Two investments totaling $15,500 produce an annual income of $1450. One investment yields 10% per year, while the other yields 5% per year. How much is invested at each rate?

Answers

Answer 1

Answer:10% rate:

Principal = p

Rate = 0.10

Interest = 0.10p

5% rate:

Principal = 15500 - p

Rate = 0.05

Interest = 0.05(15500 - p) = 775 - 0.05p

0.10p + (775 - 0.05p) = 1450

0.05p + 775 = 1450

0.05p = 675

p = 13500

10% rate:

Principal = p = $13,500

5% rate:

Principal = 15500 - p = 15500 - 13500 = $2000

Step-by-step explanation:

hope it helps


Related Questions

Plz help me this very important

Answers

The answer will be 31 hope it right

Anyone knows the answer???

Answers

Answer:

351.9 m²

Step-by-step explanation:

[tex]SA=2\pi r^2+2\pi rh[/tex] where r is the radius of the base and h is the height of the cylinder

We're given the diameter of the base, which is 8 m. Therefore, the radius is 4 m (after dividing by 2).

Plug in 4 as r and 10 as h

[tex]SA=2\pi (4)^2+2\pi (4)(10)\\SA=2\pi (16)+2\pi (40)\\SA=32\pi +80\pi \\SA=112\pi[/tex]

Therefore, the surface area of the cylinder is approximately 351.9 m² after rounding to the nearest tenth.

I hope this helps!

351.9 to the power of 2

A 20 in wagon wheel has 6 spokes. What is the outside distance between the end of the spokes if they are spaced evenly(arc length)?

Answers

Answer:

10.47 inches

Step-by-step explanation:

circumference = πD = 3.14(20) = 62.8 inches

62.8 inches/6 spaces = 10.47 inches per space

An art teacher recorded whether the students in three of her classes prefer water color or oil painting. The art teacher plans to create a two-way table to analyze her results. Which variables can the art teacher use as the row and column headings of the table? O painting preference and total number of students O painting preference and number of students in class 1 O class number and painting preference O class number and number who prefer oil​

Answers

Answer:

C. class number and painting preference

Step-by-step explanation:

just got done with the quiz

The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals.

Answers

a^2 + b^2 = c^2

Let c = hypotenuse = 2x

One of the legs = x. Let a or b = x.

I will let a = x. We can then say that b = 3.

3^2 + x^2 = (2x)^2

9 + x^2 = 4x^2

9 = 4x^2 - x^2

9 = 2x^2

9/2 = x^2

sqrt{9/2} = sqrt{x^2}

3/sqrt{2} = x

Rational denominator.

[3•sqrt{2}]/2 = x = a

Side 3 is given to be 3 feet. So, b = 3.

Hypotenuse = 2x

Hypotenuse = 2([3•sqrt{2}]/2)

Hypotenuse = 3•sqrt{2}

Understand?

The three sides are 3, [3•sqrt{2}]/2 and

3•sqrt{2}.

Solve these equations.

Answers

Answer:

no solution

Step-by-step explanation:

|x-33| = -33

An absolute value must be greater than or equal to zero

The right hand side is a negative number.

There is no solution

Answer:

No solution

Step-by-step explanation:

When you do the absolute value, it is equal to a negative number. Which does not make sense so no solution

Write the equation in standard form for thelcircle with center (-8, -1) and radius 4

Answers

9514 1404 393

Answer:

  (x +8)^2 +(y +1)^2 = 16

Step-by-step explanation:

The standard form equation for a circle with center (h, k) and radius r is ...

  (x -h)^2 + (y -k)^2 = r^2

For your center and radius, the equation is ...

  (x -(-8))^2 +(y -(-1))^2 = 4^2

  (x +8)^2 +(y +1)^2 = 16

The ratio of dogs to cats at the local
shelter is 2 to 5. There are 20 dogs at
the shelter. What is the total number
of cats and dogs at the shelter?
A. 28
B. 50
C.
70
D. 8
Need

Answers

Answer:

B 50

Step-by-step explanation:

Option 1) 2/5 = 20/x  |  20/2 = 10 so x = 10  |  5 times x 10 =50

Option 2) dogs 2 to cats 5  |  2/5 = 20/x  |  .40 = 20/x  |  .40x = 20  |  x = 50

Option 3) you can look and see that 20 is 10 times more than 2 and therefore infer that x is 10 times more than 5 which is 50

u(3u+4)-u(u+2)

HELP PLEASE I NEED IT RN

Answers

the answer is 2u x (u+1)

solve these equations show solutions on a number line.
|x+8|=x+8

Answers

9514 1404 393

Answer:

  x ≥ -8

Step-by-step explanation:

The absolute value does nothing when its argument is non-negative.

  x +8 ≥ 0

  x ≥ -8 . . . . . . . subtract 8 from both sides

5 in
1 in 3 in
1 in 1 in
3 in
5 in
1 in
3 in
What is the surface area of the solid?
O A. 15 square inches
OB. 40 square inches
O C. 23 square inches
D. 46 square inches

Answers

Shiddd ion even know but can you like my comment though?

Due to a manufacturing error, three cans of regular soda were accidentally filled with diet soda in a 12 pack. Suppose that two cans are randomly selected from the 12 pack. Answer A-C.
(a) determine the probability that both sodas contain diet soda p(both diet) = ????
(b) determine the probability that both contain regular soda p(both regular) = ????
(c) determine the probability that exactly one is diet and one is regular p(one regular and one diet) = ????

Answers

Answer:

a- 3/4

b- 1/4

c- 3/16

Step-by-step explanation:

Find the interest and amount of Rs. 12500 for
5 years at the rate of 8% per annum​

Answers

Answer:

Can't help you in this Question

Interest = Rs. 5000
Kindly check the attached image for solution

1 Write the series 3 + 6x +9x2 +12x + ... with 45 terms in sigma notation.​

Answers

Answer:

Step-by-step explanation:

It looks like every time the coefficient increases by 3 while the exponent increases by 1.

[tex]\\45\\\sum 3(n+1)x^{n}\\n = 0[/tex]

Notice it starts at zero so 3 is multiplied by (x+1) to make it start from 0

The exponent is simply n, because at the start is it zero [tex]x^0=1[/tex], then 1, then 2, so on.

The upper limit is 45 because 45 - 0 = 45 terms

On Monday, 248 students went on a trip to the zoo. All 6 buses were filled and 8 students had to travel in cars. How many students were in each bus?​

Answers

Answer:

40 students in each bus.

Step-by-step explanation:

Subtract the 8 extra students from the total to get the total number of students who rode in buses. Then divide that total by 6.

248-8=240

240/6=40

40 students in each bus.

248-8=240
240/6=40
= 40 students in all six buses

Jack borrowed $ 4,000.00 and paid $ 585.00
in simple interest after 4 year 6 months. What
was the annual rate of interest?​

Answers

Answer:

3.25%

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

585 = (4000)(r)(4.5)

585 = 18,000r

r = 0.0325

Multiply by 100 to get the percentage

0.0325 = 3.25%

please help me i can't figure this out

A 6 meters per second

B 5 meters per second

C 4 meters per second

D 7 meters per second​

Answers

Answer:

B 5 meters per second

Step-by-step explanation:

Pick two points on the graph, and find the slope.

For example, you can use the points

(0, 8500) and (1700, 0)

slope = (difference in y)/(difference in x)

slope = (0 - 8500)/(1700 - 0) = -8500/1700 = -5

The slope is negative because the plane was losing altitude as it descended.

It descended at a rate of 5 meters per second.

Answer: B 5 meters per second

Answer:

B. 5 meters per second

Step-by-step explanation:

slope=8500÷1700=5

Plane descended at the rate of 5 meters per second.

hope it helps

have a great day!!

What is the area of the triangle?​

Answers

Answer:

11 ½ * 4* 5.52 *5.5=11.....….

Martin spent $2.60 on his lunch. Sandwiches cost $1.25. Milkshakes cost $0.65. How much MORE does a sandwich cost than a milkshake?

Answers

Answer:

0.60 more

Step-by-step explanation:

Sandwich: 1.25

Milkshake: 0.65

We need to find the difference between the 2

1.25 - 0.65 = 0.6

A sandwich costs 60 cents MORE than a milkshake

1.25-0.65 as simple as that

The length of a rectangle is (2x-3) and the width is (x+6) which of the following is a representation of area

Answers

Answer:

(2x+3)(x+6) or 2x^2 + 15x + 18

Step-by-step explanation:

Area = Length x Width

Length = (2x-3)

Width = (x+6)

(2x-3)(x+6)

2x^2 + 12x - 3x - 18

2x^2 + 15x + 18

Final Answer: (2x+3)(x+6) or 2x^2 + 15x + 18

a + b - b =
what is it plzz help

Answers

Answer:

a + b - b = a

Step-by-step explanation:

Question 4
The results of the Woodlands Middle School poll show that 20% of
the students prefer the aquarium and 50% of the teachers the
aquarium.
Which of the following statements is true?
There is evidence that teachers at Woodlands Middle may prefer the aquarium
more than students.
There is not enough evidence to support a relationship between destination
preference (aquarium or amusement park) and school role (student or teacher).
Woodlands Middle may prefer the aquarium
There is evidence that students
more than teachers.

Answers

Answer:

There is evidence that teacher at Woodlands Middle May prefer the aquarium more than students

Step-by-step explanation:

There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.

Why do we do sampling?

We do sampling so that we don't have to work on entire population of items but only on that sample in a way that we can predict information about population.

Most of the times, it isn't possible in real world to work on entire populations. Samples come out for rescue by assumptions that they will have some properties of the population pertained in them.

Thus, the sample should be taken out such that it includes data of the population as much  as it can in unbiased way so as to imitate population.

Poll oftenly uses sampling.

The data obtained from the poll shows that:

20% of the students prefer the aquarium and 50% of the teachers the

aquarium.

That means, from the poll, we found that out of total students, 20% prefer aquarium whereas 50% of total teacher prefer aquarium.

Since we conclude from sampling only as this is the usual way we do conclusion about population, and since percentage shows that less students' proportion prefer aquarium than the proportion of teachers prefering aquarium, thus,

There is evidence that teachers at Woodlands Middle may prefer the aquarium (Option A) is the true statement from all the available options.

Learn more about sampling here:

https://brainly.com/question/24842573

Un grupo de estudiantes alquila un piso por el que tienen que pagar 420 € al mes. Uno de ellos hace cuentas
y observa que si fueran dos estudiantes más, cada uno tendría que pagar 24 € menos. ¿Cuántos estudiantes
han alquilado el piso? ¿Cuánto paga cada uno?

Answers

Answer:

I dont know but i just need these points

Simplify: (-5x + 7) - (x2 – 3x +2)

Answers

Answer:

-x^2-2x+5

Step-by-step explanation:

Pull out like factors :

-x2 - 2x + 5 = -1 • (x2 + 2x - 5)

Factoring x2 + 2x - 5

The first term is, x2 its coefficient is 1 .
The middle term is, +2x its coefficient is 2 .
The last term, "the constant", is -5

Step-1 : Multiply the coefficient of the first term by the constant 1 • -5 = -5

Step-2 : Find two factors of -5 whose sum equals the coefficient of the middle term, which is 2 .

-5 + 1 = -4
-1 + 5 = 4

Observation : No two such factors can be found !!

-x2 - 2x + 5

A point is chosen at random on AK what is the probability that the point will be on FI don't reduce

Answers

Answer: 3/10

Step-by-step explanation:

The probability that the point will be on FI is 3/10 if a point is chosen at random on AK the answer is 3/10.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have a number line shown in the picture:

Total Number partition or gaps between each letter(between A and K):

= 10

Total number of outcomes = 10

Total number of favorable outcomes(between F and I) = 3

The probability that the point will be on FI:

By using the definition of the probability:

= favorable outcomes/total outcomes

= 3/10

Thus, the probability that the point will be on FI is 3/10 if a point is chosen at random on AK the answer is 3/10.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

D = L ( m/k + v^2/25)

Make v the subject of the formula.

Answers

Answer:

Answer and steps in picture.

D/L = m/k + v^2/25
-m/k -m/k
25(D/L - m/k) = v^2/25(25)
Sqrt 25(D/L - m/k) = sqrt v^2
Sqrt 25(D/L - m/k) = v

Please help me with this question.

Answers

Answer:

-7

Step-by-step explanation:

hope it helps

Tomas drew a rectangle with an area of 6 square centimeters.what is the greatest possible perimeter of this rectangle?Explain please. i want 20 answers please

Answers

The answer is 14. Hope it helps!

Determine the intercepts of the line I need help quick!!!!!

Answers

Answer:

x-inter = (-40,0), y-inter= (0,15)

Step-by-step explanation:

the fitnessgram pacer test is an automated aerobic capacity test that progressively gets more difficult as it continues.

Find the interquartile range (IQR) of the data in the box plot below.
cm
Amount of rain in Vietnam cities
(centimeters)
+
++
0 1 2
3
4
5
6
7
8
9
10
Stuck? Watch a video or use a hint.

Answers

Answer:

1.5 cm

Step-by-step explanation:

Interquartile range (IQR) = Q3 - Q1

From the box plot given, the third quartile (Q3) is the data value that falls exactly at the end of the edge of the rectangular box = 7 cm

The first quartile (Q1) is the data value exactly at the beginning of the edge of the box = 5.5 cm

Interquartile range (IQR) = 7 - 5.5 = 1.5 cm

Other Questions
Froya Fabrikker A/S of Bergen, Norway, is a small company that manufactures specialty heavy equipment for use in North Sea oil fields. The company uses a job-order costing system and applies manufacturing overhead cost to jobs on the basis of direct labor-hours. Its predetermined overhead rate was based on a cost formula that estimated $380,000 of manufacturing overhead for an estimated allocation base of 1,000 direct labor-hours. The following transactions took place during the year (all purchases and services were acquired on account): a. Raw materials purchased for use in production, $275,000. b. Raw materials requisitioned for use in production (all direct materials), $260,000. c. Utility bills were incurred, $74,000 (95% related to factory operations, and the remainder related to selling and administrative activities). d. Salary and wage costs were incurred: Direct labor (1,100 hours) $305,000 Indirect labor $105,000 Selling and administrative salaries $185,000 e. Maintenance costs were incurred in the factory, $69,000. f. Advertising costs were incurred, $151,000. g. Depreciation was recorded for the year, $87,000 (80% related to factory equipment, and the remainder related to selling and administrative equipment). h. Rental cost incurred on buildings, $112,000 (85% related to factory operations, and the remainder related to selling and administrative facilities). i. Manufacturing overhead cost was applied to jobs.j. Cost of goods manufactured for the year, $920,000.k. Sales for the year (all on account) totaled $1,950,000. These goods cost $950,000 according to their job cost sheets.The balances in the inventory accounts at the beginning of the year were:Raw materials $45,000Work in process $36,000Finished Goods $75,000Required:a. Prepare journal entries to record the above data.b. Post your entries to T-accounts.c. Prepare a schedule of cost of goods manufactured.d. Prepare an income statement for the year. Expalin two advantages of Marginal Costing. A circle has a circumference of 6. It has an arc of length 1.What is the central angle of the arc, in degrees? The monthly utility bills in a city are normally distributed with a mean of $100 and a standard deviation of $12. Find the probability that a randomly selected utility bill is more than $120 A person who files bankruptcy ends up paying a 6% higher fixed interest rate on a 30-year home loan than a personwho has not filed bankruptcy. The person who files bankruptcy pays a 12% interest rate on their home loan. If the loanamount is $150,000, how much more in total interest do they pay than the person who has not filed bankruptcy?A. $258,375.30B. $643.59C. $149,536.52D. $231,693.52 The price for a car in 2015 was RM 54000. This was 10% higher compared to the year 2014? Tysm only this one left 2. What does this drug do to the brain, and what are its short-term and long-term effects on the brain, the rest of the body, or the mind? Write at least 3 sentences on this topic that seventh graders could understand 20 points real answers would be amazing thank you!Which of these is a property of tsunami waves? (1 point)high frequencyvery high speedshort wavelengthsvery large amplitude What do you think should be done to memorialize Emmett Till properly? Write a paragraph about what you think should be done and why. Think about the message that should be conveyed, and how the memorial would educate the public. Hardware Sells Nails By The Kilogram.One Inch Of Nails Weighs Approximately 18 mg.How Long,In mm,Is A 1-inch Nail,Correct to 1Decimal Place.? Which product forms from the synthesis reaction between lithium (Li) and oxygen (O)?A. Li2OB. LiOC. LiO2D. Li2O2 The goal of meeting economic and humans needs is to improve blank of life Let's take another look a Juliet's speech.Gallop apace, you fiery-footed steeds,Towards Phbus' lodging; such a waggonerAs Phton would whip you to the west,And bring in cloudy night immediately.(III, iii, 3-6)What is Juliet really trying to do here?A. express a similarity between Phthon and Romeo, as both are driven by passionsB. express the lack of wisdom in wishing to alter the natural order of things by examining consequencesC. conjure an ancient spell that actually shortens the dayD. sacrifice order in favor of chaos in order to alter time (shorten the day) Who worked at the slaughterhouses?1. Women2.Children3. Immigrants two angles are supplementary. the bigger angle is three times as large as the smaller angle.find the measurement of the angles Can you please help me What is the height of a rectangle with a perimeter of 152.8 mm and baselength of 72.2 mm? write a poem about yourself ( this is for creativity, dont report for no reason, Also i love all poems but i will choos which on i like more. When a stream's velocity decreases from 300 to 200 centimeters per second, which size sediment will be deposited?