Jack invested $2,900 in an account paying an interest rate of 8 % compounded
annually. Anthony invested $2,900 in an account paying an interest rate of 81%
compounded continuously. After 10 years, how much more money would Anthony
have in his account than Jack, to the nearest dollar?
I don’t understand how to solve.

Answer:

they are adding by 3 1 and 0

Step-by-step explanation:

Answer:

Step-by-step explanation: Mean= 400/15 =26.6

Median = 27

Mode= 35 - 16 =19

No

Answer:

45units²

Step-by-step explanation:

Triangle area = (1/2)(base length)(perpendicular height)

= (1/2)(6)(15)

=3(15)

=45units²

Answer:

$1200

Step-by-step explanation:

There are 2 ways I immediately think about to solving the problem.

1) You multiply 30 and 200 , then multiply the product by .2 (i.e. 20%)

This way, you'll find out what the total amount was($6,000), then you multiply it by your commission rate.(.2 or 20%) to find your total profit($1,200).

2) You multiply 200 by .20 , then multiply the product by 30.

This way, you'll find out what your commission would be for a single item($40), then multiply by the total items sold (30) to find your total profit($1,200).

Answer:

$1200

Step-by-step explanation:

30*200 = 6000

6000 * 20% = 1200

Answer:

6 hours.

Step-by-step explanation:

To find how many hours it would take to drive a 240 mile distance at a constant speed of 40 miles per hour, you'd divide 240 by 40 and the result of that is 6.

Answer:

6 hours

Explanation:

240/40= 6

9514 1404 393

Answer:

  -368.8 ft

Step-by-step explanation:

distance = velocity × time

Here, we'll use a negative for speed downward, and positive for speed upward.

  elevation = (-4.5 ft/s)(98 s) +(1.9 ft/s)(38 s) = -441 ft +72.2 ft

  elevation = -368.8 ft

Answer:

KL = 9

Step-by-step explanation:

(7 + x - 1)(x - 1) = 12²

(x + 6)(x - 1) = 144

x² -x + 6x - 6 = 144

reduce:

x² + 5x -150 = 0

(x + 15)(x - 10) = 0

x = -15, x = 10

KL = 10 - 1 = 9

Answer:

x ≈ 80.4

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan15° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{300}[/tex] ( multiply both sides by 300 )

300 × tan15° = x , then

x ≈ 80.4 ( to the nearest tenth )

Answer: (3,-3)

Step-by-step explanation:

75m+500

You have the 500 as the initial amount and the 75m is how much juan adds each month

Answer:

m = -4/5

Step-by-step explanation:

We need to find the slope of the line that passes through the points (3, 1) and (-2,5).

The slope of the line is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put x₁ = 3, x₂ = -2, y₁ = 1 and y₂ = 5

Put all the values,

[tex]m=\dfrac{5-1}{-2-3}\\\\=\dfrac{4}{-5}\\\\=\dfrac{-4}{5}[/tex]

So, the correct option is (b).

Answer:

The volume of cone = Maximum holding of glass = 60 cube cm(cm^3)

Step-by-step explanation:

Cone formula:

[tex] v = \frac{1}{3} \pi \: r {}^{2} h[/tex]

The radius is 3cm and Volume is 60cm^3.

if pi =~ 3 So the "h" is 6.66 cm.

"h" is distance from cone's head to its base.

The "H"( height of glass) = 6.66 + 7 = 13.6 =~ 14

9514 1404 393

Answer:

  13.4 cm

Step-by-step explanation:

The volume of the cone is given by ...

  V = 1/3πr²h

For the given dimensions, we have ...

  60 cm³ = 1/3π(3 cm)²h

  20/π cm = h ≈ 6.37 cm . . . . . . . . . . . divide by the coefficient of h

The overall height of the glass, H, is 7 cm more than the value of h.

  H = 7 cm +6.4 cm = 13.4 cm

The height of the glass is 13.4 cm.

Answer:

(3,4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

V = L * W * H

L = 12

W = 6

H = 6

Volume = 12 * 6 * 6

Volume = 432 cubic feet

Answer:

432 cubic feet

Step-by-step explanation:

To find the volume of a retangular prism or a rectangle you use L x W x H so that would be 12 x 6 x 6 which is 432. So the volume is 432 cubic feet

9514 1404 393

Answer:

  (d)  x-4

Step-by-step explanation:

If we assume your answer choices are ...

  (a) 5 -x = 5 -4 = 1

  (b) 1/2x = 1/2(4) = 2

  (c) x +1 = 4 +1 = 5

  (d) x -4 = 4 -4 = 0

Then the last choice (d) x -4 has the smallest value at x=4.

Answer:

110 degrees

Step-by-step explanation:

Parallels lines, when intersected by a straight line, form congruent angles. Therefore 110 is equal to angle 6

9514 1404 393

Answer:

  12 or 103

Step-by-step explanation:

The given angle is opposite the shorter side, so there will be two solutions.

In order to find f, we need to know angle F. We can find that by first finding angle E.

  E = arcsin(e/d·sin(D)) = arcsin(71/62·sin(36°)) = 42.307° or 137.693°

  F = 180° -D -E = 180° -36° -{42.307°, 137.693°} = {101.693°, 6.307°}

Then the measure of f is ...

  f = sin(F)/sin(D)×d = 62/sin(36°)×sin({101.693°, 6.307°})

  f = {103.29, 11.59}

Side f is either 12 or 103.

Answer:

Step-by-step explanation:

Find ∠E

Find m∠F

Find f

Answer:

Marika's calculation is correct

Step-by-step explanation:

Lori has erroneously identified a common ratio of the geometion sequence

one has to divide subsequent term by the preceding term as was correctly by Marika. so Marika's calculation is correct.

hope it helps...

have a great day !!!

Answer:

the correct answer would be B

Answer:

B

Step-by-step explanation:

I just did this problem

Answer:

1

3814697265625

Decimal Form:

2.62144 ⋅ 10 / 13

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

C. Closing cost, and monthly loan payments

Step-by-step explanation:

Answer:

one

Step-by-step explanation:

Answer:  Jenny was faster by 116.17

Step-by-step explanation: Jenny: 809.03 meters a minute

Johnny: 692.86 meters a minute

Answer:

11.53 degrees.

Step-by-step explanation:

ok so we know the hyp and opp sides. this means that it is sin. according to SOHCAHTOA we do sin^-1(2/10). you should get 11.53

Answer:

11.5396°

Step-by-step explanation:

Please see the attached image

We can do sin(x)=2/10, which simplifies to sin(x)=1/5

To get x by itself do [tex]x=sin^{-1}[/tex](1/5) which ≈11.5396°

Take an arbitrary interval [a, b], where a < b.

Compute the arc length L of y = f(x) over [a, b] :

[tex]L=\displaystyle\int_a^b\sqrt{1+\left(f'(x)\right)^2}\,\mathrm dx[/tex]

Now comptue the area A under the curve y = f(x) over [a, b] :

[tex]A=\displaystyle\int_a^bf(x)\,\mathrm dx[/tex]

We have

f (x) = 1/4 e ⁻ˣ + e ˣ   →   f ' (x) = -1/4 e ⁻ˣ + e ˣ

Then

√(1 + (f ' (x))²) = √(1 + (-1/4 e ⁻ˣ + e ˣ)²)

… = √(1 + 1/16 e ⁻²ˣ - 1/2 + e ²ˣ)

… = √(1/16 e ⁻²ˣ + 1/2 + e ²ˣ)

… = 1/4 √(e ⁻²ˣ + 8 + 16e ²ˣ)

… = 1/4 √((e ⁻ˣ + 4 e ˣ)²)

… = 1/4 (e ⁻ˣ + 4 e ˣ)

… = 1/4 e ⁻ˣ + e ˣ

… = f (x)

so both A = L for any choice of interval [a, b].

It is true that the arc length on any interval has the same value as the area under the curve.

The function is given as:

[tex]f(x) = \frac 14e^{-x} + e^x[/tex]

Differentiate the function

[tex]f'(x) = -\frac 14e^{-x} + e^x[/tex]

On any interval, the following must be true

[tex]f(x) =f'(x)[/tex]

and

[tex]f(x) = \sqrt{1 + (f'(x))^2}[/tex]

So, we have:

[tex]f(x) = \sqrt{1 + (-\frac 14e^{-x} + e^x)^2}[/tex]

Expand the exponents

[tex]f(x) = \sqrt{1 + (\frac{1}{16}e^{-2x} - \frac 12 + e^{2x})}[/tex]

Remove the bracket

[tex]f(x) = \sqrt{1 + \frac{1}{16}e^{-2x} - \frac 12 + e^{2x}}[/tex]

Evaluate the like terms

[tex]f(x) = \sqrt{\frac{1}{16}e^{-2x} + \frac 12 + e^{2x}}[/tex]

Multiply by 16/16

[tex]f(x) = \sqrt{\frac{16}{16}(\frac{1}{16}e^{-2x} + \frac 12 + e^{2x})}[/tex]

So, we have:

[tex]f(x) = \sqrt{\frac{1}{16}(e^{-2x} + 8 + 16e^{2x})}[/tex]

Take the square root of 1/16

[tex]f(x) = \frac{1}{4}\sqrt{e^{-2x} + 8 + 16e^{2x}}[/tex]

Express the radical as a perfect square

[tex]f(x) = \frac{1}{4}\sqrt{(e^{-x} + 4e^{x})^2}[/tex]

Evaluate the exponents

[tex]f(x) = \frac{1}{4} * (e^{-x} + 4e^{x})[/tex]

Evaluate the products

[tex]f(x) = \frac{1}{4}e^{-x} + e^{x}[/tex]

Hence, it has been proved that  the arc length on any interval has the same value as the area under the curve.

Read more about areas at:

https://brainly.com/question/24487155

Answer:

26. $46.75

27. $4.80

28. $32.00

29. $3.60