Witch product is less then 5/8

7/10x5/8
4/3x5/8
9/7x5/8
3/2x5/8

Thank you

Answer:

$104850

Step-by-step explanation:

Given data

Principal=  $45,000

Time = 13 years

Rate= 6.75%

the compound interest expression is

A= P(1+r)^t

A=45000(1+0.0675)^13

A= 45000(1.0675)^13

A= 45000*2.33

A= $104850

Hence the final amount will be $104850

Answer:

R = 101

S = 131

Step-by-step explanation:

First, you will want to get your angle T. Since T is on the same line as the angle with 128 degree, you can easily find angel T. They are supplementary angels and form 180.

T=180-128

T=52

You also know that all angles in a triangle equal to 180

Use that to find angle S

180 = R+S+T

180 = 79 + S + 52

180 - 79 - 52 = S

49 = S, exterior S = 180-49 = 131

Exterior R = 180 - 79 = 101

Now add all your exteriors

Answer:

x = [tex]\frac{1}{2}[/tex] , x = 1

Step-by-step explanation:

Given

[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{x^2-9}[/tex] ← denominator is a difference of squares

[tex]\frac{2x}{x+3}[/tex] + [tex]\frac{3}{x-3}[/tex] = [tex]\frac{8}{(x+3)(x-3)}[/tex]

Multiply through by (x + 3)(x - 3) to clear the fractions

2x(x - 3) + 3(x + 3) = 8 ← distribute left side and simplify

2x² - 6x + 3x + 9 = 8

2x² - 3x + 9 = 8 ( subtract 8 from both sides )

2x² - 3x + 1 = 0 ← in standard form

(2x - 1)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]

x - 1 = 0 ⇒ x = 1

Answer:

16

Step-by-step explanation:

AB = BC    

32[tex]\sqrt{2}[/tex] = [tex]\sqrt{2 *AB^{2} } \\ => AB = 32 = BC\\x= BC/2 => x = 32/ 2 = 16[/tex]

Answer:

1. Right Triangle

2. Right Triangle

3. Not a Right Triangle

4. Not a Right Triangle

Answer:

Step-by-step explanation:

90 = 10x+30

60 = 10x

6 = x

Yes, this parabola is a function because it passes the vertical line test!

The vertical line test is a test where you move left to right over a graph, and look to see if there are any instances where the vertical line touches two points at the same time. If not, then the graph is a function!

Hope this helps!! :)

Answer:

the angle shown is a straight angle value of which is equal to 180°

3x + 30. 6 = 180

3x = 180 - 30. 6

3x = 149.4

Answer:

Step-by-step explanation:

Please the number given in place of its letter in your equation

x = 5y + 2 if y = 7

x = 5*7 + 2

x = 35 + 2

x = 37

Apply the same principle to the others

Answer:

9a) 6 1/5

b) 6 4/7

c) 1 1/0

d) 4 1/8

e) 1 1/3

f) 3 1/6

10a) 15 years old

b) 14 1/6 years old

11) 8/3 = 2 2/3

7/5 = 1 2/5

2 2/3 + 1 2/5 = 4 1/15

12a) They ate 3 11/12 pizzas

b) They ate 1 1/3 more cheese pizzas than veg

Answer:

180

Step-by-step explanation:

90 + 4x + 7x - 20 equals to 180

Answer:

B. 50

Step-by-step explanation:

Answer:

C = 12 pi

Step-by-step explanation:

The radius is 6

The circumference is given by

C = 2 * pi *r

C = 2 * pi *6

C = 12 pi

Answer:

12π

Step-by-step explanation:

the circumference of the circle can be found using the formula: 2πr.

RW is the radius, and we know that RW=6, so we can plug this into the formula:

C=2πr

C=2π(6)

C=12π

so, the circumference of the circle is 12π.

Answer:

179.996

Step-by-step explanation:

Answer:

a=9

c= 17.5

angles: a =31, b =59, c =90

Step-by-step explanation:

a:

tan (31) = a/15 *cross multiply*

a = 15 (tan (31))

a = 9

c:

*use pythagorean theorum*

9^2 + 15^2 = c^2

81 + 225 = c^2

306 = c^2

17.5 = c

Answer:

B = 59

a = 9.01

c = 17.49

Step-by-step explanation:

Angle B

180 - 90 - 31 = 59

c

The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.

sin(B)=opp/hyp

sin(B)=15/c

sin(59)=15/c

c=15/sin(59)

c=17.49

Find the last side of the triangle using the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\a^{2} +15^{2} =17.49^{2} \\\\a^{2} =17.49^{2} -15^{2}\\a=9.01[/tex]

Answer:

4^4 = 16 (we square our radius when finding area)

16 x 3.14(we then multiply the squared radius with pi so we could get the complete area) = 50.24

Now we multiply the area of one circle by the height to get the PRISM'S volume.

50.24(area) x 13(height) = 653.12 cm^3 is your answer.

Answer:

25 hours

Step-by-step explanation:

first you ask yourself that :

if it takes just 10 hrs to make $80 , would it take more or less hours to make $200.

The answer is it will take more hours to make $200,

Based on this idea established: we say if it's giving more then less would divide.

so therefore:

we have

[tex] \frac{200}{80} \times 10 [/tex]

finally we have 25 hours.

Thanks

Answer: The correct option is (D) 4.

Step-by-step explanation:

According to the intersecting chords theorem, if two chords intersect in a circle then the products of the length of the chord segment are equal.

Given:

DE = 2

CE = 6

BE = 3

Now calculating the the value of EA.

As per theorem:

[tex]DE\times CE=BE\times EA[/tex]

Now putting the all the given values in this expression, we get:

[tex]2\times 6=3\times EA\\\\EA=4[/tex]

Therefore, the measure of EA is 4.

Answer: [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given

There are 9 chips numbered 1 to 9 placed in a box

Margie selected one chip from the box

If the chip is multiple of 3 then the chip can be 3, 6, or 9

So, the probability associated with this is

[tex]\Rightarrow P=\dfrac{\text{favorable}}{\text{Total}}\\\\\Rightarrow P=\dfrac{3}{9}\\\\\Rightarrow P=\dfrac{1}{3}[/tex]

Answer:

AB ≈ 2.62 cm

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{15}{360}[/tex]

     = 2π × 10 × [tex]\frac{1}{24}[/tex]

     = [tex]\frac{20\pi }{24}[/tex]

     ≈ 2.62 cm ( to the nearest hundredth )

Answer:

D

Step-by-step explanation:

hey

Answer:

I thing answer is no. D .....

Answer:

g(x) = 12*x^2 + 8

Step-by-step explanation:

For a function f(x), a vertical stretch of scale factor k is defined as:

g(x) = k*f(x)

In this case, we know that f(x) = 3*x^2 + 2

And the function g(x) is the function f(x) vertically stretched by a factor of 4, then we have k = 4

and:

g(x) = 4*f(x)

Replacing by the actual function, we get

g(x) = 4*(3*x^2 + 2)

g(x) = 4*3*x^2 + 4*2

g(x) = 12*x^2 + 8

Answer:

The answer to the problem is 15.

Answer:

43.9823

Step-by-step explanation:

[tex]Arc length = 2\pi r(\frac{0}{360} )\\ = 2\pi 12(\frac{210}{360} )[/tex]

Answer:

226

Step-by-step explanation:

Area of rectangle:

x+6=17

x=11

11+6=17

11+3=14

17×14=238

Area of triangle:

[tex] \frac{1}{2} \times b \times h[/tex]

Use phytagoras theorem to find the base of the triangle:

c²=a²+b²

5²=4²+b²

25=16+b²

b²=25-16

b²=9

b=√9

b=3 (only the half)

b=6 (the whole base)

[tex] \frac{1}{2} \times 6 \times 4[/tex]

3×4

12

Shades region:

238-12

=226

Answer:

One of the legs is missing; the leg missing is 16 inches long

Step-by-step explanation:

Hypotenuse is usually the longest leg and you'll because it's directly across the biggest angle (the biggest angle is the right angle so Leg C would be the biggest leg).

20² - 12² = x²

400 - 144 = x

400 - 144 = 256

√256 = 16

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

[tex]A(t) = A(0)e^{-0.1392t}[/tex]

Find the substance's half life, in days.

This is t for which [tex]A(t) = 0.5A(0)[/tex]. So

[tex]A(t) = A(0)e^{-0.1392t}[/tex]

[tex]0.5A(0) = A(0)e^{-0.1392t}[/tex]

[tex]e^{-0.1392t} = 0.5[/tex]

[tex]\ln{e^{-0.1392t}} = \ln{0.5}[/tex]

[tex]-0.1392t = \ln{0.5}[/tex]

[tex]t = -\frac{\ln{0.5}}{0.1392}[/tex]

[tex]t = 4.98[/tex]

The substance half-life is of 4.98 days.

Answer:

Step-by-step explanation:

6^4*612/6^7

6^4*6^12-7

6^4*6^5

6^4+5

6^9

Answer:

4³=4*4*4 is a required expanded form.