1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ierofanga [76]
3 years ago
13

Linda won $200,000 in a state lottery. She first paid income tax on 30% on the winnings. She invested some of the rest at 1.5% a

nd some at 4%, earning $4350 interest per year. How much did she invest at each rate?
Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0

She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.

<u><em>Explanation</em></u>

Total amount of winnings = $ 200000

She first paid income tax on 30% on the winnings. So, the amount paid as income tax =(200000*0.30)dollar=60000 dollar.

<u>Remaining amount</u> = $ 200000 - $ 60000 = $ 140000

Suppose, she invested  x dollar at 1.5% rate.

That means, she invested (140000-x) dollar at 4% rate.

Given that, the total amount of interest earned = $ 4350

So, the equation will be.....

0.015x+0.04(140000-x)=4350\\ \\ 0.015x+5600-0.04x=4350\\ \\ -0.025x= 4350-5600\\ \\ -0.025x=-1250\\ \\ x= \frac{-1250}{-0.025}=50000

So, amount of investment at 1.5% rate = $ 50000

and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000  


You might be interested in
Jackie has a prepaid Green Phone that charges 22 cents per text message sent or received. Jackie prepays $40 on her phone.
anyanavicka [17]
Hi there !

(40-6.56)/0.22 = 152
5 0
3 years ago
20% of a is 11. What is a?​
Reika [66]

Answer:

a=55

Step-by-step explanation:

This question is asking for you to find the whole (a), given a part (11). This can be done through multiplication. 20% is 1/5 of 100%. This means to find the whole number, you should multiply the part by 5. 11*5=55. So, a must equal 55.

We can check this answer by working backward. Do this by finding 20% of 55, and checking to see if it is 11. To find a percentage of a number, multiply that number by the percent in decimal form. So, 20% of 55 is equal to 0.2*55, which is 11. Therefore, the answer is correct.

5 0
2 years ago
Read 2 more answers
Value of the digit 3 in 20,320
Tema [17]
I believe that the answer is 300
8 0
3 years ago
Read 2 more answers
Please help me with this it’s due soon
KonstantinChe [14]

Answer:

39.5 degrees

Step-by-step explanation:

180-101=79

79/2=39.5

3 0
2 years ago
Read 2 more answers
Let AA and BB be events such that P(A∩B)=1/73P(A∩B)=1/73, P(A~)=68/73P(A~)=68/73, P(B)=21/73P(B)=21/73. What is the probability
krok68 [10]

Answer:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

Step-by-step explanation:

Let A and B events. We have defined the probabilities for some events:

P(A') =\frac{68}{73} , P(B) =\frac{21}{73} , P(A \cap B) =\frac{1}{73}

Where A' represent the complement for the event A

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

So for this case we can solve for P(A) like this:

P(A) = 1-P(A') = 1-\frac{68}{73}=\frac{5}{73}

And now we can find P(A \cup B) using the total probability rul given by:

P(A \cup B) = P(A)+P(B) -P(A \cap B)

And if we replace the values given we got:

P(A \cup B) = \frac{5}{73} +\frac{21}{73} -\frac{1}{73}=\frac{25}{73}

And that would be the final answer.

5 0
2 years ago
Other questions:
  • Tamika has a hard rubber ball whose circumference measures 13 inches. she wants to box it for a gift but can only find cube-shap
    14·1 answer
  • To divide 572 by 4 Stanley estimated to place the first digit of the quotient. In which place is the first digit of the quotient
    13·2 answers
  • Solve for x.<br> 16x – 3(4x + 5) = 2x + 9
    6·2 answers
  • polk elementary school was putting on its annual fall carnival. the school was selling 10 tickets for $1.00 or 2 tickets for 25c
    13·1 answer
  • there is a 36 foot fence around a play ground. there are 4 equal sections. you painted 1/4 of one equal part. what fraction do y
    13·2 answers
  • A mass weighing 16 pounds stretches a spring (8/3) feet. The mass is initially released from rest from a point 2 feet below the
    15·1 answer
  • Noah built a fenced dog run that is 8 yards long and 5 yards wide. He placed posts at every corner and every yard along the leng
    8·1 answer
  • Plzzz help so i want fail
    15·1 answer
  • 10 points
    15·1 answer
  • What are the binomial factors of the polynomial x³ - 2x² - 4x+8?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!