Suppose that $590 is deposited into an account that pays 3.5% compounded quarterly. How long will it
will take for the account to contain at least $800? Round to the nearest year.

Answers

Answer 1

Answer: 9 years

Step-by-step explanation:

Let 's use the compound interest formula :

[tex]\rm \displaystyle S=A\left( 1+\frac{N}{100} \right)^{\rm \big r}[/tex]

Where N- the percentage by which we raise the price ; r-years ; A-the original price

In our case

N=3,5%  ;  r=?  ; A=590$  

And we know :

[tex]\rm \displaystyle S= 800 \\\\ 590 \left( 1+ \frac{3,5}{100} \right)^{\big {r}}=800 \\\\\\(1,035)^{\big r} = \frac{80}{59}\approx1,355 \\\\\\ r= \log_{1,035}\ 1,355=8,\underline831 \approx9 \ years[/tex]


Related Questions

a data set has these values: 8,10,10,12,12,12,14,14,16.The histogram of the distribution is shown. Which statement does not describe the data set shown?

Answers

Answer:

it has a range of 17

Step-by-step explanation:

I just took it

What does 2-for-1 split mean

Answers

Answer:

you two shares for every one share of a company you own

Step-by-step explanation:

A parabola can be drawn given a focus of (8,4) and a directrix of x = 6. Write the
equation of the parabola in any form.

Answers

9514 1404 393

Answer:

  x = 1/4(y -4)² +7

Step-by-step explanation:

A parabola can have the equation ...

  x = 1/(4p)(y -k)² +h

where the vertex is (h, k), and the vertex-to-focus distance is p.

The vertex is halfway between the focus and directrix, so has coordinates ...

  ((8, 4) +(6, 4))/2 = (7, 4)

The distance from the vertex to the focus is 8-7 = 1, so the equation can be written ...

  x = 1/4(y -4)² +7

solve pls brainliest

Answers

91/25, 3.92, 3.928, 2 13/20

im pretty sure this is correct AND IM RLY SRY IF IT ISN’T

and if someone could explain how they got this would be great-

Answers

are you sloving the x? or what are you sloving


Isolate the variable by dividing each side by factors that don't contain the variable.


x < 3

house is between his school and the library, witch are one mile apart on the same street. A mile is 5280 feet. After school Nick walks 3195 feet to his house. How many more feet does he need to walk to get to the library? Explain

Answers

Answer:

2085 feet

Step-by-step explanation:

If the library and school are one mile apart and his house is in the middle then after he walks to his house he only has 2085 feet left to walk.

He need to walk 2085 more miles to get to the library

write an expression in factored form for the polynomial of least possible degree graphed below.

i’m confused because when i’m trying to find « a » i end up getting 0 and i feel i’m doing something wrong. thank you!!

Answers

Answer:

- 1/64 (x+4)² (x-3) (x-4) = 0

Step-by-step explanation:

f(x) = a (x+4)²(x-3)(x-4)   ... curve touch (-4,0) and not cross x axis

x=0   f(x) = -3

a (4)² * (-3) * (-4) = -3

a = - 1/64

- 1/64 (x+4)² (x-3) (x-4) = 0

Directions: Find the value of x.​

Answers

I think it would be 12.207… use the Pythagorean theorem (a^2+b^2=c^2) so 10^2+7^2
100+49=149
Then take square root of 149 to undo the the squaring of c and it should be around 12.207 :)

Answer:

approximately 7 cm

Step-by-step explanation:

I’m not absolutely sure so double check

The distance from Seattle to Orlando is about 3,000 miles. The distance from Earth to the moon is 80 times that distance.

What is the distance from Earth to the moon?

Answers

Answer:

vggyyrt5 gf t66t6

Step-by-step explanation:

yy dry t6t ty y yuri u fry uu huf yy875

Harry filled the 75 L gas tank of his pickup truck for $73.88. Stan paid 95¢/L to fill up his truck. Who paid less per litre for fuel?

Answers

Answer:

stan

Step-by-step explanation:

Stan paid less price per liter of gas which is $0.95 per liter.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Harry filled the 75 L gas tank of his pickup truck for $73.88.

Therefore, The cost of 1L of gas is $(73.88/75) = $0.98 per liter.

And Stan paid $0.95 per liter, So Stan paid less per liter of fuel.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

Consider the following 8 numbers, where one labelled
x
is unknown.

5
,


31
,


31
,


x
,


31
,


34
,


10
,


48


Given that the range of the numbers is 67, work out 2 values of
x
.

Answers

9514 1404 393

Answer:

  x = -19 or 72

Step-by-step explanation:

The range of the given numbers is 5 to 48. In order for x to make the range be 67, the value of x must be 67 less than 48, or must be 67 greater than 5.

  x is 48 -67 = -19

or

  x is 5 +67 = 72

PLS HELP AND DONT PUT LINKS
Explain how to graph a scatterplot and its regression line using a regression calculator​

Answers

before you enter the data into the regression calculator, decide which variable should be on x and y axis. then enter the data pairs. press the linear regression button to create the regression line

Add, answer as a fraction:

1/15 + 3/12

A) 10/67
B) 12/27
C) 19/60
D) 4/27

Answers

It’s CCCCCC. Do you want me to tell you why or nah

Answer:

Hello, There! I'll be glad to help!

Question

1/15 + 3/12

Answer

[tex]\boxed{Option ~C. ~19/60}[/tex]

Step-by-step explanation:

[tex]\frac{1}{15} +\frac{3}{12} =\frac{1 ~x~4}{15~x~4} +\frac{3~x~5}{12~x~5} =[/tex]

[tex]\frac{4}{60} +\frac{15}{60} = \frac{19}{60}[/tex]

Therefore, Your Answer is (Option C.)

What is the range of the given function ?

Answers

Answer:

6740

Step-by-step explanation:

Answer:

There is no function provided

FYI

Domian is all x-values

range is all y-values

For ex..

(-3,6)

-3 is domain

6 is range

Step-by-step explanation:

y=2/3x constant of proportionality

Answers

Answer:

Looking at the equation, k=23 is our constant of proportionality because 23 is the constant number we multiply x by.

Plz help me with math well mark brainliest!

Answers

Answer:

15 is divided by a number

A 48 cm wire is to cut into two pieces. One piece must be cut 10 com longer than the shorter piece. How long should each peice be?

Answers

Step-by-step explanation:

short - S

long - L

L=10+S

L+S = 48

SINCE L=10+S

10+S+S=48

10+2S=48

2S=48-10

S=38/2=19

SHORT=19CM

LONG=10+S=10+19=39CM

A survey of 300 randomly selected high school students determined that 16 play organized sports.
What is the probability that a randomly selected high school student plays organized​ sports?
(Round to the nearest thousandth as​ needed.)

Answers

(a) The probability that randomly selected high school student plays organized sport is 236/300 = 59/75 = 0.787 = 78.7%.

(b) The probability means that for every 75 random students selected, 59 of them plays organized sport.

SOMEONE HELP ME PLEASE

Answers

Your answer is 34.
5 squared plus 3 squared equals 34

Answer:

h=4

Step-by-step explanation:

the height can't be smaller than 3 and higher than 5, you're making a hypothesis.

According to a study, 15 out of 50 adults have allergies. What percentage of adults do not have allergies?

Answers

Answer:

70% of adults do not have allergies.

Step-by-step explanation:

It states that 35 out of 50 adults do not have allergies. If we turn this into a fraction (35/50), we can then multiply the denominator by 2 to make it 100. We would then also multiply the numerator by 2.

35 x 2 =70

70/100 = .7

.7 is just the decimal form of 70%

do
any one need points​

Answers

Thanks for the points appreciate it hope you have a good day

9.65180 to the nearest tenth

Answers

Answer:

9.7

Step-by-step explanation:

Cotabato was struck by a series of quakes from June I to 3, 2013. The first was a 5.7 earthquake on June 1, followed by 15 aftershocks. A 4.3 and a 5.7 quake were recorded on June 2 and 3. respectively. How much more powerful was the first earthquake than the proceeding ones?​

Answers

Step-by-step explanation:

Don't mind me, just tryna get those points

help me guys I don't get this !!!​

Answers

Answer:

-2.5, 0.75

Step-by-step explanation:

When we need to find a solution to a system of equations using a graphing tool, we graph those two equations and find the point of intersection.

This is an informative article on how to do that:

https://www.dummies.com/education/graphing-calculators/how-to-find-points-of-intersection-on-the-ti-84-plus/

what is the answer for f+f

Answers

Both f's would be equal to 1 so 2

Answer:

it depends.

Step-by-step explanation:

we have to know what f means to be able to answer this question

help me guys l don't know this ??????​

Answers

PEMDAS is the order of operations. Here’s how to solve this expression:

Expression: 15+14 ÷ 2-4•5

1.) Parentheses: there are no parentheses to
simply.
2.) Exponents: there are no exponents to
simply.
3.) Multiplication and Division: multiplication and division have an equal relationship meaning one operation doesn’t have a priority over the other. So, we work left to right as to what operation comes first.

In the expression 15+14 ÷ 2-4•5, we see that 14 ÷ 2 comes first because it’s to the left.

14 ÷ 2 = 7

15+(7)-4•5 after division, now we need to multiply.

-4•5 = -20

Therefore, 15+(7)-(20) is the simplification.

4.) Addition and Subtraction: addition and subtraction come after multiplication and division and also have an equal relationship. So again, we work left to right as to which operation comes first.

In the expression 15+7-20, 15+7 comes before 7-20.

15+7 = 22

So, (22)-20 after addition. Now we need to subtract.

22-20 = 2. That’s your answer!

The least common multiple of the numbers 15, 12, 8

Answers

Answer: LCM of 8, 12, and 15 is 120.

Step-by-step explanation:

I hope this helps!

Answer:

2 and 1

Step-by-step explanation:

1 is the best which can go into

8 15 and 12

Is 500 hrs a thing? Cause my question is: Every hour you get $10, how many hours till you get to $5,000? The answer should be 500 hrs, I don't know if that's an hour

Answers

Answer:

500 Hours

Step-by-step explanation:

Yes you are right, 500 hours is not an hour and I doubt anyone can work that much, there are only 168 hours in a single week.

If we're talking reality, it would take well over a few weeks.

If its just math then yeah you would get 500.

Either way, 500 is the right answer.

A package of 3 pairs of insulated gloves costs ​$16.47. What is the unit price of the pairs of gloves​?

Answers

Answer:

$5.49 per pair of gloves

Step-by-step explanation:

16.47/3=5.49

Answer:

do 16.47 divided by 3  and thats ur answer

Step-by-step explanation:

the answer is $5.49  for 1 pair of gloves

Hi, I need help with homework on review for test.

Answers

Answer:

-24+48i

Step-by-step explanation:

yan po ata sagot

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