Mathematics High School

Mary won $200,000 in a state lottery. she first paid income tax of 30% on the winnings. she invested some of the rest at 1.5% and some at 4%, earning $4,350 interest per year. how much did she invest at each rate?

Answers

Answer 1

Marry rate of investment is 4%.

Lets solve it through simple steps,

30% 0f $200,000 = $60,000

$200,000-$60,000 = $140,000

Rate 1.5%

Rate 4% = (140,000-x)

Interest earned = $4,350

1.5x+4(150,000-x)=4350*100

1.5x+600,000-4x=435,000

1.5x-4x=435,000-600,000

-2.5x=-165,000 /-2.5

x=66000

$ 66,000  1.5%

Balance = $74,000 at  4%

Hence the rate is 4%

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Related Questions

Ted and Mary ordered meals costing a total of $30, including tax. They left an 18% tip. How much did they spend in all?

A $48.00

B $39.00

C $36.40

D $35.40

Answers

Answer:

D $35.40

Step-by-step explanation:

We need to find 18% of $30 and then add it to the $30 total.

To find a percent of a number, change the percent to a decimal by moving the decimal point two places to the left. Then multiply it by the number.

18% of $30 =

= 18% * $30

= 0.18 * $30

= $5.40

The tip was $5.40. Now we add the tip to the total.

$30 + $5.40 = $35.40

Answer: D $35.40

The greatest common factor(GCF) of LaTeX: x^7,\:x^3,\:x^5\:is\:_{ }__________.

Answers

Answer:

x^3

Step-by-step explanation:

We are to find the greatest common factor of x^7, x^3 and x^5

x^7 = x^3 * x^4

x^3 = x^3 * 1

x^5 = x^3 * x^2

From both factors, we cam see that x^3 is common to the three, hence the GCF is x^3

Which equation represents how much it would cost for any number of rides? * 1 point r = 1.50c c = r - 1.50 r = 1.50 + c c = 1.50r

Answers

C=1.50r would be the correct answer

Use algebra tiles to find the difference. Let one yellow tile equal +1 and one red tile equal –1. 12 – (–9)

Answers

Answer:

21

Step-by-step explanation:

12 - (-9)

Open The bracket :

Recall: - * - = +

Hence,

12 + 9 = 21

can someone please help me??

Answers

Answer:

There is only one solution and it is the point of intersection

Step-by-step explanation:

what's the answer for 1/2 of 3/5?

Answers

Answer:

3/10

Step-by-step explanation:

If 91 is 1% of a number, what is that number? *

Answers

Answer:

The Answer is 1900.

Answer:

9100

Step-by-step explanation:

multiply the one percent by 100 to get the 100 percent

Since Beth was born, the population of her town has increased at a rate of 850 people per year. On Beth's 9th birthday, the total population was nearly 307,650, Write and solve a linear equation to find the population on Beth's 16th birthday.


I only need the equation pls help

Edit: the equation needs to be in slope intercept form

Answers

Answer:

editor edit

37,650

Step-by-step explanation:

37650

7.1 as a percentage

Answers

Answer:

its 710%

Step-by-step explanation:

710% hope it helps!

50 points for this helpppp plzz

Answers

Answer:

ok

Step-by-step explanation:

Answer:

srry I needed the points hope u don\t mind

Step-by-step explanation:

A = 5x^2+3xy-7y^2 B = -x^2+2xy+8y^2 B, minus, A, equals
I WILL GIVE BRAINLYIST!!!!!!!!!!! Help!!!!!

Answers

Answer: -6x^2-xy+15y^2

Step-by-step explanation:

The value of B-A is -6x²-xy+15y² .

What is an Equation ?

A statement where the algebraic expressions are equated with an equal sign with each other is called an Equation.

It is given that

A = 5x²+3xy-7y²

B = -x²+2xy+8y²

To calculate is B - A

B- A = ²   (-x²+2xy+8y²) - (5x²+3xy-7y² )

B-A = -x²+2xy+8y² - 5x²- 3xy +7y²

B-A = -6x²-xy+15y²

Therefore the value of B-A is -6x²-xy+15y² .

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Kim got to the store at 11:19 in the morning. She spent 24 minuets in the store how many minuets after she got to the store and left?

Answers

Answer:

11:43 am

Step-by-step explanation:

Given data

Time of arrival= 11:19 am

We are told that she spent 24 minutes in the store

Based on this, we can estimate the time she left the store

The time she left

=11:19+ 24

=11:43 am

Hence she left 11:43 am

the graph of y=-3x+2, state the domain and the range

Answers

Answer:

Domain: (-∞,∞)

Range: (-∞, ∞)

Hope this helps.

A typical person takes about 24000 breaths each day. Write an equation you can use to find the number of breaths a typical person takes each minute.​

Answers

Step-by-step explanation:

Welp if a typical person takes 24000 breaths each day that's means

24000÷24=1000

so that's means 1000 per hour

if a hour take 60 Min that's mean

1000÷60=16.6666667 don't tell me I'm not sure about this answer and not really good at this :p

39°
.(91-x9)
What solves for x

Answers

Multiple times 9 + 5 or more of a few other things that I don’t know what you do with this game

 this is the one i need help with please !! honors algebra 2 , 10th grade

Answers

Answer:

g(g(x)=25x

Step-by-step explanation:

g(g(x) is a composition function. Think of g(x) as input. That means whatever g(x) equal that will be inside of the function g(x)

g(x) equal 5x so 5x will be the equal value going into the function g(x)

[tex]g(x) = 5x[/tex]

[tex]g(x) = 5(5x)[/tex]

Which equal 25x

help me please i have no idea what i’m doing

Answers

Answer:

1. 5

2. 5/3

3. 4.5

4. 21

5. 10

6. (-12

7. (-1.5

Find g. 45° 45°
[tex] 3\sqrt{2} [/tex]

Write your answer in simplest radical form, units​

Answers

Answer:

sin45=3√2/g

g=3√2/(1÷√2)=3×√2×√2=3×2=6units

Answer: 6 (the math sign that’s like a checkmark i thinks it’s square root) 2. So like 6/2 you get the point.

Step-by-step explanation: I just had this problem on ixl and it gave me the answer

1. Tickets to the school musical cost $3 for students and $5 for
nonstudents. For Friday night's performance, the total ticket sales were
$1790. The number of student tickets sold was ioo less than twice the number of nonstudent tickets sold.

a. Write a system of equations to represent this situation. Tell what the variables represent.


b. Solve the system of equations, How many student tickets were sold? How many nonstudent tickets were sold?

Answers

Answer:

Your answer.

3x + 5y = 1790

y= 2x -100

X= 176.15

Y= 252.3

Thank you. And give my answer as Brainlist answer. Follow me for more

Step-by-step explanation:

find the missing measure

Answers

Answer:

Step-by-step explanation:

find the side of the square whose perimeter 20 m
​

Answers

20/4=5 square has 4 equal parts

what is the equivalent Ratios to 18:15

Answers

Answer:

6:5 in simplest form

Step-by-step explanation:

Answer:

6:5

Step-by-step explanation:

The greatest common factor, and only shared factor is 3. Use three and divide on both sides to get 6 and 5

An arithmetic sequence has second term 28 and the fifth term 52. (3 marks) a. Find u1 and d. b. Find u10

Answers

Answer: See explanation

Step-by-step explanation:

Second term = a + d = 28 ....... i

Fifth term = a + 4d = 52 ......... ii

Subtract equation I from ii

3d = 24

d = 24/3 = 8

d = common difference = 8

Since a + d = 28

a + 8 = 28

a = 28 - 8 = 20

First term = a = 20

u10 = a + (n-1)d

= a + (10-1)8

= 20 + (9 × 8)

= 20 + 72

= 92

Eric and Kelsey each work after school to earn money. Eric charges $10, plus an additional $4 per hour to babysit. Kelsey charges $15, plus an additional $3 per hour to rake. Eric and Kelsey work the same number of hours. Which system of equations can be used to determine how many hours, x, they need to work to earn the same amount of money, y?
​

Answers

Answer:

the option 3 or c is correct

The standard form of y = 5(x + 4)(x + 5) is

Answers

Answer:

mark me as brainliest plz

Answer:

21 is Correct answer hope you will like it

is y=1-x to the second power linear or nonlinear

Answers

Answer:

Non Linear

Step-by-step explanation:

Its non-linear because when you put X to the second power, it will change the function into a quadratic function

Answer the photo below thanks

Answers

Answer:

I think its D

Step-by-step explanation:

A cake recipe calls for 2 1/4 cups of flour. Mrs Allen measured 3/4 cup of whole wheat flour and plans to use bleached flour for the remainder. How much bleached flour should she use?

Answers

Answer:

she should use 1 2/4 cups of bleached flour

‼️ PLEASEEEE HELPP‼️

Answers

Answer:

I think the answer is 17

Step-by-step explanation:

I think its 17 because i watched a video and it says the midline should be half of the bottom.

I rlly hope this would help

Calculate the unit price of the following item:
Chocolate chip cookies cost $2.79 per package and
there are 30 cookies inside. What is the price per
cookie? *

Answers

10 lol that’s the answer.
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