15 points and BRAINLIEST Alyssa invested $500 into an account. The value of the account after t years can be found using the function r(t) = 500(1.068). What is the percent annual rate of change
in the value of the account?

Answers

Answer 1

Answer:

annual rate: r = 0.068

Step-by-step explanation:

The formula is r(t) = P(1+r)^t

Since the time is already in years we just have to solve for the rate

1 + r = 1.068

r = 0.068

Answer 2

The rate of change in the value of account is 0.068

What is rate of change?

'Rate of change is used to mathematically describe the percentage change in value over a defined period of time.'

According to the given problem,

Annual rate:

r = 0.068

The formula is r(t) = [tex]P( 1 + r )^{t}[/tex]

Therefore, solving for the rate

⇒ 1 + r = 1.068

⇒ r = 0.068

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Related Questions

Figure ABCD has vertice A (5,9) B (7,5) C (5,1) D (3,5)
Which names describe ABCD?

Answers

ABCD describes a rhombus.

What is the slope of the line y= -121x + 200 ??

Answers

Answer:

Slope = - 121

Step-by-step explanation:

Step 1:

y = mx + b         Slope Intercept Form

Step 2:

m = Slope      

Step 3:

y = - 121x + 200        Equation

Answer:

Slope = - 121

Hope This Helps :)

Answer:

-121X

Step-by-step explanation:

In an equation, x= the slope, and the number that comes after is the y intercept. So 200 would be where the line starts, and would have a negative slope of -121x

I hope this helps! :)

At Imelda's fruit stand, you bought 555 apples and 444 oranges for \$10$10dollar sign, 10, and your friend bought 555 apples and 555 oranges for \$11$11dollar sign, 11. Using this information, is it possible to determine the cost of one apple and one orange from the fruit stand? If so, what do they cost? If not, why not? Choose 1 answer:

Answers

Answer:

Each apple would cost 1.20 and each orange would cost 1

Step-by-step explanation:

Answer:

See Attached!

Step-by-step explanation:

help please asap!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The answer is 3.

Step-by-step explanation:

Plug in, combine, solve.

[tex]m = - 3 \\ {m}^{2} + 5m + 9\\ ( - 3)^{2} + 5( - 3) + 9 \\ 9 + 5( - 3) + 9 \\ 9 - 15 + 9 \\ - 6 + 9 \\ 3[/tex]

Can someone pls help me?

Answers

Answer:

BCD?

Step-by-step explanation:


solve for x
11x+ 3 = X-7

Answers

Answer

x= x/11 - 10/11

Step-by-step explanation:

x over 10 take away 10 over 11

X = 10/11, good luck my dude

Which of the following shows the lengths of the sides of a right triangle?

A. 2, 3, 4

B. 5, 7, 11

C. 6, 8, 10

D. 8, 12, 15

Answers

Answer:

C

Step-by-step explanation:

use the formula a²+b²=c²

Find the distance between the two points rounding to the nearest tenth (if necessary).
(-4,2) and (2, -6)
Answer: _____

Answers

Answer:

         d = 10

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(-4,2)\quad\implies\quad x_1=-4\,,\ y_1=2\\\\(2,-6)\quad\implies\quad x_2=2\,,\ y_2=-6\\\\d=\sqrt{(2+4)^2+(-6-2)^2}= \sqrt{6^2+(-8)^2}= \sqrt{26+64}= \sqrt{100}=10[/tex]

Pls help
A.
B.
C.
D.

Answers

Answer:

The answer is A so put it

The answer is A :) hope this helps

You work as a cashier for a grocery store and earn $5 per hour. You also mow lawns and earn $10 per hour. You want to earn at least $50
per week, but would like to work no more than 10 hours per week.
Which system of inequalities, along with y0 andx
0, would you use to solve the real-world problem?

Answers

The required inequalities are x + y ≤ 10 and 5x + 10y ≥ 50

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, You work as a cashier for a grocery store and earn $5 per hour. You also mow lawns and earn $10 per hour. You want to earn at least $50 per week, but would like to work no more than 10 hours per week.

Let, you work at grocery story (x), and you work mowing lawns (y)

You want to work no more than 10 hrs

So, first inequality will deal with hrs.

x + y ≤ 10....(i)

A less than or equal to sign tells that you do not want to work more than 10 hrs, but you can still work 10 hrs, so we include the equal sign as well.

And,

Grocery store (x) earning $5 per hr and lawn mowing (y) earning $10 per hr, making at least $50...

Now we will make an inequality dealing with the $

5x + 10y ≥ 50.....(ii)

A greater than or equal to sign tells that, you want to make 50 or more, so we include the equal sign.

So, the inequalities are :

x + y ≤ 10

5x + 10y ≥ 50

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Question 3 of 10
Which choice is the solution to the inequality below?
8x <56

A.x >27
B.x < 7
C.x <48
D.x < 8

Answers

Answer:

That is quite simple,7 is the best choice

If , which equation describes the graphed function? A. y = f(-x) − 3 B. y = -f(x) + 3 C. y = -f(x) – 3 D. y = f(-x) + 3

Answers

Answer:

y=-f(x)-3

Step-by-step explanation:

when f is negative it is reflected over the x-axis and -3 means to translate 3 units down

y = -f(x) – 3 describes the graphed function.

When f is negative it is reflected over the x-axis.

-3 means to translate 3 units down.

How do you identify a function?

By using inspecting the inputs (x-coordinates) and outputs (y-coordinates), you could decide whether or no longer the relation is a function. Keep in mind, that this is a feature each input has only one output.

What are examples of graph functions?

Function Graphs.Linear. Quadratic. Cubic. Square Root. Cube Root. Absolute Value. Reciprocal.

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A bakery has 36 glazed donuts on display. This is 80% of the total number of donuts. What is the total number of donuts in the bakery?

Answers

Answer:

it is 64.8, but you have to round to the nearest number, so i would say 65 :)

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

% means out of 100, so 80% is 80/100

Let's divide 100/80 to find a scale we can use to multiply 36, 100/80 =

36 times 1.25 = 45

There's 45 donuts

Double check:

45(80/100) = 36, we're right

need help asap
please

Answers

10a + 2 + 5a - 2 = 180
15a = 180
/15 /15
a = 12


10(12) + 2
120 + 2
122


MAngle XYQ = 122°

Please help me solve these 3 problems. Solve for x state the properties used and check your answer. I’ll mark as brainliest.
a) 5(x - 2) - 6 = 24
b) 22 = (3x+5) - 18
c) -48 = -4(2x+5)+ 5x - 1

Answers

Answer:

a) 5x=8 use a calculator and use distributive property

b) 22=3x+5 -18

22=3x-13

9=3x

x=3

distributive property

c)-48= -8x-20+5x-1

-48= -3x-21

-27= -3x

x=7

distributive property

Step-by-step explanation:

6. A ball is thrown at an upward velocity of 72 feet per second from a platform that is raised 10 feet
off the ground. Use the equation y = -12 + vt + h where y is the ending height of the ball, t is the
time in seconds, v is the ball's velocity, and h is the intial height, in feet, of the ball.
How long will it take the ball to reach its maximum height, and what is that maximum height?
(Disregard any extra height added by the person throwing the ball.)

Answers

Answer:

Question 675528: A ball is thrown vertically upward with an initial velocity of 48 feet per second. If the ball started its flight at a height of 8 feet, then its height s at time t can be determined by s(t)=-16t^2+48t+8 where s(t) is measured in feet above the ground and t is the number of seconds of flight.

Step-by-step explanation:

which of the following recurisive formula's represents the same geometric sequence as the formula an=2x3^(n-1)

Answers

Answer:

{a1=2

{an =an-1 (1/2)

Step-by-step explanation:

a1 = 2(1/2)0 = 2

a2 = 2(1/2)1 = 1 = a1(1/2)

a3 = 2(1/2)2 = 1/2 = a2(1/2).

an = an-1(1/2)

Answer:

[tex]a_{n}[/tex]= [tex]3[/tex] · [tex]a_{n}[/tex] -1.

Maddie has saved $375 for a new mountain bike. Her grandmother will also give her
$215 to help pay for the bike. Which inequality can be used to find p, the price of the
bike that Maddie can afford?

Answers

Answer:

375+215 is greater than or equal to p

Step-by-step explanation:

quick maths

I need help on this please

Answers

Answer:

25/3

Step-by-step explanation:

Set the equations equal to each other since the lines are parallel.

(x+20)=(4x-5)

-x  +5       -x   +5

25/3 = 3x/3

x = 25/3

Since these equations are consecutive interior angles, they will add up to 180.
The equation will be (x+20)°+(4x-5)°=180.

(x+20)+(4x-5)=180
5x+15=180
5x=165
165/5x
=33°

You can make sure your answer is correct by putting your x back into the equation.
(33+20)+(4•33-5)
53+132-5
53+127
180

megan solved the following exponential equation for x. what did she do wrong​

Answers

Answer:

take a better photo this is blurry

Step-by-step explanation:

Which of the following is equal to the absolute value of −15?

Answers

Answer:

15

Step-by-step explanation:

the absolute value of -15 is 15

Natalee wanted to demonstrate the volume of a square pyramid. To do this, she took a hollowed out pyramid that has a base of 25 square inches and a height of 5 inches and filled it with water. She then dumped this water into a hollowed out cube that has a volume of 125 cubic inches. Enter the amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube

Answers

Answer:

The answer is below

Step-by-step explanation:

Natalee transferred water from a square pyramid to a cube. To calculate how many times she will need to dump the water from the pyramid into the cube to completely fill the cube, we divide the volume of the cube by the volume of the square pyramid. Hence:

Number of times = volume of cube / volume of pyramid

The perimeter of the pyramid base = 25 in, hence the length of one side of the bae = 25 / 4 = 6.25 in

Volume of square pyramid  = base² × (height / 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = 125 in³ / 65.1 in³ = 1.92

The amount of times that she will need to dump the water from the pyramid into the cube to completely fill the cube is 1.92.

What is volume?

The capacity of a container of any shape is called the volume.

Natalee transferred water from a square pyramid to a cube. Then,

Given is the perimeter of the pyramid base = 25 in

So, the length of one side of the base b= 25 / 4 = 6.25 in

Volume of square pyramid  = b² × (h/ 3) = (6.25 in)² * (5 in / 3) = 65.1 in³

Volume of cube = 125 in³

Number of times = volume of cube / volume of pyramid

Number of times = 125 in³ / 65.1 in³ = 1.92

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how to solve using Substitution or Elimination?
y=3x-1

y=2x+2

Answers

By elimination:

y = 3x - 1

y = 2x + 2

Subtract the second equation from the first

0 = x - 1

y = 2x + 2

Subtract the first equation from the second

0 = x - 1

y = x + 3

Subtract the first equation from the second again

0 = x - 1

y =      4

Subtract x from both sides of the first equation

- x =  - 1

y =      4

Divide the first equation by (-1)    

x =  1

y =  4

So, the solution is  x = 1  and  y = 4   {or: (1, 4)}

what is the answer to –(d+1)>3

Answers

Answer:

−(d+1)>3

Step 1: Simplify both sides of the inequality.

−d−1>3

Step 2: Add 1 to both sides.

−d−1+1>3+1

−d>4

Step 3: Divide both sides by -1.

[tex]\frac{-d}{-1}[/tex] >  [tex]\frac{4}{-1}[/tex]

d < -4

uhhh help me , i give brainliest

Answers

Answer:

36

Step-by-step explanation:

x² + 12x - 40 = 0

x² + 12x    = 40

Now, 12/2 = 6. So add 6² = 36 to each side

x² + 12x + 36 = 40 +36

hghghgghgghghghghghghghgghhgghhghghghghghghghghhghghghghghg

Answers

wow thanks is the answer

PLZ HELP I BEG I REALLY NEED HELP :)

Answers

Answer:

A

Step-by-step explanation:

A. Ur welcome if it’s wrong sorry

What's the equation of the line that passes through the points (–1,5) and (1,–1)?

Answers

Answer:

y = -3x + 2

extra characters down here

I need help anyone I'll give you 50 points, asap !!!​

Answers

Answer:

Step-by-step explanation:

d

Answer:

Letter d

Step-by-step explanation:

pls mark this as brainliest! thx :)

The price of a holiday was decreased by 12% to £600. What was the price before the decrease?
Give your answer to the nearest penny

Need this ASAP thanks

Answers

Answer:

The original price of the holiday was $ 681.81.

Step-by-step explanation:

As the price of the holiday was reduced by 12% to a value of $ 600, it can be said that this price is 88% of its original price (100 - 12). Therefore, to determine the original price of the holiday, it is necessary to perform the following calculation:

88 = 600

100 = X

(100 x 600) / 88 = X

60,000 / 88 = X

681.81 = X

Therefore, the original price of the holiday was $ 681.81.

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