Mr. Champion invests 34,000 into a money-market fund that pays 4.8% simple interest. How long will it take for him to earn $8,160 in simple interest?

Pls show all work

Answers

Answer 1

Answer:

5 years

Step-by-step explanation:

Step one:

Given Information

Principal= $34,000

rate = 4.8%

SImple interest = $8,160

Required

The time T of the investment

Step two:

the expression for simple interest is

[tex]SI= PRT/100[/tex]

substitute

[tex]8160 = 34000*4.8*T/100[/tex]

cross multiply we have

[tex]8160*100= 34000*4.8*T\\\\816000= 163200T\\\\[/tex]

divide both sides by 163200

[tex]816000/163200= T\\\\T= 5 years[/tex]


Related Questions

Question is in the picture. PLEASE HELP ASAP GIVING BRAINLIEST & 30 POINTS!

Answers

Answer:

x=5

Y=0

Hope this helpssssssssssssssss

Answer:

x=1; y=13/5

Step-by-step explanation:

(I'm sure you can do given yourself)

<D=<B                 Def of parallelogram

8x+5=5y              Substitution

<a and <d is         Def of paralleogram

supplementary

3x+10=5y             Substitution

8x+5=5y                 Do system of equations

3x+10=5y                

8x+5=3x+10            they both equal 5y so set both the equations together

5x+5=10                  subtract 3x from both sides

5x=5                       subtract 5 from both sides

x=1                            divide by 5 on both sides

8(1)+5=5y                  plug in x to one of the previous equations

13=5y                         Simiplfiy

y=13/5                        

An equipment rental company charges $40 per day to rent a trench digger. A construction crew rented a trench digger for 6 days and paid 270. Write a linear equation in slope-intercept form that represents the total cost to rent the trench digger as a function of the number of days.


What should x and y equal, what is the y-intercept, and what is the equation


BTW THIS IS 40 POINTS

Answers

Answer:

y = 40x + 30

Step-by-step explanation:

$40 per day represents the slope

Finding the y-intercept:

270 - 6*40 = 30

The function is then:

y = 40x + 30

-2x+10y=25
X-25y=3

Elimination method

Answers

Answer:

equation form: x=-131/8y -31/40

Step-by-step explanation:

this is addition/elimination

Step-by-step explanation:

(-2x+10y=25) × 2.5

-5x+25y=62.5

x-25y=3

-5x+x+25y-25y=62.5+3

-4x=65.5

x =65.5÷4

=16.375

16.375-25y=3

-25y=3-16.375

-25y=-13.375

y=- 13.375÷-25

=0.535

i tried.

Solve the system by substitution.
y = 3x + 14
y = X

Answers

Answer:

[tex]\boxed{x = -7~~and~~ y =-7}[/tex]

Step-by-step explanation:

y = 3x + 14

y = x

.

x = 3x + 14

3x - x = -14

2x = -14

[tex]x = \frac{-14}{2}[/tex]

x = -7

.

y = x

y = -7

Answer:

x = 7 and y = -7

Step-by-step explanation:

use substitution method

6x2 - 19x + 15
Helpp

Answers

Answer:   -19+27

Step-by-step explanation:

6x2-19x+15
First simplify 6x2 into 12
You get: 12-19x+15
Then collect terms: -19x+(12+15)
Then just simplify: -19x+27

Download Cymath it’s a life saver :)

Determine if the ordered pair (-1, -5) is a solution to the inequality y<-3/4x - 1

Answers

Answer:

Yes

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Substitution

Step-by-step explanation:

Step 1: Define

y < -3/4x - 1

Solution set (-1, -5)

Step 2: Check

Substitute:                    -5 < -3/4(-1) - 1Multiply:                        -5 < 3/4 - 1Subtract:                       -5 < -1/4

Here we see that -1/4 is indeed bigger than -5.

∴ The ordered pair is a solution.

Stefan sells Jin a bicycle for $115 and a helmet for $17. The total cost for Jin is 110% of what
Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How
much money did he make by selling the bicycle and helmet to Jin?

Answers

Stephan spent $145.20 I believe because 115+17=132 and to make it easier, 10% of 132 is 13.2(it’s like multiplying 132 by 0.1) and 100% of 132 is 132 so then you just take 132 and add 13.2 to get $145.20 and how much money he made would be $13.20
Stephan spent $145.20

Approximately 60 percent of municipal solid waste in the United States is composed of some form of organic matter that could be composted. Every American generates approximately 2 kg of waste every day. The amount of compostable waste that could be generated by one individual in a week would be closest to

Answers

Answer:

8.4 kg

Step-by-step explanation:

First, find how much waste is created in a week:

Multiply 2 by 7, since they create 2 kg of waste each day:

2(7)

= 14 kg

Then, find 60% of this:

Multiply 14 by 0.6:

14(0.6)

= 8.4

So, the amount of compostable waste created by 1 person in a week is approximately 8.4 kg

The amount of compostable waste that could be generated by one individual in a week would be closest to 8.4kg.

Amount of compostable waste:

Using this formula
Compostable waste amount=Kg of waste× Number of days in a week× Municipal solid waste percentage

Where:
Kg of waste=2kg

Number of days in a week=7 days

Municipal solid waste percentage=60% or 0.60

Let plug in the formula

Compostable waste amount=2kg×7 days×0.60

Compostable waste amount=8.4 kg

Inconclusion the amount of compostable waste that could be generated by one individual in a week would be closest to 8.4kg.

Learn more about compostable waste here:https://brainly.com/question/25342752

Can someone answer for E please? This is my 34th question and this is probably easy but my brain cant handle any more. Will mark brainliest

Answers

Step-by-step explanation:

4/3 = -6e - 5/3

6e = -4/3 - 5/3

6e = -9/3 = -3

e = -0.5

Answer:

The equation is always false

Step-by-step explanation:

Whats 22^4 - 2 2/4

Brainlest

Pls helppp

Answers

Answer: 234,253.50

Work: I did 22 to the power of 4 first and I got 234256. I subtracted 2 which is 234254, and than took 1/2. So, the answer is 234253.50.

Eugene ate 20% of the Christmas cookies his
grandmother made. If he ate 8 cookies, how
many are left?

Answers

Answer:

40 is the total amount of cookies

32 is the amount left

Step-by-step explanation:

If 20% of cookies equal to 8 then to find how many are there in total we multiply 8 with 100 then divide it with 20

8 × 100 ÷ 20 = 40

Jasmine spent $98.80 on shirts. Fancy shirts cost $22.20 and plain shirts
cost $13.60. If she bought a total of 6 then how many of each kind did she
buy?

Answers

i need help with a problem i posted on my page please help me out

PLEASE HELP!! will give brainliest. answer choices and question are in the photo.

Answers

Answer:

-17,-6and 1,-6

Step-by-step explanation:

Scouting Troops in Morgan Country are putting on a crab feed to raise money for camp. They offer a complete crab dinner as well as a vegetraian option. One Troop member sold tickets for 12 crab meals and 23 vegetarian meals, with total receipts of $916. Another sold tickets for 12 crab meals and 12 vegetarian meals, bringing in a total of $696. How Much do the 2 types of tickets costs?

Answers

Answer:

cost of crab meals = $20

cost of vegetarian meals = $38

Step-by-step explanation:

Let

x = cost of crab meals

y = cost of vegetarian meals

Troop A

12 crab meals and 23 vegetarian meals, with total receipts of $916.

12x + 23y = 916

Troop B

12 crab meals and 12 vegetarian meals, bringing in a total of $696

12x + 12y = 696

12x + 23y = 916 (1)

12x + 12y = 696 (2)

Subtract (2) from (1)

23y - 12y = 916 - 696

11y = 220

y = 220/11

= 20

y = 20

Substitute y = 20 into (1)

12x + 23y = 916

12x + 23(20) = 916

12x + 460 = 916

12x = 916 - 460

12x = 456

x = 456/12

= 38

x = 38

cost of crab meals = $20

cost of vegetarian meals = $38

PLEASE HELP ASAP THANK U!!!!

Answers

Answer:

3

Step-by-step explanation:

(brainliest for correct answer) write an equation in slope/intercept.

Answers

Answer:

y=-2x+2

Step-by-step explanation:

If point P is Four-sevenths of the distance from M to N, what ratio does the point P partition the directed line segment from M to N into?

Answers

Answer:

m into5

Step-by-step explanation:

Answer:

ANSWER 4:3

Step-by-step explanation:

Given : A point P is 4/7 of the distance from M to N.

∴ Let the distance between M to N be d.

Also,  the point P partition the directed line segment from M to N .

Thus , MN = MP+PN

Now, the ration of MP to PN will be :-

∴ Point P partitioned the line segment MN into 4:3.

please help me I am so dum​

Answers

Answer:

[tex]\frac{4}{5}[/tex]

What Is the slope of the line that passes through these two points (-5,7) and (6,4)

Answers

Answer:

slope = - [tex]\frac{3}{11}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 7) and (x₂, y₂ ) = (6, 4)

m = [tex]\frac{4-7}{6+5}[/tex] = [tex]\frac{-3}{11}[/tex] = - [tex]\frac{3}{11}[/tex]

If JK = KL, find JL Please help me.

Answers

Answer:

JL=22x-6

Step-by-step explanation:

We have JK=KL

                 

Can anyone help me with this?

Answers

[tex]the \: surface \: area \: of \: both \: cone = 2(\pi{rl} + \pi{ {r}^{2} } ) \\ total \: surface \: area \: of \: both \: cone = 2(\pi{( \frac{1.4}{2} )(2.7)} + \pi{ {( \frac{1.4}{2} )}^{2} } ) \\ total \: surface \: area \: of \: both \: cone = \boxed{4.76\pi} \\ \\ the \: surface \: area \: of \: the \: cylinder = 2\pi{rl} +2 \pi{ {r}^{2} } \\ the \: surface \: area \: of \: the \: cylinder = 2\pi{( \frac{1.4}{2} )(7.5)} +2 \pi{ {( \frac{1.4}{2} )}^{2} } \\ the \: surface \: area \: of \: the \: cylinder = \boxed{11.48\pi} \\ \\ therefore \: the \: surface \: area \: of \: the \: composite \: object \: = \boxed{4.76\pi + 11.48\pi} \\ the \: surface \: area \: of \: the \: composite \: object \: = \boxed{16.24\pi}[/tex]

Check the Show sine and cosine of ∠A and Show sine and cosine of ∠B boxes. Move point B to various locations so that m∠A is approximately 15°, 30°, 45°, 60°, and 75°. In each case, record m∠A and m∠B and record the sine and cosine of ∠A and ∠B. What relationship do you observe between the sine and cosine of ∠A and the sine and cosine of ∠B?

Answers

Answer:

the pic has the answer

Explanation:

The relationship between the sine and cosine of ∠A and the sine and cosine of ∠B for given angles, sin(A) =  cos(B) and

sin(B) = cos(A)

What are complementary angles?

"Two or more angles are complementary if their sum is 90° "

For given question,

∠A and ∠B are complementary angles.

⇒ ∠A + ∠B = 180°

For ∠A = 15° the measure of ∠B is 75°

For ∠A = 30° the measure of ∠B is 60°

For ∠A = 45° the measure of ∠B is 45°

For ∠A = 60° the measure of ∠B is 30°

For ∠A = 75° the measure of ∠B is 15°

So, the sine and cosine of ∠A and ∠B would be,

∠A      ∠B      sin(A)    cos(A)     sin(B)     cos(B)

15°       75°     0.25       0.97       0.97       0.26

30°      60°     0.5         0.87       0.87        0.5

45°      45°     0.71         0.71        0.71        0.71

60°      30°     0.87        0.5         0.5         0.87

75°      15°      0.97        0.26       0.26       0.97

From above records, we can observe that  sin(A) =  cos(B) and

sin(B) = cos(A)

Therefore, the relationship between the sine and cosine of ∠A and the sine and cosine of ∠B for given angles, sin(A) =  cos(B) and

sin(B) = cos(A)

Learn more about complementary angles here:

https://brainly.com/question/5708372

#SPJ2

geometry:(

will give brainist to correct answer:)

Answers

Given:

End points a line segment are (9,-8) and (-1,-4).

To find:

The equation of perpendicular bisector of given line.

Solution:

Slope of given line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m_1=\dfrac{-4-(-8)}{-1-9}[/tex]

[tex]m_1=\dfrac{-4+8}{-10}[/tex]

[tex]m_1=\dfrac{4}{-10}[/tex]

[tex]m_1=-\dfrac{2}{5}[/tex]

Product of slopes of two perpendicular line is -1.

[tex]m_1\times m_2=-1[/tex]

[tex](-\dfrac{2}{5})\times m_2=-1[/tex]

[tex]m_2=\dfrac{5}{2}[/tex]

So, slope of perpendicular bisector is [tex]\dfrac{5}{2}[/tex].

Perpendicular bisector passes through the midpoint of given endpoints.

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{9+(-1)}{2},\dfrac{(-8)+(-4)}{2}\right)[/tex]

[tex]Midpoint=\left(\dfrac{8}{2},\dfrac{-12}{2}\right)[/tex]

[tex]Midpoint=\left(4,-6\right)[/tex]

So, perpendicular bisector passes through (4,-6) and having slope [tex]\dfrac{5}{2}[/tex]. The equation of perpendicular bisector is

[tex]y-y_1=m(x-x_1)[/tex]

where, m is slope.

[tex]y-(-6)=\dfrac{5}{2}(x-4)[/tex]

[tex]y+6=\dfrac{5}{2}(x)+\dfrac{5}{2}(-4)[/tex]

[tex]y+6=\dfrac{5}{2}x-10[/tex]

[tex]y=\dfrac{5}{2}x-10-6[/tex]

[tex]y=\dfrac{5}{2}x-16[/tex]

Therefore, the equation of perpendicular bisector is [tex]y=\dfrac{5}{2}x-16[/tex].

Plz plz help plz plz I’ll give brainlist

Answers

Answer: 10

Step-by-step explanation:

hope this helps!

Answer 2  2/19

there is you answer

Roberto wants to raise money for new equipment by selling T-shirts. He pays $5.00 for each T-shirt and needs to raise $450. If 75 students order T-Shirts, by what percent must roberto markup the T-shirts to raise $450?

Answers

Answer: Mark up percent = 20%

Step-by-step explanation:

Given: Cost price of each T-shirt = $5.00

Amount required = $450

Total students = 75

Market price for each T-shirt to raise the required amount = (Amount required ) ÷ 75

= $450 ÷ 75

= $ 6

Mark up percent = [tex]\dfrac{\text{Market price - Cost price}}{\text{Cost price}}\times100[/tex]

[tex]=\dfrac{6-5}{5}\times100\\\\=20\%[/tex]

Hence, Mark up percent = 20%

BRAINLIEST TO RIGHT WITHOUT WORK
If you increase the length of a rectangle by 50% and the width by 100% by what percent will the area of this rectangle increase

Answers

Answer:

200%

Step-by-step explanation:

if you substitute in numbers you'll find this as the answer.

as an example:

suppose the sides of the rectangle was 1 unit long.

area before change: 1 * 1 = 1

then, the length gets increase by 50% making it 1.5 ( 50% of 1 is 0.5, then you add it onto 1, 1 + 0.5 = 1.5 )

the width gets increased by 100% making it 2 ( 1 + 1 = 2 )

new area: 1.5 * 2 = 3

1 increased by 200% is 3, therefore the answer is 200%

Find the unit rate: 6 children from 2 families.
2 children per family
1/2 children per family
3 children per family
1/6 children per family

Answers

Answer:

The answer is 3 children per family.

Step-by-step explanation:

This is a fraction equal to

6 children ÷ 2 familys =3 children per family.

Just took the quiz.

What is the length of segment V? Help please asap

Answers

11

Explanation

8+6=14
14-3=11

Answer:

11

Step-by-step explanation:

8+6=14

14-3=11

can someone please help me

Answers

Answer:

x=1

Step-by-step explanation:

tje volume of a rectangle box with l=3x,b=5y,h=4z​

Answers

Answer:

60xyz

Step-by-step explanation:

Have a nice Day , Hope this helped you I would appreciate it if you could mark my answer brainliest

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