Evaluate 6/8×4/5 Give your answer in its simplest form.

It will take about 5 years for her investment to grow to $2400.

The formula for calculating the compound amount is expressed according to the equation;

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]

Substitute the given parameters into the formula to have:

[tex]2400=1600(1+\frac{0.08}{12} )^{12t}\\1.5=(1+0.00667)^{12t}\\[/tex]

Take the natural logarithm of both sides

[tex]ln(1.5)=12tln(1.00667)\\12t=\frac{ln(1.5)}{ln(1.00667)}\\t = \frac{0.4054}{0.07977}\\t= 5.082years[/tex]

Hence it will take about 5 years for her investment to grow to $2400

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Answer:

its A

Step-by-step explanation:

The actual area of the closet floor is 3.52m.

A Rectangle is a four sided-polygon, having all the internal angles equal to 90 degrees.

It has different lengths and widths.

We have,

Closet dimensions:

Length = 4.4 cm

Width = 3.2 cm

We need to convert the unit cm into meters.

We are given that,

2cm = 1m

Multiply 4.4/2 on both sides

4.4 cm = 4.4/2 x 1m

4.4 cm = 2.2 m

Length = 2.2m

Multiply 3.2/2 on both sides.

3.2 cm = 3.2/2 x 1m

3.2 cm = 1.6 m

Width = 1.6m

The actual area of the closet:

= length x width

= 2.2m x 1.6m

= 3.52m

Thus the actual area of the closet floor is 3.52m.

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Answer:

y=-2x-4

Step-by-step explanation:

Answer:

Elena spends 1.5 hours washing clothes.

Step-by-step explanation:

12.5 / 100 = 0.125

0.125 x 12 = 1.5

Answer:

a = m/c

Step-by-step explanation:

I translated the paragraph into these options.  Please check accuracy.

m = ca?

a = cm   No,  a = m/c

a = m/c Yes

c = am   No,  c = m/a

c = a/m  No,  c = m/a

The option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.

Given to us:

[tex]m=ca[/tex]

dividing both sides by c, we get

[tex]m=ca\\\\\dfrac{m}{c}=\dfrac{ca}{c}[/tex]

canceling c from right hand side, we get

[tex]\dfrac{m}{c}=a \\\\a=\dfrac{m}{c}[/tex]

Therefore, the option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.

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Answer:

8 x 10¹³ is your answers hopes it's helpful to you

Answer: It would be b.

Step-by-step explanation: A unit rate means a expression for 1. If you take the ratio 2:18 and change it to 1:X, you divide both sides by 2, and X is 9 meaning Steve travels 9 miles per hour.

Answer:

Step-by-step explanation:

The answer is 27

The value of x is 4.

The perimeter of a polygon is the total length of the boundary. For a triangle, we can find it by adding the lengths of its three sides. We can find the length of the fencing required for a triangular park by finding the perimeter of the triangle.

The triangle has a perimeter of 73.

[tex]7x-2+3x+9+8x-6=73\\18x+1=73\\18x=72\\x=4[/tex]

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Answer:

y=2/7 x+38/7

Step-by-step explanation:

equation of the line y =ax+b;

a = 4-6/ -5-2

Answer:

36°

Step-by-step explanation:

I used an online protractor to solve it

Hi,

[tex]\frac{x^{a} }{x^{b} } =x^{a-b}[/tex]

a)

[tex]\frac{x^{7} }{x^{3} }= x^{7-3} = x^{4}[/tex]

b)

[tex]\frac{y^{5} }{y^{4} } = y^{5-4} = y^{1} = y[/tex]

;)

Answer: I cannot tell what equations you are talking about.

Step-by-step explanation:

Please type in the equations instead of copying and pasting so we can know what the actual equation is. Thank you.

Answer: B

Step-by-step explanation:

Got it right

Step-by-step explanation:

well, we just do the multiplication and simplify by combining terms with the same base :

10(-5x + 3) - 2x = -50x + 30 - 2x = -52x + 30

Hence, -52x + 30 is the evaluated expression.

Hoped this helped.

Answer:

A. Angle E = 30° and angle D = 60°

Step-by-step explanation:

tan(E) = Opposite/Adjacent

tan(E) = 5/8.66

E = tan^-1(5/8.66)

E = 30°

There's 180° in a triangle, and this is a right triangle.

30 + 90 + x = 180

120 + x = 180

x = 180 - 120

x = 60

D = 60°

Answer:

79 m

Step-by-step explanation:

We know that

Perimeter of rectangle = 2(l + b)

=> 288 = 2(l + 65)

=> 288/2 = l + 65

=> 144 = l + 65

=> 144 - 65 = l

=> 79 = l

Hence,

Length of rectangle is 79 m

Answer:

Length of parking lot = 79m

Explanation:

2 × length + 2 × breadth = perimeter of rectangle

2 × length + 2 × 65 = 288

2 × length + 130 = 288

2 × length = 288 - 130

= 158

length = 158 ÷ 2

= 79

Answer:

Step-by-step explanation:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Answer:

no solutions

Step-by-step explanation:

7x + 15 = 9x + 15 - 2x + 1

Combine like terms

7x+15 = 7x+16

Subtract 7x from each side

7x+15-7x = 7x+16-7x

15 =16

This is not a true statement so there are no solutions

Answer:

none of the above

Step-by-step explanation:

it should be: 9.70/5 = 11/x

Answer:

e

Step-by-step explanation:

If a central angle measures 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc = 57 degrees.

Recall:

Thus, if the measure of a central angle = 57 degrees, based on the angle-arc relationship, the measure of its intercepted arc will also be 57 degrees.

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Answer:

13 yrs old

Step-by-step explanation:

104/8=13

Answer:

14 years ago

Step-by-step explanation:

birthday January 16

[tex] \: \: [/tex]

Answer:

b. 2.34 x 10 ^-2

Step-by-step explanation:

0.0234 written as scientific notation is 2.349 x 10-2

Answer:

  a = 0

Step-by-step explanation:

The cube root (radical) is equivalent to x^(1/3). When that is divided by x^(1/3), the result is ...

  (x^(1/3))/(x^(1/3)) = x^(1/3 -1/3) = x^0

Comparing that to x^a, we find a=0.

_____

The applicable rules of exponents are ...

  [tex]\sqrt[n]{x^m}=x^{\frac{m}{n}}\\\\\dfrac{x^a}{x^b}=x^{a-b}[/tex]

The difference between the two perimeters is 32 yards.

Maria's garden measures 14 feet by 16 feet and has a perimeter of 60 feet.

Musharraf's garden measures 10 yards by 4 yards. The perimeter will be:

= 2(10 + 4)

= 2 × 14

= 28 yards

The difference will be:

= 60 - 28

= 32 yards.

Answer:

18 glue sticks are left.

Step-by-step explanation:

There are 5 glue sticks in each pack which means you multiply. 4*5=20. The class uses 2 glue sticks so 2 are removed. 20-2=18. i hope this helped !!! :) <3 !!

Answer:

3

Step-by-step explanation:

-6+9=3

Answer:

y = m x + b equation of a straight line

m m' = -1    condition for perpendicular lines

If y = 4 x - 7     then m = 4 so m' = -.25

Y = -.25 X + A      we need to find A

A = Y + .25 * 8 = 2 + 2 = 4

Y = -.25 X + 4

Check:

2 = -.25 * 8 + 4 = -2 + 4 = 2

The solution of the system belongs to -1 ≤ x ≤ 1, -1 ≤ y ≤ 1.

Given a system of the equations:

x/3 + y/2 = 1/3  .... (1)

(5x)/6 - (3y)/4 = 1/6  ....(2)

Multiply 5/2 to equation (1) then subtract from equation (2), we get,

(5y)/4 + (15y)/8 = 5/6 - 1/6

(10y + 15y)/8 = 4/6

(25y)/8 = 4/6

25y = 4/6 x 8

y = 32/150

y = 0.21

To find the value of x,

x/3 + 32/300 = 1/3

x/3 = 1/3 - 32/300

x = 3(1/3 - 32/300)

x = 1 - 32/100

x = 0.68

From the given choices,

-1 ≤ x ≤ 1, -1 ≤ y ≤ 1.

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