how would i solve this question step by step?

How Would I Solve This Question Step By Step?

Answers

Answer 1

Answer:

$14696.14

Step-by-step explanation:

The formula for calculating the future value of an investment with continuous compounding is:

[tex]\boxed{\tt FV = PV * e^{r * t}}[/tex]

where:

FV is the future value of the investmentPV is the present value of the investment (the initial deposit) r is the annual interest ratet is the number of years

In this case, we have:

PV = $10000r = 5.5%=0.055 t = 7 years

So, the future value of the investment is:

[tex]\tt FV = 10000 * e^{0.055 * 7} = 14696.14[/tex]

Therefore, The amount after 7 years will be $ [tex]\boxed{\tt 14696.14}[/tex]


Related Questions

Solve for p If 16p=208. p=​

Answers

Answer:

13

Step-by-step explanation:

208 divided by 16=13 therefore

P=13

Answer:

p= 13

Step-by-step explanation:

Divide each term by 16.

Hope this helps. Plz give brainliest.

what is the measure of an angle that is supplementary to 20 degrees?

Answers

Answer: Sum of 180˚

Step-by-step explanation:

Hence, the supplement of a 20˚ angle is a 160˚ angle. This can be proven again, since 20+160=180 , and supplementary angles have a sum of 180˚ .

Write and solve an inequality for the situation. Tom is deciding whether he should become a member of a gym to use the basketball courts. The membership costs $135. Then, members will pay $3 each time they rent out the courts. Nonmembers can also rent the courts for $11 each time. How many times would Tom have to rent the basketball courts in order for his cost as a member to be cheaper than the cost of a nonmember? As a member, Tom's cost would be cheaper if he rents the courts or more times.​

Answers

Answer:

As a member, Tom's cost would be cheaper if he rents the courts 17 or more times.

Step-by-step explanation:

Let the number of times be x

If Tom is a member, and rents the courts x number of times, then he would pay

$135 + $3 × x = $135 + $3x

For a nonmember that rents x number of times, the nonmember would pay

$11 × x = $11x

Now, we are to determine which value of x for which $135 + $3x is less than $11x, that is

$135 + $3x < $11x

Solving the inequality,

$135 < $11x - $3x

$135 < $8x

$135 / $8 < x

16.875 < x

∴ x > 16.875

This means, for Tom's cost to be cheaper, he must have rented the court for more than 16.875 times. (Round 16.875 to the nearest whole number)

16.875 ≅ 17

∴ x > 17

Hence, As a member, Tom's cost would be cheaper if he rents the courts 17 or more times.

The temperature was –15⁰F and decreased by 10⁰ F.  Which statement represents the resulting temperature in degrees Fahrenheit?​

Answers

The temperature was at -15 and went down -10 so now it is a -25 F

how many ways can 6 people be arranged in 4 chairs?

Answers

Answer: 15

Step-by-step explanation:

So 6 choose 4 (where order doesn't matter) yields 15 unique combinations. So there are 15 possible ways that 6 people can sit in 4 chairs.

What is the direction of b∠

Answers

At north side........

Evaluate using the values given
p+ (q - r)(6 - p) when p = 6, q = 5, r = 1

Answers

Answer:

6

Step-by-step explanation:

Pemdas

6 + (5 - 1)(6 - 6)

6 + (4)(0)

6 + 0

6

Help ................

Answers

I think it's the second answer...

HELP PLEASE NEEDED !!

Answers

Answer:

[tex]\sqrt[3]{125^2} \\[/tex]= 125^2/3

125^2/3=25

So Jen is correct


An investment of $8,350 earns 5.2% interest compounded monthly over 10 years. Approximately how much interest is
earned on the investment?
a.
$4,342
b $5,513
$5,679
d $13,863

Answers

C) 5,679
Hope it’s right!!

$5,679.16  interest is earned on the investment

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

P = $8,350 the principal (the money deposited)

r = 0.052 or 5.2% annual interest rate

t = 10 years

m = 12 compounding period per year

i = r/m = 0.052/12 = 0.013/3 interest rate per period

n = t×m = 10×12 = 120 total number of compounding periods

A = future value

A = P(1 + i)ⁿ

A = 8350(1 + 0.013/3)¹²⁰

A = $14,029.16

I = A - P

I = 14029.16 - 8350

I = $5,679.16

there are $5,679.16 interest earned on the investment.

Hence, $5,679.16  interest is earned on the investment

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What is the greatest common factor (GCF) of 3x^3+5x^5

Answers

Answer:

1

Step-by-step explanation:

last week Clay had a beginning balance of $60 in his account he wrote four checks for $20 each from his checking account with Drew another $30 and finally made a deposit of $96

Answers

He has 46 dollars left I think

Answer:

$46

Step-by-step explanation:

started with 60 and wrote 4 checks, each check is 20 so

20*4=80 in checks

60-80= -20

then took out another 30

-20-30=-50

then added 96 to the account

-50+96= 46

Clay had $46 in his account at the end of last week

Which is NOT true?
A
8 + 7 = 7 + 8
B.
8 = 12 - 4
C.
11 + 4 = 7 + 8
D
8 + 7 = 13 - 2

Answers

The answer would be D Because 7+8 = 15 and 13-2 = 11 Therefore they are not the same or equal

Answer:

it's "D" i just did it lol

Step-by-step explanation:

The Chen family sold its house through a real estate agent for $330,000. If the real estate agent gets a 4.5% commission, how much did the Chen family have to pay her?
A) 1485.00
B) 344,850.00
C) 331,485.00
D) 14,850.00

Answers

Answer:

Step-by-step explanation:

1.first 330,000 divided by 100 wich Is 3300 then multiply that by 4 wich is 13,200

2. then 330,000 divided by 1000 wich is 330 multiply that by 5 wich is 1,650

3. Add  1,650 + 13,200 + 330,000 wich is 344,850.00 so a

14850

I took the checkpoint

3.2.31
The weight of an organ in adult males has a bell-shaped distribution with a mean of 300 grams and a standard deviation of 35 grams. Use the empirical rule to determine the following.
(a) About 99.7% of organs will be between what weights?
(b) What percentage of organs weighs between 230 grams and 370 grams?
(c) What percentage of organs weighs less than 230 grams or more than 370 grams?
(d) What percentage of organs weighs between 195 grams and 370 grams?

Answers

The answer to this would be C

For questions 3 and 4 find the bolded arc 14.5ft 73 angle?

Answers

The arc length for this problem is given as follows:

18.46 ft.

What is the measure of the circumference of a circle?

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The radius for this problem is given as follows:

r = 14.5 ft.

The angle measure for the entire circumference is of 360º, hence the fraction is given as follows:

73/360.

Then the arc length is given as follows:

73/360 x 2π x 14.5 = 18.47 ft.

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A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°. What is the angle between the ground and steepest slope on the real rollercoaster?​

Answers

The angle between the ground and the steepest slope on the real rollercoaster is approximately 89.998°.

A model rollercoaster is built to a scale of 1:32. In the model rollercoaster, the angle between the ground and the steepest slope is 110°.What is the angle between the ground and the steepest slope on the real rollercoaster?

To determine the angle between the ground and the steepest slope on the real rollercoaster, you need to consider the scale of the model rollercoaster.To find the real rollercoaster angle, you should use a scale factor that relates the model rollercoaster to the real one.

The scale factor should multiply the model angle to obtain the real one. Since the scale factor relates the model length to the real length, it should relate the horizontal distance and the vertical height.

The horizontal and vertical lengths are in a ratio of 32:1 for the model. This means that for every 32 units in the model, there is one unit in the real rollercoaster. Therefore, we can say that the horizontal length of the real rollercoaster is 32 times the horizontal length of the model rollercoaster.

That is:h(real) = 32h(model)Similarly, the vertical height of the real rollercoaster is 32 times the vertical height of the model rollercoaster. That is:v(real) = 32v(model)

The tangent of an angle equals the vertical height divided by the horizontal distance. Therefore, the tangent of the real angle equals the tangent of the model angle times the scale factor.

That is:tanθ(real) = 32tanθ(model)By substitution,θ(real) = arctan(32tanθ(model))For the given model angle of 110°,

the corresponding real angle is:θ(real) = arctan(32tan110°)θ(real) = arctan(32(-2.74747741945462))θ(real) = arctan(-87.91927694142864)θ(real) ≈ -89.998°

The negative sign indicates that the angle is measured below the horizontal line.

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Find the new price for the markdown given. Round to the nearest cent if necessary.

$14.99 marked down 20%

Answers

Answer:

The new price is 11.99

Step-by-step explanation:

First find the mark down

14.99 * 20 %

14.99 * .20

2.998

3.00

Subtract the markdown from the price

14.99-3.00

11.99

The new price is 11.99

WILL REPORT IF GIVE WRONG ANSWER WILL GIVE BRAINIELST IF GET RIGHT

Answers

Answer:

(0,-3)

(7,-2)

Step-by-step explanation:

Your first point will be (0,-3) Because the '-3' means that the line passes the y-intercept at -3. The 7 stands for that every one increased, it goes 7, so the next point will be (7,-2).

I hope that this helps! :)

Solve for x.
5 = 3x - 3

Answers

Answer:

x = 8/3

Step-by-step explanation:

Step 1: Write equation

5 = 3x - 3

Step 2: Solve for x

Add 3 to both sides: 8 = 3xDivide both sides by 3: 8/3 = xRewrite: x = 8/3

Step 3: Check

Plug in x to verify it's a solution.

5 = 3(8/3) - 3

5 = 8 - 3

5 = 5

Answer:

x= [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

5=3x-3

first, add 3 to both sides:

5 +3 = 3x-3 +3

8=3x

then, divide both sides by 3:

8 ÷3 = 3x ÷3

and the answer can be written as x = [tex]\frac{8}{3}[/tex] or x = 2[tex]\frac{2}{3}[/tex]

Please help solve please I’m begging

Answers

Answer:

6) 8.4

7) 3.5

8) 1.8

9)10.89

10) 11.1

11)-8.6

12)9.86

13) 2.2

14) 15.2

15) 11.7

16)-3.4

17)-5.4

18)4.43

19)-11.3

20)4.4

21)17.42

22)3.9

23)-11.01

Step-by-step explanation:

brainliest would be appreciated, but not required. Have a good day! :)

5 times a number plus 2 equals 17. What is the number?


If you get it right, I’ll give you a Brainly! :)

Answers

3 is the answer to this

Answer:

3

Step-by-step explanation:

5x+2= 17

-2 -2

5x = 15

÷5 ÷5

x = 3

178.8 divided by 24 please help

Answers

Answer:

7.45

hope that answers ur question :D

Help please i don’t understand

Answers

Answer:

  AB ≈ 5.39

Step-by-step explanation:

If you draw a line down from A, and another line left from B, the lines will intersect to form a right triangle with AB as the hypotenuse. You can use the Pythagorean theorem to find the length AB.

The vertical leg is 2 grid squares (units) long. The horizontal leg is 5 grid squares (units) long.

Then the hypotenuse, AB, is ...

  AB = √(2² +5²) = √(4 +25) = √29

  AB ≈ 5.39

The length of AB is about 5.39 units.

12. You get a wage increase of 4% plus an extra £10 per week. Your present wages are £150
per week. What will your new wage be?
£166
£172
£180
£210
£220

Answers

Answer:

the answer should be 166

Step-by-step explanation:

because you do 150 times 0.04 to get 6 then add the 10 dollars to get 166

Which angles are adjacent? Select all that apply.

Answers

Answer:

AFB and BFC

BFC and CFD

CFD and DFE

Step-by-step explanation:

I had just done this and those where the awnsers

Answer:A,C,E

Step-by-step explanation:

x² + 2x²-3x-6

Get the zeros

Answers

Write the polynomial as an equation.
y
=
x
3

2
x
2

3
x
+
6
y
=
x
3
-
2
x
2
-
3
x
+
6
To find the roots of the equation, replace
y
y
with
0
0
and solve.
0
=
x
3

2
x
2

3
x
+
6
0
=
x
3
-
2
x
2
-
3
x
+
6
Replace
y
y
with
0
0
and solve for
x
x
.
Tap for more steps...
x
=
2
,

3
,


3
x
=
2
,
3
,
-
3
The result can be shown in multiple forms.
Exact Form:
x
=
2
,

3
,


3
x
=
2
,
3
,
-
3
Decimal Form:
x
=
2
,
1.73205080

,

1.73205080

Answer:

3x^2-3x-6=3(x^2-x-2)=3(x-2)(x+1)

x=2/x=-1

Step-by-step explanation:

[Calc 1] An explanation on how to best solve this. I've been stuck trying to use chain rule

Answers

Answer:

  G'(y) = 4y^7(y+4)/(y+2)^5

Step-by-step explanation:

Work it a piece at a time.

Define z = y^2/(y+2). Then your derivative is found from the power rule as ...

  G = z^4

  G' = 4z^3·z'

Now, define z = u/v. Then your derivative is found using the quotient rule:

  z' = (vu' -uv')/v^2 = ((y+2)(2y) -(y^2)(1))/(y+2)^2

Putting this together we have ...

  [tex]G'(y)=4\left(\dfrac{y^2}{y+2}\right)^3\cdot\dfrac{y^2+4y}{(y+2)^2}\\\\\boxed{G'(y)=\dfrac{4y^8+16y^7}{(y+2)^5}}[/tex]

A jeweler states that she makes a 20% profit over her expensive for making gold necklaces. If she sells each necklace for $600 how much does it cost her to make each necklace

Answers

Answer:

480

Step-by-step explanation:

The cost of each for manufacturing necklace is $500.

What is the percentage?

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

Let's say the cost of one necklace is x dollars.

Now,

Profit percentage = (selling price - cost) / cost × 100

20% = (600 - x) / x × 100

600 - x = 0.2x

0.2x + x = 600

1.2x = 600

x = 500

Hence "The cost of each manufacturing necklace is $500".

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ignore the writing but please help!!

Answers

[tex]\tt Step-by-step~explanation:[/tex]

To find the slope, you have to find the rise over run. Here, the rise (up) is 3 units, and the run (across) is 2 units.

[tex]\tt \frac{rise}{run}=\frac{3}{2}[/tex]

[tex]\Large\boxed{\tt Our~final~answer:~M=\frac{3}{2} }[/tex]

*M = Slope

Other Questions
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Cost per kilogram of materials is about the same as before, but conversion costs are higher, and Dransfield has raised its selling price in line with the market. Sales have increased and returns have decreased. Dransfield's managers attribute this to higher quality and a price that is still less than Yorunt's. Information about the current period (2019) and last period (2018) follows. 1a. Units of ZP98 produced and sold. 1b. Units of ZP98 returned 1c. Net sales in units 2. Selling price 3. Direct materials (kilograms) used 4. Direct materials cost per kilogram 5. Manufacturing capacity in units of ZP98 6. Total conversion costs 7. Conversion cost per unit of capacity 8. Selling and customer-service capacity 9. Total selling and customer-service costs 10. Selling and customer-service capacity cost per customer 11. Advertising staff 12. Total advertising costs 13. Advertising cost per employee 5,000 500 4,500 $44 2,500 $10 8,000 $128.000 $16 60 $4,000 $66.67 $20,000 6,250 $20,000 225 6,025 $50 3,125 $10 8,000 customers customers $184,000 $23 60 $4,180 $69.67 1 $24,000 $24,000 Conversion costs in each year depend on production capacity defined in terms of ZP98 units that can be produced, not the actual units produced. Selling and customer-service costs depend on the number of customers that Dransfield can support, not the actual number of customers it serves. Dransfield has 50 customers in 2018 and 60 customers in 2019. At the start of each year, management uses its discretion to determine the number of advertising staff for the year. Advertising staff and its costs have no direct relationship with the quantity of ZP98 units produced and sold or the number of customers who buy ZP98. 2. Calculate the growth, price-recovery, and productivity components that explain the change in operating income from 2018 to 2019. 3. 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Calculate the radius of a palladium atom, given that Pd has FCCcrystal structure, a density of 12.0 g/cm3, and anatomic weight of 106.4 g/mol?The final answer is R = .138 nmThe equation P= nA / VN is used, I'm just nor sure about the volumeequation in relation with the radius. I keep getting some crazyanswer. Which number is the greatest? How does an objects motion change as a result of centripetal acceleration?The speed decreases in the same direction.The speed increases in the same direction.The direction changes along with the speed.The direction changes but not the speed. 2.5 points item 4 chuck, a single taxpayer, earns $75,000 in taxable income and $10,000 in interest from an investment in city of heflin bonds. (use the u.s tax rate schedule.) required: how much federal tax will he owe? what is his average tax rate? what is his effective tax rate? what is his current marginal tax rate? 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