Susanna deposits $400 in a savings account with an interest rate of 3% compounded annually. What equation could Susanna use to calculate
how many years it will take for the value of the account to reach $600?

Answers

Answer 1

The equation that Susanna could use to calculate how long it would take for the account to reach a value of $600 is 600=400(1.03)^x.

How is future value found?

Future value is calculated as:

= Amount x (1 + rate) ^ number of years

If the number of years is to be found and the future value is already known, then the number of years can be x:

600 = 400 x (1 + 3%) ^ number of years

600 = 400(1.03)^x

Find out more on future value at https://brainly.com/question/24703884.

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Related Questions

which expression simplifies to 3x+5

Answers

Answer:

A

Step-by-step explanation:

dose anybody know the answer?

Answers

Answer:

they want a fomula that is in respect to 'b"  sooo..

Step-by-step explanation:

just do the algebra.... like so..

a/b=c

move 'b" across = sign by multiplying by 1/b  like soo.

(1/b)*(a/b)=  (1/b)*c

a=c/b

then move the 'c' to the other side of the = sign  by multiplying by 1/c

(1/c)*a = (1/c)*(c/b)

a/c = b    

makes sense  , also.. as a way to speed that up.. just remember you can just swap the  'b'  and 'c'  in that first equation  

b = a/c

A video game store sold 135 copies of a new release game in June. In July, they sold 108 copies of the same game. What is the percent decrease in the sales of this game from June to July?

Answers

the percent decrease is 20%

percent decrease: decrease/old price * 100%

Subtract:

135 - 108 = 27

Fill into formula,

= 27/135 * 100%

= 1/5 * 100%

= 0.20 * 100%

= 20%

therefore, the percent decrease is 20%!

A family of three would like to reduce their water footprint so that it is 75% of the typical American's water footprint. Which calculation shows how they can estimate their target water footprint for one day? There may be more than one correct answer.

Answers

Answer:

hello your question is incomplete attached below is the missing part of the question

answer : option 1 , 4 and 6

Step-by-step explanation:

Given that the water footprint for a typical American is 2483 m^3/year

The correct answers are :

option 1):   3 * ( 2500 * 0.75 ) / 365

option 4):   3 *  2500 * 0.75 / 365

option 6) :  ( 3 * 2500 * [tex]\frac{3}{4}[/tex] ) / 365

Mr joseph bought 9 pounds of fertilizer for his lawn he uses 2 2/3 pounds for his backyard and 1 2/9 pounds fo rdd hi front yard how much fert I'll lizer is left

Answers

Answer:

5 pounds

Step-by-step explanation:

Total pounds of fertilizer purchased purchased for lawn = 9 pounds

Amount used for backyard = 2 2/3 pounds

Amount used for front yard = 1 2/9

Amount of fertilizer left :

Total amount purchased - total. Amount used

Total amount used :

(amount used for backyard + amount used for front yard)

(2 2/3 + 1 2/9) = (8/3 + 11/9) = (24 + 11) / 9

= 36 / 9

= 4 pounds

Amount of fertilizer left :

Total amount purchased - total. Amount used

9 pounds - 4 pounds

= 5 pounds

Answer:

5 pounds

Step-by-step explanation:

I NEED HELP! will give brainliest, please show your work
Philip made a total of 9 bracelets and necklaces from 120 inches of cord.
He used 8 inches of cord for each bracelet and 20 inches of cord for each necklace.
Use matrices to find the number of bracelets and the number of necklaces that Philip made.
number of bracelets=
number of necklaces=

Answers

Answer:

number of bracelets= 5

number of necklaces= 4

Step-by-step explanation:

* I don't know how to show a matrix with a keyboard so I'm just going to do two lines of brackets to represent the matrix.

b=bracelets

n=necklaces

[8   20  | 120]

[b   n    |  9   ]

You should put this into a graphing calculator:

[8   20  | 120]

[1     1    |  9   ]

Then use reduced row echelon form which equals:

[1   0   |   5]

[0   1   |   4]

The top line being the number of bracelets and the bottom line being the number of necklaces  

A cave explorer travels 12.9 m eastward, 3.4 m northward, and finally 3.4 m
southward. In which direction did the explorer end up traveling?

Answers

Answer:

12.26 m, north-west

Step-by-step explanation:From the figure the displacement can be calculated by the Pythagorean law. In this the triangle ABC is the right angle triangle with hypotenous h, base 12 m, and height 2.5 m.  Therefore the net displacement is 12.26 m and the displacement we know it is vector quantity and it is the shortest distance between the two points. Therefore the displacement is from point B to A. Then the net displacement is the direction in the north-west direction with a magnitude of 12.26 m.

Round the money below to the nearest dollar.
$ 5.9091
$ 229.74289

Answers

Answer:

1. $6

2.$230

Step-by-step explanation:

Base it of the tenths place. If it is more than five you round up

Answer:

$6 and $230

Step-by-step explanation:

James, Priya, and Siobhan work in a grocery store. James makes $9.00 per hour. Priya makes 20% more
than James, and Siobhan makes 5% less than Priya. How much does Siobhan make per hour?

Answers

Priya makes $10.8
Siobhan makes $10.26

Answer:

Step-by-step explanation:

Don't be too quick to answer 15% of some number. It may be right, but it is likely not.

James makes 9.00 dollars an hour

Priya makes 20% more than James. Stop. Figure that out.

9.00 * 1  + 25/100 * 9 = 9.00 + 2.25 = 11.25

Now, you can figure out 5% less.

Siobhan = 11,25 - 5/100 * 11.25

Siobhan = 11.25 - 0.05 * 11.25

Siobhan = 11.25 - 0.5625

Siobhan = 10.6875 = 10.69

There is no other way that I know of to go directly to Siobhan's wage other than doing it the long way -- at least for the level of math you are taking.

9 * (1.2 - 0.05) might work.

9 * (1.15)

= 10.35 which is close, but not correct.  

Moral: do the math. Don't accept a guess as an answer.

Factor the GCF4x^2+36x=-72

Answers

Answer:

x^2 + 9x = - 18

Step-by-step explanation:

GCF  is 4  So divide both sides by 4

4x^2 / 4 = x^2

36x/4  = 9x

- 72 /4 = -18

The difference of five times the cube of x and two times the square of x is 18

Answers

Answer:

x=3√2 or x=4

Step-by-step explanation:

5*x^3-2*x^2=18

x^2(5x-2)=18

x^2=18 or 5x-2=18

x=√18 or 5x=20

x=√9*2 or x=4

x=3√2 or x=4

Anyone read yaoi?
i finished all of them
plz help i need to fill this void in my soul
any recomendations?

Answers

Answer:

um ever watched banana fish? or go on wattpad?

Step-by-step explanation:

Answer:

You can read (if u have not read it yet) Seashell Boy, When the yakuza fall in love, Don´t pick up the soap, Love is an illusion, Bj Alex, Your wish is my command, Better than strangers. etc.

Step-by-step explanation:

R(3, 8) is dilated by a factor of 5, centered at (2, 10). Write the coordinates of R’.

Answers

Answer:

The coordinates of R' are [tex]R'(x,y) = (8,-2)[/tex].

Step-by-step explanation:

According to Linear Algebra, dilation consist in expanding a given vector with  respect to one of its endpoints by a scalar. That is:

[tex]R'(x, y) = C(x,y) + k\cdot [R(x,y)-C(x,y)][/tex] (Eq. 1)

Where:

[tex]R(x, y)[/tex] - Original location with respect to origin, dimensionless.

[tex]C(x,y)[/tex] - Point of reference with respect to origin, dimensionless.

[tex]k[/tex] - Dilation factor, dimensionless.

[tex]R'(x, y)[/tex] - Dilated point with respect to origin, dimensionless.

If we know that [tex]R(x,y) = (3,8)[/tex], [tex]C(x,y) = (2,10)[/tex] and [tex]k = 5[/tex], then the dilated point is:

[tex]R'(x,y) = (3,8) +5\cdot [(3,8)-(2,10)][/tex]

[tex]R'(x,y) = (3,8)+5\cdot (1,-2)[/tex]

[tex]R'(x,y) = (8,-2)[/tex]

The coordinates of R' are [tex]R'(x,y) = (8,-2)[/tex].

.$10,000 at 4.2% for 5 years

Answers

Answer:

2100

Step-by-step explanation:

what are the 2 clsest integers to 300

Answers

Answer:

299 and 301

Step-by-step explanation:

An integer is colloquially defined as a number that can be written without a fractional component.

Therefore the two closest integers to 300 are 299 and 301.

Eric spent $14 on a shirt and some socks. if the shirt cost $6 and each pair of socks cost $2 then how many pairs of socks did he buy?

Answers

Answer:

4 pairs of socks or 8 socks

Step-by-step explanation:

14$-6$=8$

8 dollars spent on socks. 2 socks = 2 dollars

8/2=4

so 4 pairs of sock

Answer: 4 pairs of socks


Explanation:
6-14 = 8
8/2 = 4
Check:
(4*2) + 6 =14$

whats transitive property

Answers

Answer:

It tells us that if A=B and B=C, then A=C. The transitive property of order uses the same idea, except with < or ">> signs instead of = signs

Step-by-step explanation:

Answer:

the transitive property states that: If a = b and b = c, then a = c. In other words, if a is related to b by some property, and b is related to c by the same property, then a is related to c by that property.

Step-by-step explanation:

Becky babysits her younger siblings for $5.00 for the first hour and $3.00 for each
remaining hour. She never babysits them for more than 4 hours. Becky wrote the
following equation to calculate the amount of money, y, she will receive after babysittin
for h hours.
y = 5 + 3(1 - 1)
Which is a reasonable range for the given situation?
A. 1 B. 5 C. 3 D. 3

Answers

Answer:

b

Step-by-step explanation:

Answer:

B. 5

Step-by-step explanation:

If you are looking at this equation, you have to follow order of operations. First, you start with the parentheses. 1-1=0. Next you multiply 3(0) to get 0. 5 + 0= 5.

A direct variation function contains the points (–9, –3) and (–12, –4). Which equation represents the function? y = –3x, y = equals StartFraction x Over 3 EndFraction. y = equals StartFraction x Over 3 EndFraction. y = 3x

Answers

Answer:

y=3/4x

Step-by-step explanation:

Better known as C.

I chose this answer choice because I pulled up a graphing calculator and the result I got was y=3/4x (aka, C)

The equation that best represents the direct variation function is y = 3/4x; option C.

What is direct variation function?

A direct variation function is a function in which the domain and range of a function varies directly.

The direct variation function contains the points (–9, –3) and (–12, –4)

Therefore, the equation that best represents the direct variation function is y = 3/4x.

Learn more about direct variation functions at: https://brainly.com/question/6499629

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A pair of basketball shoes normal shoes is 120 jordan bought it at a discount of 10% he had to pay 8% tax on the discounted price. If jordan put 15% of the cost including tax as a down payment how much money did he have to pay for the down payment

Answers

9514 1404 393

Answer:

  17.50 down

Step-by-step explanation:

After the discount, the price is 100% -10% = 90% of the original.

After the tax, the amount owed is 100% +8% = 108% of the discounted price.

The amount Jordan put down is 15% of the amount after tax, so is ...

  120(0.90)(1.08)(0.15) ≈ 17.50 . . . down payment

Answer:

$17.50

Step-by-step explanation:

Bryson is jogged at a constant rate of constant speed he starts a timer when he is 20 feet from his starting position. after 5 seconds, Bryson is 80 feet from his starting position. write a linear equation in slope-intercept form to find the distance d of bryson from his starting position after t second​

Answers

Answer:

d = 4t + 60

Step-by-step explanation:

If Bryson jogged at a constant rate of constant speed and he starts a timer when he is 20 feet from his starting position. after 5 seconds, his speed will represent the slope of the required equation:

Speed = distance/time

Speed = 20 feet/ 5 secs

Speed = 4ft/s

Hence the slope of the equation is 4ft/s

Next is to get the intercept c

Standard equation that represents the expression is:

d = mt+c

d is the distance of bryson from his starting position

To get the intercept c, substitute d = 80, m = 4 and t = 5 into the equation as shown:

80 = 4(5) + c

80 = 20 +c

c = 80 - 20

c = 60

Get the equation:

Substitute m = 4 and c = 60 into the original equation

d = mt + c

d = 4t + 60

Hence a linear equation in slope-intercept form to find the distance d of bryson from his starting position after t second​ is d = 4t + 60

Sam likes to make sweet black tea every morning. She uses 0.5 liters of boiling water with 2 tea bags and lets it steep. After 5 minutes, she removes the tea bags and adds 4 teaspoons of sugar. What is her ratio of teaspoons of sugar to tea bags? Group of answer choices 1:2 2:1 2:4 5:4

Answers

Answer:

2:1

Step-by-step explanation:

Sam likes to make sweet black tea every morning. She uses 0.5 liters of boiling water with 2 tea bags and lets it steep. After 5 minutes, she removes the tea bags and adds 4 teaspoons of sugar. What is her ratio of teaspoons of sugar to tea bags?

She uses:

2 Tea bags

4 teaspoons of sugar

Ratio of teaspoons of sugar to tea bags

= 4 : 2

= 2:1

Which of the following fractions is not equivalent to 2? 3/6 10/5 2/1 1 4/4

Answers

Answer:

3/6 is the correct answer

if you can explain how 1=2 ill give 100 points plus brainiest
I'm starting off with 25 now cause I won't believe u at first but then I ask u a few questions, then ill give u 75 more. ok, START!
(i already know the answer so NO GOOGLE!!!)

Answers

Answer: 1 + 1

Step-by-step explanation:

Answer:

i1

Step-by-step explanation:

(4 x 10 ⁹) / (5 x 10 ⁷)

Answers

Answer:

80

Step-by-step explanation:

(4/5) x 10^(9-7)

= (4/5) x 10^2

= 4/5 x 100

= 400/5

= 80

Answer:

80

Good Luck!!!

A circles circumference is approximately 44 cm. 1.The circles diameter is approximately______ cm. Enter a numerical value and round to the nearest tenths

Answers

Answer:

7

Step-by-step explanation:

44/2/(3.14) equals 7.006 or 7.

Which line has the mistake ?

Answers

the mistake is that you didn’t invert the (< )after changing the valuable sign from negative to positive , so it might be the line 3 or 4 , hope this help !

Sarah is cutting ribbons for a pep rally. The length of each ribbon needs to be 3.29 inches. If she needs 1,00 ribbons, what is the length of ribbon Sarah needs?

Answers

Answer:

3,290 inches of Ribbon

Step-by-step explanation:

Assuming that Sarah needs a total of 1,000 Ribbons we would simply need to multiply this total amount by the size of each individual Ribbon, which according to Sarah is 3.29 inches. This is because this would be like adding the size of each individual ribbon to get the total length. Like so...

1,000 * 3.29 = 3,290inches

Therefore, Sarah would need a total of 3,290 inches or

3,290 / 12 = 274.16ft of ribbon

Help plz plz plz help with math

Answers

It’s B , because 1 is not a fraction , it’s a whole number

The 95% confidence interval for a certain proportion p is from 0.23 to 0.63. We conducted a hypothesis test for p. The null hypothesis is H0:p=a . The alternative hypothesis is Ha:p≠a. What is the mean for the all possible values of a which would not be rejected as plausible values of the population proportion at a 5% significance level? The mean for the all possible values of a which would not be rejected as plausible values of the population proportion at a 5% significance level is .

Answers

Answer:

The answer is "0.43"

Step-by-step explanation:

Population proportion normal distribution is suggested as following:

Confidence Interval = [tex]P \pm Z \times \sqrt{\frac{P \times (1 -p)}{n} }[/tex]

Confidence Interval = [tex]P \pm E[/tex]

Bottom bound [tex]= P-E = 0.23[/tex]

Lower bound [tex]= P + E = 0.63[/tex]

Through connecting additional formulas, we're getting,

[tex]\to 2P = 0.23+0.63\\\\\to 2P = 0.86\\\\\to P= \frac{0.86}{2}\\\\[/tex]

        [tex]= 0.43[/tex]

The average with all attribute outcomes a whereby the demographic proportion at 5 % isn't dismissed as plausible values is 0.43.

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