A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at:

(a) 6 % , (b) 6.1 %, (c) 6.2 %, (d) 6.3 %, (e) 6.4 %

Answers

Answer 1

Answer:

Income from $ 4000 at 5 % in one year = $ 4000 of 5 %.

= $ 4000 × 5/100.

= $ 4000 × 0.05.

= $ 200.

Income from $ 3500 at 4 % in one year = $ 3500 of 4 %.

= $ 3500 × 4/100.

= $ 3500 × 0.04.

= $ 140.

Total income from 4000 at 5 % and 3500 at 4 % = $ 200 + $ 140 = $ 340.

Remaining income amount in order to have a yearly income of $ 500 = $ 500 - $ 340.

= $ 160.

Total invested amount = $ 4000 + $ 3500 = $7500.

Remaining invest amount = $ 10000 - $ 7500 = $ 2500.

We know that, Interest = Principal × Rate × Time

Interest = $ 160,

Principal = $ 2500,

Rate = r [we need to find the value of r],

Time = 1 year.

160 = 2500 × r × 1.

160 = 2500r

160/2500 = 2500r/2500 [divide both sides by 2500]

0.064 = r

r = 0.064

Change it to a percent by moving the decimal to the right two places r = 6.4 %

Therefore, he invested the remaining amount $ 2500 at 6.4 % in order to get $ 500 income every year.

Answer: (e)

I know that this is hard to understand but if you need help let me know

Have a great day

Answer 2

............................................. (i had to do that bec it needed to be 20 characters)


Related Questions

Can someone please help ASAP?

Answers

Answer:

SA = 144 ft²

Step-by-step explanation:

SA = 1/2(9)(6)(4) + (6 x 6) = 144 ft²

what the guy above me said

Uhm So I am doing this math thing that's like important and I need help because I failed the first time and it brought done my grade so like can someone help because I want to make it to my next grade thank you very much, please help and do not say it was "too blury" because I am as blind as a bat without glasses so if it's some how blury well then I don't know what to say.But I am sorry that was meant to be respectful anyways please help.I'd appreciate it.

Answers

X is less than or equal to 4
And here is it on the graph line
x is less than or equal to 4

Find the surface area of the triangular prism.

Answers

The surface area triangular prism:
469 square units

Just trust me please, this is the write answer
Mark me brainliest if u got it right! Plss ty

Have a nice day

ASAP HELP
Use the following image to complete the sentences describing the ratio of big fish to small fish.

Answers

10 and 5

vyvhiknvcrfyijuedguiin

There are 8 big fish for every 10 small fish, There are 4 big fish for every 5 small fish.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

We need to find the number of small fishes for 4 big fish.

We can see that the big fish and small fish numbers are in proportion to each other.

Assume the small fish corresponding to 4 big fish be 'x'.

Therefore, using the proportion of two quantities, we have;

[tex]\dfrac{8}{10}=\dfrac{4}{x}[/tex]

Now on cross multiplying we get:

8x = 4×10

8x =40

Dividing both sides by 8, we get:

x=5

Hence, there are 4 big fish for every 5 small fish.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ5

ANSWER FAST!!!! The school bus travels at an average speed of 30 miles an hour in the morning because of the traffic. Diego's Home is 3 miles away from the school. If he got picked up by the bus at his house at 7:12am, what time did he arrive at the school? ANSWER plz

Answers

If he is going 30 miles and Diego is adopted then he is going to arrive at the school at 7:22
he will arrive at school at 7:22

Mr.Willams' physical education class last 7/8 hours.
Part of 7/8 hour Class
playing game: 1/2
instruction:1/5
warm-up and cool-down
How many minutes are not spent on instruction? Explain.

Answers

Answer:

40.5 Please mark me as brainliest

Step-by-step explanation:

x=(7/8)-(1/5)

x=(7*5-1*8)/40

x=(35-8)

x=(27/40)

60 min= 1hr

(27*60)/40

=40.5 min

Answer :  40.5

Step-by-step explanation:

Someone please help I need this ASAP Please.

Answers

Answer:

i think 2. is :   1and 3. is

Step-by-step explanation:

A certain coin is a circle with diameter 32mm . What is the exact area of each side of the​ coin?

Answers

Answer:

1.32572mm2

Step-by-step explanation:

Answer:

A≈8.04×10-4m²

Step-by-step explanation:

Question down below. Answer for points

Answers

Answer:

The base is 9 units

Step-by-step explanation: 9 x 15 = 135 square units

Answer:I think you need to divide 135 by something I don’t know

Step-by-step explanation:

Help me answer this nonsensical question!!!!!

Answers

Answer:

D

Step-by-step explanation:

(if he gathers 4 coins each month you will need the variable by it. he was given 20 coins so it is added on to how many coins he has. plus it would be greater than because the question asked when he will have MORE than 50 coins.)

The answer to this problem is D.

We know that each month, he gets 4 coins to add to his collection so that would represent 4m. And we know that he started with 20. The last thing that we know is that we will need a greater than symbol to represent more than 50. Therefore the equation is
20 + 4m > 50.

Have a wonderful day ❤️

Maggie wants to join a tennis club. City Tennis Center charges $150 for the initial membership and $30 each month. Urban Tennis Club charges $50 for the initial membership and $40 each month.

Maggie will join a tennis club for 1 year. Which club should Maggie join if she wants to spend the least amount of money? Use mathematics to explain how you determined your answer.

Answers

Answer:

City

Step-by-step explanation:

Cost for 12 months

City

150 + (30 * 12) = 510

Urban

50 + (40 * 12) = 530

City is $20 less for the year

Kala needs to buy some pencils. Brand A has a pack of 28

pencils for $4.19

. Brand B has a pack of 72

pencils for $9.12

.Find the unit price for each brand. Then state which brand is the better buy based on the unit price.

Round your answers to the nearest cent.

Answers

Answer: The brand should would want to pick is brand A.

Step-by-step explanation: Okay, first you divide 28 by $4.19. Then, divide brand B (72 divided by $9.12). Brand A- 6.68 |  Brand B-  7.89.

Brand A: 0.14$ for 1 pencil
Brand B: 0.12$ for 1 pencil

Brand B is the better buy because it costs less per one pencil.

No pic/link just type answer pls.

Answers

The answer is 2,144.66 cm. No explanation needed :)

Answer: G

This problem requires you to utilize the equation for the volume of a sphere. The volume of a sphere is [tex]\frac{4}{3}\pi r^{2}[/tex]. Because we are given the radius, the equation should be [tex]\frac{4}{3}\pi 12^{2}[/tex]. Simplify the equation to get 7238.23 [tex]cm^{3}[/tex]. (The mass doesn't really matter in this scenario. It's just additional information.)

PLZZZZZZZZZZZZZZZZ Which fraction is equivalent to negative 7 over 8?

Answers

Answer:

7 over negative 8.

Step-by-step explanation:

are there answer choices? -7/8 = -14/16, -21/24, -28/32, -35/40 are just some equivalents

Which angle is vertical to 3 in the given figure? You may assume that the lines are straight.

Answers

Angle 5 is vertical to angle 3.

The triangle below is a right triangle. What is the length of the missing side? Round your answer to the nearest whole number?
A. 7 inches
B. 11 inches
C. 15 inches
D. 225 inches

Answers

Answer: C) 15

Step-by-step explanation:

Use the Pythagorean theorem

[tex]x^{2}[/tex]= [tex]12^{2}[/tex] + [tex]9^{2}[/tex]

[tex]x^{2}[/tex] = [tex]225[/tex]

[tex]x = \sqrt{225}[/tex]

[tex]x = 15[/tex]

Answer:

C

Step-by-step explanation:

Lily is using dark power crystals to raise an army of zombies. Each crystal can raise 9 zombies.
How many crystals does Lily need to raise 6,174 zombies?

Answers

The is 686 crystals she need that to raise 6,174 zombie

Heeeeeeeeeeelp meeeeeeeeeeee

Answers

Answer:

ok have a good day sir/ma'am!

Step-by-step explanation:

1. C=5
2.B=9


Is it possible for you to send a clearer picture

Please Help!!
I'm at a D on Math so please, help me!

This will improve my grade!!

Brainliest if correct!

Answers

Answer:

1/20

Step-by-step explanation:

please give brainliest, please?

Label the tick marks

Answers

For the first one it’s 1/4s so the best number would be 3 1/4 then 3 1/2 or 3 2/4 and so fourth... the second line is 8ths so just like the first you will start out with the lowest which would be 1/8 all the way up to 7/8...... the last like is halves so you would start with 1/2 all the way to the end of the row

need help fast! Thank you!

Answers

Answer:

20, 12, and 16

Step-by-step explanation:

So we know that y=4x

This basically means y=4*x

So we can plug the values for x shown on the table below to find y.

when x=5:

y=4*5

=

y=20

So for the first fill in box, its 20

Next is x=3:

y=4*3

=

12

So for the next fill in box it is 12.

Finally we have x=4:

y=4*4

=

y=16

So the for the finally box it is 16.

Hope this helps!

Answer:

5 - 20

3 - 12

4 - 16

Step-by-step explanation:

Hope this helps

Please help me I'd appreciate it

Answers

Answer:

answer one

Step-by-step explanation:

Answer:

2 3/4 units 3

Step-by-step explanation:

because it is a cube so it has to be squared and you have to multiply

Laura bought 2 CDs that were each the same price. Including sales tax, she paid a total of $30.20. Each CD had a tax of $1.20. What was the price of each CD before tax?

Answers

Answer:

$13.90

Step-by-step explanation:

1.20 *1.20= $2.40 tax

30.20-2.40= $27.8 (both cds)

27.8/2 = $13.90 per CD

CAN SOMEONE HELP ME PLEASE

Answers

Answer:5 over 8 hope this helps you.

Step-by-step explanation:

-5/8, or -0.625 if needed for the decimal form.

The figure below shows a shaded circular region inside a larger circle:
r3 inches
R5 inches
What is the probability that a point chosen inside the larger circle is not in the shaded region?
O 24%
O 36%
O 50%
O 64%

Answers

Answer:

Probability is 64%

Step-by-step explanation:

Given the smaller circle which is shaded whose radius is denoted by r and  the largest circle whose radius is denoted by R

                     r = 3 inches

                    R = 5 inches

Step 1 : To calculate the area of shaded region.

Area of circle =

⇒ Area =    

          =   square inches

Step 2 : To calculate the area of larger circle.

Area of circle =

⇒ Area =    

            =  square inches

Step 3 : Calculate the probability that a point chosen from shaded region

Probability = Area of shaded region/Area of larger circle.

                  =  /

                  =  

                  =  0.36 = 36%

Step 4 : calculate the probability that a point chosen inside the larger circle is not in shaded region.

Probability = 1 - 0.36

                  = 0.64 = 64%

Hence the probability is 64%

Step-by-step explanation:

Only answer if you know the correct answer! Thanks! :)

Answers

Answer:

a and c

Step-by-step explanation:

It would be a and c !

Find the area of the figure.

Answers

[tex]6 \times 3 + 6 \times 2 \times \frac{1}{2} + 3 \times 3 \times \frac{1}{2} = 18 + 6 + \frac{9}{2} = \frac{57}{2} = 28.5[/tex]m

The area of the figure is 28.5 meters squared
Explanation
Divide the figure into two triangles and a rectangle.

The area of the triangle at the top is:
6 x 2 /2= 6

The area of the triangle on the right is:
3 x 3 /2= 4.5

The area of the rectangle on the center is:
3 x 6 = 18

Add the all up:
18 + 4.5 + 6 = 28.5

Have a nice day.

For a chess tournament, there needs to be 3 teachers for every 18 students. If there are 11 teachers, how many students can go to the chess tournament?
What is the constant of proportionality? You can think about this as 18 is how many times as much as 3.
Number of Teachers Number of Students
3
×
18
11

Answers

Step-by-step explanation:

Solution:

Given,

3 Teacher = 18 students

11 Teacher = X students ( let no. of student be x)

Now,

1 teacher = 18/3

= 6 students

So, If 1 teacher is there then 6 students can play chess.

again,

No. of teacher = 11

No.of students = X

Now,

X= No.of teacher × No.of students for 1 teacher.

= 11 × 6

= 66

So , 11 Teachers can handle 66 students.

There propotion is 11/66 = 1/6 = 1:6.

Answer:

1:6 is the answer

Step-by-step explanation:

Can anyone help out with this?

Answers

Answer:

Step-by-step explanation:

It is C) TK
This is because that line does not intersect or touch the line LR, so it is not transversal to it.

NEED HELP FAST PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Answers

mark him branliest bro
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