To save for a new car, Trafton invested $7,000 in a savings account that earns 6.5% interest, compounded continuously. After four years, he wants to buy a used car for $10,000. How much money will he need to pay in addition to what is in his savings account? (Round your answer to the nearest cent.)

Answers

Answer 1

Answer:

Trafton will need to pay $ 900 in addition to what is in his savings account, to buy the used car he wants.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Initial deposit = $ 7,000

Annual interest = 6.5% = 0.065 compounded continuously

Time of the investment = 4 years

Price of the used car Trafton wants to buy = $ 10,000

2. How much money will he need to pay in addition to what is in his savings account?

1. For answering the question, let's calculate how much money Trafton has in his savings account after 4 years, this way:

FV = PV * e ^ (i * t)

Where,

FV = Future value of the initial deposit after t time

PV = Initial deposit

e = Euler's number (2.7183)

i = 0.065 compounded continuously

t = 4 years

Replacing with the real values, we have:

FV = 7,000 * 2.7183^(0.065 * 4)

FV = 7,000 * 1.30 (Rounding to the nearest hundredth)

FV = $ 9,100

Now, we can elaborate how much money will Trafton need to pay in addition, as follows:

Money in addition = Price of the used car Trafton wants to buy - Future Value of the savings account after 4 years

Money in addition = 10,000 - 9,100

Money in addition = $ 900

Trafton will need to pay $ 900 in addition to what is in his savings account, to buy the used car he wants.


Related Questions

Round the following numbers and estimate the product.
72.87 . 37

Answers

The answer to this question is 252,000

A certain drink is made by adding 4 parts water to 2.5 part drink mix. What percent of the mixture is water? Omit % sign in your answer. Round your answer to the nearest tenth.

Answers

The mixture contains 61.5% of water.

Step-by-step explanation:

Total parts = 4+ 2.5 = 6.5

Parts of water =4

parts of drink = 2.5

Percent of water in the mixture = 4 × 100/ 6.5

                                                     = 400/6.5

                                                      = 61.53%

It is rounded to the nearest tenth as 61.5%.

To find the percentage of water in the mix, we calculate the proportion of water (4 parts) to the total mixture (6.5 parts) and multiply by 100%, resulting in approximately 61.5%.

To determine what percent of the mixture is water when a drink is made with 4 parts water and 2.5 parts drink mix, we add together the parts of water and drink mix to find the total parts of the mixture. Then, we calculate the fraction of the mixture that is water and convert that to a percentage.

First, we find the total parts of the mixture:

Water: 4 parts

Drink mix: 2.5 parts

Total parts: 4 + 2.5 = 6.5 parts

Next, we calculate the percentage of the mixture that is water:

(Parts of water / Total parts) × 100%

(4 parts / 6.5 parts) × 100% \approximately 61.5%

Rounding to the nearest tenth, we get:

61.5

I have a question! Well duhh thats why you see this
A baseball is moving at a speed of 2.2m/s when it strikes the catchers glove. The paddding of the glove is compressed by 24mm before the ball comes to a stop. We want to find the average acceleration of the baseball while its compressing the glove
jp i dont need help ppl keep wanting to see what i look like so sorry!

Answers

your actually stunning

Martina runs 7 miles in 50 mins at the same rate how many miles will she run in 75 mins

Answers

Martina runs 10.5 miles in 75 minutes

Solution:

Given that,

Martina runs 7 miles in 50 minutes

Therefore, miles ran in 1 minute is:

[tex]Miles\ ran\ in\ 1\ minute = \frac{7}{50}\ miles[/tex]

At the same rate how many miles will she run in 75 mins

Thus, to find the miles ran in 75 minutes:

[tex]Miles\ ran\ in\ 75\ minute = \frac{7}{50}\ \times 75\\\\Miles\ ran\ in\ 75\ minute = 0.14 \times 75\\\\Miles\ ran\ in\ 75\ minute = 10.5[/tex]

Thus she runs 10.5 miles in 75 minutes

solve for x and y


−8y+9x=−5
8y+7x=−75

Answers

Answer:

-8y + 9x = -5

8y + 7x = -75

16x = -80

x = -5

8y + 7(-5)= -75

8y - 35 = -75

8y = -40

y = -5

(-5,-5)

5. Katie makes and sells scarves. Her monthly profit is given by P(s) = -s2 + 25s - 100, where "s" is the selling price. For what range of prices can Katie sell the scarves, in order to make a profit? (For what values of "s" will -s2 + 25s - 100 be greater than 0?)

Answers

Answer: s > 5

Step-by-step explanation:

-s² + 25s - 100 > 0

Coefficient of s² is -1, multiply the equation through by -1.

-1 × (-s² + 25s - 100)

s² — 25s + 100

ax² + bx + c

Then you get the factors x and y that gives x + y = b and xy = c

b = -25 and c = 100, x = -20 and y = -5

-20 × -5 = 100 and -20 + -5 = -25

Then

s² — 20s — 5s + 100 > 0

Factorising,

s (s — 20) — 5(s — 20) > 0

(s — 5)(s — 20) > 0

(s — 5) > 0 and (s — 20) > 0

s>5 and s>20

s > 5

Hope this Helps?

42 : 36 : 54 in simplest form

Answers

Step-by-step explanation:

42:36:54 divide this by 6

= 7 : 6 : 9 simplest form

Please Help Me!
A sphere's center is located at (0,0,0). The point (4,9,-5) is located on the surface of the sphere. Find the length of the radius of the sphere. Round to the nearest tenth.

Answers

Answer:

The length of the radius of the sphere is 11.0 units

Step-by-step explanation:

we know that

To calculate the radius of the sphere, we can use the distance formula

[tex]d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}+(z_2-z_1)^{2}}[/tex]

where

d is the length of the radius

(x_1,y_1,z_1) is the center of the sphere

and

(x_2,y_2,z_2) is one point on the surface of the sphere

we have

[tex](x_1,y_1,z_1)=(0,0,0)[/tex]

[tex](x_2,y_2,z_2)=(4,9,-5)[/tex]

substitute in the formula

[tex]d=\sqrt{(4-0)^{2}+(9-0)^{2}+(-5-0)^{2}}[/tex]

[tex]d=\sqrt{(4)^{2}+(9)^{2}+(-5)^{2}}[/tex]

[tex]d=\sqrt{122}[/tex]

[tex]d=11.0\ units[/tex]

therefore

The length of the radius of the sphere is 11.0 units

What is 83.9 rounded two decimal places

Answers

Answer:

~ 83.90

2 decimal place is basically the hundredths place
Rounding it 2 decimal places will end up with 83.90.

If theta is an acute​ angle, solve the equation tangent theta equals four fifths
. Express your answer in​ degrees, rounded to one decimal place.

Answers

Answer:

[tex]\theta=38.7\degree[/tex]

Step-by-step explanation:

We want to solve [tex]\tan \theta=\frac{4}{5}[/tex] given that [tex]\theta[/tex] is acute.

We take tangent inverse of both sides to get:

[tex]\theta=\tan^{-1}(\frac{4}{5})[/tex]

Now set your calculator to degree mode and evaluate [tex]\tan^{-1}(\frac{4}{5})[/tex] to obtain:

[tex]\theta=38.6598\degree[/tex]

To one decimal place, we have;

[tex]\theta=38.7\degree[/tex]

Final answer:

To solve the equation 'tangent theta equals four fifths', we use the inverse tangent function, or arctan(4/5). Using a calculator in degree mode, the result is approximately 38.7 degrees.

Explanation:

To solve the equation tangent theta equals four fifths, we need to find the angle whose tangent is 4/5. We can find this using the inverse tangent function (also known as arctan)

So, theta = arctan(4/5)

Use a calculator to find out the value of arctan(4/5). Make sure your calculator is in degree mode because the answer needs to be in degrees. The answer is approximately 38.7 degrees, rounded to one decimal place.

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how do you solve
-4/7 + 2/7x - 14x + 4/7

Answers

Answer:

-96/7x

Step-by-step explanation:

-4/7+2/7x-14x+4/7

-4/7+4/7+2/7x-14x

2/7x-14x

2/7x-98/7x

-96/7x

Answer:

-96/7

Step-by-step explanation:

On a certain hot​ summer's day, 391 people used the public swimming pool. The daily prices are $1.25 for children and $2.25 for adults. The receipts for admission totaled $752.75. How many children and how many adults swam at the public pool that​ day?

Answers

127 children and 264 adults swam at the public pool that​ day

Solution:

Let "c" be the number of children swam

Let "a" be the number of adult swam

Cost for each children = $ 1.25

Cost for each adult = $ 2.25

391 people used the public swimming pool

Therefore,

c + a = 391

a = 391 - c ------- eqn 1

The receipts for admission totaled $752.75

Therefore, we frame a equation as:

number of children swam x Cost for each children + number of adult swam x Cost for each adult = 752.75

[tex]c \times 1.25 + a \times 2.25 = 752.75[/tex]

1.25c + 2.25a = 752.75 ---------- eqn 2

Let us solve eqn 1 and eqn 2

Substitute eqn 1 in eqn 2

1.25c + 2.25(391 - c) = 752.75

1.25c + 879.75 - 2.25c = 752.75

c = 879.75 - 752.75

c = 127

Substitute c = 127 in eqn 1

a = 391 - 127

a = 264

Thus 127 children and 264 adults swam at the public pool that​ day

Which graph is the result of reflecting f(x) = One-fourth(8)x across the y-axis and then across the x-axis? On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and incresaes into quadrant 1. It goes through the y-axis at (0, 0.25) and goes through (1, 2). On a coordinate plane, an exponential function approaches y = 0 in quadrant 1 and increases in quadrant 2. It crosses the y-axis at (0, 0.25) and goes through (negative 1, 2). On a coordinate plane, an exponential function approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 0.25) and goes through (1, negative 2). On a coordinate plane, an exponential funtion increases in quadrant 3 into quadrant 4 and approaches y = 0. It goes through (negative 1, negative 2) and crosses the y-axis at (0, negative 0.25).

Answers

On a coordinate plane, an exponential function increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

Given that f(x) = 1/4[tex](8)^x[/tex]

The Reflecting f(x) across the y - axis,

[tex]g(x) = \frac{1}{4} 8^{-x}[/tex]

g(x) reflecting across the x-axis,

The given graph, where f(x) represented by red, g(x) represented by green and function h(x) represented by purple

We conclude that exponential function increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).

Therefore; the answer is option D; On a coordinate plane, an exponential funtion increases in quadrant 3 into quadrant 4 and approaches y tends to zero, which goes through (-1,-2) and crosses the y-axis at (0,-0.25).

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Answer:

Your answer is D

Step-by-step explanation:

I'm being forced to redo a handful of my answers since they were deleted...

"On a coordinate plane, an exponential function increases in quadrant 3 into quadrant 4 and approaches y = 0. It goes through (negative 1, negative 2) and crosses the y-axis at (0, negative 0.25)."

Help please, due by midnight

Answers

Step-by-step explanation:

The second one is the first claim, because it is a traingles and one square.

The third one is the sond claim because they are a part of the rectangular so moving them outside of it would increase the area, I think, if that makes sense.

A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.

Answers

Answer:

12 m squared

Step-by-step explanation:

area of triangle is 1/2 base x height

base x height is 28 so 1/2 is 14

the area of the rectangle is base x height

1 x 2 = 2

14-2 = 12

what is the equation of the following line written in slope intercept form?
a. y= -11x-7
b. y= -7x+11
c. y= -7x-11

Answers

Answer:

C

Step-by-step explanation:

slope is change in y over the change in x

points on graph are (-1, -4) and (-2, 3)

-4-3/-1+2 = -7/1 = -7

y = -7x + b

put one of the points in for x and y to solve for b

3 = -7 x -2 + b

3 = 14 + b

subtract 14 from both sides.

b = -11

Answer:

c

Step-by-step explanation:

A student has $10. She will save $5 each week. The student wrote the expression show to represent the amount
of money she will have after w weeks.
5W + 10
Which of the following expressions is equivalent to the student's expression for any value of wo?
A 15w
B 50w
5(w +2)
D5(w +10)

Answers

Answer:

D. or 5(w+10)

Hope this helps :)

Which graph represents the solution for the equation -5/2x -1 = 4x + 2?

Answers

Answer:

D would be the best choice.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Did the test

Gasoline is selling for $3.29 per gallon. It takes 28.25 gallons to fill up Bill's new pick-up truck. How much does he pay?​

Answers

Answer:

approximately (put the approximately sign) $92.94

Step-by-step explanation:

Just multiply 28.25 by $3.29. Tjen, round the answer to the nearest hundredth.

Clare has $150 in her bank account. She buys a bike for $200. What is Claire's account balance now?

Cooldown
unit 5, lesson 4
4.4​

Answers

Answer:

-50

Step-by-step explanation:

she only had 150, but spent 200 she overdrew

she has an overdraft of $50

Answer:-50

Step-by-step explanation:150-200=-50

HELP QUICK I NEED TO KNOW THIS Three pirates named Ahab, Sparrow, and Davy play a game. The pirates have a total of 210 coins, and each pirate has a different number of coins. At the end of the game, Ahab has won 5 coins and Davy has won 7 coins. Now, the ratio of coins belonging to Ahab, Sparrow, and Davy is 4:5:6, respectively. How many coins did Sparrow have at the beginning of the game?

Answers

The number of coins Sparrow has at the beginning of the game is 92 coins.

How many coins did Sparrow have at the beginning of the game?

Total number of coins = 210.

Ratio of coins belonging to Ahab, Sparrow and Davy = 4 : 5 : 6

Let

x = multiplying factor

The number of coins to Ahab = 4x

The number of coins to Sparrow = 5x

The number of coins to Davy = 6x

Since, total number of coins = 210

So

4x + 5x + 6x = 210

15x = 210

Divide both sides by 15

x = 16

Therefore,

The number of coins to Sparrow = 5x

= 5 × 16

= 80 coins

At the end Ahab and Davy wins 5 and 7 coins respectively

So at the beginning of the game, the number of coins Sparrow has = 80 + 7 + 5

= 92

Find the value of the expression below. Express your answer in scientific notation.

Answers

The value of the expression is [tex]8.8 \times 10^{-2}[/tex].

Solution:

Given expression:

[tex]$\frac{\left(4.8 \times 10^{8}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \times 10^{-6}\right)[/tex]

To find the value of the given expression:

Using exponent rule: [tex]a^m\times a^n=a^{m+n}[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{8-6}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{2}\right)}{\left(1.2 \times 10^{4}\right)} \times\left(2.2 \right)[/tex]

Using exponent rule: [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{2-4}\right)}{1.2} \times 2.2[/tex]

[tex]$\Rightarrow\frac{\left(4.8 \times 10^{-2}\right)}{1.2} \times 2.2[/tex]

Since [tex]\frac{4.8}{1.2}=4[/tex]

[tex]$\Rightarrow(4 \times 10^{-2})\times 2.2[/tex]

[tex]$\Rightarrow 8.8 \times 10^{-2}[/tex]

Hence the value of the expression is [tex]8.8 \times 10^{-2}[/tex].

Which inequality is equivalent to
6. X+7
5x+3?

Answers

Step-by-step explanation:

(1/2x)+7 is a equation

Answer:

on edgenuit it's c

Step-by-step explanation:

-15x-53/x^2+8x+15

570 times what gets 690

Answers

Answer:

1.21052631579 is the exact answer or 1.2 is if you round it

Step-by-step explanation:

This is the answer I got from dividing 690 by 570. Hope this helped

Answer:

1.21 to the nearest hundredth.

Step-by-step explanation:

570 * x = 690

x = 690/570

x = 1.210526316.

Please help! Will give Brainliest!
What is the area of this trapezoid? 175 in² 140 in² 129 in² 85 in² Trapezoid A B C D with parallel sides D C and A B. Point F and E are on side D C. Point F is connected to point A by a dotted segment. Point E is connected to point B by a dotted segment. A B E F is a rectangle. D F is 4 inches. E C is 6 inches. E B is 7 inches. A B is 15 inches.

Answers

Answer:

198

Step-by-step explanation:

Answer:

The answer is 140! brainilest please!

Step-by-step explanation:

What is the y-intercept of the function f(x)=4 -- 5x?
Mark this and return
Save and Exit
Next
Submit

Answers

I apologize if you are offended by the "bad words" in the answer below. Brainly's censor got offended.

what property can be used to solve x-3= -5

Answers

Answer:

-2

Step-by-step explanation:

x-3=-5

x=-5+3

x=-2

What is the correct answer???

Answers

Option D: [tex]\frac{2}{5}[/tex] is the x-coordinate

Explanation:

It is given that the coordinates of the line segment are A(3,2) and B(6,11).

Since, the line is partitioned by the point C by the ratio AC : BC = 2 : 3

The distance between the x-coordinates is 3 units.

To determine the value of the x-coordinate for point C, let us divide the value of x-coordinate from the ratio divided by the sum of ratio.

The value of x-coordinate from the ratio is 2.

Sum of the ratio is 2 +3 = 5

Thus,

The x - coordinate = value of x-coordinate from the ratio / Sum of ratio = 2/5

Substituting the values, we have,

The x - coordinate of the Point C = [tex]\frac{2}{5}[/tex]

Thus, Option D is the correct answer.

What is the missing number from 81,-,9,-,1

Answers

Answer:

-27 and -3

Step-by-step explanation:

81, -27, 9, -3, 1

The missing numbers in the sequence are -27 and -3. The sequence is 81, -27, 9, -3, 1

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The given sequence is 81,-,9,-,1

we have to find the missing number.

As we observe when 81 is divided by -3 we get -27.

Now when -27 divided by -3 we get 9

When 9 is divided by -3

we get -3

When -3 is divided by -3

the value will be 1.

81, -27, 9, -3, 1

Hence, the missing numbers in the sequence are -27 and -3. The sequence is 81, -27, 9, -3, 1

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lonnie bought 6 pieces of ribbon. Each ribbon was 2 and 3/4 yards long. How much ribbon did Lonnie buy in all

Answers

Answer:

14.04

Step-by-step explanation:

you mupltiy

Answer:

b

Step-by-step explanation:

2.34 x 6 = 14.04

so it would total up to 14.12

Other Questions
2) The two rectangles shown are similar.24 cm9 cm16 cmWhat is the missing measurement?Fx = 3 cmGx = 6 cmHx = 18 cmJx = 32 cm "Consumers do not typically perform an LCA before making a purchase, though they might use the results from an LCA that have been summarized on a label or on a company's website.____________- The economic or protective potential of employee experience, actions, and knowledge is referred to as ______. The DNA segment that carries information for building one protein or polypeptide chain is called a(n) ________. On January 1, Frederic Manufacturing had a beginning balance in WorkminusinminusProcess Inventory of $ 164 comma 000 and a beginning balance in Finished Goods Inventory of $ 25 comma 000. During the year, Frederic incurred manufacturing costs of $ 202 comma 000. During the year, the following transactions occurred: Job Cminus62 was completed for a total cost of $ 141 comma 000 and was sold for $ 157 comma 000. Job Cminus63 was completed for a total cost of $ 182 comma 000 and was sold for $ 213 comma 000. Job Cminus64 was completed for a total cost $ 81 comma 000 but was not sold as of yearminusend. The Manufacturing Overhead account had an unadjusted credit balance of $ 24 comma 000 and was adjusted to zero at yearminusend. What was the final balance in the Cost of Goods Sold account? A. $ 299 comma 000 debit balance B. $ 347 comma 000 debit balance C. $ 299 comma 000 credit balance D. $ 347 comma 000 credit balance A stillborn baby was delivered in the birthing suite a few hours ago. After the delivery, the family remained together, holding and touching the baby. Which statement by the nurse would assist the family in their period of grief? President Hoover did nothing to respond to the effects of the Wall Street Crash of 1929."" What was Geraldine Snyder's job and why was it important? As settlers moved westward to the Great Plains, how did different groups of Native Americans react? A signed treaties Bmoved to reservations C fought U.S. troops D all of the above The country of Argonia imposes an ad valorem tariff of 10 percent on 1 million tons of rice imports, after which an out-of-quota tariff of 80 percent is applied. Which of the following trade policy instruments is Argonia using?A. SubsidyB. Tariff rate quotaC. Voluntary export restraintD. Tariff ceilingE. Local content requirement 20 POINTS WILL GIVE BRAINLY IF ANSWERED CORRECTLYWhen you squeeze an air-filled balloon, what happens inside?A. The temperature inside the balloon decreases.B. There is no change in the number of collisions of air molecules against the wall of the balloon.C.There are fewer collisions of air molecules against the wall of the balloon.D.There are more collisions of air molecules against the wall of the balloon. Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.Find the sum of a finite geometric series.Amanda teaches the art of quilling to 4 students. These students each teach the art of quilling to 4 other students. If this process continues for 5 generations after Amanda, people other than Amanda will know the art of quilling. Which of the following must ALWAYS be equal to the buoyant force on an object?A.the force of gravityB.the weight of the objectC.the weight of the liquid displaced by the objecD.the force of friction as the object moves in the water On January 1, 2022, the Sheridan Company ledger shows Equipment $49,700 and Accumulated Depreciation $18,280. The depreciation resulted from using the straight-line method with a useful life of 10 years and a salvage value of $4,000. On this date, the company concludes that the equipment has a remaining useful life of only 2 years with the same salvage value.Compute the revised annual depreciation. in your situaton, should purchaing health insurance be an individual decision or a collabrative decision with your family? explain your response You happen to be visiting Northem California and you are driving by Suisun Bay, a notorious graveyard for old ships You notice that all of these ships appear to be nusting may Which of the following statements is true? View Available Hint(s The rusting of the metal is neither a chemical change nor a physical change O The rusting of the metal is a chemical change o The rusting of the metal is both a chemical change and a physical change The rusting of the metal is a physical change Submit the Dr. Bogdarian noticed that one of her students addresses her with the word mother instead of the word professor or doctor. Dr. Bogdarian applies the principles of ________, and hypothesizes the student misspeaks because he is unconsciously associating her with his mother.A.functionalismB.Gestalt psychologyC.psychoanalytic theoryD.structuralism 50 + 50 - 25 x 0 +2 + 2 What is the factored form of 3x + 21x-24? A car travels in the + x-direction on a straight and level road. For the first 4.00 s of its motion, the average velocity of the car is vav-x = 6.25 m/s. How far does the car travel in 4.00 s?