A person invests 8000 dollars in a bank. The bank pays 6.25% interest compounded daily. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 10800 dollars

Answers

Answer 1

Answer:

4.8 years

Step-by-step explanation:

10 800 = 8000 e^(i t)        i = decimal interest per year     t = years

10800/8000 = e^(.0625 t)      ln both sides

.300 = .0625 t

t = 4.8 years


Related Questions

find the x- and y- intercepts. Write ordered pairs representing the points where the line crosses the axes. 2x+3y=6

Answers

X-intercept: (3,0)
Y- intercept: (0,2)

Which equation would solve for the standard rate of pay?

Answers

Here is the basic salary-to-hourly formula for this method: First, divide the employee’s annual salary by 52 weeks (the number of weeks in a year). Divide the weekly wages by 40 hours.

Can someone teach me how to answer this? Thanks!

Answers

Answer:

[tex]\left( fg\right) \left( x\right) =2x^3\sqrt[3]{x}\\\\\left( \frac{f}{g} \right) \left( x\right) =\frac{2x^{3}}{\sqrt[3]{x} }[/tex]

Step-by-step explanation:

About how much did he spend on DVDs and video games combined?

x

A. $17

B. $34

C. $55

D. $68

E. $88

this the last one

Answers

You never said how much money is was to begin so it is impossible to get an answer sorry. It is 22% of it toghether though sorry! Have a good day

GIVE BRAINLY PLEASE HELP
Which figure correctly shows the line of symmetry

Answers

A line of symmetry is a line that cuts a shape into half

What is the area of this triangle in the coordinate plane?


25.0 units²

27.5 units²

50.0 units²

55.0 units²

Answers

Answer:

B.) 27.5²

Explanation:

This should be the triangle per say:

The Area of a Triangle can be found by using the formula- 1/2 x base x height.

In this case: 1/2 x 11 x 5

This equals 27.5².

Hopefully this may help.

Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it has an accumulated value of $68,000 at the end of 30 years? a. $23,706 b. $23,377 c. $52,069 d. $58,944 please select the best answer from the choices provided a b c d

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\$68000\\ P=\textit{original amount deposited}\\ r=rate\to 3.575\%\to \frac{3.575}{100}\dotfill &0.03575\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &30 \end{cases}[/tex]

[tex]68000=P\left(1+\frac{0.03575}{4}\right)^{4\cdot 30}\implies 68000=P(1.0089375)^{120} \\\\\\ \cfrac{68000}{1.0089375^{120}}=P\implies 23377\approx P[/tex]

Answer: Is (B) 23,377

Step-by-step explanation:

Approximately how much principal would need to be placed into an account earning 3.575% interest compounded quarterly so that it has an accumulated value of $68,000 at the end of 30 years?

a.

$23,706

b.

$23,377

c.

$52,069

d.

$58,944

Please select the best answer from the choices provided

A

( B )

C

D


[tex] \sf \pink{guide \: questions}[/tex]
1. What is the average grade of Brenda in Mathematics?

2.What happened to Brenda during the second quarter?


Nonsense=auto banned/auto reported
Correct/not Nonsense=brainliest​

Answers

Answer:

See below ~

Step-by-step explanation:

1. The average grade of Brenda :

sum of grades in all quarters / 486 + 82 + 84 + 88 / 4340/485

2. During the second quarter, Brenda scored her lowest grade, which was an 82.

PLEASE HELP MODULE 7

Answers

The difference between a temperate coniferous forest and a taiga forest is a  temperate coniferous forest receive a good amount of rainfall.

What is a temperate coniferous forest ?

Temperate coniferous forest is a terrestrial biome that is found in coastal regions that have warm summers and cool winters. They are also found in montane areas.

What is a  taiga forest?

A taiga forest is characterised by cold, harsh climate with a low rate of rainfall and snow. They are characterized by coniferous forests.

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In a group of 60 workers, the average salary is $80 a day per worker. if some of the workers earn $75 a day and all the rest earn $100 a day how many workers earn $75 a day?

Answers

The total number of workers that earn $75 per day is 48

What is average salary?

The average salary is calculated based on reported salaries of respondents. The average salary definition is to add the salaries in the sample together, then divide by the number of respondents.

Given that:

In a group of 60 workers, the average salary is $80 a day per worker.

If some of the workers earn $75 a day and all the rest earn $100 a day.

Let 'x' be the total number of workers that earn $75 per day.

So, the total number of workers that earn $100 per day is (60 - x).

As the average salary of 60 workers is $80.

Then,

[tex]\frac{75x + 100(60-x)}{60} =80[/tex]

or, 75 x + 6000- 100x = 80*68

or, -25x= -1200

       x= 48

So, the total number of workers earn $75 per day is 48.

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Complete:

33/50 = ?*/100

= ?**


*answer #1
**answer #2 (answer #1 as a decimal)



thanks :)

Answers

Answer:

  66/100 = 0.66

Step-by-step explanation:

You can solve for the question mark value as though it were any other variable, or you can recognize the relationship between the numbers in the proportion.

__

solve for ?

  33/50 = ?/100

  100(33/50) = ? = 66 . . . . . multiply both sides by 100

Then we know ...

  33/50 = 66/100 = 0.66

__

recognize the relationship

  [tex]\dfrac{33}{50}=\dfrac{\text{?}}{100}\\\\\dfrac{2\cdot33}{2\cdot50}=\dfrac{66}{100}=0.66[/tex]

_____

Additional comment

Both 66/100 and 0.66 are pronounced "sixty-six hundredths".

Answer:

66/100 = 0.66

Step-by-step explanation:

Guy above and my test.

The weather forecast warns of morning fog today.
You may only be able to see 0.6 miles in front of you.

How many feet is this?

Answers

Answer:

ANSWER ✏️

3168

[tex] \: \: \pink{\bold{\underline{\underline{ ☛explanation}}}}[/tex]

.

lmile=5280 feet 50 0.6mile =3168 feet

#WOULD have helped

#CARRY ON LEARNING

#BRAIN-LIEST

correct my answer in case it is wrong

10 1/9 - 9 3/4=***


***please simplify :)


thanks

Answers

Answer:

[tex]\large \boxed{ \ \sf \dfrac{13}{36} \ }[/tex]

Explanation:

[tex]\rightarrow \sf 10 \dfrac{1}{9} - 9\dfrac{3}{4}[/tex]

[Convert to improper Fractions]

[tex]\rightarrow \sf \dfrac{91}{9} - \dfrac{39}{4}[/tex]

[Make the denominator same]

[tex]\rightarrow \sf \dfrac{4(91)}{36} - \dfrac{9(39)}{36}[/tex]

[Multiply Integers]

[tex]\rightarrow \sf \dfrac{364}{36} - \dfrac{351}{36}[/tex]

[Join both fractions]

[tex]\rightarrow \sf \dfrac{364-351}{36}[/tex]

[Subtract Integers]

[tex]\rightarrow \sf \dfrac{13}{36}[/tex]

Answer:

13/36.

Step-by-step explanation:

First convert to improper fractions:

10 1/9 = (10*9 + 1)/9 = 91/9.

9 3/4 = (9*4 + 3)/4 = 39/4.

Next find the Lowest Common Denominator of 9 and 4.

This is 9*4 = 36.

Now convert both fractions to 36th:

For 91/9 we multiply by 4/4 and for 39/9 we multiply by 9/9

91*4 / 9*4 =  364/36 and 39*9 / 9*4 =  351/36, so we have:

364/36 - 351/36

=  13/36

Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual raise of $3,500 or b) an annual raise of 5% of his current salary.

Model each of Mr. Nicholson’s salary options with a recursive sequence that includes his potential earnings for the first three years of employment.
According to the first three terms of each sequence, can you conclude that there is a significant difference in Mr. Nicholson’s potential earnings with each increase option? Use complete sentences to explain your conclusion.

Answers

Answer:

B

Step-by-step explanation:

Just read and you will see why i say that

Question 3 of 10
Which number sentence below matches this word problem?
On Monday, 4 people signed up to go bowling. The following day, 11 more
people agreed to go. How many people are planning to go bowling?
A. 4+ 11 = 15
B. 11 x 4 = 44
C. 15-4 = 11
D. 44-4 = 11

Answers

Answer:

A

Step-by-step explanation:

On Monday 4 people signed up plus the 11 who agreed to go the following day

which adds up to 15


For times t> 0 in seconds, a superhero's height above the ground in meters is given by the function
s(t) = 600 - 14.7t2. Directly below the superhero, a person is in free fall. The person's height above
the ground is given by the function P(t) = 300 - 10t - 4.912. At what time are the superhero and the
person at the same height above the ground and how high above the ground are they?

Answers

Answer:

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by

Assuming rocket launched at t = 0 and height is measured above sea level in meters.

Step-by-step explanation:

the algebraic expression that represents 2 less than 3 of n is:
A) 3 ( n - 2 ) B) 2 - 3 n C) 3 n - 2 D) 3 + n - 2 E) n

Answers

Answer:

Option A. 3(n-2)

Step-by-step explanation:

"2 less" - "subtract 2"

Then 3 of n - 3n

Hope helps -

Answer:

C) 3n - 2

Step-by-step explanation:

3 of n : 3n

2 less than : -2

Combine together :

3n - 2

Let $a_1, a_2, a_3,\dots$ be an arithmetic sequence. if $a_{23} = \dfrac23$ and $a_{53} = \dfrac32$, what is $a_{35}$?

Answers

Using an arithmetic sequence, it is found that the 35th value of the sequence is given by: [tex]a_{35} = 1[/tex].

What is an arithmetic sequence?

In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n - 1)d[/tex]

In which [tex]a_1[/tex] is the first term.

Considering that we have the mth term as reference, the nth term is also given as follows:

[tex]a_n = a_m + (n - m)d[/tex]

In this problem, we have that:

[tex]a_{23} = \frac{2}{3}, a_{53} = \frac{3}{2}[/tex].

Hence:

[tex]a_n = a_m + (n - m)d[/tex]

[tex]a_{53} = a_{23} + (53 - 23)d[/tex]

[tex]30d = \frac{3}{2} - \frac{2}{3}[/tex]

[tex]30d = \frac{9 - 4}{6}[/tex]

[tex]30d = \frac{5}{6}[/tex]

[tex]d = \frac{1}{36}[/tex]

Then the 35th term is:

[tex]a_{35} = a_{23} + 12d = \frac{2}{3} + 12\frac{1}{36} = \frac{2}{3} + \frac{1}{3} = 1[/tex]

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help me with this question please!!!!

Answers

Answer:

i believe its the second

Step-by-step explanation:

so sorry if im wrong

I believe it’s the second option

There are 72 6th graders, 18 chose popularity, what is the percentage of 6th graders that chose popularity?

Answers

The correct Answer: 21%

What is the probability of rolling a 3?

Answers

Answer:

1/6

Step-by-step explanation:

On an unbiased die, the probability of rolling a 3 would be a 1/6 since there are 6 numbers and the chosen outcome is 1/6.

Answer:

3/36 (8.333%)

Step-by-step explanation:

On a two (6 sided) dice roll probability table is

3. 3/36 (8.333%)

4 6/36 (16.667%)

5 10/36 (27.778%)

6 15/36 (41.667%)

What is P(not odd)? if u roll a 6-sided die

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

We have to find the probability of not getting odd, whole rolling a 6 sided die ~

Actually dices have 3 odd numbers (1 , 3 , 5) and 3 non - odd numbers (2 , 4 ,6)

When we roll a dice, we may get any of the six numbers, so total possible outcomes are 6

and, The number of Favorable outcomes is 3, i.e non - odd numbers.

[tex] \qquad \sf  \dashrightarrow \: p(not \: odd) = \dfrac{favourable \: outcomes}{total \: \: outcomes} [/tex]

[tex] \qquad \sf  \dashrightarrow \: p(not \: odd) = \dfrac{3}{6} [/tex]

[tex] \qquad \sf  \dashrightarrow \: p(not \: odd) = \dfrac{1}{2} \: \: \: or \: \: \: 0.5[/tex]

Answer:

½

Step-by-step explanation:

Not odd (even) numbers from 1 - 6 = 2, 4, 6

Any of these 3 numbers can come when rolling a cubical 6 - sided dice.

Then,

P (not odd)

= Favourable outcomes / total number of outcomes

= 3/6

= ½

_____

Hope it helps ⚜

helppppppppppppppppppp
i dont know if its the answer i clicked or not

Answers

Regrouping terms in the sum as

x + (-5x + 5x) + (-9x + 9x) + … + (-21x + 21x) - 25x

you can see that all the middle terms cancel and you're left with

x - 25x = -24x

Sharon brought $19.50 to the state fair. She bought a burger, a souvenir, and a pass. The burger was 1/3 as much as the souvenir, and the souvenir cost 1/2 the cost of the pass. Sharon had $2.00 left over after buying these items.
What was the cost of each item?

Answers

The cost of pass is $10.5, the cost of burger is $1.75, and the cost of souvenir is $5.25 if the Sharon brought $19.50 to the state fair.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the cost of the pass is $x

The souvenir cost 1/2 the cost of the pass, which is x/2

The burger was 1/3 as much as the souvenir, which is (1/3)(x/2) = x/6

x + x/2 + x/6 + 2 = 19.50

x = 21/2

x = $10.5

The cost of pass = $10.5

The cost of burger = $1.75

The cost of souvenir = $5.25

Thus, the cost of pass is $10.5, the cost of burger is $1.75, and the cost of souvenir is $5.25 if the Sharon brought $19.50 to the state fair.

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Identify the value of y and the length of each chord.

Answers

The length of the chord RT, PQ, and RS will be 5, 14, and 13. Then the correct option is C.

What is a circle?

It is the centre of an equidistant point drawn from the centre. The radius of a circle is the distance between the centre and the circumference.

The graph is given below.

The ratio will remain constant. Then we have

y/10 = 4/8

    y = 5

Then the length of PQ will be


PQ = 4 + 10

PQ = 14

Then the length of RS will be

RS = 5 + 8

RS = 13

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Explain how to identify the restrictions on the variable when adding or
subtracting rational expressions.

Answers

Rational expressions are those that have fractional terms. We state restrictions because it may cause the equation to be undefined in some values of x. The most common restriction for rational expressions is N/0. This means any number divided by zero is undefined.

What is rational expressions and examples?

A rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials. Here are some examples of rational expressions.

To find the restrictions on a rational function, find the values of the variable that make the denominator equal 0.

[tex]6x-1z2-1z2+5m4+18m+1m2-m-64*2+6*-101[/tex]

Learn more about rational expressions here:

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This year, you owed $6,414.95 in federal income tax. if you are taxed at a net rate of 17%, what was your taxable income for this year? a. $109,054 b. $26,792 c. $44,867 d. $37,735

Answers

Using proportions, it is found that your taxable income for this year is given by:

d. $37,735

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that $6,414.95 is 17% of his taxable income, hence it is given by:

T = 6414.95/0.17 = $37,735.

Which means that option D is correct.

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Answer:D

Step-by-step explanation:

bc its D

Will mark brainlist to whoever answers first
(6).

Answers

Answer:

Since RT is equal to 16, we know that RU would be half that amount since SQ goes directly through the middle.  Therefore RU = 16/2 would just give us 8.

Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full. its width is 3 and 1/2 in and its height is 77 in. find the length of the popcorn box in inches. round your answer to the nearest tenth if necessary.

Answers

If the volume of the popcorn box is 74 cubic inches. Then the length of the popcorn box in inches will be 0.3 inches.

What is a rectangular prism?

A rectangular prism is a closed solid that has two parallel rectangular bases connected by a rectangle surface.

Gabriel models the volume of a popcorn box as a right rectangular prism and the box can hold 74 cubic inches of popcorn when it is full.

Its width is 3 and 1/2 in and its height is 77 in.

Then the width of the prism will be

[tex]\rm W = 3 + \dfrac{1}{2}\\\\W = \dfrac{7}{2}[/tex]

Then the length of the popcorn box in inches will be

[tex]\rm V \ = LWH\\\\\\74= L \times \dfrac{7}{2} \times 77\\\\\\L\ = 0.2745 \approx 0.3[/tex]

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Answer: the real answer is 3 inches not 0.3.

Step-by-step explanation:

Formula: V=lwh

You are searching for its length, so if width is 3 1/2 then it will convert to 3.5

V=lwh

75=L(3.5)(7)

=3.02040816

L= 3.0

Your welcome :))

Find the surface area of each polyhedron. Explain your reasoning clearly.

Answers

The area of a 2D form is the amount of space within its perimeter. The surface area of each polyhedron is 82units², 48units², and 48units², respectively.

What is an area?

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

The surface area of the polyhedrons can be written as,

I Polyhedron

SA = 2[(5×6)+(5×1)+(6×1)] = 2[(30)+(5)+(6)] = 82 units²

II Polyhedron

SA = (4×4)+4(0.5×4×4) = 16+32 = 48 units²

III Polyhedron

SA = (3×3) + 2(0.5×4×3) + (5×3) + (4×3) = 48 units²

Hence, the surface area of each polyhedron is 82units², 48units², and 48units², respectively.

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