You have $1000 invested for 3 years and get 10% interest.

Answers

Answer 1

Answer:

$1331 compounded annually after three years

Step-by-step explanation:

Given the following question:

1000 dollars invested (princpal)....
You invest that 1000 dollars for three years (time)....

Assuming it's compounded annually we need to substitute the values into the formula to calculate compound interest.

[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
[tex]P=1000[/tex]
[tex]\frac{r}{n} =\frac{10}{100} =10\div100=0.1[/tex]
[tex]nt=(1)(3)[/tex]
[tex]A=1000(1+0.1)^{(1)(3)}[/tex]
[tex]1\times3=3[/tex]
[tex]A=1000(1+0.1)^{3}[/tex]
[tex]1+0.1=1.1[/tex]
[tex]1.1^3=1.1\times1.1\times1.1=1.331[/tex]
[tex]A=1000\times1.331[/tex]
[tex]1000\times1.331=1331[/tex]
[tex]=1331[/tex]

Which means after a intital investment of 1000 dollars you will have "1331 dollars" after three years compounded annually.

Hope this helps.


Related Questions

Suppose a charity received a donation of $22.2 million. If this represents 34% of the charity’s donated funds, what is the total amount of its donated funds?

Answers

Answer:

ok so lets make this into a algrebra equation

22.2(mil)=0.34x

divide by 0.34

65294117.6471=x

x=65294118

Hope This Helps!!!

How many solutions are there for the quadratic equation?
f(x)=5x^2+3x+2

Answers

Answer:

2

Step-by-step explanation:

[tex]5x^2 +3x +2 = 0\\\\\text{Apply the quadratic formula,}~ x=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\\text{In this case,}~a= 5, ~ b = 3~ \text{and}~ c = 2\\\\ \\x=\dfrac{-3\pm \sqrt{3^2 -4\cdot 5 \cdot 2}}{2\cdot 5}\\\\~~~=\dfrac{-3 \pm \sqrt{9-40}}{10}\\\\~~~=\dfrac{-3 \pm \sqrt{-31}}{10}\\\\~~~=\dfrac{-3 \pm i\sqrt{31}}{10}\\\\\text{So, there are 2 solutions,}~ x=\dfrac{-3 + i\sqrt{31}}{10}~ \text{and} ~x=\dfrac{-3 -i\sqrt{31}}{10}[/tex]

Another  way to find the number of solutions is by looking at the highest exponent(Degree), which indicates the number of solutions.  

[tex]\\ \rm\rightarrowtail 5x^2+3x+2=0[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-3\pm \sqrt{9-40}}{10}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-3\pm\sqrt{-31}}{10}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{-3\pm\sqrt{31}i}{10}[/tex]

a 21ft ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 19ft from the base of the building. how high up the wall does the ladder reach

Answers

Answer:

According to the graph:

H^2 + 10^2 = 21^2

Solve as:

H = 18.19 feet

So the height is 18.19 feet

Electric guitar kits originally cost $d$ dollars online. You buy the kits on sale for $50\%$ of the original price, plus a shipping fee of $\$4.50$ per kit. After painting and assembly, you sell each guitar online for $\left(1.5d+4.5\right)$ dollars. Find your profit on each guitar sold.

Answers

let's keep in mind that Profit = Revenue - Costs.

so each guitar costs originally "d" dollars online.

you buy the kits at half price, 50% of the original price, well, the original price is "d", half "d" is just 0.5d, and there's a shipping charge of $4.50.  So the Cost to get one kit alone for you is 0.5d + 4.50.

After some work, you resell the kits online for 1.5d + 4.5, so since that's the selling price that is your Revenue for one kit.

[tex]\stackrel{\textit{\Large Profit}}{\stackrel{Revenue}{(1.5d~~ + ~~4.50)}~~ - ~~\stackrel{Costs}{(0.5d~~ + ~~4.50)}}\implies 1.5d+4.5-0.5d-4.5 \\\\\\ 1.5d-0.5d+4.5-4.5\implies 1d\implies d[/tex]


[tex] { \alpha }^{2} \beta + \alpha { \beta }^{2} [/tex]
Please solve this ​

Answers

If a and B are the zoros of the quadratic polynomial p(x)=4x^2 - 5x-1, find value of a^2B + aB^2 .

Solution

SINCE a and B are the roots of the polynomial: 4x^2-5x-1

Sum of the roots a+B =5/4

Product of the roots aB=-1/4

HENCE

a^2B+aB^2=aB(a+B)=5/4(-1/4)=-5/16

Concept:Relationship Between Zeroes and coefficients of a Polynomial

Which statement describes the behavior of the function f (x) = startfraction 2 x over 1 minus x squared endfraction?

Answers

The statement that describes the behavior of the function f(x) = 2x/(1-x²) is given by: Option B: The graph approaches 0 as x approaches infinity

How to find the value of the function as x approaches infinity (+ve or -ve)?

If limits exist, we can take limits of the function, where x tends to -∞ or ∞, and that limiting value will be the value the function will approach.

For the considered case, the function is:

[tex]f(x) = \dfrac{2x}{1-x^2}[/tex]

The missing options are:

The graph approaches –2 as x approaches infinity.The graph approaches 0 as x approaches infinity.The graph approaches 1 as x approaches infinity.The graph approaches 2 as x approaches infinity.

So we need to find the limit of the function as x approaches infinity.

[tex]lim_{x\rightarrow \infty}f(x) = lim_{x\rightarrow \infty}\dfrac{2x}{1-x^2} = lim_{x\rightarrow \infty}\dfrac{2x/x^2}{1/x^2 - 1} = lim_{x\rightarrow \infty}\dfrac{2/x}{1/x^2 - 1}\\\\lim_{x\rightarrow \infty}f(x) = \dfrac{lim_{x\rightarrow \infty}(2/x^2)}{lim_{x\rightarrow \infty}(1/x^2 - 1)} = \dfrac{0}{0-1} = \dfrac{0}{-1} = 0[/tex]

Since the value of the function approaches 0 as x approaches infinity, so as its graph will do.

Thus, the statement that describes the behavior of the function f(x) = 2x/(1-x²) is given by: Option B: The graph approaches 0 as x approaches infinity

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Make Sense and Persevere Ben walked from
the restaurant to the bus stop. Then, he took
the bus to the stadium. If he took the shortest
route, how many blocks did Ben travel? Note
that Ben can only travel along the grid lines.

Answers

Step-by-step explanation:

for the trip restaurant to the bus stop he had to go 2 blocks down and 3 blocks to the left - in total 5 blocks.

for the trip from the bus stop to the stadium he had to go 3 blocks to the left and then 8 blocks up. in total 11 blocks.

so, the whole trip took 5 + 11 = 16 blocks.

Help please thank you

Answers

Answer:

[tex] = 2 \times 4 = 8 \\ = 5 \times 5 = 25 \ \\ \frac{1}{2} \times 5 \times 3 = 7.5 \\ 7.5 + 8 + 2.5 = 18[/tex]

310, 304, 298, ...
Find the 47th term.

Answers

Answer:

The answer is 34

Step-by-step explanation:

Given;a₁ = 310a₂ = 304a₃ = 298n = 47To Find;a₄₇ = ?Formula;aₙ = a + (n – 1) × d

Now,

Common Difference (d)

d = a₂ – a₁ = 304 – 310 = -6

d = a₃ – a₂ = 298 – 304 = -6

Here, common difference is same everywhere

So,

aₙ = a + (n – 1) × d

a₄₇ = 310 + (47 – 1) × (-6)

a₄₇ = 310 + 46 × (-6)

a₄₇ = 310 – 276

a₄₇ = 34

Thus, The 47th term of this sequence is 34.

What is the volume of this right prism? 1200 in³ 1800 in³ 2040 in³ 3600 in³ Right triangular prism. The height of the prism is labeled as 15 in. The base of the prism is a triangle with the base labeled as 30 in., the height labeled as 8 in., and the other 2 sides of the triangle labeled as 17 in.

Please help asap!!!

Answers

Volume of right prism is 1800 in³, So option 'B' is the correct answer to the following question.

Volume of right prism

What information do we have?

Height of the prism is labeled = 15 in.

Base of the prism is a triangle with the base = 30 in

Height labeled = 8 in

Volume of right prism = Area of base triangle × Height

Volume of right prism = (1/2)(b)(h) × Height

Volume of right prism = (1/2)(30)(8) × 15

Volume of right prism = (30)(4) × 15

Volume of right prism = 120 × 15

Volume of right prism = 1800 in³

Find more information about 'Prism'.

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Answer:

The answer is B. 1800 [tex]in^{3}[/tex]

Step-by-step explanation:

I took the test

which trig ratio
determine which trig ratio to use to solve for x

Answers

Answer:

Step-by-step explanation:

1.cos

2.sin

3.cos

4.tan

5.sin

6.tan

Step-by-step explanation:

remember the basic trigonometry setup ?

the norm circle (radius = 1) with a horizontal and a vertical line through the center of the circle.

and then there is an angle at the center indicated by the horizontal line and an inclined (by that angle) radius line connecting the center and the circle arc.

this inclined radius line is then the baseline (Hypotenuse) of a right-angled triangle, and the legs of that triangle are sine and cosine of the angle at the center (sine is the vertical leg, cosine is the vertical leg).

in essence (at least it works for me), when given such right-angled triangle problems, I always try to rotate and/or flip this triangle until it looks like the described situation above.

the only other thing to remember is that for triangles inside circles with a different radius than 1, everything is multiplied by the actual radius (it really happens also for the norm circle, but multiplying by 1 does not really change anything, right ?).

so, now for the given problems :

1)

x is the radius of the circle.

we can make 68° the defining angle of that trigonometric situation. so, the top right vertex would be the center of the circle with radius x.

then

30 = cos(68)×x

x = 30/cos(68)

= 80.08401488...

2)

60 is the radius of the circle.

x is the defining angle.

then

15 = sin(x)×60

sin(x) = 15/60 = 1/4

x = 14.47751219...°

3)

x is the radius of the circle.

22° is the defining angle.

then

14 = cos(22)×x

x = 14/cos(22)

= 15.0994864...

4)

the unnamed side is the radius of the circle. let's call it "s".

54° is the defining angle.

then

47 = cos(54)×s

x = sin(54)×s

x/47 = sin(54)×s / (cos(54)×s) = sin(54)/cos(54) = tan(54)

x = 47×tan(54) or 47×sin(54)/cos(54)

= 64.68995026...

5)

14 is the radius of the circle.

41° is the defining angle.

then

x = sin(41)×14

= 9.184826406...

6)

the unnamed side is the radius of the circle. let's call it "s".

x is the defining angle.

then

57 = cos(x)×s

9 = sin(x)×s

9/57 = sin(x)×s / (cos(x)×s) = sin(x)/cos(x) = tan(x)

x = 8.972626615...°

put the equation below into vertex form.

y=(x+9)(x+25)

Answers

Answer:

Step-by-step explanation:

2640 yards= ________ miles
complete each conversion

Answers

So, 2640 yards = 2640 × 0.00056818181818182 = 1 12 or 1.5 miles. Conversion of 2640 yards to other length, height & distance units. 2640 yards = 2.41 kilometers.

After converting yards to miles:

2640 yards =  1.5 miles

Given,

2640 yards= ________ miles

Now,

To convert to yard to miles the conversion factor is 0.000568182.

So,

1 yard ⇒ 0.000568182 miles

Multiply 2640 on both sides,

2640 yards ⇒ 1.5 miles.

Therefore 2640 yards is equivalent to 1.5 miles.

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Christine went on a passenger train that traveled 80 miles in one hour. How many miles will it travel in six hours?

Answers

Answer:

480

Step-by-step explanation:

[tex]80*6[/tex] = 480

Answer:

She will travel 480 miles in 6 hours

Step-by-step explanation:

All you need to do is Multiply 80 by 6 to get an answer of 480.

Hope that helps!

A puppy weighs 4 pounds. How many ounces does the puppy weigh?

Answers

Answer:

64 ounces

Step-by-step explanation:

Since 1 lb = 16 oz, just do 4 × 16 = 64

If puppy weighs 4 pounds then the weigh in ounces is 64 ounces.

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

There are 16 ounces in a pound.

1 pound= 16 ounces.

Given that puppy weighs 4 pounds.

We have to find the wight in ounces.

To convert pounds to ounces, we need to multiply the weight in pounds by 16.

The puppy weighs 4 pounds x 16 ounces/pound

= 64 ounces

Hence, if puppy weighs 4 pounds then the weigh in ounces is 64 ounces.

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Find the perimeter.
Write your answer as a fraction or as a whole or mixed numbe
5 1 cm
10
5 cm
10
Bloc
5
cm
10
5 cm
10

Answers

Answer:

20 2/5 cm

Step-by-step explanation:

4 ( 5 1/10)

4 × 51/10

2×51/5

0.4x51

=20 2/5

There are 777 students in a class: 222 boys and 555 girls. If the teacher picks a group of 333 at random, what is the probability that everyone in the group is a girl?

Answers

The probability is 0.1429.

The probability that the first person chosen is a boy is 5/7. The probability that the second is a boy is 4/6; the third, 3/5; and the fourth, 2/4. Both the numerator and denominator decrease every time, because you lose a boy to choose from and you lose a student to choose from as well. This gives us:

5/7(4/6)(3/5)(2/4) = 120/840 = 0.1429.

The probability that everyone in the group is a girl is 2/7.

What is probability?

Probability sampling is defined as a sampling technique in which the researcher chooses samples from a larger population using a method based on the theory of probability.

Total number of students in a class = 7

Number of boys students = 2

Number of girls students = 5

The probability that everyone in the group is a girl is;

[tex]\rm Probability =\dfrac{Total \ number \ of \ girls}{Total \ number \ of \ boys}\\\\Probability=\dfrac{2}{7}[/tex]

Hence, the probability that everyone in the group is a girl is 2/7.

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14x - 2x + 3
12x + 3
3 (4x + 1)
4x+ 1
1
-8
3(5x + 9)
3(5x + 9)
= 3(5x + 9)
= 5x + 9
= x+9
=x

Answers

Answer:

-1/4

Step-by-step explanation:

14x - 2x + 3 = 0
12x + 3 = 0
12x = -3
12x/12 = -3/12
x = -1/4

14x - 2x + 3 = 0

To solve for x move the constant to the other side…
14x - 2x = -3

Since 14x - 2x are the same we can subtract them…
12x = -3

Now we divide 12 by both sides, which looks like this…
12x/12 = -3/13
x = -3/12

Simplify to get…
x = -1/4 [Answer]

On average, Evie’s chicken lays 3 eggs every 15 days. At this rate, how many days will it take Evie’s chicken to lay 45 eggs?

Answers

Answer:

43 ffhfhfhfhfhfhchchchchchc

Answer:

It will take 225 days for Evie's chicken to lay 45 eggs

Step-by-step explanation:

What is the constant term in the expression 8xy − 9x2 y − 5x 6

Answers

Answer: 6

Step-by-step explanation:

I assume you meant to write 8xy − 9x2y − 5x + 6. The constant term in an expression is defined as a number by itself that contains no variables. Therefore, the answer is 6.

6
A constant term is a number that doesn’t have a variable. The only number in that equation that doesn’t have one is 6, so that’s it.

( Pls help ASAP) Will give 20 points if you answer 2 questions))

Answers

Answer:

1. -3          2. y=-1

Step-by-step explanation:

PLEASE HELP! DUE TODAY! TY!
Use the diagram to find the value of x and the measure of Arc MR. (MR) =(3x+19)° and (LK) =189°
Work:

x =

(MR) =

Answers

Answer: x=12, (MR)=55

Step-by-step explanation:

help me plssss ‼️‼️‼️

Answers

teddy bears = 80

hope it helps..!!!

Write the equation of the line that passes through the points (-9,-9)(−9,−9) and (6,-7)(6,−7). Please help me

Answers

Answer:

y = (2/15) x -(117/15)

Step-by-step explanation:

To write the equation we should know the slope m and the y-intercept b .

m= (y2-y1)/(x2-x1)

For points (x1 = -9, y1 = -9) and (x2 = 6, y2 = -7)

m = (-7 - - 9)/(6 - - 9) = (-7 + 9)/(6 +9) = 2 / 15

The general equation of a line is

y= mx + b

Our equation is

y = (2/15) x +b

To find b, substitute one of the two points, we know are on the line, in our equation. For example, we can substitute point (-9,-9)

-9 = (2/15) (-9) +b , multiply -9 by 2/15

-9 = - (18/15) +b, add -18/15 on both sides

-9 + (18/15) = b, find common denominator and add

[(-9 ·15) +18]/15 = b , simplify

-117/15 = b

So our equation is:

y = (2/15) x -(117/15)

Rob goes to the gym 3 times a week work out how many times he goes to the gym in
a• four weeks
b• one year

Answers

Answer:

a=12 times

b=156 times

Step-by-step explanation:

4 weeks=month

4*3=12

52 weeks=1 year

52*3=156

Therefore he goes 12 times a month, and 156 times a year.

sandra calculated the missing side of one of these three triangles using the pythagrean therom which triangle is it

Answers

Answer:

right angled triangle

Step-by-step explanation:

the only triangle that this formula can be used to find a side is the right angled triangle

PLEASE HELP ill like!!!!!! Its 20 points

Answers

Answer:

1. Degree= 6, trinomial

2. degree= 4, binomial

Step-by-step explanation:

1. The largest exponent is 6 making it the degree and there are three terms because (m^5n^2), (mn^2), (n^6).

2. Since (9a^2bc^2) has the more than 1 exponent, you add them and the  degree is 4. There are two terms because (2a^3b), (9a^2bc^2).

Triangle ABC has side lengths 12, 16, and 20. Do
the side lengths form a Pythagorean triple?
Explain.

Answers

Answer:

no they dont form a Pythagorean triple

Step-by-step explanation:

a2 + b2 = c2

Do we, as a society, rely on technology too much?

Answers

no. the word technology spans every invention ever created. we don't.

Answer:

Yes, We as a society rely too much on technology because it is the new thing that everyone wants or needs. Technology can buy your groceries and food with a single click.

Step-by-step explanation:

In creating a new scale for the mercury thermometer, Anders Celsius initially set the boiling point of water at _____. A. 0° b. 32° c. 100° d. 273°.

Answers

The thermometer is a device that is used to measure the temperature gradient. Anders needs to set the boiling point of water at 100° C.

What is a thermometer?

The thermometer is a device that is used to measure the temperature gradient or the temperature of a body/object.

The boiling point of water is 100°C, therefore, Anders needs to set the boiling point of water at 100° C.

Thus, Anders needs to set the boiling point of water at 100° C.

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