Luke received an inheritance of $15000 that he divided into three parts and invested in three ways: in a money-market (x) fund paying 4% annual interest;in municipal bonds (y) paying 3.5% annual interest; and in mutual funds (z) paying 8% annual interest. Luke invested twice in mutual funds than in money-market fund. He earned $845 in interest the first year. How much did Luke invest in each type of fund?

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Total principal invested = $15000

Investment x at 4% (0.04)

Investment y at 3.5% = 0.035

Investment z at 8% = 0.08

z investment = 2x

Total interest earned = $845

Simple interest = principal * rate * time

y * 0.035 + x * 0.04 + 2x * 0.08 = 845

0.035y + 0.2x = 845 - - - (1)

y + x + 2x = 15000

3x + y = 15000 - - - - (2)

y = 15000 - 3x

0.035(15000 - 3x) + 0.2x = 845

525 - 0.105x + 0.2x = 845

525 + 0.095x = 845

0.095x = 845 - 525

0.095x = 320

x = 320/0.095

x = 3368.42

Z = 2x

Z = 2 * 3368.42 = $6736.84

y = 15000 - 3(3368.42)

y = $4894.74


Related Questions

PLEASE ANSWER ASAP WILL MARK BRAINLEST
Paul and Dana both want to find the change from the 6 AM temperature to the new 12 PM temperature.

Paul says that you can use a number line and add the distance from 0 to the 6 AM temperature and from 0 to the new 12 PM temperature. Dana says that you can subtract -1.4 from the new 12 PM temperature.

Is either Paul or Dana correct> Explain your reasoning and find the change in temperature.

Answers

Answer:

Paul is correct

Step-by-step explanation:

You can add the distance of 0 to 6 AM and 0 to 12 PM, and doing so on a number line. On a number line you would add them and lets say 6 AM is 6 degrees and 12 PM is 12 degrees, you would add 6 and 12 to get 18. While doing so you would got 1 2 3 4 5 6 7 8 9 and so on. Thus, finding the difference.

I know I'm late but can I still get that brainliest

Rodrigo can carpet a house in twelve hours, working by himself. DaShawn can carpet the same house in ten hours . Working together, how long would it take Rodrigo and DaShawn to carpet the house

Answers

Answer:

I would say 2 hours but im not sure tbh.

Step-by-step explanation:

Ben and Ella are filling goodie bags for a party. Each goodie bag needs an eraser, a bubble wand, and a few candy bar bites. Ben filled 25 goodie bags in 20 minutes. Ella filled 27 goodie bags in 24 minutes. Who filled goodie bags at a faster pace?

Answers

Answer:

Ben

Step-by-step explanation:

25 goodies = 20 minutes

27 goodies = 24 minutes

Let's use ratio, divide both of them by their minute

25/20 = 20/20

27/24 = 24/24

1.25 goodies = 1 minute

1.12 goodies = 1 minute

1.25 is bigger than 1.12.

Answer:Ben

Step-by-step explanation:

Leah deposited $50,000 in the bank. Three years later, she borrowed $40,000 for a new truck. From this description, which is the most accurate statement? Leah is earning more interest than she is paying. Leah did not have to provide collateral. Leah is being charged too much interest. Leah has the character to make payments on the loan.

Answers

Answer:  B. (Leah did not have to provide collateral.)

in a class of 36,19 read bioogy,16 read chemistry and 5 were not allowed to read both subjects​

Answers

Answer:

not hjyftyi uit yfiu hyr k

Step-by-step explanation:

sorry just i need some points

its urgent

0.333 repeating times 15. Please help me out and answer this question.

Answers

Answer:

4.995

Step-by-step explanation:

Plz help. And plz show work.

Answers

SU= 10
x-7+6=2x-12
x-1=2x-12
x+11=2x
11=x
2(11)-12=10

10w +19 +3w = 6 (9 + w) -14 does it have no solutions or infinite solutions​

Answers

Answer: w = 3

Step-by-step explanation: coz I juss know

Find the slope of the line that passes through the points (-2,3 ) and (4,-5).

Answers

Answer: The slope is m = -[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

Answer: - 4,3

Step-by-step explanation:

HELP ME PLZ ILL GIVE YOU EXTRA POINTS IF U GET IT RIGHT

Answers

Step-by-step explanation:

I used my calculator, so they should be correct.

HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!

Answers

Answer:

c 78

Step-by-step explanation:

و please tell me what the slope is​

Answers

Answer: slope = 6

Step-by-step explanation:

Slope is rise over run.

Find two perfect points and see how many up/down you go and how many left/right you go.

On this one, you go up 6, right 1.

6/1 is 6.

Hope this helps!

Answer:

6

Step-by-step explanation:

m=y2-y1/x2-x1

take two points from the graph (0, -1) and (1, 5)

5-(-1)=6

1-0=1

6/1=6

hope this helps :3

consider The line that passes through each pair of given points and decide what type of slope the line has.​

Answers

Answer:

(6,-3) and (-4, -3) = zero slope

(-7, 8) and (-7, 0) = undefined slope

(2, 4) and (5, 1) = negative slope

(3, 5) and (-1, 2) = positive slope

:)

Step-by-step explanation:

got it right on edge


[tex]m6 + 64n6[/tex]

Answers

the answer is 6(m+64n)

Rewrite equation y=-2/3x+4 in standard form

Answers

Answer: 2x+3y=12 I believe

The equation in standard form is 2x + 3y = 12

A store sells new video games for $45 each. Used video games sell for $18 each. Alex is buying 2 new video games and x used video games. Which equation can be used to find y, the total price Alex must pay in dollars?

Answers

Answer:

u = t/18 - 5

Step-by-step explanation:

45n + 18u = t where t is the total price, n is the number of new video games, and u is the number of used video games

plug in two:

90 + 18u = t

solve in terms of u:

18u = t - 90

u = t/18 - 5

can i get a thanks and brainliest please?

how to get 20 dollars by using 25 cents?

please work it out on paper​

Answers

Answer:

below if you cant read it, it takes 80 quarters

Step-by-step explanation:

How many significant digits should the product of 11,435 meters and 19.35 meters have?

Answers

Answer:

It has 8 significant figures

Step-by-step explanation:

Product of 11,435 meters and 19.35 meters

Product means multiplication(×)

= 11,435 × 19.35

= 221,267.25

Product of 11,435 meters and 19.35 meters = 221,267.25

It has 8 significant figures

Significant figures are non-zero digits or trapped zeros

I need some help with geometry!

Answers

Answer:

vertical

Step-by-step explanation:

Identify the domain and range of the function below.

Domain

Range

Answers

Answer:sry

Step-by-step explanation:

How do you make a fraction like this: 72 3/16 into a whole number?

Answers

What you do is you take the denominator and you divide it into the numerator.

)) Stefan estimates the income and expenses for renting
a phone accessory store in the mall. He enters the
amounts in the table shown. Should Stefan rent a
phone accessory store? Explain.
Estimated Income and Expenses
Type Amount Frequency
Sales
$950 Each week
Services
$2,875 Each month
Rent
-54,500 Each month
Travel
-$7.50 Each day
Merchandise -$1,650 Each month

Answers

Answer:

Stefan should rent a phone accessory store

Step-by-step explanation:

The given information are;

The total of the estimated income and expenses are given as follows;

Sales

Type [tex]{}[/tex]                      Amount  [tex]{}[/tex]                      Frequency

Sales [tex]{}[/tex]                      $ 950 [tex]{}[/tex]                          Each week

Services [tex]{}[/tex]                 $2,875 [tex]{}[/tex]                        Each month

Rent  [tex]{}[/tex]                     -$4,500 [tex]{}[/tex]                        Each month

Travel  [tex]{}[/tex]                   -$7.50 [tex]{}[/tex]                          Each day

Merchandise [tex]{}[/tex]         -$1,650 [tex]{}[/tex]                         Each month

Therefore;

Total sale = 4×950 = $3,800

Total services = $2,875

Total income =  $3,800 + $2,875 = $6,675

Total expenses = $4,500 + $7.50×30 + $1,650 = $6,375

Total profit = Total income - Total expenses = $6,675 - $6,375 = $300

Therefore, the net profit = $300.

Therefore, given that Stefan is able to make a net profit from his investment, he should rent a phone accessory store.

Look at the picture to see question plz help quickly and step by step

Answers

Answer: 16.6

Step-by-step explanation:

Solve the Equation. You must show all your work. (3 pts. - 1 point for correct
answer. 2 points for correct work shown.
(You must show work for every step when you add subtract/multiply divide both
sides by a value).

Answers

4m+5-5=3m-5/2-5 subtract 5 from both sides
4m=3m-5/2-5
(2)4m=2(3m-5/2-5) get rid of the fraction
8m=2•3m-5/2-10 cancel out the denominator
8m=3m-5-10 combine like terms
8m=3m-15
8m-3m=3m-3m-15 subtract 3m from both sides
5m=-15
5m/5=-15/5 divide 5 from both sides and get your answer
m=-3

​If the area of a square poster is 625 square inches. Josh needs to it to fit into a frame that has dimensions of 12 inches. How many inches does he need to cut off each dimension?

Answers

Answer:

13 inches

Step-by-step explanation:

To solve this problem we need to figure out the length of each side. Caculate the length of the square poster by finding out the square root. 25 times 25= 625. We know that th dimentions of the poster is 25. 25-12= 13

dividing a faction by a fraction 3/5 divided 1/3​

Answers

(3/5) / (1/3) = 3*3/5*1 = 9/5 or 1 4/5

Answer:

9/5

Step-by-step explanation:

3/5 ÷ 1/3

3/5 ÷ 3/13/5 × 3/1 = 9/5

9/5

Priya has completed 12 exam questions. This is 60% of the questions on the exam. How many questions were in the exam

Answers

Answer:

there are 20 questions on the exam

Step-by-step explanation:

For realllllll always 20
I can’t even it’s 20

A coin weighs 5/6 ounces. Ann picked up 3 of these coins.
What is the total weight of the coins she picked up?
Write your answer in simplest form.

Answers

How I’d do it:
5/6 three times makes 15/6. Made into a mixed fraction is 2 3/6, which in its simplest form is 2 1/2.
When converted to ounces, assuming that 6/6 is one complete ounce, then you get 2.5 ounces.
The total weight she picked up is 2.5 ounces.

A digital rain gauge has an outdoor sensor that collects rainfall and transmits data to an indoor display. Assume you produced a graph of all the data collected by the rain gauge over a 24-hour period. a. Would that graph be a discrete graph or a continuous graph? Explain your reasoning. b. b. Describe the general shape of the graph assuming it rained at a rate of 0.1 inch per hour for the entire 24-hour period. c. c. Describe the general shape of the graph assuming it rained 0.1 inch per hour for 6 hours, stopped raining for 6 hours, and then rained 0.2 inch for 12 hours.

Answers

Answer:

A digital rain gauge has an outdoor sensor that collects rainfall and transmits data to an indoor display. Assume you produced a graph of all the data collected by the rain gauge over a 24-hour period. a. Would that graph be a discrete graph or a continuous graph? Explain your reasoning. b. b. Describe the general shape of the graph assuming it rained at a rate of 0.1 inch per hour for the entire 24-hour period. c. c. Describe the general shape of the graph assuming it rained 0.1 inch per hour for 6 hours, stopped raining for 6 hours, and then rained 0.2 inch for 12 hours.

Find the length of AB if AC = 18 and BC = 7.

Answers

I’m going to guess the the line is AC and B is the midpoint, if this is what ur asking this is ur answer
18-7
Answer
AB=11
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