Suppose $500 is divided into two bank accounts. One account pays 15% simple interest per year and the other pays 10%. After three years there is a total of $200 in interest between the two accounts. How much was invested into the bank account that pays 15% simple interest (rounded to the nearest cent)? ​

Answers

Answer 1

Answer:

x = amount invested in the 15% account

x*.15*3 + (500-x)*.1*3 = 200

x = 333.33

so, 500-333.33 = 166.67 at 10%

Step-by-step explanation:

Answer 2

Answer:

x = amount invested in the 15% account

x*.15*3 + (500-x)*.1*3 = 200

x = 333.33

so, 500-333.33 = 166.67 at 10%

Step-by-step explanation:

sorry if i did it wrong


Related Questions

on every 6th day Angelique goes to the gym to exercise. every 7th day Bentley goes to the gym to exercise. what is the First day Angelique And Bentley will be at gym on the same day?

Answers

Answer:

The day that Angelique and Bentley will be at the gym on the same day is; the 42nd day.

Angelique's days:
6, 12, 18, 24, 30, 36, 42

Bentley's days:
7, 14, 21, 28, 35, 42

In conclusion, the earliest day that Angelique and Bentley will be at the gym on the same day will be, the 42nd day.

Step-by-step explanation:

Have a great rest of your day
#TheWizzer

the following shape has 1 pair of parallel sides 2, 7, 3, 8

Answers

Answer:

I think it's 8

Step-by-step explanation:

because if you think of an octagon it has eight sides and the only parallel sides is pn the top of the octagon and the bottom of the octagon

Find the value of x. X=?
Volume = 1500 ​

Answers

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

Solve the following equation for x:

[tex]1500=1/3(15)^{2} x[/tex]


please show steps to solve the problem thank you

Answers

Answer:

65 total number of boys

Step-by-step explanation:

In the boys row there are 45 "Blue" boys and 20 "Orange" boys.

You can add these numbers up together to find the answer to this problem.

45 + 20 = 65

65 total number of boys

There is 65 boys in total
45+20 = 65

When 3 + 3x − 5 − 8x is simplified, the result is:
-5x − 2.
-5x − 8.
-11x − 15.
6x − 13x.

Answers

Answer: -5x - 2

Step-by-step explanation:

Combine like terms: (3x - 8x) + (3 - 5) → -5x - 2 :)

My party started at 1:30 p.m.
It lasted 2 hours, 45 minutes.
What time did the party end?

Answers

Answer:

4:15

Step-by-step explanation:

add 2 hours that is 3:30

3:30 +30=4:00

and there oly 15 min left so

its 4:15

What is the value of x? ​

Answers

Answer:

I would say 30

Reasoning:

Because that thing your looking at is 180% degree angle and the other side is 90%. x is small it seems to be acute and I think 2x is about 60%.

If im incorrect im terribly sorry but at least my answer wasnt bad like the 1st guys

A rental car company charges $36.39 per day to rent a car and $0.09 for every mile
driven. Miguel wants to rent a car, knowing that:
He plans to drive 225 miles.
• He has at most $480 to spend.
Which inequality can be used to determine x, the maximum number of days Miguel
can afford to rent for while staying within his budget?

Answers

Answer:

12 days

Explanation:

480 >/= 36.39x + 20.25

The  inequality to determine x, the maximum number of days Miguel

can afford to rent while staying within his budget is

202.5 + 36.39x ≤ 480

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Charges per day = $36.39

Charges per mile = $0.90

Total miles = 225

Total charges for 225 miles.

= 225 x 0.90

= $202.5

The maximum amount to spend = $480

The inequality for the maximum number of x days.

202.5 + 36.39x ≤ 480

Thus,

The  inequality to determine x, the maximum number of days is

202.5 + 36.39x ≤ 480

Learn more about inequalities here:

https://brainly.com/question/20383699

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Please Help! If the triangle above is reflected over the y-axis, what is the correct coordinate for A'?

Answers

Answer:

A'(2,5)

Step-by-step explanation:

The position of point A is at (-2,5), and when you reflect it over the y-axis, you just have to switch the signs of the x-coordinate value.

Answer:

A'(2, 5)

Step-by-step explanation:

If the triangle is reflected over y-axis, the y-axis will be a symmetry line then the distance between A and y will remain the same but opposite sign which is 2 units ( -2 become 2 )

Can someone explain this to me?

Answers

The length was tripled by 1/2
If you turn 1/2 into a decimal it would be 0.5
Tripling 0.5 would just be multiplying it by 3
0.5 x 3 = 1.5
The answer would be A) 1.5x

If 6 books costs $48, then the cost of 8 books will be

Answers

Answer is $8:00 each 48 Divede by 6

-59 from -100 please help

Answers

Answer:

I think the answer will be - 159

Because the number with similar sign are always added

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

-59- -100 is equal to 41

Triangle ABC has side lengths AB=25 units, BC=24 units, and AC=7 units. Triangle ABC is mapped to triangle A′B′C′ by a reflection across a horizontal line and translated left 12 units. What is the length of segment B′C′?

Answers

Answer:

C

Step-by-step explanation:

because yes so the 25 unit down 12 units up

Question Find the cube root. -125 divided by 3

Answers

Answer:

First of all multiply 5 in three times

After reviewing her driving record for the past 3 years, Cindy’s insurance company offers her a good driver discount of 4. 5%. Her original policy was based on the premiums listed below. What is her new annual premium including the discount? Cindy's Auto Insurance Policy Type of Insurance Coverage Coverage Limits Annual Premiums Bodily Injury $50/100,000 $31. 75 Property Damage $25,000 $120. 50 Collision $500 deductible $275. 75 Comprehensive $100 deductible $100. 00 a. $504. 24 b. $523. 50 c. $528. 00 d. $551. 76.

Answers

Cindy's new annual premium including the discount would be given by: Option A: $504.24

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

The table given is:

Type of Insurance Coverage  Coverage Limits  Annual Premiums

Bodily Injury                              $50/100,000          $31. 75

Property Damage                     $25,000                 $120. 50

Collision                                    $500 deductible    $275. 75

Comprehensive                        $100 deductible     $100. 00

Her total annual premium = 31.75 + 120.50 + 275.75 + 100 = $528

Discount offered to her = 4.5% of $528 = [tex]\dfrac{528}{100} \times 4.5 = 23.76[/tex] (in dollars)

The new premium that she needs to pay after discount = Old premium - discount = $528 - $23.76 = $504.24

Thus, Cindy's new annual premium including the discount would be given by: Option A: $504.24

Learn more about percent here:

https://brainly.com/question/11549320

Answer:

its a

Step-by-step explanation:

Help me solve this please

Answers

There are 372 children, I hope my answer will be of use to you.

Helen wrote and solved the equation.

x minus 17 = 56. x minus 17 + 17 = 56 minus 17. x = 39.

What was Helen’s error?
Helen only needed to add 17 to the left side of the equation.
Helen should have added 17 to both sides of the equation.
Helen’s work is correct.
Helen made a subtraction error when subtracting 17 from 56.

Answers

Answer:

x-17=56

x-17+17=56+17

x=56+17

x=73

Step-by-step explanation:

Do mark BRAINLIEST

Answer:

d

Step-by-step explanation:

10 people each wants 3 slices but a box has 8 slices

Answers

Answer:

you need 30 slices

a minimum of 4 boxes of pizza

Step-by-step explanation:

i don't understand this at alllll :(

Answers

Answer:

300

Step-by-step explanation:

volume of rectangle formula:

HEIGHT*WIDTH*LENGHT*

12*10(1/2)*20(1/4= 300

Answer:

2551.5in³

Step-by-step explanation:

this is easy if you know the formula.

volume = l*w*h

= 20.25*10.5*12= 2551.5in³

Ashley predicts that 92% of the people she invites to her party will come. If she wants to have at least 23 guests, how many people should she invite to her party?

Answers

Answer:

25 people

Step-by-step explanation:

So, you're trying to find how many she needs to invite since only 92% show up. With this problem, you need to figure out 92% of what number is 23. An equation for this is:

92/100 = 23/x

1. Cross multiply to get 92x=2300

2. Divide both sides to get x by itself. You should get x= 25

3. So, she should invite 25 people

What is the area of rhombus ABCD? (Assume the diagonals of rhombus ABCD are equal).

Answers

Step-by-step explanation:

area of rhombus =1/2(d1×d2)

=1/2(4.25×4.25)

=1/2×18.0625

=9.03cm^2

FOR THE INVERSE VARIATION P- , FIND V>
WHEN P= 1/2

Answers

V and g = 2y 5899 4556 5688

The temperature in the freezer is -15°C. The temperature outside the freezer is 10°C. Find the difference between these two temperatures.

Is the answer 25? Just checking :)​

Answers

Answer:

Yes it is 25

Step-by-step explanation:

10 - 25 = -15

-15 + 25 = 10

Rewrite without absolute value for the given condition: y=|x−3|+|x+2|−|x−5|, if 3 < x < 5

Answers

Answer:

x>3 but x<5 so x=4

4-3=1

+

4+2=6

-

4-5=-1

but |-1|=1

so

1+6-1=6

I am doing a coordinate plane activity and i need help my teacher said it was going to be easy but to me it isn’t.

Answers

The layout of each of the coordinates is (x,y) so for the first coordinate (7, 13) you start at zero and go right 7 then up 13. And draw a little cross there or something. If it’s a negative number like (-13, -9) go left 13 from 0 and then go down 9 and draw a little cross again. After you have completed each line you have to join them up (like dot to dot) in the order that you drew them.

A, B, C, D and E lie on the circle.
AB is extended to F.
Angle AED = 140° and angle CBF = 95º.
Find the values of w, x and y.

Answers

Step-by-step explanation:

it may hint for you by this you can go easily it change for me sorry

1. Suppose that a theater charges a school group $4.50 per student to show a special film. Suppose that the theater's operating expenses include $130 for the staff and a film rental fee of $1.25 per student.

a. What equation relates the number of students x to the theater's income I?

b. What equation relates the theater's operating expenses E to the number of students x?

c. Copy and complete the table below.

Theater Income and Expenses
Number of Students, x 0 10 20 30 40 50 60 70
Income, I ($) box box box box box box box box
Expenses, E ($) box box box box box box box box
d. On the same set of axes, graph the theater's income and operating expenses for any number of students from 0 to 100.

e. Describe the patterns by which income and operating expenses increase as the number of students in a group increases.

f. Write and solve an equation that you can use to answer the question “How many students need to attend the movie so that the theater's income will equal its operating expenses?”

g. Write an equation that represents the theater's profit. Compare your equation to those your classmates wrote.

h. Find the number of students that make each of the following inequality statements true.

i. E < 255

ii. I > 675

Answers

The functions I(x) and E(x) of the theatre's income and expenses are illustrations of linear functions.

The equation of the theatre's income

The theatre charges $4.50 per student.

Assume the number of students is x, the equation of the theatre's income would be:

I(x) = 4.5x

The equation of the theatre's expenses

The theatre expense per student is $1.25, and the operating cost on the staff is $130

The equation of the theatre's expenses would be:

E(x) = 1.25x + 130

Complete the table

Using the formulas I(x) = 4.5x and E(x) = 1.25x + 130, the complete table is:

Students, x  0       10        20     30      40      50      60    70

Income, I      0      45        90     135     180    225    270   315

Expenses, E 130  142.5   155    167.5   180   192.5   205  217.5

The graph of the theatre's income and expenses

See attachment

The pattern by which theatre's income and expenses increase

The functions I(x) and E(x) are linear functions.

So, the pattern with which the functions increase is a linear pattern.

The number of students when the theatre's income and expenses are equal

This means that:

I(x) = E(x)

So, we have:

4.5x = 1.25x + 130

Subtract 1.25 from both sides

3.25x = 130

Divide both sides by 3.25

x = 40

Hence, the number of students is 40

The theatre profit

This is the difference between the theatre expenses and their income.

So, we have:

P(x) = E(x) - I(x)

This gives

P(x) = 1.25x + 130 - 4.5x

Simplify

P(x) = 130 - 3.25x

Solution to the inequalities

We have:

E(x) < 255

This gives

1.25x + 130 < 255

Subtract 130 from both sides and divide by 1.25

x < 100 students

Also, we have:

I(x) > 675

This gives

4.5x > 657

Solve for x

x > 146 students

Hence, the number of students for the inequalities are less than 100 and greater than 146

Read more about linear equations and inequalities at:

https://brainly.com/question/11234618

Pam has ridden her new bike 7.2 miles. Dale has ridden his new bike 12.5 times as far as Pam.
How far has Dale ridden his bike? Enter your answer in the box.

Answers

Answer:

He has ridden 90 miles

Step-by-step explanation:

7.2 X 12.5 = 90

A circular pond has a diameter of 12 meters. The radius of the pond is ____ meters.

Answers

Answer:

6 meters

Step-by-step explanation:

radius is half of diameter

Lena got a prepaid debit card with $30 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 19 cents per yard. If after that purchase there was $27.15 left on the card, how many yards if ribbon did lena buy?

Answers

Step-by-step explanation:

To find out how much she spent:

30 - 27.15 = 2.85

Change it to cents:

2.85 x 100 = 285 cents

Calculate how many yards of ribbon she bought:

285 / 19 = 15

Therefore, she bought 15 yard of ribbon.

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