The function, y=1000(1.005)^x, models the value of $1000 deposited at an interest rate of 6% per year, 0.005 per month, x months after the money is deposited.

a. Graph the function on your graphing calculator to predict how many months it will be until the account is worth $1,100.

b. Predict how many years it will be until the account is worth $5,000.

Answers

Answer 1

Answer: did this on edge

a. 19 months

b. 27 years

Step-by-step explanation: hope this helps:)

1

Plug the function y=1000(1.005)^x into your graphing calculator.

2

Put a split screen table. Use the table to find where x months will equal $1100

3

~19 months=1100

4

Use the table to find where x months is equal to $5000.

5

~27 years=5000

RESULT

a. 19 months

b. 27 years


Related Questions

Evaluate the function.

g(x)=10x+3

g(19.6)=

Answers

Answer:

199

Step-by-step explanation:

plug in x=19.6, then

g(19.6) = 10 * 19.6 +3= 199

f(x) = x2. What is g(x)?

Answers

A because:

1/4 * 2^2 = 1/4 * 4 = 1

Point (2, 1)

Find the slope of the line represented by the table

Answers

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (1, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-8}{1-3}[/tex] = [tex]\frac{-6}{-2}[/tex] = 3

Which symbol will make the number sentence true?

Answers

Answer:

<

Step-by-step explanation:

8/11=0.72727272727272727272727272 just repeated over and over again so its less

Answer:

b

Step-by-step explanation:

x2+2x+3 factorization

Answers

Answer:

Not possible

Step-by-step explanation:

Given quadratic polynomial = x² + 2x + 3.

Possible factors of 3 are , 1 & 3 .

And we can get 2 from 3 and 1 in only one way that is 3 - 1 .

=> x² + 2x + 3 .

=> x² + 3x - x + 3 .

=> x ( x + 3 ) - 1 ( x - 3 )

Hence the factorisation is not possible .

A car is traveling at a rate of 48 miles per hour. If the car continues to travel at this same rate, how many hours will it take the car to travel 612 miles?

Answers

Answer:

12.75

Step-by-step explanation:

If you make a proportion: 48/1=612/x

1(612)= 612

612/48

12.75 hours

At a speed of 48 miles per hour, the car will take approximately 12.75 hours to go 612 miles.

What is the distance?

A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.

A car is traveling at a rate of 48 miles per hour.

To determine the number of hours it will take the car to travel 612 miles at a rate of 48 miles per hour, you can divide the distance traveled by the rate at which the car is traveling:

⇒ distance ÷ rate

⇒ 612 miles / 48 miles/hour

Apply the division operation, and we get

⇒ 12.75 hours

Therefore, it will take the car about 12.75 hours to travel 612 miles at a rate of 48 miles per hour.

Learn more about the distance here:

brainly.com/question/13269893

#SPJ2

in a box of sweets 7/10 of the sweets are red the rest are purple. what is the ratio of red sweets?

Answers

Answer:7:3

Step-by-step explanation:

How many 2-inch cubes are needed to completely fill a cubic box that measure 8 inches.

Answers

Answer:

It will be 64 cubes.

Step-by-step explanation:

if one side is 8 inches then 8/2 is 4

to fill one face, 4 × 4 = 16

to fill a cube 16 × 4 = 64

Answer: 64 cubes will fit

Yupjyyhttgtgthyuygrcgtchty

which statement is true regarding the functions on the graph?

Answers

Answer:

f(3)=g(3)

Step-by-step explanation:

the only one i see is that

f(3)=g(3)

because the two functions intersect there

that means the two values are the same

25 points question is below

Answers

Answer:

x - 5y = 30

Step-by-step explanation:

If you subtract x from both equations, you'll get -x. If you divide -5y, you'll end up with 1/5x and 6. The intercept doesn't matter but the slopes are parallel which means they'll never intersect anyway

good answer also makes a lot of sense you are correct

What is the equation of the line that has a slope of -3 and passes through the point (-2, 4)?
O y = -3x - 2
y=-3x
ООО
y=-3x - 4
y = -3x + 4
O y=-3x + 2

Answers

Y = -3x + b
Plug in points
4 = -3(-2) + b
4 = 6 + b, b = -2
Solution: y = -3x - 2

ANSWER ASAP ITS FOR FINALS
Name Geometry B Final ID: 1 Date Period Name the relationship: complementary, linear pair, vertical, adjacent, alternate interior, corresponding, or alternate exterior, 1) 2) the 3) 4) # Find the measure of angle b 6) 5)​

Answers

Answer:

9. 66°

10. 44°

11. [tex]2\sqrt{7}[/tex]

12. [tex]2\sqrt{3}[/tex]

13. 27.3

14. 33.9

15. 22°

16. 24°

Step-by-step explanation:

9. Add 120 + 80 (equals 200) and subtract that from 360 (Because all angles in a quadrilteral add to 360°), this equals 160. Plug the same number in for both variables in the two other angle equations until the two angles add to 160. For shown work on #9, write:

120 + 80 = 200

360 - 200 = 160

12(5) + 6 = 66°

19(5) - 1 = 94°

94 + 66 = 160

10. Because the two sides are marked as congruent, the two angles are as well. This means the unlabeled angle is also 68°. The interior angles of a triangle always add to 180°, so add 68+68 (equals 136) and subtract that from 180, this equals 44. For shown work on #10, write:

68 x 2 = 136

180 - 136 = 44

11. Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #10, write:

a² + b² = c²

a² + 6² = 8²

a² + 36 = 64

a² = 28

a = [tex]\sqrt{28}[/tex]

a = [tex]2\sqrt{7}[/tex]

12. (Same steps as #11) Use the Pythagorean theorem (a² + b² = c²) (Make sure to plug in the hypotenuse for c). Solve the equation. For shown work on #11, write:

a² + b² = c²

a² + 2² = 4²

a² + 4 = 16

a² = 12

a = [tex]\sqrt{12}[/tex]

a = [tex]2\sqrt{3}[/tex]

13. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #13, write:

Sin(47°) = [tex]\frac{20}{x}[/tex]

x = 27.3

14. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #14, write:

Tan(62°) = [tex]\frac{x}{18}[/tex]

x = 33.9

15. Use SOH CAH TOA and solve with a scientific calculator. For shown work on #15, write:

cos(θ) = 52/56

θ = cos^-1 (0.93)

θ = 22°

16. (Same steps as #15) Use SOH CAH TOA and solve with a scientific calculator. For shown work on #16, write:

sin(θ) = 4/10

θ = sin^-1 (0.4)

θ = 24°

Good luck!!

solve by using elimination 2x-6y=18 -2x + 4y = -6 ( , )

Answers

Answer:

x = -9,

y = -6

Step-by-step explanation:

2x - 6y =18

-2x + 4y = -6

you can add the equations together as is and eliminate x

-2y = 12

y = -6

then plug back in,

2x - 6(-6) = 18

2x + 36 = 18

2x = -18

x= -9

Based only on the information given in the diagram, it is guaranteed that
AJKL ~ AWXY.
27°
A
63"
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

Given

In JKL, we have:

[tex]\angle J = 27[/tex]

[tex]\angle K = 90[/tex]

In WXY, we have:

[tex]\angle Y = 63[/tex]

[tex]\angle X = 90[/tex]

Required

Is JKL ~ WXY?

In both triangles, we already have one similar angle (90)

Next, is to determine the third angles in both triangles.

In JKL

[tex]\angle J + \angle K + \angle L = 180[/tex]

We have that:

[tex]\angle J = 27[/tex] and [tex]\angle K = 90[/tex]

The expression becomes:

[tex]27 + 90 + \angle L = 180[/tex]

[tex]117 + \angle L = 180[/tex]

[tex]\angle L = 180-117[/tex]

[tex]\angle L = 63[/tex]

In WXY

[tex]\angle W + \angle X + \angle Y = 180[/tex]

We have that:

[tex]\angle Y = 63[/tex] and [tex]\angle X = 90[/tex]

The expression becomes:

[tex]\angle W + 63 + 90 = 180[/tex]

[tex]\angle W + 153 = 180[/tex]

[tex]\angle W = 180-153[/tex]

[tex]\angle W = 27[/tex]

The three angles in JKL are:

[tex]\angle J = 27[/tex]    [tex]\angle K = 90[/tex]   [tex]\angle L = 63[/tex]

The three angles in WXY are:

[tex]\angle W = 27[/tex]   [tex]\angle X = 90[/tex]   [tex]\angle Y = 63[/tex]

By comparing the angles, we can conclude that  both triangles are similar because of AAA postulate (Angle-Angle-Angle)

each package of paper contains 100 sheets. At the beginning of the school year, each of Mr.Castillo 's 34 students brought in one package of paper. How many sheets of paper did the students bring in altogether??

Answers

Answer:

3400

Step-by-step explanation:

Just multiply 100 by 34.

Find the original price of a pair of shoes if the sale price is $63 after a 30% discount.

Answers

Answer:

$90

Step-by-step explanation:

To find the original price, divide 63 by 0.7:

63/0.7

= 90

So, the original price is $90

Answer:

$90.00

Step-by-step explanation:

First of all let x be the price of the pair of shoes that you are trying to find.

next since we have 30percent off that price we have

x - 0.30x = 0.70x

which in turn is equal to 63 dollars

so our expression is

0.70x = $63

x = 63 / 0.70

= $ 90.00

Is each graph a function or not?

Answers

Answer:

IN THIS ORDER

NO

NO

YES

YES

NO

YES

Step-by-step explanation:

Hope this helped if I got it wrong, sorry ill edit it if I did :)

(a)
Evaluate each of the following:
(i)
10! X 20!
17! X 9!


Answers

Answer:

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

Step-by-step explanation:

1)

Given the expression

[tex]10!\times \:20![/tex]

[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]

[tex]10!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10[/tex]

[tex]20!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]

Now, multiplying the result

[tex]10!\times \:20!= 1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:18\times \:19\times \:20[/tex]

so

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

Thus, we conclude that:

[tex]10!\:\times \:20!=\:8.82851\:\times\:10^{24}[/tex]

2)

Given the expression

[tex]17!\:\times \:9![/tex]

[tex]\mathrm{Apply\:factorial\:rule}:\quad \:n!=1\times 2\times 3\times \ldots \times \:n[/tex]

[tex]17!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17[/tex]

[tex]9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]

Now, multiplying the result

[tex]17!\:\times \:9!=1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9\times \:10\times \:11\times \:12\times \:13\times \:14\times \:15\times \:16\times \:17\times \:1\times \:2\times \:3\times \:4\times \:5\times \:6\times \:7\times \:8\times \:9[/tex]

so

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

Thus, we conclude that:

[tex]17!\:\times \:9!\:=\:1.29072\:\times \:10^{20}[/tex]

What is the value of −|−20| + |−8| ÷ |−4| − |6|?

Answers

The answer is -24. Hope this helps

I don’t know the answer

Answers

I believe the answer would be yes. Since your dealing with Ratios it would be simple to understand that they are proportional. I'll explain a little better.

This means that if you double this ratio, it will still be equivalent to 1:3

1:3

This is also proportional because this number will always be equivalent to itself.

7:21

-----------------------------------------------------------------------------------------------------------------Hope this helps

-Miri

2 mi = ____ ft Please help! :((

Answers

Answer:

2 mi = 10560 ft

Step-by-step explanation:

you coulve searched it up

Answer:

you multiply it by 2 so its 10560

how do i right the half of x pls help will give brainliesst answer

Answers

Answer:[tex]\frac{1}{2}[/tex]x or x/2

Step-by-step explanation:

write an equation of a line that is perpendicular to given line that passes through the given point 5y+2x=-15 T(5,-5)​

Answers

Step-by-step explanation:

The answer is on the bottom if you just wanna scroll down.

The first thing that you would want to do is turn the equation of the given line into slope-intercept form (it's just easier). To do that, you would want to isolate  y on either side. So subtract 2x and divide both sides by 5 and you get: y=-2/5x-3. After you do this, remember that perpendicular lines have the negative reciprical slope of the original line. So since the slope is -2/5, the slope of a perpendicular line would be 5/2. Now you have m=5/2 which is your slope! Now you can use slope point form which is y-y_1=m(x-x_1). You know your m which is 5/2. y-y_1=5/2(x-x_1). Since we know that the line passes through the point (5,-5) we can just plug the numbers in. y-(-5)=5/2(x-5). simplify everything: y+5=5/2(x-5). Remember, math is all about making things simple and easy. since the problem didn't say a specific type of equation, you can just put that as your answer!

Answer:

y+5=5/2(x-5)

Hope this helps! (If it's wrong, plz leave sum comments. thx lol)

a line passes through the points (1, 4) and (3, –4). which is the slope of the line?

Answers

stupid thin wont load

WHATS THE ANSWER HELP

Answers

The answer to that problem is (3, 1)

Which diagram demonstrates the problem 3x 1/4

Answers

Answer:

A.

Step-by-step explanation:

3 * 1/4 = 3/4

Which answer shades 3 out of 4 blocks? A.

Answer:

the answer is A

Step-by-step explanation:

3 * (1/4) = .75.... Think about how many quarters make a dollar .75 cents is 3/4 of a dollar

Tim is clearing brush from a large piece of land. The table shows how many acres he has cleared over time. Tim clears the same amount of brush each day.
Complete the table to determine how many days it will take Tim to clear 1 acre and how many acres Tim will clear in 8 days.
Use the drop down menus to select your answers.

Answers

Answer:

first box is 3 and second is 2 2/3

Please help me 20 points!!!!!

Answers

Answer:

A. 0.4 km

B. 48 fruits to 12 vegetables

C. 72 hours

60%

Step-by-step explanation:

1 km = 1000 m

You have 400 m

1000m/1km = 400m/1000m

400/1000

0.4km

4:1

Ok so an easy way to do this one is multiplication.

you need the number of fruits to be 4 times more than the number of vegetables.

A would be 2:1 because 16 is 2 times more than 8

B would be 4:1 because 48 is 4 times more than 12

C would be 8:1 because 24 is 8 times more than 3

D would be 3:1 because 60 is 3 times more than 20

B would be the correct answer

If they traveled 216 miles in 3 hours, to find average you have to divide miles by hours.

216/3

72 hours

The tigers won 12 of their last 20 games.

12/20

0.6

Percent is 100 times the decimal.

0.6*100

60%

Don't be afraid to reach out with any more questions! I hope this helps!

What is the temperature if it is 9° colder than 15 F

Answers

Answer:

24 Degrees Farinhieght.

Step-by-step explanation:

15 degrees farinhieght added to 9 is 24 degrees.

Factor x3 + 2x2 + x completely.

Answers

Answer:

[tex] {x}^{3} + 2 {x}^{2} + x[/tex]

[tex]x(x {}^{2} + 2x + 1)[/tex]

[tex]x(x + 1) {}(x + 1)[/tex]

[tex]x(x + 1) {}^{2} [/tex]

Answer:

C. x(x+1)2 on edu 2021

Step-by-step explanation:

Other Questions
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