} } + 1 \\ \frac{ {p}^{4} + {p}^{2} {q}^{2} + {q}^{4} }{ {q}^{4} } \\ \\ \frac{( {p}^{2} + {q}^{2} +pq)( {p}^{2} + {q}^{2} - pq) }{ {q}^{4} } [/tex]

I hope I helped you^_^

For her new MP3 player, Alicia wants a case that is 3 and 2/5 in. long. The online store shows case sizes in decimal measurements. What length case should she order?

A. 3.2 in.

B. 3.25 in.

C. 3.4 in.

D. 3.45 in.

Answers

Answer:

C.

Step-by-step explanation:

.

Answer:

c) 3.4 in

Step-by-step explanation:

Pls help !!!
find the rate of change on [-1, 4]

Answers

Answer:

Step-by-step explanation:

Write a variable expression to represent the phrase. The difference of a number and 1

Answers

Answer:

[tex]x-1[/tex]

Step-by-step explanation:

Hi there!

Let [tex]x[/tex] represent "the number".

The difference of a number and 1

⇒ [tex]x-1[/tex]

I hope this helps!

PLS HELP WILL MAKE FIRST RIGHT ANSWER BRAINLIEST ​

Answers

Answer:

OPTION A:0.85M+2.50.

Step-by-step explanation:

SEE IMAGE FOR SOLUTION

Sara can travel 23 feet in 11 hours. please calculate Saras speed rate of speed

Answers

Answer: The answer would be 2.09 feet per hour

Step-by-step explanation:

Divide 23ft by 11 which gives us 2.09ft.

there for the answer is 2.09 feet.

to double check, multiply 2.09 by 11 which will give 22.99 which is close to 23 feet.

Help me outtttttttttt

Answers

Answer:

∠1 = 5 degrees

∠2 = 85 degrees

Step-by-step explanation:

if we add ∠1 and ∠2 that will be 90 degrees (as it is straight angle and its already given in the picture)

( x - 12) + 5x = 90

6x -12 = 90

6x = 90 + 12

6x = 102

x = 102/6

x = 17

Put 17 in both the angles instead of x

∠1 = ( x-12)

    = ( 17 - 12)

    = 5

∠2 = 5x

     = 5 (17)

      = 85

now you can even Cross-check

5 + 85

= 90 degrees

Cross-checked

Pamella late for school 10% of time. Richard late for 15% of the time.
a) What percentage are they both late?
b) What is the probability only one of them is late?​

Answers

Answer:

a) 25%

10%+15% = 25%

b) doesn't have any idea

Help me

6 = 1/5 (4y + 10)​

Answers

Step-by-step explanation:

open the bracket

6={(1/5×4y) + 1/5×10}

6=4/5y+2

6-2=4/5y

4=4/5y

divide both sides by 4/5

y=1/5

The answer you are looking for is y=5.

Solution/Explanation:

Writing out the problem,

6=1/5(4y+10)

Using the Distributive Property,

6=4/5y+2

Subtracting 2 from both sides of the equation,

6-2=4/5y

4=4/5y

Multiplying both sides by 5, to transform the fraction into a whole number,

20=4y

Finally, dividing both sides by 4,

So, therefore the final answer is y=5.

find three consecutive even integers for which -4 times the sum of the first and third is 192

Answers

Answer:

-26-24-22

Step-by-step explanation:

Let x be the smallest number (first)

Let (x + 2) be the second number (second)

Let (x + 4) be the greatest number (third)

Set equation according to the given information

-4 [x + (x + 4)] = 192

Simplify parentheses

-4 [x + x + 4] = 192

-4 [2x + 4] = 192

Expand bracket and apply the distributive property

(-4) · 2x + (-4) · 4 = 192

-8x - 16 = 192

Add 16 on both sides

-8x - 16 + 16 = 192 + 16

-8x = 208

Divide -8 on both sides

-8x / -8 = 208 / (-8)

[tex]\boxed{x=-26}[/tex]

Find the value of the second term

x + 2 = (-26) + 2 = [tex]\boxed{-24}[/tex]

Find the value of the third term

x + 4 = (-26) + 4 = [tex]\boxed{-22}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

please help, thank you so much !!

Answers

Answer: x = 54

Explanation:

180 - 14 = 166

3x + 4 = 166
3x = 162
x = 162/3 = 54

42.3952 to the nearest thousandths

Answers

Answer:

42.395

Step-by-step explanation:

A swimmer wins the 50-yard freestyle with a time of 24.76 seconds. Find the swimmer’s average speed to the nearest hundredth of a yard per second.

Answers

Answer:

2.02 yards per second

Step-by-step explanation:

Distance/time= Average speed or speed

50yard/ 24.76sec=  2.01938 yards per second ~ 2.02 yards per second

what's the Answer ?

[tex] \sqrt{ \dfrac{225}{9} } [/tex]

Answers

Answer:

Solution given;

[tex] \sqrt{ \dfrac{225}{9} } [/tex]

[tex] \sqrt{ \dfrac{15²}{3²} } [/tex]

[tex] \sqrt{ (\dfrac{15}{3} )²} [/tex]

[tex]\dfrac{15}{3}[/tex]

=5

Answer:

First, simplify the content under root:

[tex]\sqrt{\frac{225}{9}} =\\\\\sqrt{25}}} \\[/tex]

Now, use the following identity:

[tex]\sqrt{a^2} = |a|[/tex] = ± a

Last, we get:

√25 = √5² = ± 5

Order the numbers from least to greatest.
A) 3.41%, 0.31, 0.314, 0.3333
B) 0.3333, 0.31, 0.314, 3.41%
C) 3.41%, 0.314, 0.3333, 3.51%
D) 0.31, 0.314, 0.333, 3.41%

Answers

Answer:

a) 3.41%, 0.31, 0.314, 0.3333

căn 0.45*0.3*6
pls help
thanks you

Answers

Answer:

0,81

Step-by-step explanation:

0.45 x 0.3 x 6

= 0,135 x 6

= 0,81

[tex] = \frac{81}{100} .8.1 \times {10}^{ - 1} .( \frac{9}{10} {)}^{2} [/tex]

If the present value of my investment is $1,000 and the rate of interest is 6% compounded annually, what will the value be after 10 years?​

Answers

Answer:

$1790.84

Step-by-step explanation:

The investment will have value of 1000*(1+0.06)^10=1790.84 in 10 years

solve the following equations 6÷x=18​

Answers

[tex]\boxed{\underline{\bf \: ANS WER}}[/tex]

[tex] \sf \frac{6}{x} = 18 \\ [/tex]

Variable x cannot be equal to 0 as division by zero is not defined. Multiply both sides of the equation by x.

[tex] \sf \: 6=18x [/tex]

Swap sides so that all variable terms are on the left-hand side.

[tex] \sf \: 18x=6 [/tex]

Divide both sides by 18.

[tex] \sf \: x=\frac{6}{18} \\ [/tex]

Reduce the fraction [tex] \sf\frac{6}{18}[/tex] to its lowest terms by extracting and cancelling out 6.

[tex] \sf \: x=\frac{1}{3} \\ [/tex]

[tex] \sf \: x=\frac{1}{3}\approx \boxed{\underline{0.33... }}\\ [/tex]

______

Hope it helps.

ᏒᎯᎨᏁᏰᎾᏯᏕᎯᏝᎿ2222

Which system of inequalities is represented by the graph? ⎧⎩⎨⎪⎪y<−12x+2y≤2x−1y≥−4 ⎧⎩⎨⎪⎪y>−12x+2y≥2x−1y≥−4 ⎧⎩⎨⎪⎪y>−2x+2y≥12x−1y≥−4 ⎧⎩⎨⎪⎪y<−2x+2y≤12x−1y≥−4

Answers

Answer: D

Step-by-step explanation:

Let say a: the line decreasing

b: the line increasing

[tex]a: \ is\ passing\ through\ (0,2)\ and\ (2,-2)\\has \ the \ slope=\frac{2+2}{0-2} =-2\\its\ equation\ is\ y-2=-2(x-0) \ or\ y=-2x+2\ or\ 2x+y-2=0 \\for\ (0,0): -2 <=0\\\\\boxed{First\ region\ is\ y\leq -2x+2}\\\\[/tex]

[tex]b:\ is\ passing\ through\ (2,0)\ and\ (-2,-2) \\has\ the\ slope \ = \frac{-2-0} {-2-2} =\frac{1} {2} \\its\ equation\ is\ y-0=\frac{1}{2}(x-2)\ or\ y=\dfrac{x}{2}-1 \ or\ -x+2y+2=0\\for\ (0,0):\ +2 > 0\\\\\boxed{Second \ region\ is\ y\leq \dfrac{x}{2}-1 }\\[/tex]

Answer is D

combine like terms and simplify. 7(3y-5)-2(10+4y)

Answers

Answer: 13y - 55

Step-by-step explanation:

Given

7 (3y - 5) - 2 (10 + 4y)

Expand parentheses and apply the distributive property

=7 · 3y - 7 · 5 - 2 · 10 - 2 · 4y

=21 y - 35 - 20 - 8y

Move like terms together

=21y - 8y - 35 - 20

Combine like terms

=13y - 55

Hope this helps!! :)

Please let me know if you have any questions

calculate the amount of ₹30000 at the end of 2 years 4 months , compounded annually at 10% per annum​

Answers

Fv= 30,000 *(1+10%/12)^(2*12+4)
Fv = 30,000*(1+10%/12)^28
Fv= 37,847.46
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