For each equation how many solutions why?
Question e

The total amount accrued, principal plus interest, with compound interest on a principal of $500.00 at a rate of 8% per year compounded 1 times per year over 16 years is $1,712.97.

Given Data

A = P + I where

P (principal) = $500.00

I (interest) = $1,212.97

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 8/100

r = 0.08 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 500.00(1 + 0.08/1)^(1)(16)

A = 500.00(1 + 0.08)6(16)

A = $1,712.97

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Answer:

899 ft

Step-by-step explanation:

if point a is 400 feet from the base and 499 feet away from the top you would need to add 400+499 together to get 899

Answer:

B

Step-by-step explanation:

Area of circle= πr²

Start by finding the radius:

Diameter= 2(radius)

4= 2(radius)

radius= 4 ÷2

radius= 2 ft

Area of circular wall hanging

= 3.14(2²)

= 3.14(4)

= 12.56

= 12.6 ft² (nearest tenth)

Thus, option B is correct.

Answer:

27.25

Step-by-step explanation:

we find the mean by adding all the values and dividing by the number of values.

The circle with center (0,6) containing the point (74,2) has an equation of x² + (y - 6)² = 74.1²

The equation of a circle is:

(x - h)² + (y - k)² = r²

Where (h, k) is the center and r is the radius.

The circle with center (0,6) containing the point (74,2). Hence:

[tex]Radius=\sqrt{(2-6)^2+(74 -0)^2}=74.1\ unit[/tex]

The equation is:

x² + (y - 6)² = 74.1²

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Answer: 46 degrees

Step-by-step explanation:

Since all four verties of the quadrilateral lie on the circumference of the circle, this is a cyclic quadrilateral.

Using the fact that this is a cyclic quadrilateral, we know that the opposite angles must be supplementary. Therefore, 134+x=180, meaning x=46.

Answer:

Area of right angle triangle is axb/2

3x4/2 = 6 sq. Cm

Area of parallelogram = bxh

20x21.5 = 430 in2

Answer:

Area of the triangle: 6 cm
Area of the parallelogram: 430 in²

Step-by-step explanation:

Area of a triangle formula is base * height * 1/2, in this case 4 * 3 * 1/2, which equals 6.

Area of a parallelogram formula is base * height, in this case 21.5 * 20 which equals 430.

Answer:

B

Step-by-step explanation:

Answer:

I think it's C

Step-by-step explanation:

Answer:

what is the question?

Step-by-step explanation:

Answer:

Rational

Step-by-step explanation:

A rational number includes any whole number, fraction, or decimal that ends or repeats. An irrational number is any number that cannot be turned into a fraction, so any number that does not fit the definition of a rational number.

Answer:

10 ÷ 0.2=50

Step-by-step explanation:

10 lbs in total. Each batch uses 0.2 lbs.

We can find how many batches can be made by dividing 10 by 0.2.

10 ÷ 0.2=50

Juan is incorrect because if they could only make 5 batches then they would have only had 1 pound of red dye available.

They have 10 pounds of red dye available to make marbles, and if each batch takes only 0.2 lbs of it, then they can make 50 batches of marbles.

Answer:

Step-by-step explanation:

A = true

D = true

Answer:

63

Step-by-step explanation:

Multiply each side by 9

4y=252

Divide by 4

y=63

Answer:

y= 63

Step-by-step explanation:

Answer:

5x=2x+12

5x-2x=12

3x=12

x=4

A is the coreect one

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♪[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:f(x) = g(x)[/tex]

[tex]\qquad \sf  \dashrightarrow \:x + 2 = - {x}^{2} + 4[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + x + 2 - 4 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + x - 2 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 2x - x - 2 = 0 [/tex]

[tex]\qquad \sf  \dashrightarrow \:x(x + 2) - (x + 2) = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \:(x + 2)(x - 1) = 0[/tex]

Hence, x = -2 or x = 1

Step-by-step explanation:

y+2=3(x-7)

y+2=3x-21

y=3x-21-2

y= 3x-23

Slope is 3

Answer:

Slope intercept form;

y = mx + b

Where y is the independent variable, and x is the dependent variable, 'm' represents the slope and 'b' represents the y intercept.

We are given;

y + 2 =3(x - 7)

So we rearrange this into slope intercept form.

y + 2 = 3(x - 7)

Simplify:

y + 2 = 3x - 21

Apply inverse operation of addition (subtraction).

-2           -2

y = 3x - 23

2/3 ×12

= 2/1 × 4

= 2× 4

=8

........

Answer:

use a kittykat proportion

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

since a circle is 360 degrees, add up all of the other degrees and then subtract from 360

Answer:

A. 904.32 ft cubed

Step-by-step explanation:

Answer:

To find the percentage of a number when it is in decimal form, you just need to multiply the decimal number by 100. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%. The second case involves a fraction. If the given number is in fractional form, first convert it to a decimal value and multiply by 100.

Step-by-step explanation:

. For example, to convert 0.5 to a percentage, 0.5 x 100 = 50%

hope this will help

Answer:

68 degrees

Step-by-step explanation:

The straight horizontal line is a straight angle with 180 degrees it is split in a way that you know under the right angle, is another right ange making up part of the 180° line, add 22 and then subtract what you get from 180 to get 68.

A simpler way, add the angles in the X and 22 degree things and there is a right angle, 90 degrees, subtract 22 from 90 and get 68

Two different ways, either will work

Hope this helps!

Angles are complementary

x is 68°

Answer:

D. [tex]13(2.81)^n[/tex]

Step-by-step explanation:

[tex]13(1.09)^{12n} < ==exponents\ first\(PEMDAS)\\\\13(2.8126)^n < ==approximate\\\\13(2.81)^n[/tex]

Hope this helps!

The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The population mean with a 95% confidence interval is 18.7±5.9.

The margin of error is a statistic that expresses how much random sampling error there is in a survey's results. The wider the margin of error, the less confident one should be that a poll result reflects the outcome of a population-wide survey.

In order to find the population of the mean, we need to subtract the margin of error from the sample mean. Therefore, the population mean with a 95% confidence interval is 18.7±5.9.

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Answer:

It is Passive acceptance of racism, There was no reason why she needed to say black people unless she wanted to downplay them. She is being racist because she saying that only black people have this type of texture. If her friend made a joke like this then she would do worse jokes like calling black people monkeys (aka N's that the definition of the N-word monkey).

Answer:

Lin needs to do 16 more chores if she wants to be able to pay the park fee

Step-by-step explanation:

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a wonderful day!

Answer:

Below,

Step-by-step explanation:

f(x)=-(x+2)^2+4

(a) Vertex form

(b)  a = -1 , h = -2 and k = 4.

     vertex = (-2, 4)

(c) The value of a, -1 will invert it vertically or we can describe it as a reflection in the line y = 4. The graph will change from a U shape to a ∩ shape.

Answer: A

Step-by-step explanation:

You can multiply the coordinates by 4, giving (0,0)