Your laptop died and you need a new one for work NOW! The one you need will cost $500. You do not have the cash in your checking account, so you decide to borrow the money from your savings account. You have $9,000 in your savings account gaining 3% interest per year. If you don't replace the $500 in the savings account, how long will it take before the balance again reaches $9,000?

Answers

Answer 1

Answer:

2 years

Step-by-step explanation:

If you have $9000 in the saving account, and you take $500, you are left with:

$9000 - $500 = $8500

in one year you will have 3% more of the 8500 which is:

8500/100*3 = $255

so in one year the number on your savings account is:

8500 + 255 = $8755

and by the next year you will have 3% more of the 8755 which is:

8755/100*3 = $262.65

so in two years the number on your savings account is:

8755 + 262.65 = $9017.65

which is a little bit more than the $9000.

so it will take 2 years until the calance again reaches $9000

Please mark braniliest if this reaches 2 answers because I want to get to Expert ;w;


Related Questions

A scuba diver returning to the surface swims to move up quickly, then waits a few meters below the surface to avoid pressure issues. They complete the ascent more slowly. The function f represents the diver's distance from sea level over time, in seconds. Which of the following is true for f? f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7 Group of answer choices The domain is the depth interval (−26, 1). The domain is the depth interval (−9, 1]. The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7. The domain is the time interval (−9, 7). Group of answer choices domain: (–3, 3] negative: (–3, –2), (2, 5] range: (–3, 4] decreasing: (–1, 4) increasing: (–3, –1) positive: (–2, 2)

Answers

Answer:

See below

Step-by-step explanation:

Given:

f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7

Combination of domain for the function is the following union:

(-9, 2]∪ (-2, 1]∪(1, 7)  = (-9, 7)

Group of answer choices:

The domain is the depth interval (−26, 1).

incorrect as (-26, -9) interval is not covered in given function

The domain is the depth interval (−9, 1].

incomplete range

The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7.

incorrect as doesn't include x = -2 and x = 1

The domain is the time interval (−9, 7).

This is correct as it is same with the domain set we got above.

Find the midpoint of the segment with the given endpoints. (8, 0) and (- 10, 4)

Answers

Answer:

  (-1, 2)

Step-by-step explanation:

The midpoint coordinates are the average of the end point coordinates:

  M = (A +B)/2

  M = ((8, 0) +(-10, 4))/2 = (8-10, 0+4)/2 = (-1, 2)

The midpoint is (-1, 2).

An object is translated by (x - 2; y- 6). If one point in the pre-image has the coordinates (-3, 7), what would be the
coordinates of its image?
(-5,1)
(-1, 13)
(-1,7)
(-9,5)

Answers

Answer:

(-5,1) would be the coordinates of its image

Answer:

(5,1)

Step-by-step explanation:

hope this helps

-19a = -174.8
Solve equation

Answers

Answer: a = 9.2

Step-by-step explanation: -174.8/-19 = 9.2

Answer:

21

Step-by-step explanation:

21

What is the vertex of the graph of y = 1/4 (x - 2)^2+ 6?
(0,7)
(4,7)
(2,6)
(-2,-6)

Answers

Answer:

focus | (2, 7)

vertex | (2, 6)

semi-axis length | 1

focal parameter | 2

eccentricity | 1

directrix | y = 5

Step-by-step explanation:

I am an odd number.my digits add up to 7. i am bigger than 50 and smaller than 100.who am i?

Answers

Answer:

61

Step-by-step explanation:

i hope this is correct lol

simply: -2 1/3 - (-10 1/6)

Answers

Answer: 7.83

Step-by-step explanation:

Answer:

−8/3≈−2.666666667

Step-by-step explanation:

-2 1/3 - (-10 1/6)

Multiply −2 times 2/1=0.5.

−1−10×( 1/6 )≈−2.666666667

Multiply 10 and 1/6≈0.166666667 to get 10/6≈1.666666667

−1− 10/6 ≈−2.666666667

Reduce the fraction 10/6 ≈1.666666667 to lowest terms by extracting and canceling out 2.

−1−5/3 ≈−2.666666667

Convert −1 to fraction −3/3 =−1.

− 3/3−5/3≈−2.666666667

Since −3/3 =−1 and 5/3 ≈1.666666667 have the same denominator, subtract them by subtracting their numerators.

−3−5/3 ≈−2.666666667

Subtract 5 from −3 to get −8.

-8/3=−2.666666667

A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 260 m and the minimum diameter, 500 m above the base, is 180 m. Find an equation for the tower. (Assume the position of the hyperboloid is such that the center is at the origin with its axis along the z-axis, and the minimum diameter at the center.)

Answers

Answer:

(x/90)² + (y/90)² - z²/343750

Step-by-step explanation:

we assume that the horizontal cross-sections are circles,

From our equation

a= b

Given the minimum diameter as 180

The trace= ,0

Minimum radius a= 180/2= 90

The base of the tower is the trace in Z = -500

using the equation of hyperbole of one sheet below

(x/a)² + (y/b)² - ( (z/c)²=1

a= 90

+((-500)²/c)²

x² +y²=90²+ 55000²/c²

diameter at base= 260/2=130m

130² + 55000²/c²= 130²

We can find c

c²=55000²/(130²/90²) = 1210000/8800

= 343750

hence, the equation is

(x/90)² + (y/90)² - z²/343750

what is the area of this triangle? and can you give me the equation on how to solve it? thank you!

Answers

The area of the triangle is 4.75.
You times 1.9 (the height) and 5 (the base) then divide the product by 2.
A = 1.9km x 5km / 2

d= V(x2 – x1)2 + (y2 – yy)2

Answers

Answer:

y = 2

Step-by-step explanation:  divided both from each side

∠CAT and ∠TAD is a linear pair. If m∠CAT = 14 and m∠TAD = x+10, find x.
(show work please)

Answers

Answer:

156

Step-by-step explanation:

Since, ∠CAT and ∠TAD is a linear pair.

Therefore,

∠CAT + ∠TAD = 180°

14° + (x + 10)° = 180°

(x + 24)° = 180°

x + 24 = 180

x = 180 - 24

x = 156

Phyllis, Kelly, Erin, and Renee bought a gift for their dance instructor. The total cost of the gift, 1 including tax, was $55.80. Erin paid $14, Kelly paid of the cost, Renee paid 25% of the cost, and Phyllis paid the remaining cost. What amount did Phyllis pay? $41.80​

Answers

Answer:27.85

divide 55.8 by 100 and you get 0.558 and then multiply that by 25 which is 13.95 and then add that with 14 dollars.That equals 27.95 dollors for kelly and renee and then lastly subtract the 27.95 dollars from the total amount of the price to get phyllis's price

A rule of thumb for estimating the size of a crowd is that 2 people take up
5 square feet. If a club has a dance floor that is 30 x 20 feet, how many
people could crowd onto the floor?

Answers

Answer:

120 people

Step-by-step explanation:

Length of dance floor = 30 ft

Width of dance floor = 20 ft

Given that 2 people will occupy 5 ft² of space, the number of people that will crowd the floor of the dance floor is calculated as follows:

= Area of dance floor ÷ 5 ft²

= (30*20) ÷ 5

= 600 ÷ 5

= 120.

120 people will crowd the dance floor.

it takes 3/5 of a gallon of paint to cover 2/3 of a wall. how many gallons is this per wall

Answers

Answer:

9/10

Step-by-step explanation:

3/5 gallon paint = 2/3 of wall

if you divide 3/2 each side then...

9/10 gallon of paint = 1 wall

Answer:

1/5 of a wall

Step-by-step explanation:

if you take 3/5 and divide it by 2/3 then you get 1/5

11-3(a-2)=27 I NEED TO SHOW WORK HELP

Answers

Answer:

3.3 recurring

Step-by-step explanation:

1) expand bracket

11-3a+6=27

2)rearrange equation

11+6=27+3a

11+6-27=3a

17-27=3a

-10=3a

-10/3=a

a=3.3 recurring

Answer:

a= - [tex]\frac{10}{3}[/tex] or -3.33

Step-by-step explanation:

[tex]11-3(a-2)=27[/tex]

subtract 11 on both sides; 27-11=16

[tex]-3(a-2)=16[/tex]

divide both sides by -3

[tex](a-2)=-\frac{16}{3}[/tex]

add 2 on both sides

[tex]a=-\frac{16}{3} +2[/tex]

a=[tex]-\frac{10}{3}[/tex]

Shawn is starting a woodworking project for which he needs a large number of 2x4s. He plans to buy 2x4s that are 6 feet in length and cut them into the following sizes: eight pieces that are 12.5 inches long • six pieces that are 8.75 inches long • nine pieces that are 6.25 inches long Note: A 2x4 ("two by four") is a rectangular piece of wood that is two Inches high and four inches wide, as shown in the picture. It can have varying lengths. The 2x4s that Shawn is buying have a length of 6 feet, or 72 inches. 6' or 72" 2" 4" Find the most efficient way for Shawn to cut these pieces. In other words, what is the fewest number of boards he can cut from? Describe for Shawn the most efficient way to cut his boards. You may include a diagram if you wish.​

Answers

Answer:

The fewest amount number of boards Shawn can cut from is 3.... Im not very sure... Ive been stuck on this answer, too

3x 40° to Sum of angle measures: 180°​

Answers

Answer:

yes

Step-by-step explanation:

0.2, 0.19, 3/5
Greatest to least

Answers

3/5, 0.2, 0.19

3/5 is equal to 0.6

Answer:

3/5 , .2, .19

Step-by-step explanation:

.2= 20/100

.19 = .19/100

3/5 = .6= 60/100

Heidi Muir, a sporting goods wholesaler, purchased goods from a supplier for $3,400. The
supplier offers a 3% discount if the invoice is paid within 10 days; if not paid within 10 days, the
full amount must be paid within 30 days of the invoice date. Use the formula to find the annual
rate Heidi, in effect, is paying the supplier if she fails to pay the invoice at the end of the discount
period

Answers

Answer:

56.44%

Step-by-step explanation:

From the question, we have the following values

% Discount = 3%

Full allowed payment days = 30 days

Discount days = 10 days

1 year = 365 days

The formula for Effective Annual rate or Annual rate in effect =

Discount %/(1-Discount %) x (365 days/(Full allowed payment days - Discount days))

= 3%/(1 - 3%) × (365 days/30 days - 10 days)

= 0.03/(1 - 0.03) × (365/20)

= 0.03/0.97 × (365/20)

= 0.5644329897

Converting to percentage

0.5644329897 × 100

= 56.44329897%

Approximately = 56.44%

Therefore, the annual rate Heidi, in effect, is paying the supplier if she fails to pay the invoice at the end of the discount period is 56.44%

Solve the equation for y in terms of x
12x + 3y = 12

Answers

Answer:

y = 4 - 4x

Step-by-step explanation:

Step 1: Write equation

12x + 3y = 12

Step 2: Subtract 12x on both sides

3y = 12 - 12x

Step 3: Divide both sides by 3

y = 4 - 4x

Answer:

12x + 3y = 12

3y=12-12x

y=(12-12x)/3=3(4-4x)/3=4-4x

12(p - 5) - 12 = 0
Please help quick!!!!! This is due at 8:00 AM!!!!!

Answers

12(p-5)-12=0
You add 12 to both sides
12(p-5)=12
Divide both sides by 12
P-5=1
Then we add both sides by 5
P=1+5
Which gives us P=6

2. Construct the perpendicular bisector of CD. Label the intersection of CD and the perpendicular

bisector point M. (5 points)

From c to d line

I need help fast

Answers

Answer:

Step-by-step explanation:

A bisector is a line that divides an angle or a line into equal halves. In the case of a given line, the bisector will always be perpendicular to it.

To bisect CD, draw CD to the required length.

Open the compass to a radius greater than the the middle of CD.

With C as the center and the radius, describe an arc above and below CD. Repeat the same using D as the center.

Join the point of intersection of the two arcs by a line.

Label the point where the bisector passes through CD as M.

The construction would be as what is attached to this answer.

if x=3 and y= 2 cm what is the perimeter of the plygon

Answers

Answer:

where is the image then i will comment the ansewr thanks

Step-by-step explanation:

Answer:

99

Hope this helps you guys!

plz help me with these two questions ( show work plz)​

Answers

Step-by-step explanation:

3. 7 = -2y + 4

2y = 4 - 7

2y = -3

y = -1.5

5. -3x - 2 = -17

17 - 2 = 3x

15 = 3x

3x = 15

x = 15/3

x = 5

matt and craig run into each other at the batting cages they wonder why they didn't see each other more often since they have practices there regularly matts coach takes him there every 7 days and craigs teacher takes him there every 4 when will they see each other again

Answers

They will see each other again in 28 days

Answer= 28

Ten less than 3 times a number is the same as the number plus 4.​

Answers

Step-by-step explanation:

10 - 3x = x-4

Collect like terms

10 +4 = x + 3x

14 = 4x

Divide both sides by 4

X = 14

4

= 7

2

= 6 1

2

Or

= 6.5

A car rental agency advertised renting a car for $26.95 per day and $0.24 per mile. If Kevin rents this car for 3 days, how many whole miles can he drive on a $250 budget?
miles (Round down to the nearest whole mile.)

Answers

Answer: 26.95 * 3 = 80.85

              250/0.24 = 60

             

what is the capital of poland?​

Answers

Answer:

Warsaw is capital of poland

Answer:

Warszawa

Step-by-step explanation:

This table displays the height of water as a pool is being Use the table to interpret the rate of change.
filled.
What is the change for each consecutive input?
Time (min)
Height
(in.)
What is the change for each consecutive output?
10
3.75
What is the rate of change for the relationship?
11
4.1
VVU
ለለለ
12
4.45
13
4.8

Answers

Answer: the first one is 1 the second and third is 0.35

Step-by-step explanation:

I jus guessed and got it right someone else has to explain sorry

Answer:  1.)  1

               2.)  0.35

               3.)  0.35

Step-by-step explanation:

what is the solution to 8t+5= 6t+1 ?
(variables on both sides

Answers

Answer:

8t+5=6t+1

2t+5=1

2t=-4

t=-2

Step-by-step explanation:

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