You are a financial advisor. You have a client who is 25 years old and has
$10,000 they want to invest into a retirement account. After investing
this money, the client will not be adding any money to the account. The
money will just let it grow until the client reaches age 65. As you are
helping them decide the best investment for their money, you discover the
following options:


-

Account A pays 7% annual interest, compounded quarterly
-

Account B pays 6.8% annual interest com[ounded monthly
-

Account c pays 7.1% annual interest, compounded yearly.
-

Account D ay 6.9% annual interest, compounded daily.


Since it’s your job to determine the best account for your clients money,
you have to figure out the future value of her money.

You know that the following formula calculates compound interest

Answer:

And great great the owner is 44

Step-by-step explanation:

or 36 because you have to add all sides

Answer:

2 reflection across the y axis

Answer:

True! We can tell that it is still there through weight becuase weight is a method of evidence/measurement. Hope this helps!

The probability that a flight departed on time given that it arrives is 0.92

The conditional probability of event B occurring giving that event A has occurred is expressed as

P(B|A) = P(A and B)/P(A)

Given the following parameters

P(A and B) = The probability that a flight departs and arrives on time = 0.84

P(A) = The probability that an airplane flight departs on time = 0.91

P(B | A) = 0.84/0.91
P(B | A) = 0.92

Hence the probability that a flight departed on time given that it arrives is 0.92

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Answer:

Price before Taxes: $ 25.00

Sales Tax (8.5%): $ 2.13

Total Price with Tax: $ 27.1

Step-by-step explanation:

Answer:

[tex] \hookrightarrow \sf \bold{ - \frac{1}{2} }[/tex]

Step-by-step explanation:

⇢ [tex] \bold{5x+5=3x+4} [/tex]

⇢ - 3x + 5x = 4 - 5

⇢ 2x = -1

⇢ 2x/2.= -1/2

⇢ x = -1/2

5x+5=3x+4

5x-3x=4-5

2x=-1

2x/2=-1/2

x=-1/2

Answer:

5 faces

Step-by-step explanation:

A traingular prism has 5 faces. The square on the bottom and the four traingles that make up the sides.

hope this helps :)

Answer:

5

8

5

step by step

Love your pfp

Step-by-step explanation:

if width = 3 length = 5 hight = 10

Volume of rectangular prism = 3×5×10

= 150

Answer:

Answer is 48

Step-by-step explanation:

6x8 = 48

Hope it helps!

Answer:

area=b•h

6 units • 8 units = 48 units²

Answer:

Examples of 2D shapes

2D Shape Properties

Pentagon A shape with five sides and five equal angles.

Kite A quadrilateral with two pairs of sides of the same length.

Rhombus A quadrilateral with both pairs of opposite sides parallel and all sides of the same length. Unlike a square, however, its angles are not all 90˚.

Step-by-step explanation:

The calculation that represents the cost of 2 dozen iris bulbs is ($5 * 6) + ($4 * 6) + ($3 * 12)

An equation is an expression that shows the relationship between two or more variables and numbers.

The cost of 2 dozens of iris bulbs is given by the equation:

Cost = ($5 * 6) + ($4 * 6) + ($3 * 12)

The calculation that represents the cost of 2 dozen iris bulbs is ($5 * 6) + ($4 * 6) + ($3 * 12)

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[tex]tan (M) = \frac{side-opposite-angle-M}{side-adjacent-angle-M} =\frac{8\sqrt{2} }{4} =2\sqrt{2}[/tex]

Hope that helps!

ps. I attached a sheet of trigonometry identities

To write the equation in slope-intercept form

  ⇒ must know what is the slope-intercept form

       ⇒ [tex]y = mx + b[/tex]

Let's find the slope first:

   ⇒ must know the slope's formula

       ⇒ [tex]\frac{y2-y1}{x2-x1}[/tex]

          ⇒ [tex]\frac{0-1}{-3-0}=\frac{-1}{-3} =\frac{1}{3}[/tex]

Now let's find the y-intercept

  ⇒ which occurs where the x-value of the coordinate is 0

    ⇒ that point is (0,1)

       ⇒ thus b = 1

Now let's set up the equation in slope-intercept form

     [tex]y = \frac{1}{3} x+1[/tex]   <-- Answer

Hope that helps!

Answer:

y-1/3x+1:

hope it helped

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=12\\ \theta = 70 \end{cases}\implies \begin{array}{llll} A=\cfrac{(70)\pi (12)^2}{360}\implies A=28\pi \\\\\\ A\approx 87.96~cm^2 \end{array}[/tex]

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(160)(20)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(90)(120)}}\implies 3200~~ + ~~5400\implies 8600[/tex]

[tex] \frac{ab}{de} = \frac{bc}{ef} = \frac{ac}{df} [/tex]=k

[tex] \frac{6}{18} = \frac{12}{ef} [/tex]

[tex]ef = 36[/tex]

[tex] \frac{12}{36} = \frac{ac}{15} [/tex]

[tex]ac = 5[/tex]

[tex] \frac{6}{18} = \frac{12}{36} = \frac{5}{15} = \frac{1}{3} [/tex]

I hope it helps

Answer:

70/100 ; 3/10 ; 50/100

Step-by-step explanation:

You need to multiply numbers to make them equivalent.

1st Question:

7/10 has to multiply by 10/10 because the denominator of the other one is 100 and 10 x 10 is 100.

7 x 10 = 70

70/100 shall be your answer.

2nd Question:

This time you need to find your starting point.

A way to do this is to divide/simplify the fraction in order to make it equivalent.

You need to divide by 10 because your quotient and denominator at your starting point is 10 and 100/10 is 10.

30 divided by 10 is 3

Your Answer for this one is: 3/10

3rd Question:

Same thing as the 1st one.

Multiply by 10.

5 x 10 = 50

50/100 is your answer.

Answer:

Question 3

Find the range of the function for the domain 2 < x < 3

[tex]f(2)=(2)^2-1=3[/tex]

[tex]f(3)=(3)^2-1=8[/tex]

Therefore, the range of [tex]f(x)=x^2-1[/tex] is [tex]3 < f(x) < 8[/tex] with domain 2 < x < 3

This means that for the function to be continuous, when the domain is x=3, f(x) = 8

[tex]f(3)=2a(3)=6a[/tex]

[tex]\implies 6a=8\implies a=\dfrac43[/tex]

Similarly, when the domain is x > 3, f(x) > 8

[tex]f(3)=b(3)-4=3b-4[/tex]

[tex]\implies 3b-4 > 8 \implies b = 4[/tex]

Therefore, [tex]a=\dfrac43[/tex] and b = 4

Question 5

[tex]\textsf{let}\:u=\ln (x)[/tex]

[tex]\implies \dfrac{du}{dx}=\dfrac{1}{x}\implies dx=x\:du[/tex]

[tex]x=1\implies u=0[/tex]

[tex]x=3 \implies u=\ln 3[/tex]

[tex]\implies \displaystyle \int\limits_{1}^{3} \dfrac{\ln x \sin (\ln x)}{x} \,\:dx=\displaystyle \int\limits_{0}^{\ln 3} \dfrac{u \sin u}{x} \, \cdot x\:du=\displaystyle \int\limits_{0}^{\ln 3} (u \sin u) \, \:du[/tex]

Use integration by parts:

[tex]\displaystyle \int u\dfrac{dv}{dx} \, dx=uv- \displaystyle \int v \dfrac{du}{dx} \, dx[/tex]

[tex]\textsf{where}\:u=u\:\textsf{and}\:\dfrac{dv}{dx}=\sin u[/tex]

[tex]\implies \dfrac{du}{dx}=1\:\textsf{and}\:v=\int \sin u=-\cos u[/tex]

[tex]\implies \displaystyle \int\limits_{0}^{\ln 3} (u \sin u) \, \:du=-u \cos u- \int\limits_{0}^{\ln 3}-\cos u \,\:du[/tex]

[tex]\begin{aligned}\implies \displaystyle \int\limits_{0}^{\ln 3} (u \sin u) \, \:du & =\left[-u \cos u+ \sin u\right]_{0}^{\ln 3}\\ & =[- (\ln 3) \cos (\ln 3)+ \sin (\ln 3)]-[-0 \cos (0)+ \sin (0)]\\\\ & =[- (\ln 3) \cos (\ln 3)+ \sin (\ln 3)]-0\\\\ & = 0.3908925527...\end{aligned}[/tex]

Answer:

x = -1/7

Step-by-step explanation:

3/5x + 5 = 4/5

3/5x + 5/1 = 4/5

3 + 25x/5x = 4/5

4(5x) = 5(3 + 25x)

20x = 15 + 125x

-15 = 125x - 20x

-15 = 105x

-15/105 = x

-1/7 = x

The function g(x) = x³ - x² - 4x + 4 has zeros at 1, 2 and -2. The y intercept is at 4.

An equation is an expression that shows the relationship between two or more numbers and variables.

The zeros of the function is at:

g(x) = 0, hence:

x³ - x² - 4x + 4 = 0

(x - 1)(x² - 4) = 0

(x - 1)(x + 2)(x - 2) = 0

x = 1, x = -2 and x = 2

The y intercept is at x = 0, hence:

g(0) = 0³ - 0² - 4(0) + 4 = 4

The function g(x) = x³ - x² - 4x + 4 has zeros at 1, 2 and -2. The y intercept is at 4.

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Answer:

c:) 150 in²

Step-by-step explanation:

It's basically and SAS triangle

SAS is Side, Angle, Side

side 15 in angle 90° and 20 in

a = 20 in

b = 25 in

c = 15 in

Angles:

A = 53.1301 °

B = 90 °

C = 36.8699 °

Other:

P = 60 in

s = 30 in

K = 150 in2

r = 5 in

R = 12.5 in

Agenda:

A = angle A

B = angle B

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

The area of the property is the product of its dimensions, and the expression for the area is (x + 10)²

The area of the land is the product of its dimensions.

Let the length and the width of the land be x.

So, the area measured by the appraisal is:

Area = x²

One side of the land is 10 more than the measured length.

So, we have:

Area = (x + 10)²

Substitute 12 for x

Area = (12 + 10)²

Evaluate

Area = 484

Hence, the area of the property is 484

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Answer:

tbh I'm in 6 grade-_- and it's maybe higher than 10$

Answer:

6/7

Step-by-step explanation:

you juts switch the top and bottom

Brainleist please

Answer:f θ =2sin θ + square root of 3.

Step-by-step explanation: I think this is right

Answer:

Area of a triangle is 1/2 x base x height.

area of triangle = 1/2 x 20 x 17 = 170 square feet.

the image shows 4 triangles, total area = 170 x 4 = 680 square feet.

the answer is A. 680 sq. ft.

Hope this helps you!!

Please Mark me as Brainleast!!!!!!!!!!!!!

Answer: the answer is a which is 680 ft²

Step-by-step explanation: we will make 17 Times 220 divided by 2 equals 170 times by 4 equals 680 . Hope it helps you buddy .

Answer:

A

Step-by-step explanation:

If 50 is the diameter that thr radius is 25 and the equation to find the area of a circle is pi(r^2). So you would do pi(25^2) and that is 1963

5.25 g

Step-by-step explanation:

The half-life of a radioactive substance is the amount of time it takes for half the mass of the substance to decay.

In this question no calculations are required to get half-life. This is because it is given that it took 3 years for the 14g to halve to 7g.

To find amount of the substance after a further 4 years, we’ll use the formula;

Final amount = initial amount / 2ⁿ

Where n = elapse time / half-life

We begin by finding n;

n = 4 years / 3 years

= 4/3

Final amount;

=  initial amount / 2ⁿ

= 7  / 2 ^ (4/3)

= 5.25 g

Learn More:

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Answer:

Step-by-step explanation:

There's a saying to this kind of equation: Rate + Time = Distance and B best fits the saying, so B must be right (Don't quote me on that, it may be wrong)

the linear equation that can be used to find the distance that Eric travels each day is A. d = rt & the total distance that Eric travels each day is C. 112.5 miles.

Speed is measured as distance moved over time.

here, given that,

He drives at a rate of 75 mph on the interstate for a total of 1.5 hours.

so, the linear equation that can be used to find the distance that Eric travels each day is A. d = rt

i.e. d= 75*1.5

      =112.5

& the total distance that Eric travels each day is C. 112.5 miles.

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