Katie invested a total of $6000 part at 3% simple interest and part at 4% simple interest at the end of one year the investment had earned $216 interest how much was invested at each rate?

Answers

Answer 1

Answer:

$3600 at 4%$2400 at 3%

Step-by-step explanation:

Let x represent the amount invested at 4% (the higher rate). Then the amount invested at 3% is (6000-x), and the total interest earned is ...

  0.04x + 0.03(6000 -x) = 216

  0.01x +180 = 216 . . . . simpilfy

  0.01x = 36 . . . . . . . . subtract 180

  x = 3600 . . . . . . . . multiply by 100

  6000-x = 2400

Katie invested $3600 at 4% and $2400 at 3%.


Related Questions

simplify the expression (b+3)+(2b-2)

Answers

Answer:

if you meant (b+3)+(2^b-2), the answer is b+1+2^b

Step-by-step explanation:

but if you meant (b+3)+(2b-2), the aanswer is 3b+1

Answer:

3b+1

Step-by-step explanation:

(b+3)+(2b-2)

b+3+2b-2

3-2

b+1+2b

b+2b

3b+1

Answer the question based on this system of equations.

{x=y−5
6x−2y=22

Which of the following choices help to verify whether (7,12) is a solution to the system above?

Select all that apply.

Group of answer choices

1.) 7=12−5 is true.

2.) 7=12−5 is not true.

3.) 6(7)−2(12)=22 is true.

4.) 6(7)−2(12)=22 is not true.

Answers

Step-by-step explanation:

1.) 7=12 - 5 is true

4.) 6(7) - 2(12) = 22 is not true

Work out
47% of £900

Answers

Answer:

47 percent *900 =

(47:100)*900 =

(47*900):100 =

42300:100 = 423

Now we have: 47 percent of 900 = 423

Question: What is 47 percent of 900?

Percentage solution with steps:

Step 1: Our output value is 900.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$900=100\%$.

Step 4: Similarly, $x=47\%$.

Step 5: This results in a pair of simple equations:

$900=100\%(1)$.

$x=47\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{900}{x}=\frac{100\%}{47\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{900}=\frac{47}{100}$

$\Rightarrow x=423$

Therefore, $47\%$ of $900$ is $423$

arrange the given the decimals in ascending order from least to greatest ​

Answers

To arrange in ascending order means to arrange numbers from the smallest value to the greatest value in the set of numbers provided.

9) 3.021 < 3.12 < 3.121 < 3.21

Look at the 1st decimal place after the point first. 0 is less than 2 & 1, so 3.021 is the least number. Now, for 3.12 & 3.121, look at the 3rd place. 3.12 = 3.120, so it’s smaller than 3.121. Then comes 3.21 which is the greatest number in this set.

10) 5.0090 < 5.05 < 5.059 < 5.5

Here, 5.0090 is the smallest number. Then comes 5.05 = 5.050 which is smaller than 5.059. 5.5 is the greatest number.

_________

RainbowSalt2222 ☔

A city dumps plastic shade balls into a reservoir to prevent water from evaporating during a drought. It costs $5760 for 16,000s shade balls. How much dose it cost for 12,000 shade balls?

Answers

Answer:

$4320

Step-by-step explanation:

it costs $5,760 for 16,000, so divide 5,760/16,000 to find the cost for each shade ball, .36 dollars. Then multiply .36 by 12,000 to find 4320. Then just don't forget your unit ! add a $ or 'dollars'

What is the meaning of the point shown on this graph?
Mysha’s Height

A: Mysha was 12 inches tall at age 2 1/2 years

B. Mysha was 30 inches tall at age 1 year

C: Mysha was 12 inches tall at the ago 30 months

D: Mysha was 30 inches tall at age 12 years

Answers

It would be B. She is 30 inches in height (y-axis) and she is 1 year old, or 12 months (x-axis). Hope this helped :)

Alf needs to borrow $15,000 to pay for his college tuition. He can borrow the money from his
parents at a rate of 3.55% interest compounded annually for 4 years, or he can borrow from his
local bank at a rate of 3.50% interest compounded continuously for 4 years
Manipulation of Numerical Data

Answers

Alf would prefer to borrow from his parents because their rates are more favourable.

The future value of the loan if he borrows from his parents is given by this formula: A(1 + r)^n

Where:

A = amount  

R = interest rate  

N = number of years  

$15,000(1 + 0.0355)^4 = $17,246.13

The future value of the loan if he borrows from the local bank is given by this formula: : A x e^r x N

Where:

A= amount e = 2.7182818 N = number of years r = interest rate

$15,000 x  2.7182818^0.035 x 4 = $62,137.18

To learn more about future value, please check: https://brainly.com/question/14640433

convert 25 __ 200 fluid ounces
use the Measures of Capacity to help u if u need it
which is greater
steps must be given
Will give branliest​

Answers

1 cup = 8 ounces
25 cups = 200 ounces

200 ounces divided by 8 ounces = 25 cups

What is 26 out of 100 expressed as a ratio in simplified form?

Answers

26:100

..............................

26 percent in simplest form is the fraction 13/50. Since 'percent' means 'per hundred,' 26 percent would be equivalent to the fraction 26/100.

Statistics question 8

A survey is sent out to a sample of voters about an upcoming election via text messaging. Do you think this will produce an unbiased sample? Give your reasons for your answer.

Answers

Answer:

This will not produce an unbiased sample

Step-by-step explanation:

Reason for this is that not many people have phones believe it or not, therefore you are discriminating against the people without phones

Can someone help me with this problem 9(n+3)<10(n+1)

Answers

[tex]9(n+3)~<~10(n+1)\implies 9n+27~<~10n+10 \\\\\\ 27~<~n+10 \implies 17 ~<~ n[/tex]

For all horizontal lines the domain is

Answers

Answer: All real numbers

Step-by-step explanation:

It depends on if the horizontal line goes on infinitely but I'd assume it does. It should be all real numbers.

A store pays $85 for a picnic table and marks the price up by 25%. What is the new price ​

Answers

The answer would be 106

Relatively Simple Math, pls lend a hand. All my points and Brainliest

Answers

My answer is probably A

There are 4 rows of seats in each of first class and business class and there are 32 rows of seats in economy class. How many rows of seats are there on the planes?

Answers

Answer:

4 + 4 + 32 = 40 rows

Step-by-step explanation:

simplify 5/13 ( 75 - 49)​

Answers

Answer:

The answer is 10.

Step-by-step explanation:

I'm certain this is correct. :D

Which is the quotient for 0.9 divide by 0.75

Answers

Answer:

1.2!

Step-by-step explanation:

The value of the numerical expression 0.90 ÷ 0.75 in the decimal form will be 1.20.

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

0.90 and 0.75

Then the division between the numbers 0.90 and 0.75 will be given by putting a division sign between them. Then we have

⇒ 0.90 ÷ 0.75

⇒ 0.90 / 0.75

⇒ 1.20

The worth of the mathematical articulation 0.90 ÷ 0.75 in the decimal structure will be 1.20.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

see question above ^^​

Answers

I think the answer is (4) because if you rotate AEC to the left (counterclockwise) and follow by the scale factor of 2 so, CE = 4x2 = 8 and CA = 3x2 = 6. Hope this help :))

You need spoons, cones, and bowls for your store. The spoons come in packs of 100, cones come in packs of 60, and cups come
in packs of 80.
1. How many spoons, cones, and cups will you have if you order 8 packs of each?
2. How many customers will you be able to serve? Will every person need a cup, spoon, and a cone?
3. If you estimate that you will have 1500 customers next week, how would you change your order to make sure everyone can be served?

Answers

Step-by-step explanation:

Number 1

Number of spoons= no of boxes × individual no of spoons

= 100 × 8 = 800 spoons.

Number of cones = no of cones in a box × no of boxes

= 60 × 8 = 480

Number of cup = no of cups in a box × no of boxes

= 80 × 8 = 640.

Total = 800 + 480 + 640 = 1920

Number 2

If everyone needs a cup, spoon and cones, it means they all need 3 items.

no of people you can serve = 1920 ÷ 3

= 640 people.


5b + 6 - 6b + 2 = 19

Answers

Answer:

i got b= -11

Step-by-step explanation:

Answer:

b=-11

Step-by-step explanation:

5b + 6 - 6b + 2 = 19

5b-6b+6+2=19

-b+8=19

b=8-19

b=-11

5(-11) + 6 - 6(-11) + 2 = 19

-55 + 6 + 66 + 2 = 19

-55+74=19

19=19

Find x for brainiest 3

Answers

Answer:

115

Step-by-step explanation:

[tex]65 + x = 180 \\ x = 180 - 65 \\ x = 115[/tex]

How many palindromes between 1000 and 9999 inclusive are divisible by 9?

Answers

Palindromes are numbers that remain the same, when reversed.

There are 10 palindromes divisible by 9 between 1000 and 9999

To do this, we list the numbers divisible by 9 between 10 and 99.

The numbers are:

[tex]\mathbf{A = 09,\ 18,\ 27,\ 36,\ 45.\ 54,\ 63,\ 72,\ 81,\ 90,\ 99}[/tex]

Flip these numbers

[tex]\mathbf{B =90,\ 81,\ 72,\ 63,\ 54.\ 45,\ 36,\ 27,\ 18,\ 09,\ 99}[/tex]

Combine corresponding numbers

[tex]\mathbf{AB =0990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

Rewrite as:

[tex]\mathbf{AB =990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

990 is less than 1000.

So, we have:

[tex]\mathbf{AB =1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]

Count the numbers

[tex]\mathbf{n(AB) =10}[/tex]

Hence, there are 10 palindromes divisible by 9 between 1000 and 9999

Read more about palindromes at:

https://brainly.com/question/14076732

8. What is the relationship between multiplying and factoring?​

Answers

Answer:

A factor is one of the constants or variables that is multiplied with another factor to produce a term. The term 4x has factors 4 and x. To factor means to separate what is being multiplied. So factoring “takes apart” the product of multiplying.

The initial population of a town is 3800​, and it grows with a doubling time of 10 years. What will the population be in ​8 years?

Please show step by step!

Answers

Answer:

The population was 3040 people in 8 years.

Step-by-step explanation:

find unit rate;

3800/10 = 380

380 x 8 = 3040

Adult tickets to the fall play cost $8 and student tickets cost $4 . The drama class sold 30 more adult tickets than student tickets to the fall play. If the class collected $840 from ticket sales, how many adult tickets were sold?

The drama class sold blank adult tickets.

Answers

Answer:

60 adult tickets were bought.

Step-by-step explanation:

9514 1404 393

Answer:

  80 tickets

Step-by-step explanation:

Let 'a' represent the number of adult tickets sold. Then a-30 is the number of student tickets sold. The total revenue is ...

  8a +4(a -30) = 840

  12a -120 = 840 . . . . . . eliminate parentheses

  a -10 = 70 . . . . . . . . . divide by 12

  a = 80 . . . . . . . . . . . add 10

The drama class sold 80 adult tickets.

__

Check

The number of student tickets was 30 less, so 50 student tickets. The total revenue was ...

  50($4) +80($8) = $200 +640 = $840 . . . . as required

Maggie makes a scale drawing of a deck. The scale for the actual deck to the scale drawing is 7 ft
to 1 in. The dimensions of the deck are 28 ft by 17.5 ft. What are the dimensions of the deck in the
drawing? Show your work.

Answers

Answer:

The width is 2.5 inches

Step-by-step explanation:

The given ratio is 7 ft to 1 in

Now we will have 17.5 to x in

x * 7 = 17.5 * 1

7x = 17.5

x = 17.5/7

x = 2.5 inches

An inventor makes a rectangular array of 1024 LEDs. Each row will
have 16 LEDs. How many rows of LEDs does he need?

Answers

Answer:

64

Step-by-step explanation:

Since the total area of the rectangle (in this case number of leds) is:

Total LEDs = rows * columns

you can just replace the values:

1024 = 16 * x

And then divide 1024 / 16 to find x

x = 64

A girl has 7 skirts, 9 blouses, and 4 pairs of shoes. How many different skirt-blouse-shoe outfits can she wear

Answers

Answer: 252 i think i tried and i think its right

Explain how you could solve the following using equal groups.

Linda wants to bake 48 cookies. The cookie tray has room for 8 cookies. How many batches will she have to bake to make 48 cookies?

Answers

Answer:

6

Step-by-step explanation:

48/8=6

in order to raise enough money to buy a travelling bag, Ebuta deposits the sum of $200 in a savings account for 2 years at 5% per month interest on the initial principal. How much will be accruing to him at the end of the period​

Answers

Answer:

$200 times 5% = $10/MONTH

Step-by-step explanation:

$10 times 24 because theres 24 months in 2/YRS

$240 additional accruing funds at the end of the period!

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