Una parte de 25 000 dlares se invierte al 10% de inters, otra parte al 12 % y el resto al 16%. El ingreso anual total de las tres inversiones es de 3200 dlares. Adems, el ingreso de la inversin al 16% es igual al ingreso de las otras dos inversiones combinadas. Cunto se invirti a cada tasa de inters?

Una parte de 25 000 dólares se invierte al 10% de interés, otra parte al 12 % y el resto al 16%. El ingreso anual total de las tres inversiones es de 3200 dólares. Además, el ingreso de la inversión al 16% es igual al ingreso de las otras dos inversiones combinadas. ¿Cuánto se invirtió a cada tasa de interés?

Answers

Answer 1

Answer:

$5000 at 10%, $10000 at 12% and 10000 at 16%

Step-by-step explanation:

One part of $ 25,000 is invested at 10% interest, another part at 12%, and the rest at 16%. The total annual income from the three investments is $ 3,200. Also, the income from the investment at 16% is equal to the income from the other two investments combined. How much was invested at each interest rate?

==================

Let the parts be x, y and z

As per given we get below system of equations:

x + y + z = 250000.1x + 0.12y + 0.16z = 32000.1x + 0.2y = 0.16z

Substitute 0.1x + 0.2y in the second equation:

0.16z + 0.16z = 32000.32z = 3200z = 3200/0.32z = 10000

Now we have:

x + y + 10000 = 25000 ⇒ x + y = 15000

and

0.1x + 0.12y + 0.16*10000 = 3200 ⇒ 0.1x + 0.12y = 1600

Multiply the second equation and then subtract the first one:

10(0.1x + 0.12y) = 10(1600) ⇒ x + 1.2y = 16000x + 1.2y - (x + y) = 16000 - 150000.2y = 1000y = 10000

Then

x = 15000 - 10000 = 5000

So the parts are:

$5000 at 10%, $10000 at 12% and 10000 at 16%

Related Questions

A square membrane, size 1X1 is placed on the xy-plane. The edges of the membrane are held fixed and the membrane is stretched into a shape modeled by the function f(x,y)=x(x-1)y(y-1). Supposed that the membrane starts to vibrate from rest. Determine the position of each point on the membrane for t>0. For this problem take c= t so that the equation to solve is up 3 (14+Uv) ; 0

Answers

The position of each point on the membrane for t>0 is given by u(x,y,t) = x(x-1)y(y-1) + (14+u) c2t.

The position of each point on the membrane can be determined by solving the equation u xx + u yy = c2u, where u is the displacement of the membrane from its equilibrium position and c is the speed of the wave propagation. Since we are given f(x,y) = x(x-1)y(y-1), we can solve this equation to find u. Differentiating f(x,y) twice with respect to x and y gives us the corresponding derivatives of u. Plugging these derivatives into the equation gives us u xx + u yy = (14+u) c2. Solving this equation yields the displacement of each point on the membrane for t>0. Thus, the position of each point on the membrane for t>0 is given by u(x,y,t) = x(x-1)y(y-1) + (14+u) c2t.

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at a certain bakery, the price of each doughnut is $1.50. let the random variable d represent the number of doughnuts a typical customer purchases each day. the expected value and variance of the probability distribution of d are 2.6 doughnuts and 3.6 (doughnuts)2, respectively. let the random variable p represent the price of the doughnuts that a typical customer purchases each day. which of the following is the standard deviation, in dollars, of the probability distribution of p?

Answers

The standard deviation, in dollars, of the probability distribution of p is √(1.50 × 3.6) dollars.

We are given the following parameters -

Expected value = 2.6

Variance = 3.6

Price per doughnut = $1.50

Now we can write the price for the variance of the distribution as -

Price per doughnut × Variance

Variance = $1.50 × 3.6

The formula for the standard deviation of the distribution D in relation to the variance is given by -

Standard deviation = √variance

Standard deviation = √(1.50 × 3.6)

Therefore, the standard deviation of P in dollars will be √(1.50 × 3.6).

Answers

Answer is

6) a rational decimal can be turned into a fraction, an irrational decimal cannot be turned into a fraction

7) examples and explanations

Rational decimals can become fractions

.50 ( becomes fraction 1/2)
.12 (becomes fraction 12/100)

√25 ( becomes a 5 which is fraction 1/5)

Irrational decimal is a non-terminating, non-repeating decimal

.1234321234 (a non terminating decimal does not become a fraction)

3.14159265359…… (TT pi is non terminating so it cannot become a fraction)

√7 ( becomes 2.6457513110…..non terminating so it is irrational)

X-12=12+12+12+12
What is x if x>12

Answers

Answer:

x=60

Step-by-step explanation:

1. Add all the 12's on the right side together = 48

2. then you add the 12 on the left side to the right side to make it = 60

3. X=60!

HOPE THIS HELPS

Answer:

x = 60

Step-by-step explanation:

12+12+12+12=12*4=48 48+12=60=x

the reason I added another 12 is because it said x minus 12

which of the following is the inverse of F(x) = 2 x + 3?

Answers

Answer:

$\frac{x-3}{2}$

Step-by-step explanation:

Cookies are sold in singly or in packages of 6 or 18. With this packaging how many ways can you buy 36 cookies?

Answers

The ways to pack are

10 singles. One package of 6 and 4 singles. One package of 6 and one packages of 4 Two packages of 4 and 2 singles One package of 4 and 6 singles

This is further explained below.

What is packaging ?

Generally, The science, art, and technology of packaging involves confining or safeguarding goods for distribution, storage, sale, and usage. The process of creating, analyzing, and designing packages is sometimes referred to as packaging.

In conclusion,

10 singles. One package of 6 and 4 singles. One package of 6 and one packages of 4 Two packages of 4 and 2 singles One package of 4 and 6 singles

Answers

Answer:

180 minutes

Step-by-step explanation:

The ratio of the number of Miki's stickers to the number of Ken's
stickers was 8:7. After Miki gave Ken 18 of her stickers, they had
the same number of stickers. How many stickers did they have in all?

Answers

Answer:

Miki had 288 stickers and Ken had 252 stickers.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

Miki has x stickers.

Ken has y stickers.

The ratio of the number of Miki's stickers to the number of Ken's stickers was 8:7.

This means that $\frac{x}{y} = \frac{8}{7}$, that is: $7x = 8y$, or $x = \frac{8y}{7}$

After Miki gave Ken 18 of her stickers, they had the same number of stickers.

This means that:

$x - 18 = y + 18$

$x - y = 36$

Since $x = \frac{8y}{7}$

$\frac{8y}{7} - y = 36$

$\frac{8y}{7} - \frac{7y}{7} = 36$

$\frac{y}{7} = 36$

$y = 36*7 = 252$

And

$x - y = 36$

$x = 36 + y = 36 + 252 = 288$

Miki had 288 stickers and Ken had 252 stickers.

Help for both a and b

Answers

Hi!

Remember that an x-intercept is a point in which the line touches the x-axis (the horizontal line). And, the y-intercept is a point in which the line touches the y-axis (the vertical/up and down line)

-----------------

For A)

The coordinate of the y-intercept is (0,1)

The coordinate of the x-intercept is (3,0)

For B)

The coordinate of the y-intercept is (0,0)

The coordinate of the x-intercept is (0,0) !

*both the x and y axis meet at the origin. So, a line that goes through the origin (0,0) is intersecting with BOTH the x and y-axis.

Hope I helped! Comment if you have any questions or concerns.

-Gabby5792

Combine like terms to determine which expression is equivalent to 12+5t−4+15t+1

Answers

Answer:#

9+20t

Step-by-step explanation:

how to find the sale price of an item that has been discounted 25%

Answers

Answer:

Multiply the normal price of the item by .25 and then subtract that from the normal price.

Step-by-step explanation

$x -(x*.25)$

x is the item

Step-by-step explanation:

100%-25%= discounted price= 75%

You do the discounted price divided by 75 to find 1%

do that times 100 to find the pre-discounted price.

e.g

find the original price of a sweater when it was on sale of 25%. the sale price is £15.00.

£15.00 = 75%

15.00 divided by 75 = 1% =£0.20

£0.20 x 100 = pre-sale price = £20.00

The price of the sweater before the sale is £20.00.

You are welcome xx

a local radio station plays 40 rock-and-roll songs during each 4-hour show. the program director at the station needs to know the total amount of airtime for the 40 songs so that time can also be programmed during the show for news and advertisements. the distribution of the lengths of rock-and-roll songs, in minutes, is roughly symmetric with a mean length of 3.9 minutes and a standard deviation of 1.1 minutes.

Answers

The sampling distribution of the sample mean song lengths for samples of 40 rock-and-roll songs is given as follows:

Approximately normal, with mean of 3.9 minutes and standard deviation of 0.17 minutes.

What is defined by the Central Limit Theorem?

The Central Limit Theorem defines the distribution of the sampling distribution of sample means with size n of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$, with mean and standard error given as follows:

Shape: approximately normal.Mean: $\mu$Standard error: $s = \frac{\sigma}{\sqrt{n}}$

The population mean and standard deviation for this problem are given as follows:

$\mu = 3.9, \sigma = 1.1$

Hence the standard error of the sampling distribution of the sample mean song lengths for samples of 40 rock-and-roll songs is calculated as follows:

s = 1.1/square root of 40 = 0.17 minutes.

Missing Information

The problem asks for the sampling distribution of the sample mean song lengths for samples of 40 rock-and-roll songs.

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Which is the net for this rectangular prism, ASAP, please.

Answers

Answer:

bottom right

Step-by-step explanation:

all of the others are the wrong shape or do not fully make the rectangle it is the bottom right one.

the net on the top right

Ms. Chung drives the same distance to go to work every Monday through Friday. On Saturday she drove g the distance she drives to work. The distance she drove on Saturday was 0.9 miles. Part A: In the first box, enter an equation to represent the distance, d, that Ms. Chung drives to work. Part B: In the second box, enter the distance Ms. Chung drives to work.

Answers

A) The algebraic expression will be 12d + 7 = 91

B) He drives 7 miles per day to work.

For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.

The distance she drove on Saturday was; 0.9 miles.

The number of miles she drives per day:

84 miles/12

= 7 miles per day

Let the number of miles she travels be day = d

12d + 7 = 91 miles

12d + 7 = 91

12d = 91 - 7

12d = 84

d = 84/12

d = 7 miles per day

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ok i need someone to do the work for me bc idk how to do this so please show ur work for these 4 problems I will give brainliest

Answers

Answer:

1. z=4

2. z=2/3

3. x=1

4. x=3

Step-by-step explanation:

I can't explain just trust me I went through algebra class.

Hope this helps

6z+3=8z-5

6z+3-3=8z-5-3

6z-8z=8z-8z-8

-2z/-2=-8/-2

z=4

3-4z=-5+8z

subtract three from both sides

-4z-8z=-8+8z-8z

-12z/-12=-8/-12

z=2/3

3x-5=x-3

add 5 to both sides

3x-x=x-x+2

2x/2=2/2

x=1

3x+14=11+4x

subtract 14 from both sides

3x-4x=-3+4x-4x

-x/-1=-3/-1

x=3

Answer:

1. z=42. z=2/33. x=14. x=3Step-by-step explanation:I can't explain just trust me I went through algebra class.Hope this helps6z+3=8z-56z+3-3=8z-5-36z-8z=8z-8z-8-2z/-2=-8/-2z=43-4z=-5+8zsubtract three from both sides-4z-8z=-8+8z-8z-12z/-12=-8/-12z=2/33x-5=x-3add 5 to both sides3x-x=x-x+22x/2=2/2x=13x+14=11+4xsubtract 14 from both sides3x-4x=-3+4x-4x-x/-1=-3/-1x=3

Step-by-step explanation:

The commissioner of the state police is reported as saying that about 10% of reported auto thefts involve owners whose cars haven't really been stolen. What null and alternative hypotheses would be appropriate in evaluating this statement made by the commissioner?

A. H0: p ≥ 0.10 and H1: p < 0.10
B. H0: p ≤ 0.10 and H1: p > 0.10
C. H0: p > 0.10 and H1: p ≤ 0.10
D. H0: p = 0.10 and H1: p ≠ 0.10

Answers

The appropriate null and alternate hypotheses are (d) H0: p = 0.10 and H1: p ≠ 0.10

How to determine the hypotheses?

From the question, we understand that:

The proportion of reports that have their cars stolen is given as 10%

Null hypothesis is represented with the equality sign.

So, the null hypothesis is H0: p = 0.10

The alternate hypothesis is represented with the unequal sign.

So, the alternate hypothesis is H1: p ≠0.10

Hence, the appropriate hypotheses are (d) H0: p = 0.10 and H1: p ≠ 0.10

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Answers

I don’t see any question?

Answer:

Where's the question?

Write an equation of line that crosses the y- axis at -4 and has a slope 1/2

Answers

Answer:

y=1/2x-4

Step-by-step explanation:

the answer is y=1/2x-4

The ratio of the distances a driver and a 2-iron will drive a
golf ball is 5 to 4. If a golfer averages 240 yards with a 2-
iron, how far should she average with a driver?

Answers

The average distance is 300 yards

How to determine the average distance?

The ratio is given as:

Driver : 2-iron = 5 : 4

When the iron driver is 240 yards, we have:

Driver : 240 = 5 : 4

Express as fraction

Driver/240 = 5/4

Multiply both sides by 240

Driver= 300

Hence, the average distance is 300 yards

Answers

Answer:

Step-by-step explanation:

Green: 9 - 2(-3) = 9 + 6 = 15

Red: -2(-3) + 4 = 6 + 4 = 10

Dark blue: 7x + 5 = 19

7x = 19 - 5 = 14

x = 14/7 = 2

Light blue: 6x + 3 = 21

6x = 21 - 3 = 18

x = 18/6 = 3

Red(Lt blue) - Dk blue + Green = 10(3) - 2 + 15 = 43

Look for factors that will help you determine what type of economy exists in Country A.

Based on the clues in this passage, what type of economy does Country A have?

developed
developing
transitioning
command

Answers

Answer is on quizlet

developing:

a low GDP

an economy based on agriculture

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Write is the simplest form 11 x 9/10

Answers

Answer:

$\displaystyle\frac{99}{10}$

Step-by-step explanation:

Hi there!

$11*\displaystyle\frac{9}{10}$

Multiply:

$\displaystyle\frac{99}{10}$

We cannot simplify it any further.

I hope this helps!

. The population of a city decreased from 25,000 to 24,000. Find the decrease percentage. at to be paid

Answers

Answer:

Step-by-step explanation:

1000 of 25000 is 4%

Game downloads cost $6 each with an additional membership fee of $10.75.
What is the cost of x downloads?

Answers

Answer:16.75x

Step-by-step explanation:

It would be 16.75x because you multiply the total sum of each game by x and 10.75+6=16.75 16.75*x=16.75x

which one of the following is not equal to the rest
a, 2% of 150
b,
$b \: \frac{3}{2} \% \: of400$
c, 5% of 60
d, 6% of 50

Answers

Answer:

B) $\frac{3}{2}$ % of 400

Step-by-step explanation:

A) 2% of 150 = 3

Start by expressing the percent as a decimal by dividing the percent by 100

2% -> 0.02

Next multiply the percent by the number given

0.02 * 150 = 3

B) $\frac{3}{2}$ % of 400 = 6

Start by expressing the percent as a decimal by dividing the percent by 100

3/2% -> 0.015

Next multiply the percent by the number given

0.015 * 400 = 6

C) 5% of 60

Start by expressing the percent as a decimal by dividing the percent by 100

5% -> 0.05

Next multiply the percent by the number given

0.05 * 60 = 3

D) 6% of 50

Start by expressing the percent as a decimal by dividing the percent by 100

6% -> 0.06

Next multiply the percent by the number given

0.06 * 50 = 3

After calculating all of the questions, we can see that the common product is 3, making B) the one that is not equal to the rest.

Truckco manufactures two types of trucks: 1 and 2. Each truck must go through the painting shop and assembly shop. If the painting shop were completely devoted to painting Type 1 trucks, then 800 per day could be painted; if the painting shop were completely devoted to painting Type 2 trucks, then 700 per day could be painted. If the assembly shop were completely devoted to assembling truck 1 engines, then 1,500 per day could be assembled; if the assembly shop were completely devoted to assembling truck 2 engines, then 1,200 per day could be assembled. Each Type 1 truck contributes $300 to profit; each Type 2 truck contributes $500. formulate an LP that will maximize Truckco’s profit.

Answers

Answer:

Step-by-step explanation:

Let y represent type 2 truck and x represent type 1 truck. The painting can be represented by the inequality:

$\frac{x}{800}+\frac{y}{700}\leq 1$ (1)

The assembling can be represented by the inequality:

$\frac{x}{1500}+\frac{y}{1200} \leq 1$ (2)

Also, x, y ≥ 0

The objective function is given as:

max z = 300x + 500y

Plotting 1 and 2 using online geogebra

From the graph, the optimal value is at (0,700). Hence:

max z = 300(0) + 500(700) = $350000

Truckco manufactures two types of trucks: 1 and 2. Each truck must go through the painting shop and assembly

3(n-9)-2(n+4)=6n What is the solution

Answers

Answer:

3(n-9)-2(n+4)=6n

3n-27-2n-8=6n

n-35=6n

-35=5n

n= -7

Step-by-step explanation:

3(n-9)-2(n+4)=6n

open the brackets by multiplication

3n-27-2n-8= 6n

n-35=6n

35=-5n

n=-7

Solve for x leave your answer in simplest radical form

Answers

Answer:

X=11 trust me on my mom

A chain weighs 12 pounds per foot. How many ounces will 4 inches weigh? Round your answer to the nearest tenth as needed.

Answers

Answer:

1 chain = 12 pounds

4 inches = x

4×12=49

= 50

the belt (orbit) of the asteroids is located between . group of answer choices venus and mercury saturn and uranus jupiter and mars earth and mars

Answers

The main belt is not located between these all planets.

What is orbit?

A route that an object in space follows around another is known as an orbit. A satellite is a thing that orbits the earth. An Earth- or moon-like natural satellite is one possibility. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.

The belt of asteroids is located between the orbits of Mars and Jupiter. The asteroids in this region, known as the main belt, are made up of small rocky bodies that orbit the sun in a region between about 2.2 and 3.2 astronomical units (AU) from the sun.

The distance from the sun to the Earth is about 1 AU, and the distance from the sun to Venus is about 0.7 AU, so the main belt is located beyond the orbits of both Venus and Earth.

The orbits of Saturn and Uranus are much farther out from the sun, at distances of about 9.5 and 19.2 AU, respectively, so the main belt is not located between these planets.

Hence, The main belt is not located between these all planets.

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