On January 1, Trisha put $100 into a savings account that earns interest. That same day, Mark put some money into another savings account that also earns interest. After 5 years, Trisha’s account balance is 145% of her original balance, and Mark’s is 160% of his original balance. Mark and Trisha withdraw all of their money and use it to spend $225 at the amusement park. If together they have $40 left from their withdrawals after the amusement park, how much did Mark put into his savings account?

Trisha thinks that if Mark also put $100 into his account, then they would had more than $100 left after the amusement park. Is she correct or not? Explain.

Answers

Answer 1

Answer:

Mark deposited $75Trisha is not correct

Step-by-step explanation:

The total of their account balances is equal to the total spent plus the remaining amount. The given relations tell us ...

Trisha withdrew $100 × 145% = $145Mark withdrew d × 160% = 1.6d . . . for some initial deposit d$145 + 1.6d = $225 +40 . . . . . withdrawals = spent + change

__

a.

Solving this equation, we can find Mark's withdrawal and his initial deposit.

  145 +1.6d = 265

  1.6d = 120 . . . . . . . the amount Mark withdrew

  d = 120/1.6 = 75 . . . . the amount Mark deposited

Mark put $75 into his savings account.

__

b.

Had Mark put $100 into his savings account, the total of withdrawals would have been ...

  Trisha + Mark = $100 × 145% +$100 ×160% = $145 +160 = $305

After spending $225 of this amount, they would have had a leftover amount of ...

  $305 -225 = $80

Trisha is not correct in her thinking that there would be more than $100 left over.


Related Questions

(WILL MARK BRAINLIEST!) If a student attends a non-credited high school, or in their case a homeschooling program, will they have to take the SAT/ACTs to be able to attend community college? Please answer explaining how a student such as this can get into college and the requirements they would need.

Answers

Students who will attend community college are not required to take SAT or ACT exams.

Given that,

Standardized test scores should no longer be used as a factor in college admissions because such tests put equity and integrity at stake. Standardized tests, such as the SAT and American College Testing (ACT) are not equitable enough to be used to determine an applicant's status of admission.

Based on the information.

About 130 colleges and universities in California no longer require SAT or ACT tests for admission in fall 2022, according to the Los Angeles Times. After the University of California removed the requirement for test scores for admission in 2020, many other colleges and universities followed.

Therefore, Students who will attend community college are not required to take SAT or ACT exams.

Learn more: https://brainly.com/question/7567975

What is the MAD of these numbers: 52, 65, 63, 48, 52, 53, 60

Answers

Answer: About 5.59

Step-by-step explanation:

        The mean absolute deviation (MAD) is where you subtract the mean from each value, find the absolute value of that value, and then find the average of those values.

        Here is what it looks like.

[Step 1]

        Find the average.

[tex]\displaystyle \frac{52+65+63+48+52+53+60}{7} =\frac{393}{7}=56.14[/tex]

[Step 2]

       Find the absolute value of each data from the mean.

|52 - 56.14| = 4.14

|65 - 56.14| = 8.86

|63 -  56.14| = 6.86

|48 -  56.14| = 8.14

|52 -  56.14| = 4.14

|53 -  56.14| = 3.14

|60 -  56.14| = 3.86

[Step 3]

      Find the average of these values.

[tex]\displaystyle\frac{4.14 + 8.86 + 6.86+8.14+4.14+3.14+3.86}{7} =\frac{39.14}{7}=5.59[/tex]

mrs.eng brought 4 packs of glue sticks. Each packs has 5 glue sticks. Her class uses 2 of the glue sticks for a project.

Answers

Answer:

same as other answer

Step-by-step explanation:

The hypotenuse of a right triangle measures 4 cm and one of its legs measures 3 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.

What is the Pythagorean Theorem?

In a right triangle, where the lengths of its two legs are a and b, and the hypotenuse length is c, the Pythagorean theorem states that: c² = a² + b².

Given the following parameters of the right triangle:

c = 4 cma = 3 cmb = ? (other leg)

Apply the Pythagorean theorem:

b = √(4² - 3²)

b = 2.6 cm (nearest tenth)

Thus, applying the Pythagorean theorem, the measure of the other leg, to the nearest tenth, is: 2.6 cm.

Learn more about Pythagorean theorem on:

https://brainly.com/question/654982

If 700, 300-pound buckets each had x rocks and each rock weighed 0.25 pounds how many pounds are in each bucket

Answers

Answer:

1200

Step-by-step explanation:

buckets can hold 300 ponds so 0.25 divided by 300

i will give yo 20 points

Answers

Answer:

p = [tex]\frac{q-4}{3}[/tex]

Step-by-step explanation:

q - 2p = p + 4

=> p + 2p = q - 4

=> 3p = q - 4

=> [tex]\frac{3p}{3} =\frac{q-4}{3}[/tex]

=> p = [tex]\frac{q - 4}{3}[/tex]

hope this helps!! p.s. i really need brainliest :)

Answer:

p = (q - 4)/ 3.

Step-by-step explanation:

q - 2p = p + 4

q - 2p - p = 4

-3p = 4 - q

p = -(4 - q)/3

p = (q - 4)/ 3

Factor the trinomial completely

3x^2-5x-2

Answers

Answer:

(x − 2)×(3x+1)

Step-by-step explanation:

We can use this method:

[tex]\begin{aligned}3 x^{2}-5 x-2 &=3 x^{2}-5 x-x+x-2 \\\\&=3 x^{2}-6 x+x-2 \\\\&=3 x \cdot(x-2)+(x-2) \\\\&=(x-2)(3 x+1)\end{aligned}[/tex]

All I did is Subtracting x then adding x which will not affect the result because  -x + x = 0

Find the surface area of this figure.

Answers

Answer:

760 in^2

Step-by-step explanation:

2(22*10)+2(22*5)+2(5*10) = 760in^2

Is the quotient of 3 and 1/4 greater than or less than 3?

Answers

Answer:

Greater than

Step-by-step explanation:

The quotient of 3 and 1/4 would be 3/(1/4).

You could then multiply by the inverse of 1/4 to simplify the expression. This would give you [tex]3*\frac{4}{1}[/tex] or just 3 times 4. 3 * 4 = 12.

Since 12 is greater than 3, the quotient of 4 and 1/4 is greater than 3.

5
Select ALL the correct answers.
Observe the expression below and select the true statement(s).
41 + 9 – y(61 + 7)
The x in the first term is an exponent.
3
The "9" in the second term is a constant.
The "y in the third term is a factor.
The "6" in the third term is a coefficient.
The "4" in the first term is a constant.

Answers

The "x" in the first term is an exponent.The "y" in the third term is a factor.The "6" in the third term is a coefficient.The "7" in the third term is a coefficient.

help please i been stuck on this question for the last hour im on the verge of tears

Answers

Answer:

1/2

Step-by-step explanation:

It appears to be 1/2 because the areas labeled "parrots" and "sparrows" takes up half of the pie chart. hope this helped!

Answer: the answer is 1 over 2 as a fraction

Step-by-step explanation:

Is anyone good at math and can help me solve my math problems

Answers

Answer:

Hi! I'm not too bad at math so I hope I can help you. Except, I can't seem to find your question so please comment your question(s) to me so that I can help you. Have a great day:)

Write the following in scientific notation?
(Math 8th)

Answers

Answer:

the answer is 3.25 x 10^-4

Step-by-step explanation:

classfiy the raletionship between 7 and 2.

Answers

Answer:

they are both prime numbers

have a nice day

Hi.

The answer is below.

What do 2 and 7 have in common?Both prime numbersBoth can get to certain numbers.

2 and 7 can both get to..14

So, this is what they have in common.

#LearningWithBrainly

~NatLikesAnime!

Donal buys a 1/4 pound package of cheese. There are 8 slices of cheese in the package. Each slice has the same wieght. What fraction of a pound is each slice?

Answers

Answer:

1/32  lb per slice

Step-by-step explanation:

We want the pounds per slice, or lb/slice.

We have 0.25 lbs and 8 slices, so:  (0.25 lb/8 slices)

(0.25 lb/8 slices) = (1/8)(0.25)

(1/8)(0.25)(4/4) = 1/32 lb per slice

Check:

(8 slices)*(1/32 lb/slice) = 8/32 lb

8/32 = 1/4 lb total  YES

how do you do this???

Answers

Answer:

i think itd -4 * x which is -4x and you do -4*3 which is -12 so its -4x+-12=8 and then you add 12 to both sides so -12+12 will cancel and then 8+12=20 so its -4x=20 and the answer would be X= -5

Step-by-step explanation:

Can I please have brainliest

A circle that has (-2,4) and (4,2) as endpoints of a diameter.

Use the given information to write the standard equation of the circle.

I WILL MARK BRAINLIEST IF YOU GIVE ME THE CORRECT ANSWER!

Answers

Answer:

[tex]\implies (x-1)^2+(y-3)^2=10[/tex]

Step-by-step explanation:

End points of the diameter of the circle are:

[tex](-2,\:4) \implies x_1= -2, \: y_1= 4[/tex]

[tex](4,\:2) \implies x_2= 4, \: y_2= 2[/tex]

Equation of circle in diameter form is given as:

[tex](x-x_1)(x-x_2)+(y-y_1)(y-y_2)=0[/tex]

Plugging in the values of [tex]x_1, \: y_1,\:x_2, \: y_2[/tex] in the above equation, we find:

[tex][x-(-2)](x-4)+(y-4)(y-2)=0[/tex]

[tex]\implies (x+2)(x-4)+(y-4)(y-2)=0[/tex]

[tex]\implies x^2-2x-8+y^2-6y+8=0[/tex]

[tex]\implies x^2-2x+1-9+y^2-6y+9-1=0[/tex]

[tex]\implies (x^2-2x+1)-9+(y^2-6y+9)-1=0[/tex]

[tex]\implies (x-1)^2+(y-3)^2-10=0[/tex]

[tex]\implies (x-1)^2+(y-3)^2=10[/tex]

This is the required equation of circle in standard form.

Which of the following tables does NOT show a proportional relationship?

A

B

C

D

Answers

Answer:

A

Step-by-step explanation:

Hey there!

In this question, it is asking us what table doesn't have a proportional relationship

In table A, there is no seen relation ship between the numbers, columns, or rows

In all of the other tables, the numbers in each column is increasing by a number again and again meaning A is the incorrect table.

Answer:

A i believe

Step-by-step explanation:

Its not B because it is proportional by 0.6666666

Its not C because it is proportional by 3

It not D because its proportional by 1.33333333

Please mark as brainliest

Help someone out pls!

Answers

Answer: the answer is D

Step-by-step explanation:V = pi (d/2)^2  *  h

V =  pi  (d^2  / 4)   * h

 h =  4V  /  ( pi  * d^2)       (meters) 

7. Which expressions represent the total area of the
large rectangle? Select all that apply.
A. 6(m+n
B. 6n + m
С. 6n + 6т
D. Omn
E. (n + m)6

Answers

Answer:

D.

Step-by-step explanation:

Not for sure sorry but i think its D or A so so sorry

Suppose that a simple random sample of n = 6 individuals is obtained from a population that is skewed right with mean = 39 and standard deviation o = 2

-

(a) The shape of the sampling distribution of the sample mean is approximately normal Is this true or false?

(b) What is the mean of the sampling distribution of the sample mean?

(c) What is the standard deviation of the sampling distribution of the sample mean?

Answers

The shape is not normal since the sample size (6) is less than 30.

The mean and standard deviation of the sample distribution is 39, and 0.82 repectively

What is a normal distribution?

The normal distribution is a distribution that is symmetric about the mean and has a bell shaped curve.

Given that

n = 6, mean = 39 and standard deviation o = 2.

Hence:

The shape is not normal since the sample size (6) is less than 30.

The mean of the sample distribution = 39, the standard deviation of the sample distribution = 2/√6 = 0.82

Find out more on normal distribution at: https://brainly.com/question/4079902


Kelsey's class took a field trip to the art museum. They left school at 7:40 A.M. It took them
40 minutes to drive to the museum. They stayed at the museum for 1 hour and 15 minutes.
What time was it when Kelsey's class left the museum?

Answers

Answer:

9:35 am

Step-by-step explanation:

7:40 am

+ 40 minutes

7:80

:60 = + 1

:80 - :60 = +:20

8:20

1 hour and 15 minutes =

+ 1 hour =

9:20

+ 15 minutes

9:35 am

Find the area of the shape below
11 ft
7 ft
10 ft
8 ft
2 ft

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Area of whole shape = Area of greater rectangle - area of smaller rectangle

Area of greater rectangle :

[tex]\qquad \sf  \dashrightarrow \:11 \times 10[/tex]

[tex]\qquad \sf  \dashrightarrow \:110 \: \: ft {}^{2} [/tex]

Area of smaller rectangle :

[tex]\qquad \sf  \dashrightarrow \:7 \times 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:56 \: \: ft {}^{2} [/tex]

Area of composite figure :

[tex]\qquad \sf  \dashrightarrow \:110 \: ft {}^{2} - 56 \: ft {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:54 \: {ft}^{2} [/tex]

Henry sang 12 songs every song was 3/8 minutes long. For how much time did he sing in total?​

Answers

Answer:

4.5 minutes or 36/8 minutes or 9/2 minutes

Step-by-step explanation:

So we simply find 3/8 of 12 by multiplying:

[tex]\frac{3}8} \times 12[/tex]

This gives us 36/ 8

Now, depending on how you want your answer formulated, we just reduce it to either 9/2 minutes, or 4.5 minutes.

Hope this helpss!!!

1. Jack pulls a sled across a frozen pond. The force he pulls with is 30 newtons and he does 4500 joules of work to get the sled across the pond. How far does he pull the sled?​

Answers

Answer:

150m

Step-by-step explanation:

work = force x distance

w=fd

d=w/f

d= 4500/30 = 150

A cottage has a gable roof. To the nearest foot, how wide is the cottage?

Answers

I think the answer is 20

Please Help Meeeee!!! Will Mark Brainliest!!!

Answers

Answer:

Part A: Yes. For every 10 employees, an increase of 80 products produced.

Part B: y = 8x + 120

Part C: Y-intercept indicates the number of products produced when there are 0 employees. The slope indicates the rate of increase of production with the number of employees

Step-by-step explanation:

Part A: 80 - 0 = 80 employees; 760 - 120 = 640 products. Therefore, 640/80 = 8 products per employee or 80 products per 10 employees

Part B: For y = mx + c ,

m = (Y1 - Y0)/(X1 - X0) = (760 - 120)/(80 - 0) = 8

c = Y-intercept, when X = 0. Therefore c = 120

PLEASE HELP! PLEASE HELP! I NEED TO GET THIS RIGHT! PLEASE ANSWER FULLY!

Answers

Answer:

15 mph

Step-by-step explanation:

How to do the sum
25 cm 25 mm = --------------------m

pls give the ans with explanation

Answers

Answer:

Step-by-step explanation:

100 cm = 1 m

25 cm =  25 ÷ 100 = 0.25 m

1000mm = 1m

25 mm  = 25 ÷ 1000 = 0.025

0.250   +

0.025

0.275

25 cm 25 mm = 0.275 m

M= 100cm M=1000mm

25cm = .25m 25mm = .025m

.275m

Pls someone do this its on test

Answers

Answer:

they get  a 7/24th piece of cake.

Step-by-step explanation:

if we divide 3 1/2 by 12 we get 7/24

we use the 3 1/2 because that is how many cakes there are.
we use 12 because there are 12 boys that want to split the cake equally.

Other Questions
Which of the following is true of theme?There can only be one theme in a story. Theme is developed during the climax typically. There are only one or two standard themes in fiction. Theme is typically unrelated to the character's actions.Thank you! Choose the statement that would be a commonplace assertion for this claim: road to glory is a skateboader's paradise. Select the expression that is equal to 3(7+x)13x21+4x21+3x10+3x10+4xI don't know Raccoon sat on the beach eating his potato. before each bite, he dipped the potato into the water. Monkey watched him from his perch in the tree and wondered about this curious habit. what kind of genre is this? please help asap tysm what the symbol of sodium peroxide find the area of the circle.diameter=8 inches I need help with this, question is in image. The length of a rectangle is six times its width.If the perimeter of the rectangle is 84 in, find its area. 4. Give Hamba violence advice on how to improve their campaign. Motivate your suggestions, (4) Triangle PRQ was transformed to create triangle P'R'Q'. if point P started at coordinates (6,-54), and became point P' at coordinates (-6,-54), describe the transformation that was applied to triangle PRQ. Approximately how manyyears would it take for aninvestment of $1,000 to growto $1,500 with a simpleinterest rate of 8%? If 100 grams of water evaporated into a gas, how much mass will the gas have? Max went to a shopping mall with $35 in his wallet. He spent two fifths of the money he had in his wallet at the bookstore. How much money, in dollars, did he have left? $21 $26 $10 $13 How are fluids used and controlled in manufactured devices? In the context of this section of the Republican Party platform, explain how the action to increase transparency and accountability described in part A would affect the Federal Reserves ability to make economic policy. During the war, new roles in the workforce were created for women because:. Does anyone know what this is? PLEASE HURRY 17 divided into 3,536 Explain symbiotic relationship with examples. How can someone today relate to everyman? (It's a play)