If the simple interest on $2,000 for 8 years is $1,120, then what is the interest rate?

The last one , because I will now solve it for you and prove therefore.

x²–4x+5=0;

D=(–4)²–4•5=16–20= –4= (2i)².

So:

x1= (4–2i)/2= 2–i

x2= (4+2i)2= 2+i.

This is the whole answer....

Three other u will solve by yourself and have roots which will not be suitable.

Answer:

The simple interest accumulated  on a principal of ₹20,000  at a rate of 12% per year  for 4 years is ₹9600.

Step-by-step explanation:

Given

Principle P = ₹20,000

Rate r = 12% per annum = 0.12 per annum

Time period t = 4 years

To determine

Simple Interest I = ?

Using the simple interest formula equation

I = Prt

substituting P = 20000, r = 0.12, t = 4

I = 20000 × 0.12 × 4

I = ₹9600

Therefore, the simple interest accumulated  on a principal of ₹20,000  at a rate of 12% per year  for 4 years is ₹9600.

Answer:

The length could be 6, 10, or 15 and the breadth; 5, 3 and 2 respectively

This is because, length x breadth = area

6x5=30

10x3=30

15x2=30

Answer:

x = 10

y = 20

Step-by-step explanation:

[tex] \tan \: 30 \degree = \frac{x}{10 \sqrt{3} } \\ \\ \frac{1}{ \sqrt{3} } = \frac{x}{10 \sqrt{3} } \\ \\ \sqrt{3} x = 10 \sqrt{3} \\ \\ x = \frac{10 \sqrt{3} }{ \sqrt{3} } \\ \\ x = 10 \\ \\ \cos 30 \degree = \frac{10 \sqrt{3} }{y} \\ \\ \frac{ \sqrt{3} }{2} = \frac{10 \sqrt{3} }{y} \\ \\ y = 10 \sqrt{3} \times \frac{2}{ \sqrt{3} } \\ \\ y = 10 \times 2 \\ \\ y = 20[/tex]

Answer:

5.3 to the 3rd power

Step-by-step explanation:

The expression 5.3 x 5.3 x 5.3 x 5.3 can be expressed as (5.3)⁴.

To express 5.3 x 5.3 x 5.3 x 5.3 as a power, we can use the exponentiation property.

When we multiply a number by itself multiple times, we can simplify it using an exponent.

In this case, we have four instances of multiplying 5.3 by itself. So we can write it as:

5.3 x 5.3 x 5.3 x 5.3 = (5.3)⁴

The exponent 4 indicates that we are multiplying 5.3 by itself four times.

It represents the number of times the base (5.3) is multiplied by itself.

So, (5.3)⁴ means 5.3 raised to the power of 4, which is equivalent to multiplying 5.3 by itself four times.

Therefore, 5.3 x 5.3 x 5.3 x 5.3 can be expressed as (5.3)⁴.

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Answer:

i think its going to be 180* degreas! sorry if im wrong

Step-by-step explanation:

Answer:

Number of volleyballs bought = 8

Number of basketballs bought = 11

Step-by-step explanation:

Given that:

Total amount spent = $204.20

Let,

x be the number of volleyballs

y be the number of basketballs

According to given statement;

y = x+3     Eqn 1

8.20x+12.60y=204.20     Eqn 2

Putting value of y from Eqn 1 in Eqn 2

8.20x + 12.60(x+3) = 204.20

8.20x + 12.60x + 37.80 = 204.20

20.80x = 204.20 - 37.80

20.80x = 166.40

Dividing both sides by 20.80

[tex]\frac{20.80x}{20.80}=\frac{166.40}{20.80}\\x=8[/tex]

Putting x=8 in Eqn 1

y = 8+3 = 11

Hence,

Number of volleyballs bought = 8

Number of basketballs bought = 11

Answer:

hi how you doing

Step-by-step explanation:

bye have a great day 12

Answer:

(i) 7 one is equivalent is equivalent to [tex]\frac{7}{100}[/tex] hundreds, (ii) 1400 tenths is equivalent to 14 tens.

Step-by-step explanation:

We proceed to find the equivalent number in rational form:

(i) 7 one is equivalent to how many hundreds? In this case, we know that 7 one is equivalent to [tex]x[/tex] hundreds. That is:

[tex]7\times 1 = x \times 100[/tex]

Then, we solve the expression for [tex]x[/tex]:

[tex]x = \frac{7\times 1}{100}[/tex]

[tex]x = \frac{7}{100}[/tex]

7 one is equivalent is equivalent to [tex]\frac{7}{100}[/tex] hundreds.

(ii) 1400 tenths is equivalent to how many tens? In this case, 1400 tenths is equivalent to [tex]x[/tex] tens. That is:

[tex]1400\times \frac{1}{10} = x\times 10[/tex]

Then, we solve for [tex]x[/tex]:

[tex]x = \frac{1400}{10\times 10}[/tex]

[tex]x = \frac{1400}{100}[/tex]

[tex]x = 14[/tex]

1400 tenths is equivalent to 14 tens.

A dilation will always produce similar figures. Therefore, option C is the correct answer.

We need to find the which is a true statement about dilation.

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape. But there is a difference in the size of the shape.

After the dilations an image and original shape look same, so they are similar.

A dilation will always produce similar figures. Therefore, option C is the correct answer.

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Answer:

You might have to round, but ≈1.2015

Step-by-step explanation:

butter: flour

23 : 134 is really just a:b

b = 7, so: a : 7

Divide both sides by 134, so

≈0.172 : 1

Multiply by 7 to get 7 cups of flour

≈1.2:7

Answer:

Is this Trig? If so I recommend using SOHCAHTOA, if not i have No way of helying you sorry

Step-by-step explanation:

Answer:

well- you cant buy any pounds-

Step-by-step explanation:

Answer:

$340

Step-by-step explanation:

We are told that the pool measures 15 feet by 30 feet,

Since the cost of the wood around it is per yards, let's convert this measurement to yards.

15 ft = 5 yards

30 ft = 10 yards

The deck is 3 ft wide. Converting to yards it is 1 yard.

Since the deck is round the pool, it means when we add it to the pool dimensions, we now have a dimension of; width: 7 yards by length: 12 yards

Thus, total area of pool and deck is;

A_t = 7 × 12 = 84 Sq.yds

Area of only pool is;

A_p = 5 × 10 = 50 Sq.yds

Finally, area of the deck will be;

A_d = 84 Sq.yds - 50 Sq.yds = 34 Sq.yds

We are told that the costs of the wood is $10 per Sq.yds

Thus, total cost is;

C = 10 × 34

C = $340

Answer:

A and C

Step-by-step explanation:

Answer:

y = x - 11

Step-by-step explanation:

First, turn the f(x) into a y:

y = x + 2 + 9

Now, switch the x and y.

x = y + 2 + 9

Add like terms.

2  + 9 = 11

x = y + 11

Now, solve for y. Subtract 11 on both sides.

y = x - 11

Answer:

I need Help on this one too.

Step-by-step explanation:

PLease Help

Answer:

Part A: it is linear because it is not curving and it consists of straight lines.

Part B: in side A it is increasing because it has a positive slope. In side b it is constant because the slope is 0 since it is straight. Finally, side C is decreasing because the slope is negative.

Part C: during side A the ant is crawling out of the hole in 2 seconds. After that, the ant stops for 2 more seconds as shown in side B. Then, he crawls back into the hole as shown by the decrease in distance due to the slope.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

This is a fraction equal to

30 miles ÷ 2.5 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 2.5

30 miles ÷ 2.5

2.5 hours ÷ 2.5

=  

12 miles

1 hour

=  

12 miles

hour

= 12 miles per hour

Answer:

12

Step-by-step explanation:

25-13= 12

Answer:  The first table

Step-by-step explanation:

1:16

2:32

4:64

8:128

Answer:

The first one that goes 1-8 under the cups.

Step-by-step explanation:

Since theres 16 tablespoons in 1 cup, it goes up by 16 per cup. So, for 2 cups, it's 2 x 16, for 3 cups, its 3 x 16, and so on. If you were to do that the first table is the only one that matches.

Answer:

8/7, 8/7

Step-by-step explanation:

Answer:

920

Step-by-step explanation:

-- least common multiple of 36, 6, 3 = 36

- it is the smallest number divisible by all three.

Answer:

c) meter

Step-by-step explanation:

Millimeters and Centimeters are too short of units for a soccer field, and kilometers are too big.

Answer:

meter

Step-by-step explanation:

centimeters are way to small and millimeter is also way to small kilometer Is to big so it has to be a meter

The equations correctly set up the law of cosines to solve for x will be x² = 5² + 8² - 2 (5)·(8) cos 55°. Then the correct option is B.

The squared of the size of any solitary side of either a triangle is equal, by the cosine rule, to the total of the squares of the lengths of the other two sides, times by the cosine of something like the angle they are a part of.

Let the triangle ΔABC, then the cosine law is given as,

c² = a² + b² - 2 a·b cos C

From the graph, the measure of the length 'x' is calculated as,

x² = 5² + 8² - 2 (5)·(8) cos 55°

The equations correctly set up the law of cosines to solve for x will be x² = 5² + 8² - 2 (5)·(8) cos 55°. Then the correct option is B.

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Answer:

7

Step-by-step explanation:

All you have to do is divide 42 by 6 and you get 7!

I hope this helps and have a great day!

Answer:

4 to the -2 power divided by 4 to the 4th power

[tex] \frac{ {4}^{ - 2} }{ {4}^{4} } = \frac{1}{( {4}^{2} \times {4}^{4} ) } = \frac{1}{ {4}^{(2 + 4)} } = \frac{1}{ {4}^{6} } = \frac{1}{4096}\\ [/tex]

Answer:

m= −7/3

(x1,y1)=(−3,8)

(x2,y2)=(0,1)

Use the slope formula:

m=

y2−y1

x2−x1

=

1−8

0−−3

=

−7

3

=

−7

3