Lisa invests the $1500 she received for her 13th birthday in a brokerage account which earns 4% compounded monthly. Lisa's Dad offers to sell her his car when she turns 17. The car is worth $5000 and is depreciating at a rate of 10% per year. Will Lisa have enough money to buy the car? If yes, how much will she have left over? If no, how much is she short? ​

Answers

Answer 1

As she has $6734.86 amount therefore she can buy the car.

Given that,

The amount of investment = p = $1500

time = t = 13 year

Rate of interest = 4% = 0.04

Compounded monthly therefore,

n = 12

Since we know the compounding formula

⇒ A = \(P(1 +r/12)^{nt}\)

       = \(1500(1 + 0.04/12)^{(12)(13)}\)

       = $2520.86

Now for car it is given that

Present value of car = P  = $5000

Rate of deprecation = R = 10% = 0.01

time = n = 17 year.

Since we know that,

Deprecation formula,

     Aₙ = P(1-R)ⁿ

⇒  A = \(5000(1-0.01)^{17}\)

        = 4214

Thus the total amount Lisa have = 2520.86 + 4214

                                                      =  6734.86

Since car is worth $5000

And she has  $6734.86

Therefore, she can buy the car.

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Related Questions

6. Name the Imperial units for:
a. Length:
b. Mass:
c. Capacity:

Answers

The imperial unit of length are inches, feet, miles etc, the imperial units of mass are pounds, ounces and the imperial units of capacity are pints, quarts, gallons etc

What are imperial units?

The imperial system of measurement is defined as a system of measuring quantities such as length, mass, volume, area, etc in the units that are commonly used in the UK, and other commonwealth countries. The units used in this system include inches, feet, pounds, gallons, tons, fluid ounces,

The imperial unit of length could be inches, feet, miles etc.

The imperial unit of mass is pounds, ounces

The imperial unit of capacity is pints, quarts, fluid ounces etc.

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x/20=2/8
x=__
pls explain the steps

Answers

Answer:

Today: Thursday, 15 October 2020

Hour: 04.09 WIB (in Indonesian)

____________________________

x/20 = 2/8

20 × 2 = 8 × x

40 = 8x

x = 40/8

x = 5

Make a table of values for the following equation. Then graph the equation.
y = x + 2
.....
Complete the table of values below.
х
у
- 3
- 1
0
1
3
(Simplify your answers.)

Answers

06069594493929292922

Someone please help me with this I got 0 clue what I'm doing with it

Someone please help me with this I got 0 clue what I'm doing with it

Answers

Answer:

3rd choice down

f(x) = -1/2x + 8

Step-by-step explanation:

find the slope of the line using the 2 given points:

slope = m = (8-14) / (0--12) = -6/12 = -1/2

read the y intercept right off the graph at point (0,8):

b = 8

f(x) = mx + b = -1/2x + 8


Please help me with this question:))

Please help me with this question:))

Answers

would be the third one: x=2

Answer:

x = 2

Step-by-step explanation:

Given

- 2(1 - 4x) = 3x + 8 ← distribute left side

- 2 + 8x = 3x + 8 ( subtract 3x from both sides )

- 2 + 5x = 8 ( add 2 to both sides )

5x = 10 ( divide both sides by 5 )

x = 2

How do you factorise α²-b²

Answers

Answer:

this is perfect square a-b

(-6)(2) + (-8÷4) what is the anwer?

Answers

Answer:

-14

Step-by-step explanation:

(-6)(2)= -12

(-8÷4)= -2

-12+(-2)= -14

Solve for m. 4+ |7 _ m |=5​

Answers

assuming that the underscore is a subtraction sign, m=6, m=8
M=6 M=8


Hope that helpssssss have a nice dayyyyyy:)

Write an equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400). enter your answer in simplest form.

Answers

The equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is 2400.

To relate the flow of water from the 8-inch pipe to the flow of water from the 4-inch pipe, we can use the equation of continuity, which states that the product of the cross-sectional area of a pipe and the velocity of the fluid is constant.

Let's assume that the velocity of water flowing through the 8-inch pipe is V1 and the velocity of water flowing through the 4-inch pipe is V2. The cross-sectional area of the 8-inch pipe is A1 = π\((8/2)^2\) = 64π square inches, and the cross-sectional area of the 4-inch pipe is A2 = π\((4/2)^2\) = 4π square inches.

According to the equation of continuity, A1 * V1 = A2 * V2.

Substituting the given values, we have:

64π * V1 = 4π * V2

Simplifying, we get:

16V1 = V2

So, the equation to relate the flow of water from the 8-inch pipe (1600) to the flow of water from the 4-inch pipe (2400) is:

1600 * 16 = 2400

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For her yearly vacation, Andrea plans to spend $1,124 on plane tickets, $150 on food, $272 on accommodations, and $60 on souvenir expenses. How much should Andrea budget monthly for this vacation? Round answer to a whole number. Do not include the units.

Answers

Monthly budget = $1,606 / 12, Monthly budget = $133.83 (rounded to the nearest cent). Therefore, Andrea should budget approximately $133.83 per month for her vacation.

How is Budget for a trip calculated?

We must tally up all of Andrea's costs and divide the total by the number of months she has to save to determine how much she should set aside each month for her vacation. If she has a year to save for her trip:

Overall costs are $1,124 plus $150 plus $272 plus $60.

The entire cost was $1,606.

Budget for each month equals the sum of the months' expenses.

Monthly spending limit = 1,606/12

Budget each month: $133.83 (rounded to the nearest cent)

Andrea should therefore save aside roughly $133.83 every month for her vacation.

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Which statement about nuclear fission is correct?(1 point)
Responses

Nuclear fission takes place in the nucleus of atoms.

Nuclear fission is used to generate water at nuclear power plants.

The fuel for nuclear fission is often helium.

Nuclear fission releases small amount of energy.

Answers

Nuclear fission takes place in the nucleus of atoms is the answer

Answer:

(A) Nuclear fission takes place in the nucleus of atoms

Step-by-step explanation:

I took the test!

Explain why the value of 0.6 is greater than the value of 0.39.
A 0.39 is greater than 0.6 because 9 hundredths is greater than 6 tenths.
B 0.39 is less than 0.6 because 3 tenths is less than 6 tenths.
C 0.6 is greater than 0.39 because 6 tenths is greater than 9 hundredths.
D 0.6 is less than 0.39 because 6 tenths is less than 9 hundredths.

Answers

The value of 0.6 is greater than the value of 0.39 because; C 0.6 is greater than 0.39 because 6 tenths is greater than 9 hundredths.

How to evaluate decimal number digits?

When we are talking about decimals, the left hand side before the decimal are referred to as whole numbers while the first digit after the decimal represents the tenths place, the next digit after the tenths place  represents the hundredths place, the next digit after the hundredths place represents the thousandths place and so on.

Now, we are given two decimals 0.6 and 0.39.

We see clearly that 0.6 has a greater tenths digit than the hundredths digit in 0.39. This is seen as;

0.6 = 6/10 while 0.39 = 39/100

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In a recent election, 63% of all registered voters participated in voting. In a survey of 275 retired voters, 162 participated in voting. Which is higher, the population proportion who participated or the sample proportion from this survey?

Answers

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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I NEED HELP ON THIS ASAP!!!!

I NEED HELP ON THIS ASAP!!!!

Answers

Answer:

a) A region below both lines

b) A region above both lines

c) No solution

d) A region between both lines

Step-by-step explanation:

a) The lines shadings overlap below both lines

b) The lines shadings overlap above both lines

c) The lines shadings don’t overlap

d) The lines shadings overlap between both lines

Your friend has started a candle making business. She has invested $1,500 on equipment. The cost
of creating the candles including labour, candle wax, and all other materials is $12. She charges $23.50
for her services. How many candles does she need to sell in order to break even?

Answers

if She sells 131 candles, she will have earned enough revenue to cover her costs and break even.

To determine how many candles your friend needs to sell in order to break even, we need to calculate her total costs and total revenue.

First, let's calculate your friend's total costs per candle. She spends $12 on each candle, which includes the cost of labour, materials, and candle wax.

Next, let's calculate your friend's total revenue per candle. She charges $23.50 for each candle.

Now, we can calculate the number of candles your friend needs to sell in order to break even by setting the total revenue equal to the total cost:

$23.50x = $1,500 + $12x

where x is the number of candles your friend needs to sell.

Simplifying this equation, we get:

$23.50x - $12x = $1,500

$11.50x = $1,500

x = $1,500 ÷ $11.50

x = 130.43

Rounding up, your friend needs to sell 131 candles in order to break even.

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What greater 50% or 13/25

Answers

Answer: 13/25

Step-by-step explanation: it is equal to 52% which is greater than 50%

50% is greater than 13/25. To compare these two values, you can convert both of them to a common denominator, such as 50%. 50% is equal to 1/2, so 13/25 is equal to 52/50, which is less than 1/2 or 50%. Alternatively, you can also express both fractions as decimals and compare the two values that way. 50% is equal to 0.5, and 13/25 is equal to 0.52, so 50% is still greater than 13/25.

Write a simplified expression for the
perimeter of the triangle.
1.5x - 3
1.5x - 3
0.75x-1

Write a simplified expression for theperimeter of the triangle.1.5x - 31.5x - 30.75x-1

Answers

Answer: 3.75 + - 7

Step-by-step explanation:

1.5x - 3 + 1.5x - 3 + 0.75x - 1

1.5x + 1.5x + 0.75x - 3 + - 3 + - 1

3.75x + - 7

From 70.8 minutes to 90 minutes.

Answers

70.8 mins - 90 mins = 19.2  minutes

In order for a ladder to reach a height of 10 feet, it needs to
be placed at a 75° angle to the ground. The ground already has an elevation of 15°. What degree does the ladder need to be set at
need to be set at?

Answers

It should at least be a 90 degree angle

The triangle shown below has vertices A(-12. -10), B(15, -10), and C(10, 5). If the triangle is dilated and the new image of point C lies at (8, 4), where is the resulting image of point B after the dilation?​

The triangle shown below has vertices A(-12. -10), B(15, -10), and C(10, 5). If the triangle is dilated

Answers

Answer: 13,-11

Step-by-step explanation: if it's dilation there's a correlation between the two so I think if you just subtract the c from the c now and get 2,1 and you then subtract that from b you should get your answer

18x=36 with a full explanation and I will give you brainlyest

Answers

Answer:−18x>36

Divide both sides by −18. Since −18 is negative, the inequality direction is changed.

x< −18

36

Divide 36 by −18 to get −2.

x<−2

Step-by-step explanation:

Hope this helps!

18x=36 with a full explanation and I will give you brainlyest

For a resction of the type {A}_{2}(g)+{B}_{2}(g)-2 {AB}(g) with the rate law: -\frac{{d}\left{A}_{2}\right]}{{dt}}={k}\left{A}_{2}\ri

Answers

The rate of the resection reaction is directly proportional to the concentration of N2. As the concentration of N2 decreases, the rate of the reaction also decreases.

The given reaction is a resection reaction, specifically the reaction between A2 and B2 to form 2AB. The rate law for this reaction is represented by the equation:
-\frac{{d}\left[A_{2}\right]}{{dt}}=k[A_{2}]

In this equation, [A2] represents the concentration of A2, t represents time, and k is the rate constant.
The negative sign indicates that the concentration of A2 decreases over time. The rate constant, k, is a proportionality constant that determines the rate at which the reaction occurs.

To understand the meaning of this rate law, let's break it down step by step:
1. The rate of the reaction is directly proportional to the concentration of A2. This means that as the concentration of A2 increases, the rate of the reaction also increases.
2. The negative sign indicates that the concentration of A2 decreases over time. This suggests that A2 is being consumed during the reaction.
3. The rate constant, k, represents the speed at which the reaction occurs. A higher value of k means a faster reaction, while a lower value of k means a slower reaction.

Let's consider an example to illustrate this rate law:

Suppose we have a reaction between nitrogen gas (N2) and hydrogen gas (H2) to form ammonia gas (NH3). The balanced chemical equation for this reaction is:
N2(g) + 3H2(g) -> 2NH3(g)

The rate law for this reaction could be written as:
-\frac{{d}\left[N2\right]}{{dt}}=k[N2]
In this case, the rate of the reaction is directly proportional to the concentration of N2. As the concentration of N2 decreases, the rate of the reaction also decreases.
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Air is being pumped into a spherical balloon at the rate of 7 cm³/sec. What is the rate of change of the radius at the instant the volume equals 36n cm³ ? The volume of the sphere 47 [7] of radius r is ³.

Answers

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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Calculate the surface area to volume ratio of each prism

Calculate the surface area to volume ratio of each prism

Answers

For shape A the area to volume ratio is 101: 66

For shape B the area to volume ratio is 197117.7 : 207034

For shape C the area to volume ratio is 202.71 : 529.2

What is area and volume?

The area is the amount of space occupied by a two-dimensional flat object in a plane. Volume is defined as the space occupied by a three-dimensional object. The unit of area is in square units. The unit of volume is in cubic units.

For shape A, the area = 2(lh+lb+bh)

= 2( 2×12+12×5.5+5.5×2)

= 2 ( 24+ 66+ 11)

= 2 ( 101)

= 202m²

The volume of shape A = l×b×h = 2× 12× 5.5 = 132m³.

Therefore the ratio of area to volume of shape A = 202:132 = 101: 66

For shape B

The area of the cylinder = 2πr(r+h)

= 2×3.14× 28( 28+84.1)

= 197117.7m²

The volume of the cylinder =πr²h = 3.14×28²×84.1

= 207034

Therefore the ratio of area to volume = 197117.7 : 207034

in the third shape

The area = ½bh×2 + lb+lh+bh

=6.8×7.5+ 7.2×6.8+ 7.2×7.5+ 7.5×6.8

= 48.75+48.96+54+51 = 202.71

The volume of the shape= base area × height

= 7.2×6.8×7.5

= 529.2m⅗

Thereore the area to volume ratio is 202.71:529.2

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A teacher of a dance class collected data and created a histogram as shown.


Which statement accurately describes the information in the graph?
A.
The data describes the ages of the teachers of an art class.
B.
The data describes the ages of the students in an art class.
C.
The data describes the ages of the students in a dance class.
D.
The data describes the ages of the teachers of a dance class.

A teacher of a dance class collected data and created a histogram as shown.Which statement accurately

Answers

Answer:

C

Step-by-step explanation:

this was quite the toungue twister

1. A softball player bats six times in a game. Each at-bat results in an out, getting on base or hitting a homerun.
2. A sandwich shop has three types of sandwiches: ham, turkey, and chicken. Each s andwich can be ordered with white bread or multi-grain bread. Customers can add any combination of the six available toppings

Answers

1. A softball player can have six (6) possible outcomes

2. Six (6) combinations can be made.

How do we make the values?

Since the player bats six times, it means that there is possibility of having six outs, or six on base, or six homerun or even a mixture of the three outcomes in six times. The constant touch is six times

Since the sandwiches are just three types and can be ordered with either white bread or multi-grain bread, it means that there is possibility of having two different pairs each making six possible combinations of the available toppings.

Therefore, there will be six possible outcomes and six possible combinations of the sandwiches.

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The complete question goes thus:

1. A softball player bats six times in a game. Each at-bat results in an out, getting on base or hitting a homerun. How many possible outcomes can the player have?

2. A sandwich shop has three types of sandwiches: ham, turkey, and chicken. Each s andwich can be ordered with white bread or multi-grain bread. Customers can add any combination of the six available toppings. How many combinations can be made?

at the supermarket, andy paid 11.50 for a water melon and five apples khairi paid 15.85 for one such watermelon and 10 such apples . find the cost of one such watermelon

Answers

Answer:

x=7.15

y=0.87

Step-by-step explanation:

First of all u need to let watermelon nd apples x&y. so after that what u have to do is substract the equations.

at the supermarket, andy paid 11.50 for a water melon and five apples khairi paid 15.85 for one such

The parent graph (x) = y' wastransformed to form the graph ofb(x) = 6x. Which describes thetransformation?

The parent graph (x) = y' wastransformed to form the graph ofb(x) = 6x. Which describes thetransformation?

Answers

correct answer is option C, i.e. vertical shrink by a factor of 1/6.

Given:

Two graphs are given, one is of f(x) = x^4 and other is of b(x)=6x^4.

Find:

we have to find the correct option.

Explanation:

when we transformed the graph

I will mark you the Brainliest person who gets this right

I will mark you the Brainliest person who gets this right

Answers

Answer:

B (x^2 +4x -2) + (x^2 -2x +4)= 2x^2 +2x +2

Step-by-step explanation:

The blue are positive and the red are negative

The top line is x^2 +4x -2

The second line is x^2 -2x +4

Adding together  

 x^2 +4x -2 + x^2 -2x +4= 2x^2 +2x +2

How do you check if an inverse is a function?

Answers

If a value of y relates only to one value of x, then the function does have an inverse function.

Define the term function and its inverse?

A relation between such a collection of inputs and outputs is known as a function.

A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is just the input.If and only if the outcome of reflecting a function's graph about the line y = x is the function's graph, then the function f does have an inverse (passing from the vertical line test).

Thus, if a value of y relates only to one value of x, then the function does have an inverse function.

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