Nina deposited $6,000 in a savings account with simple interest. Six months later, the
account held $6,270. What was the interest rate?

SOLUTION

The given series is

Notice that the series is a geometric series with common ratio as:

The sum to infinity is:

Notice that the first term is a=250

Hence the sum to infinity is

Therefore the sum is 1250

Hence the it converges

Area of the given heptagon = 364 square unit.

The given figure is regular heptagon,

length of each side = 10

Distance between Centre and edge = 10.4

Since we know that,

A seven-sided polygon with seven angles, seven vertices, and seven edges is known as a heptagon. They may have the same or different length dimensions. It is a closed figure, and a regular heptagon is one with all equal seven sides.

Now,

Perimeter of the given heptagon = 7x10

                                                       = 70

Area of heptagon = perimeter x 10.4/2

                              = 70 x 5.2

                              = 364

Hence,

Area = 364 square unit.

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Answer:

21%

Step-by-step explanation:

210 is 10.5% of the amount that is for 6 months doubling it will make it 420 that is 21% of the total amount of 2000.

The slope-intercept equation of the line with a slope of 8 and a y-intercept of (0, 9) is y = 8x + 9.

To find the slope-intercept equation of a line, we use the form y = mx + b, where m represents the slope and b represents the y-intercept.

Given:

Slope (m) = 8

Y-intercept (0, 9)

We can substitute these values into the slope-intercept form:

y = mx + b

y = 8x + 9

Consequently, y = 8x + 9 represents the slope-intercept equation for the line with a slope of 8 and a y-intercept of (0, 9).

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Answer:

I'm pretty sure it's 5h-2

Step-by-step explanation:

So (6h+1)-h-3

5h-2

Answer:

-2

Step-by-step explanation:

6h+1-(h+3)=6h+1-h-3=5h-2

Answer:

Step-by-step explanation:

1st 10 days - 8 GB

2nd 10 days - 8 GB

3rd 10 days - 8 GB

________________

30 days    -  24 GB

The line's slope is \(\frac{1}{2}\) and the distance increases by 1 mile every 2 hours.

What is a good example of a line's slope?

The proportion of the increase in the y-value to the increase in the x-value may also be used to determine slope. For instance: We can get the slope of a line given two locations, P = (0, -1) & Q = (4,1) on the line.

A. Since the line's slope is 2, it follows that the y-variable, which is most likely distance, grows by 2 units for every increment in the x-variable, which is most likely time. The accurate statement is thus: speed is increased by Two miles per hour.

B. Since the line's slope is 2, it follows that the y-variable will drop by 2 units for every unit rise in the x-variable, which is most likely time. The accurate description is thus: speed drops by Two miles per hour.

C. If the line's slope is 1/2, the y-variable will rise by 1/2 unit for every increment in the x-variable, which is probably time. The precise description is that the distance grows by a mile every two hours.

D. If indeed the line's slope is 1/2, the y-variable will drop by 1/2 unit for every unit rise in the x-variable, which is probably time. The precise description is: distance shrinks by a mile every two hours.

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Answer:

50.2cm

Step-by-step explanation:

16/sin(65)=17.65 (2 of those)

16/tan(65)=7.46 (base)

17.65+17.65+7.46=50.23

Answer:

oc,2

Step-by-step explanation:

(__(_+)£)£(£886++17+£7+

Step-by-step explanation:

it's probably 1/3 option C.

Hope this answer helps you!

Answer:

\( the \: fee \: for \: one \: class \: in \: dollars \: is\to = \underline{ \boxed{ \$65}} \\ \)

Step-by-step explanation:

\(if \: \boxed{ y=40x+25 }\\ if \: \boxed{y} \: is \: the \: total \: cost \ \: : then \: when \: \boxed{ x = 1} \\ y=40(1)+25 \\ y=40+25 \\ \underline{ \boxed{ y = 65}}\)

♨Rage♨

The ratio of the perimeters is 5:1.

The area around a form's edge is known as its perimeter. By adding together the lengths of the sides of various forms, one may determine their perimeter.

A rectangle's dimensions are scaled by a factor of 5 when each of its dimensions is multiplied by 5. Moreover, the new rectangle's perimeter will be scaled by a factor of 5. As a result, the following will be the ratio of the new rectangle's perimeter to the previous rectangle:

5 * (old rectangle's perimeter) / (perimeter of old rectangle)

which is equivalent to:

5:1

The perimeters are therefore 5:1 in ratio.

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Answer:

a. (x+5)^2 = 49

b. (x+7)^2 = (x+1)^2

Step-by-step explanation:

So the term "a number" is always going to be x. input x into the sentences. "X plus five, then squared, is forty-nine". when they do "is __", that means equal to. In the second question, seven more than x is x + 7 (the two numbers are interchangeable here). Equivalent also means equal. hope this helped :)

Answer:

a: x + 5^2 = 49

b: 7>x^2=(put three lines not two) (1>x)^2

Step-by-step explanation:

Answer:

I believe answer B.

Answer:

y + 2x = 10 (third option)

Step-by-step explanation:

We can see that every time x increases by one, y increases by -2, meaning that the slope is -2.

We also know that the y-intercept is 10 because that is the value of y when x is equal to 0.

Now, we can create the equation using the slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept).

y = -2x + 10

If you look at the third option, that equation is just a rearranged form of our equation (y + 2x = 10).

This means that the third option is correct.

Answer:

C, or y+2x=1-

Step-by-step explanation:

Test them one by one. Put the y into the equation and the x in the equation. Whichever ones always work are the correct answer. Remeber, you have to consider all the possible values of x and y when you test them!

MXXX

Answer:

-7 = x +6

Step-by-step explanation:

Answer:

Step-by-step explanation:si

Answer:

A =12.56 m^2

Step-by-step explanation:

Find the area of a circle with radius 4

A = pi r^2

A = 3.14 * 4^2

A =50.24

Since this is 1/4 of the circle, multiply by 1/4

A = 1/4 * 50.24

A =12.56 m^2

Answer:

12.56

Step-by-step explanation:

the formula for the area of a circle is the following:

\(\pi r^{2}\)

so divide that formula by 4 to get a quarter and plug in the radius for r.

\((\pi )(4^2)/4= 12.56\)

The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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Answer: One way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:

the 1/2 teaspoon measuring spoon 3 times to measure 3/2 = 1 1/2 teaspoons

and use the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons

3 1/2 + 2/3 = 3 1/6

Another way to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2 -teaspoon measuring spoon is to use:

the 1/3 teaspoon measuring spoon 6 times to measure 6 * 1/3 = 2/3 teaspoons

and use the 1/2 teaspoon measuring spoon 6 times to measure 6 * 1/2 = 3 teaspoons

3 + 2/3 = 3 1/6

So, there are two ways to measure 3 1/6 teaspoons of salt using 1/3 -teaspoon and 1/2-teaspoon measuring spoon, one is by using 3 times 1/2 teaspoon measuring spoon and 6 times 1/3 teaspoon measuring spoon and the second one is by using 6 times 1/3 teaspoon measuring spoon and 3 times 1/2 teaspoon measuring spoon.

Step-by-step explanation:

Answer:

exactly normal

Answer:

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FGH

KGK

OPHOGPF'HK

Step-by-step explanation:

HDHDTHJTIHPOTJYITOIJOIJHIFJOGJOHGGJFJGOIJOFHGM;LVHHPKPGJYJKTUYJY

The true statement about the graphed function is:

F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

Looking at it's graph, we have that:

Researching this problem on the internet and looking at the graph of the function, the correct statement is given by:

F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

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Answer:

B. ⁴/3π(6)³

Step-by-step explanation:

Formula for volume of a sphere = ⁴/3πr³

Where,

radius (r) = 6 units

Plug in the given value into the volume formula

Volume of the sphere = ⁴/3 × π × (6)³

Volume of the sphere = ⁴/3π(6)³

The expression that represents the volume of the given sphere is therefore ⁴/3π(6)³ cubic units.

The expression for the volume of the sphere is:

V = (4/3)*3.14*(6)^3

For a sphere of radius R. the volume is given by:

V = (4/3)*pi*R^3

Where pi = 3.14

Here we know that the radius is 6 units, so we can write the volume as:

V = (4/3)*3.14*(6)^3

As you can see, the second option (counting from the top) is the correct one.

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Answer:

Equation.

Step-by-step explanation:

The term equation state that the two expression are equal that means left hand side of the expression and right hand side of expression are equal.

Whereas if the two equation are not equal then it is known as inequality.

Thus, the given statement is correctly filled with equation.

1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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Answer:

x = 175

Step-by-step explanation:

Answer:

x + 1.4x = 180

2.4x = 180

x = 75, so 1.4(75) = 105

The value of x for each item is given as follows:

28. x = 5.

29. x = 3.44.

For item 28, we apply the crossing chord theorem, which states that the products of the parts of the chords are equal, hence the value of x is obtained as follows:

16x = 10 x 8

16x = 80

x = 5.

For item 29, we apply the two secant theorem, hence the value of x is obtained as follows:

10(x + 10) = 12(12 + 25)

10x + 100 = 444

10x = 344

x = 3.44.

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In linear equation, Equation for line F is y = 1.75x + 3.5 and equation for line G is y = -4x-8.

What is a linear equation example?

y = 1.75x + 3.5   (For line F)

let's take the point (2,7) and put in the equation,

y = 1.75*2 + 3.5

 = 3.5 +0.35

 = 7

which is true.

Hence, (2,7) satisfies the equation.

y = -4x-8   (For line G)

lets take the point (-3,4) and put in the equation,

y = (-4)*(3) - 8

 = 12 - 8

 = 4

which is true.

Hence, (-3,4) satisfies the equation.

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