4) Karen Waughtal invested some money at 5% annual simple interest
and $500 more than that amount at 8% annual simple interest. If her total
yearly interest was $300, how much was invested at each rate?

Answers

Answer 1

Answer:

15000

Step-by-step explanation:


Related Questions

plz help me asap i need help plz i will mark you as brainlist

Answers

Answer:

the third one

how to find radius of the base examples​

Answers

Answer:

r=[tex]\frac{c}{2\pi }[/tex]

Step-by-step explanation:

3r²-6-3r=0 i have to use quadratic formula but i dont get how to imput it

Answers

Answer:

r = 2

r = -1

Step-by-step explanation:

So first, we need to get this is order of: ax^2 + bx + c

3r^2 - 6 - 3r

3^2 - 3r - 6

the formula is: -b ± √b^2 -4ac/2a

"ax^2 + bx + c" = "3^2 - 3r - 6"

a = 3

b = -3

c = -6

-b ± √b^2 -4ac/2a

-(-3) ± √(-3)^2 -4(3)(-6)/2(3)

3 ± √9 + (-12)(-6)/6

3 ± √9 + (72)/6

3 ± √9 + 72/6

3 ± √81/6

3 ± 9/6

3 - 9/6

-6/6

-1 = r

3 + 9/6

12/6

2 = r

Formula down below --

                                      |

                                     V

There are 130 people in a sport centre. 61 people use the gym.

68 people use the swimming pool.

60 people use the track.

25 people use the gym and the pool.

30 people use the pool and the track.

19 people use the gym and the track.

6 people use all three facilities.

Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Answers

Step-by-step explanation:

Number of people who uses the gym and the track, and also uses the pool = Number of people who use all 3 facilities = 6. (given)

Number of people who uses the gym and the track, and may or may not use the pool = 19. (given)

Therefore number of people who use the gym and track, but do not use the pool = 19 - 6 = 13.

Probability = (13/19) * 100% = 68.4%.

$2,300 invested at 7.5% for 10 years. In simple interest

Answers

Answer:

here's the answers............

Help me with this plz

Answers

Answer:

0.000032, 0.0000064

Step-by-step explanation:

Each is divided by 5

Answer:

0.00032 and 0.00064

Step-by-step explanation:

Think, each is divided by 5!

0.1, 0.02, 0.0004, 0.00008, 0.00016, 0.00032, 0.00064.

Posted By:

ehie, BenjiDev#3339

PLEASE ANSWER FAST I NEED HELPPP

Answers

The first answer is “B” and the second one is “D”. Attached below is my work.
I hoped this helped!! ^w^


In this question, all lengths are in centimetres.
Given
AB: AC = 1:2
AB= 3x-4
AC= 2x + 12
show that
AC: BC = 2:3
BС= 7X-2

Answers

Answer:

Step-by-step explanation:

AB/AC =1/2

(3x-4)/(2x+12)=1/2

2(3x-4) = 1(2x+12)

6x-8=2x+12

4x=20

X=5

AC/BC =3x-4/7x-2=22/33=2/3

AB/AC=3x-4/7x-2=22/33=2/3

AB/AC=3x-4/2x+12

6x-8=2x+12

You would get 4/5 still trying to work out the last mark

Step-by-step explanation:

First find x:

AB:AC=1:2

2(3x-4)=2x+12

6x-8=2x+12

4x-8=12

4x=20

x=5

Substitute:

AC=2x+12

=(2x5)+12

=10+12

=22

BC=7x-2

=(7x5)-2

=35-2

=33

22/33=2/3

Therefore AC:BC = 2:3

A bag of coins contains only quarters and dimes.
• The number of dimes in the bag can be represented by x.
• The number of quarters is 6 more than twice the number of dimes.
• There are a total of 276 coins in the bag.
What is x, the number of dimes in the bag?

helpp pls​

Answers

Answer:

Number of dimes in the bag = 90

Number of quarters in the bag = 186

Step-by-step explanation:

Let

x = Number of dimes in the bag

y = Number of quarters in the bag

= 2x + 6

Total = 276

276 = x + 2x + 6

276 = 3x + 6

276 - 6 = 3x

270 = 3x

x = 270/3

= 90

x = 90

Number of dimes in the bag = 90

Number of quarters in the bag = 2x + 6

= 2(90) + 6

=180 + 6

= 186

Total = Number of dimes in the bag + Number of quarters

= 90 + 186

= 276

a car dealer so 32 cars their first month The next month they sell 54 cars What is the percentage of change in the number of sold cars​

Answers

Answer:

68.75%

Step-by-step explanation:

First you do 54 - 32 to get 22.

Then you divide 22 by 32 to get the decimal 0.6875

Finally, you multiply 0.6875 by 100 to get 68.75% :D

Answer:

68.73% more cars were sold

Step-by-step explanation:

from 32 cars that represented 100% went to 54 so is a diference of 54-32=22

Now what percentage  of 32 is 22?

32 is 100%

22 is x%

x=(22*100)/32=2200/32=68.73%

Plz Help The function shown models the total number of insects in a colony x months after a small number of the insects are brought into a region.

What was the total number of insects in the colony when they were first brought into the region ? Enter your answer in the box​

Answers

Answer:

I think it's 25? If I can edit I'll come back with answer..(if it's not 25.)

Step-by-step explanation:

Mildred has a bag of coins. The bag contains 10 dimes, 5 nickels, and 1 penny. She will randomly select 2 coins from the bag one at a time without replacement. What is the probability that Mildred will select a dime first and then a penny?

Answers

Answer:

Total possibilities = 16

Probability of a dime of the first draw is 10/16 = 5/8

Probability of a penny on the second draw = 1/15

Probability of both = 5/8 * 1/15 = 1/24

HELP. car takes 10 hour and 30 minutes from A to B point. how many hours will it take for car if it's speed increases 1.2 times?
(distance doesn't change)

Answers

9514 1404 393

Answer:

  8 3/4 hours

Step-by-step explanation:

Time is inversely proportional to speed for the same distance. The time for 1.2 times the speed will be 1/1.2 times the given time:

  (10.5 h)/1.2 = 8.75 h

It will take 8.75 hours at the increased speed.

y + 12.5 = 21.7, y =

Answers

Answer:

y = 9.2

Step-by-step explanation:

21.7 - 12.5 = 9.2

Answer:

y = 9.2

Step-by-step explanation:

Skittles come in many different colors in my bag of 40 Skittles I had 12 green ones what percent of the bag was Green?​

Answers

Answer:

4.8

Step-by-step explanation:

9. In the diagram below of rectangle RSTU, diagonals RT and SU intersect
at O. If RT = 6x + 4 and SO = 7x - 6, what is the length of US?

Answers

Your Answer should be 16

Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].

What is the diagonal?

A polygon is defined as a flat or plane, two-dimensional closed shape bounded with straight sides.

A diagonal is a line segment connecting the opposite vertices (or corners) of a polygon. In other words, a diagonal is a line segment connecting two non-adjacent vertices of a polygon.

Here given that,

In the diagram below of rectangle [tex]RSTU[/tex], diagonals [tex]RT[/tex] and [tex]SU[/tex] intersect

at [tex]O[/tex]. If [tex]RT = 6x + 4[/tex] and [tex]SO = 7x - 6[/tex],

[tex]US=SO(2)\\\\US=7x-6(2)\\\\US=14x-12[/tex]

So,

[tex]6x+4=14x-12\\\\4+12=14x-6x\\\\16=8x\\\\x=\frac{!6}{8}\\\\x=2[/tex]

Hence, option (2) is correct i.e., the length of the [tex]US[/tex] is [tex]2cm[/tex].

To know more about the diagonals

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Can someone help with this I’ll mark u as brainlist

Answers

Answer:i don’t really k ow but i need points to ask questions

Step-by-step explanation:

Which is the graph of the linear equation 3x + 2y = 6?

Answers

Answer:

I think it would have to be the last one please tell me if i am right

Step-by-step explanation:

Answer:

It's the graph in the middle, just did it on edge

Step-by-step explanation:

There are 130 people in a sport centre.

61 people use the gym.

68 people use the swimming pool.

60 people use the track.

25 people use the gym and the pool.

30 people use the pool and the track.

19 people use the gym and the track.

6 people use all three facilities.

Given that a randomly selected person uses the gym and the track, what is the probability they do not use the swimming pool?

Answers

Answer:

13 / 19

Step-by-step explanation:

Given that :

U = 130

Let :

s = swimming pool

t = track

g = gym

n(g) = 61 ; n(s) = 68 ; n(t) = 60

n(g n s) = 25 ; n(t n s) = 30 ; n(g n t) = 19

n(g n s n t) = 6

n(g n t) only = n(g n t) - n(g n s n t) = 19 - 6 = 13

Hence, probability that a randomly scted person uses the gym and track and does not use the swimming pool = n(g n t) only ÷ n(g n t)

= 13 / 19

= 13 / 19

Neeeeeed help?!?!!!!!!!

Answers

Step-by-step explanation:

number of minutes I guess

A shoe store is having a clearance sale on their summer shoes. All summer shoes are marked 55% off. A sign states you can take an additional 10% off the clearance sale prices. Kelly is deciding between two pairs of sandals shown in the table.
Shoes Original Price
Blue Sandals $75
Tan Sandals $68

If she buys the blue sandals, what is the final price Kelly will pay? Round to the nearest cent.

Answers

Answer:

$30.38

Step-by-step explanation:

Final Price = Original Price - Discount

Final Price = 75 - 41.25

Final Price = $33.75

Then its the additional 10%

So now you make your original cost $33.75 to make it easier so

Final Price = Original Price - Discount

Final Price = 33.75 - 3.375

Final Price = $30.38

Final Answer: $30.38

The final price Kelly will pay round to the nearest cent is $30 38¢

What is percent?

In mathematics, a percent is a number or ratio expressed as a fraction of 100. It is often denoted using percentage sign "%".

Now it is given that,

Discount = 55%

Additional discount = 10%

Original Price of Blue Sandals = $75

Original Price of Tan Sandals =  $68

Since Kelly bought blue sandels,

So, discount on Blue Sandals = 55% of $75

discount on Blue Sandals = 0.55 * $75 = $41.25

So, Cost of Blue Sandals = $75 - $41.25

⇒ Cost of Blue Sandals = $33.75

Now there is additional discount of 10%

Additional discount = 10% of $33.75

Additional discount = 0.10% * $33.75

Additional discount = $3.375

Thus, Final Cost of Blue Sandals = $33.75 - $3.375

⇒ Final Cost of Blue Sandals = $30.375

Round to the nearest cent final cost of Blue Sandals = $30 38¢

Thus, the final price Kelly will pay round to the nearest cent is $30 38¢

To learn more about Percentage visit :

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Simplify this equation:
-4(c+2d)-2(3c-4d)

Answers

-10c
hope this helped !!!

Answer:

-10c

Step-by-step explanation:

-4(c+2d)-2(3c-4d) = (-4c-8d) + (-6c+8d)

Multiply (-4) to both terms in the first bracket and multiply (-2) to both terms in the second bracket.

(-4c-8d) + (-6c+8d) = -4c-8d-6c+8d

Evaluate like terms.

-4c-8d-6c+8d = -10c

cassandra has a loan of 35,720.This loan has a simple intrest rate of 4% per year.What is the amount of intrest will pay on this loan at the end of 2 year? PLEASE DONT JOKE AROUND THIS IS MY TEST.

A. 2,857.60

B. 38,577.60

C. 1,428.80

D. 5,715.20

Answers

Answer:

$2857.60 because when yu multiply the loan times the % yu get 1428.80 because it’s the end of 1 year and the question is asking for the end of 2 years so yu have to double it.

Step-by-step explanation:

Can anybody answer these 2 please hurry

Answers

Answer:

the first one is b= 52

the second one is b= 63

Find the slope of the line that passes through (8,6) and (4,15)

Answers

Is the line positive or negative

An ammonia and water mixture fills a five-gallon container. Eighty percent of the mixture is ammonia, but some of the mixture will be drained and replaced with pure water. If a five-gallon mixture of fifty percent ammonia is desired, how many quarts of the mixture need to be drained before the water is added, given that 4 quarts equals a gallon

Answers

Answer:

The volume of the 80% ammonia that is to be drained before water is added is 7.5 quartz

Step-by-step explanation:

The volume of the ammonia and water mixture = 5 gallons

The percentage of ammonia in the mixture = 80%

The volume of ammonia desired = 5 gallons

The percentage concentration of ammonia desired = 50%

The diluting solution = Pure water

The measure of 4 quarts = 1 gallon

Therefore, we have, by equivalence solutions;

80% × x gallon = 50% × 5 gallons

x gallon = 50% × 5 gallons/(80%) = 3.125 gallons

x = 3.125 gallons

The volume of the 80% ammonia that is to be drained = 5 gallons - 3.125 gallons = 1.875 gallons

4 quarts = 1 gallon

1 gallon = 4 quarts

∴ 1.875 gallons = 4 × 1.875 quartz = 7.5 quartz

The volume of the 80% ammonia that is to be drained before water is added = 7.5 quartz

Answer:

7.5

Step-by-step explanation:

What percent of the rectangle below is shaded (hint think about the fraction or ratio of
shaded to total)?
33%
40%
67%
25%

Answers

it is 33% i believe (it won’t let me send right so here’s some random words because it has to be 20 characters long)
the answer is a. 33%

Help me find the area please!

Answers

Answer:

787.5

Step-by-step explanation:

Givens

The bottom part of the figure is a trapezoid. Solve it first

a = 15 cm

b = 34 cm

h = 19 cm

Formula

Area = 1/2 (a + b)*h

Solution Trapezoid

area = 1/2 (15 + 34)*19

Area = 1/2 * 49 * 19

Area = 465.5

Remark

The top half of the figure is a parallelogram.

Formula

Area = base * height

Givens

base = 23

height = 14

Solution

Area = 23 * 14

Area = 322

Total Area

Total Area = 322 + 465.5

Total Area = 787.5

how many times does 35 go into 78?​

Answers

Answer:

It goes in 2 times

Step-by-step explanation:

Can i have branliest, so i can go up a rank?

Answer:

35 goes into 78 two whole times but, it goes into it 2.22857143 times, or rounded to 2.23 times. the answer you put down depends on the directions.

HELP WILL MARK BRAINLIEST

Answers

Answer:

The answer is D: y = -2x + 6

Step-by-step explanation:

the y-intercept is 6, and the slope goes down 2 and right 1. -2/1 is the same as -2.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

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