Mathematics High School

The value of the investment is expected to grow by 3% per year.

How long will it take to double?

A. About 4 years
B. About 6 years
C. About 12 years
D. About 24 years

Answers

Answer 1
3 times 24 is 48% therefore its D.
Answer 2

Answer:

D. About 24 years

Step-by-step explanation:

Compounding is the means the future value of an amount saved today while discounting means the present value of a future amount.

In other words, we discount to know the present value of $1 in the future while we compound to know the future worth of $1 saved today.

Let the value of the investment be x. if it is expected to double in n years then using the compound interest formula

fv = pv(1 + r)^n

where fv and pv are the future and present values respectively and n is the time, r is the growth rate

2x = x(1 + 0.03)^n

2 = (1.03)^n

log 2 = log (1.03)^n

= n log 1.03

n = log 2/ log 1.03

n = 23.44

This is approximately 24 years hence option D is right

Related Questions

Simplify -|-5 + 2|.

I'm not good with Math, can someone please help me how to Simplify, I have no clue to solving these questions that ask me to simplify, On my Online Schooling I wish to get better. Thanks for the time :)

Answers

Hello,

The answer will be "-5+2".

Reason:

I These lines turn negative numbers into positive:

Therefore the answer will be -5+2 (since how the first - sign was outside of the I).

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Find the perimeter of the figure. Round your answer to the nearest tenth.
a) 41 Units b) 34.2 Units c) 23 Units d) 11.2 Units

Answers

counting the straight sides gives you 23 units and using the distance formula on the bottom side gives you about 11.18 units. 23+11.18=34.18 and round that to the nearest tenth to get the answer of 34.2 units.

Please help does anyone know the answer Giving 20pts I need ASAP

Answers

The answer is x = 180 - (67 + 52).

That is because x, 67, and 52 make a straight line, hence, they will equal to 180.

So if you subtract the sum of 67 and 52 from 180 you'll get the value of x.

helpppppppppppppppppppppppppppppppppppppppppppp

Answers

x ≥ -32

they want 20 characters n stuff but if you want me to show work or whatever i can
x/4 ≥ -8
----------------
Multiply each side by 4
4 * x/4 ≥ -8 * 4
x ≥ -32

At the snack bar, a hot dog costs $1.50 and a slice of pizza costs $2. What percent of the cost of a slice of pizza is a cost of a hot dog? Which equation can be written to represent this scenario?

A. 1.5p=2
B. 1.5=2p
C. 2(1.5)=p
D. 2/1.5=p

How would you determine this answer?

Answers

That percent is 133
There are several answers for this
A and D
its 2/1.5=p because u would need to know how much more the pizza is than the hot dog and that answer would be .50 

Kite ABCD has a longer diagonal AC with a length of 14 in. and a shorter diagonal BD with a length of 8 in. The diagonals intersect at point E. What is the length of BE?
4 in
7 in
8 in
14 in

Answers

Hello,
The longer diagonal is an axis of symmetry of the  Kite.
So E is the middle of BD and BE=8/2=4

Answer A: 4in.

HELP please :)

A patient requires an IV of 0.9% saline solution, also known as normal saline solution. How much distilled water, to the nearest milliliter, must be added to 100 milliliters of a 6 % saline solution to produce normal saline?,

Answers

x is the amount of distilled water that must be added (in milliliters)
2/(100+x)=9/(1000)
2000=900+9x
1100=9x
122.22=x
x= 122
The answer is 122 milliliters of distilled water must be added

describe the graph of y={1/(2x-10)}-3 compared to the graph of y=1/x

Answers

[tex]\bf ~~~~~~~~~~~~\textit{function transformations} \\\\\\ % templates f(x)= A( Bx+ C)+ D \\\\ ~~~~y= A( Bx+ C)+ D \\\\ f(x)= A\sqrt{ Bx+ C}+ D \\\\ f(x)= A(\mathbb{R})^{ Bx+ C}+ D \\\\ f(x)= A sin\left( B x+ C \right)+ D \\\\ --------------------[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\ \bullet \textit{ flips it upside-down if } A\textit{ is negative}\\ ~~~~~~\textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if } B\textit{ is negative}[/tex]

[tex]\bf ~~~~~~\textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{ C}{ B}\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\ ~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\ \bullet \textit{ vertical shift by } D\\ ~~~~~~if\ D\textit{ is negative, downwards}\\\\ ~~~~~~if\ D\textit{ is positive, upwards}\\\\ \bullet \textit{ period of }\frac{2\pi }{ B}[/tex]

with that template in mind, let's check these two

[tex]\bf \stackrel{parent}{y=\cfrac{1}{x}}\qquad \qquad\qquad \qquad \stackrel{transformed}{y=\cfrac{1}{\stackrel{B}{2}x\stackrel{C}{-10}}\stackrel{D}{-3}}\\\\ -------------------------------\\\\ B=2\qquad \textit{shrinks horizontally by }\frac{1}{2} \\\\\\ C=-10\qquad \cfrac{C}{B}=\cfrac{-10}{2}\implies -5\qquad \textit{horizontally right-shifted by }5 \\\\\\ D=-3\qquad \textit{vertically down-shifted by }3[/tex]

What’s the correct answer

Answers

140 because each week it goes up by 14 so 14 times 10 weeks is 140
Equation:
[tex]total = 11 + 3x[/tex]
For 10 weeks:
[tex]14 + 17 + 20 + 23 + 26 + 29 + 32 + 35 + 38 + 41 = 275[/tex]
Total:
Andrew will have earned $275 after 10 weeks

(12 + 5) + 32 × (10 − 5) =

Answers

Answer:

177 hope this helps 
[tex](12 + 5) + 32 \times (10 - 5) = [/tex]
[tex]17 + 32 \times 5 = [/tex]
[tex]17 + 160 = [/tex]
[tex]177[/tex]
So the answer is 177.

can someone help me? im not sure if my answers are right

Answers

Your answers are both correct

Divide by splitting up the numerator. 21x^3y^4-7x^2y^3+14x^2y^2-xy over 7x^2y^2

Answers

[tex](21x^3y^4-7x^2y^3+14x^2y^2-xy) \div (7x^2y^2)[/tex]

[tex]\dfrac{21x^3y^4}{7x^2y^2} - \dfrac{7x^2y^3}{7x^2y^2} - \dfrac{14x^2y^2}{7x^2y^2} - \dfrac{xy}{7x^2y^2}[/tex]

[tex]3xy^2 - y - 2 - \dfrac{1}{7xy} [/tex]

What is the slope of the line that passes through (3, -4) and (-2, 5). A)-5/9 B)-9/5 C)9/5 D)5/9

Answers

m = (y2 - y1) / (x2 - x1)
Call (3,-4) one point
Call (-2,5) the second point.

m = (5- -4) / (-2 - 3)
m = 9/-5 = - 9 / 5

B<<<< answer

When the sum of 7 and three times a positive number is subtracted from the square of the​ number, 0 results. find the number?

Answers

The answer is...
x^2 - (7 + 2x) = 0
x^2 - 2x - 7 = 0

The required number is 10.

Given that,
When the sum of 7 and three times a positive number is subtracted from the square of the​ number, 0 results. That number is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

Let the number be x,
The sum of 7 and three times a positive number is subtracted from the square of the​ number 0.
x²-x(3 + 7) = 0
x² = x(10)
x = 10

Thus, the required number is 10.

Learn more about arithmetic here:

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A store carries two different sizes of a certain brand of potato chips. bag 1 contains 8 ounces and costs $3.49. bag 2 contains 12 ounces, and costs $4.59. which bag has the lowest price per volume

Answers

The price per volume will be given by the following equation:
 P = (cost) / (volume of the bag)
 For bag 1: 
 P1 = (cost) / (volume of the bag)
 P1 = (3.49) / (8) = 0.43625 $
 For bag 2: 
 P2 = (4.59) / (12) = 0.3825 $
 We know that
 P1> P2
 Answer:
 bag 2 has the lowest price per volume 0.3825 $

Bag 2, with a price of $0.3825 per ounce, has a lower price per volume compared to Bag 1, which has a price of $0.43625 per ounce.

To determine which bag of potato chips has the lowest price per volume, we need to calculate the price per ounce for each bag.

For Bag 1, it contains 8 ounces and costs $3.49, so the price per ounce is $3.49 / 8 ounces = $0.43625 per ounce.For Bag 2, it contains 12 ounces and costs $4.59, so the price per ounce is $4.59 / 12 ounces = $0.3825 per ounce.

Comparing these values, we see that Bag 2 has the lower price per ounce at $0.3825 per ounce, making it the more economical choice per unit of volume.

The mass of Venus is
4.87 x 10^24 kilograms, and the mass of Jupiter is
1,898 x 10^24 kilograms.

The mass of Jupiter is about _____ times the mass of Venus.

Answers

Mass Jupiter / mass of venus = 1898 * 10^24 / 4.87 * 10^24 = 1898 / 4.87 = 390 times heavier. I hope that comma is correct.

Answer:

The mass of Jupiter is about 389.7331 times the mass of Venus.

Step-by-step explanation:

The question is asking for how much the two masses vary from one another. Since the mass of Jupiter is greater than that of Venus, what value is to be multiplied by the mass of Venus that would give the mass of Jupiter?

Thus, to determine this, we divide the mass of Jupiter by the mass of Venus;

     = [tex]\frac{1898*10^{24} }{4.87*10^{24} }[/tex]

    =  [tex]\frac{1898}{4.87}[/tex]

    = 389.7331

 Therefore, the mass of Jupiter is about 389.7331 times the mass of Venus.

A coach bought some shirts and 5 pairs of shorts. each shirt cost $12 and each pair of shorts cost $10. let t represent the number of shirts. write an expression that can be used to find the total cost of the shirts and shorts. answer

Answers

t=number of shirts
T=total cost (shirts + shorts)

12t+5(10)=T
12t+50=T

Answer: 12t  + 50=T
t=number of shirts
T=total cost. 

What is 4.738rounded to the nearest thousandth? (Points : 1) 4.73 4.74 4.738 4.739

Answers

4.738 rounded to the nearest thousandth remains 4.738, as it is already at the required decimal precision.

To round to the nearest thousandth, you look at the digit in the thousandth place, which in this case is an 8. You do not need to alter the number since it is already at the thousandth decimal place. Therefore, 4.738 rounded to the nearest thousandth is simply 4.738.

Carlos ran 3/8 of the race course. Lori ran 3/6 of the same race. Who ran further? Explain.

Answers

since it has a smaller denominator, the numerators have the same look as the smaller numerator 

In a pond, lotus flower multiply its self after every 4 days. One lotus multiplies into two after four days, into 4 after 8 days, into 8 after 16 days and so on. If you see one lotus flower in a pond today, how many flowers will be there in the pond after 32 days.

Answers

The answer is 32 flowers. You can create the following table to see the pattern more clearly:

# of flower: 1, 2, 4, 8, 16
# of days: 4, 8, 16, 32

You are doubling the number of flowers to find the number of days. Or half the number of days is the number of flowers. So, in 32 days there are 16 flowers.

Use the quadratic formula to solve x^2+8x+9=0

What are the solutions to the equation?

Round irrational solutions to the nearest tenth.

x=−1 and x=−8

x = 1 and x=−9

x=−6.6 and x=−1.4

x=−1.2 and x=−6.8


Please explain the answer!

Answers

none of your options, not via complete the square nor quadratic the formula.

Solve for x over the real numbers:
x^2 + 8 x + 9 = 0

x = (-8 ± sqrt(8^2 - 4×9))/2 = (-8 ± sqrt(64 - 36))/2 = (-8 ± sqrt(28))/2:
x = (-8 + sqrt(28))/2 or x = (-8 - sqrt(28))/2

sqrt(28) = sqrt(4×7) = sqrt(2^2×7) = 2sqrt(7):
x = (2 sqrt(7) - 8)/2 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 + 2 sqrt(7) giving 2 (sqrt(7) - 4):
x = 1/22 (sqrt(7) - 4) or x = (-2 sqrt(7) - 8)/2

(2 (sqrt(7) - 4))/2 = sqrt(7) - 4:
x = sqrt(7) - 4 or x = (-2 sqrt(7) - 8)/2

Factor 2 from -8 - 2 sqrt(7) giving 2 (-sqrt(7) - 4):
x = sqrt(7) - 4 or x = 1/22 (-sqrt(7) - 4)

(2 (-sqrt(7) - 4))/2 = -sqrt(7) - 4:

Answer: x = sqrt(7) - 4 or x = -sqrt(7) - 4_____________________________________________________

Solve for x:
x^2 + 8 x + 9 = 0

Subtract 9 from both sides:
x^2 + 8 x = -9

Add 16 to both sides:
x^2 + 8 x + 16 = 7

Write the left hand side as a square:
(x + 4)^2 = 7

Take the square root of both sides:
x + 4 = sqrt(7) or x + 4 = -sqrt(7)

Subtract 4 from both sides:
x = sqrt(7) - 4 or x + 4 = -sqrt(7)

Subtract 4 from both sides:
Answer:  x = sqrt(7) - 4 or x = -4 - sqrt(7)

The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance betweeb city A and city C is 51 miles.

What type of trianglr is created by the three cities?

A. An acute triangle, beacuse 22^2+54^2>51^2
B. An acute triangle, beacuse 22^2+51^2>54^2
C. An obtuse triangle, beacuse 22^2+54^2>51^2
D. An obtuse triangle, beacuse 22^2+51^2>54^2,

Answers

The answer is B. It is an acute triangle because of 22^2 + 51^2 > 54^2. To identify the type of triangle referred to the problem, we use the Pythagorean Theorem which involves squaring the lengths of all sides of the triangle. If the hypotenuse’s square is less than the two smallest sides' squares added together, than it is an acute triangle. However, if the hypotenuse’s square is larger, then it is an obtuse triangle.

54 is the hypotenuse since it is the longest side.

Following the Pythagorean Theorem, a^2 + b^2 = c^2:

54^2=2916

51^2=2601

22^2=484

It becomes 2601+484 = 2916.

When the two shorter sides are added, the sum is greater than the square of the hypotenuse which is 2916. Thus, the formed triangle is acute. 

Answer:

B

Step-by-step explanation:

What is the measure of angle 1?

Answers

The sum of the two remote angles = the non connecting exterior angle. In plain simple English it means that
80o + 60o = <1
140 = <1 <<<<<<< ==== answer.

How to solve this???

Answers

11. Opposite angles of a cyclic quadrilateral are supplementary. You have two angles in the ratio of 2:4 that add to 180°. The larger angle will be 4/(2+4) = 4/6 of 180°, so is 120°.

What is the solution to the equation 5x = 40?

7
8
45
200

Answers

The answer to that is: X = 8.

40 divided by 5 = 8.

To check we can do 5 x 8 = 40.

X = 8
Well you want to isolate x so in order to undo multiplication, you divide the 5 on both side that way it cancels on the side with the x. 
                                                    
                                                   5x/5=40/5
 
next, simply dived 40 by 5 which is 8, x=8

A railroad crew can lay 7 miles of track each day. they need to lay 189 miles of track. 17 day how many miles. How many day to lay all the track

Answers

27 days because if they need 189 miles and do 7 miles a day you just divide 189 and 7 so the answer is 27 days.
Final answer:

Given that a crew can lay 7 miles of railroad track a day, it would take them a total of 27 days to lay 189 miles of railroad track.

Explanation:

The subject of this question is the calculation of the number of days it would take for a railroad crew to lay a specified number of miles of track. Given that the crew can lay 7 miles of track each day, and they need to lay a total of 189 miles of track.

To determine the total number of days required, we would divide the total miles by the miles the crew can lay each day.

So, 189 miles ÷ 7 miles/day = 27 days. Therefore, it would take the railroad crew a total of 27 days to lay all the track.

Learn more about Calculating Time here:

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You are finding the product of two square roots. Each radicand is the same variable raised to an odd power. Explain why you would want to multiply the radicands together first and then simplify the product.

Answers

Multiplying the two same variables will combine them into one variable of an even power. (odd number + odd number = even number)
Then the square root (even root/radicand) can be taken eliminating the radicand.

Here's an example to show you what I mean, so you can put it in your own words if you want.

[tex] \sqrt{ x^{3} } * \sqrt{ x^{7} } = \sqrt{ x^{10} } = x^{5} [/tex]

The equation x2+y2−4x+2y=b describes a circle. Complete the square to find the center of the circle. The center of the circle is ( , ) The radius of the circle is 7 units. What is the value of b in the equation? b=

Answers

look to the coefficients on the middle terms (-4x and 2y)

divide each coefficient by 2 and square to determine what to add.

(-4/2)^2 = 4 needs to be added to complete the square for x.

(2/2)^2 = 1 needs to be added to complete the square for y.

add to both sides of the equal sign to keep the equation balanced.

x^2 - 4x + 4 + y^2 + 2y + 1 = b + 4 + 1
factor
(x - 2)^2 + (y + 1)^2 = b + 5

The general equation for a circle is:
(x - h)^2 + (y - k)^2 = r^2
with center (h,k) and radius r

compare this to the equation. you see that the center is: (2, -1)

we can write
r^2 = b + 5
given that r = 7
49 = b + 5
49 - 5 = b
44 = b

PLEASE HELP ASSSAAAAPPPP

Answers

All you need to do is plug 2 in for x
[tex]f(x) = 5^x \\ f(2) = 5^2 = 25[/tex]
The answer is 25 dsfsdffasfa

Can someone help me with this word problem?

Answers

So for question 7 part A the picture will be a triangle similar to the the one that shows the umbrella's height. But the base will be 40 and the height will be 130.

for part B the angle of depression can be found using the trigonometric function of tangent.

tan x = 40/130
tan^-1 (tan x) = tan^-1 (40/30)
x = 17 degrees

I hope i am right
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