How long will money in savings take to double at 5% interest compounded annually? Round the answer to the nearest hundredth of a year.

Answers

Answer 1

Answer: For a single payment with compound interest, the equation to use is F=P(1+i)^n where F is the value after n periods, P is the present value, and i is the interest rate.

If we want the final value F to double given 5% per year interest, F=2P then i=5.

Solving for n:

2P=P(1+0.05)^n
2=(1.05)^n
log(base 1.05)2=n
n=14.206=14.21 years

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The definition of an angle uses the undefined term _______ .A.Line
B.Point
C.Plane
D.Ray

Answers

Point.

Further explanation

This is one of the classic problems of Euclidean geometry.

The angle is determined by three points, we call it A, B, C, with A ≠ C and B ≠ C.

We denote an angle with three points and a symbol ∠. The middle point is always the vertex. We can also give angle names only with vertices. For example, based on the attached image, the angle can be denoted as ∠BAC, or ∠CAB, or ∠A.

Types of Angles

The acute angle represents an angle whose measure is greater than 0° and less than 90°.
The right angle is an angle that measures 90° precisely.
The obtuse angle represents an angle whose measures greater than 90° and less than 180°.
The straight angle is a line that goes infinitely in both directions and measures 180°. Carefully differentiate from rays that only runs in one direction.

Note:

Undefined terms are the basic figure that is not defined in terms of other figures. The undefined terms (or primitive terms) in geometry are a point, line, and plane.

These key terms cannot be mathematically defined using other known words.

A point represents a location and has no dimension (size). It is labeled with a capital letter and a dot.
A line is an infinite number of points extending in opposite directions that have only one dimension. It has one dimension. It is a straight path and no thickness.
A plane is a flat surface that contains many points and lines. A plane extends infinitely in all four directions. It is two-dimensional. Three noncollinear points determine a plane, as there is exactly one plane that can go through these points.

Learn more

Undefined terms are used to define a ray brainly.com/question/1087090
Definition of the line segment brainly.com/question/909890
What are three collinear points on a line? brainly.com/question/5795008

Keywords: the definition of an angle, the undefined term, line, point, line, plane, ray, endpoint, acute, obtuse, right, straight, Euclidean geometry

The definition of an angle uses the undefined term is $\boxed{{\text{Point}}}$ . Option (B) is correct.

Further Explanation:

Given:

The options are as follows,

A. Line

B. Point

C. Plane

D. Ray

Explanation:

A point is a location on the graph or at any surface.

A line is the distance between the two points that extends to infinite in both directions.

A ray is defined as the distance between the two points that extends to infinite in one direction.

Plane extends in two dimensions.

The definition of an angle uses the undefined term is $\boxed{{\text{Point}}}$ . Option (B) is correct.

Option (A) is not correct.

Option (B) is correct.

Option (C) is not correct.

Option (D) is not correct.

Learn more:

If the clothing maker bought 500 m2 of this fabric, how much money did he lose? use 1tepiz=0.625dollar and 0.9144m=1yard brainly.com/question/2479097.
Suppose that you find the volume of all the oceans to be 1.4×109km3 in a reference book. to find the mass, you can use the density of water, also found in this reference book, but first you must convert the volume to cubic meters. what is this volume in cubic meters? brainly.com/question/1446243.

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Line and Rays

Keywords: definition, angle, undefined term, line, point, ray, plane, an angle, points, extend, infinite.

If f(x)=25-x^2 and g(x)=x+5, what is (f/g) (x)? Wire your answer in simplest form

Answers

f(x)=25-x^2 and g(x)=x+5
(f/g) (x)=(25-x^2 )/(x+5)
25-x^2=(5-x)(5+x)
(f/g) (x)=(5-x)(5+x)/(x+5)

cancle out x+5

(f/g) (x)=(5-x)

What is the quotient (125 – 8x3) ÷ (25 + 10x + 4x2)?–2x + 5
2x – 5
–2x – 5
2x + 5

Answers

For this case we have the following expression:

$(125-8x^3)/(25+10x+4x^2)$

Factoring the numerator we have:

$(-(2x+5)(4x^2+10x+25))/(25+10x+4x^2)$

Rewriting the denominator we have:

$(-(2x+5)(4x^2+10x+25))/(4x^2+10x+25)$

Canceling similar terms we have:

$-(2x+5)$

$-2x-5$

Answer:

The quotient of the division is given by:

$-2x-5$

If you would like to solve (125 - 8x^3) / (25 + 10x + 4x^2), you can do this using the following steps:

(125 - 8x^3) / (25 + 10x + 4x^2) = - ((2x - 5) * (4x^2 + 10x + 25)) / (4x^2 + 10x + 25) = - (2x - 5) = - 2x + 5

The correct result would be - 2x + 5.

A small country in Europe has been experiencing population growth that can be modeled by the equation y=120,000(1.042)^x where y is the population of the country and x is the number of years since 2010. What is the percent change in the population of the country each year?

Answers

The percentage searched is 4.2%

If you multiply some value to 1.042 this means that you are adding 4.2 %

See in the expression of formula that appears just the cited figure: "1.042"

what is the total pay for 12 hours of work at a base rate of p per hour plus a temporary raise of $2.50 per hour?

Answers

Answer:

$ 12(p+2.5)

Step-by-step explanation:

Given: base rate of pay is p per hours plus a temporary raise of $2.50 per hour.

To Find: total pay for 12 hours of work

Solution:

Total hours for which work is done = $\$$ $12$ $\text{hours}$

base rate of payment = $\text{p}$ per $\text{hours}$

temporary raise = $\$$ $\text{2.50 per hour}$

Total rate of payment = $\$ (p+2.5)$

Total pay = $\text{total time work done}*\text{total pay rate}$

putting values

= $\$$ $12(\text{p+2.5})$

therefore,

Total pay for 12 hours of work is $\$$ $12(\text{p+2.5})$

12(p+2.5)

Since he makes p + 2.5 per hour, and he is working for 12 hours, the above is how you would express it as a formula.

4. Solve the quadratic by factoring, isolating x^2, or using the quadratic formula:a. 2x^2 – 7x = 4

b. 81x^4 – 1

c. 2x^2 – 32 = 0

d. X^2 – 7x + 12

Answers

Hello,

A:
2x²-7x-4=0
==>2x²-8x+x-4=0
==>2x(x-4)+1(x-4)=0
==>(x-4)(2x+1)=0
==>(x=4) or (x=-1/2)

B: where is the sign "=" !!!!!!!!!!!!!!!!!!

81x^-1=(9x²+1)(3x+1)(3x-1) I can not go any further.

C)
2x²-32=0
==>x²-16=0
==>(x+4)(x-4)0
==>x=-4 or x=4

D:
where is the sign "="!!!!!!!!!!!!!!!!!!!!!!!!

x^2-7x+12=(x-4)(x-3) but I can not go ant further....

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