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
Alenkinab [10]
3 years ago
12

Paul has $145 in his savings account. He earns $36 a week mowing lawns. If Paul saves all of his earnings, after how many weeks

will he have no more than $450 saved?
Mathematics
2 answers:
Lemur [1.5K]3 years ago
8 0

Answer:

Paul will have no more than $ 450 in next 8 weeks.

Step-by-step explanation:

From the information given on statement, we know that Paul saves all of his earnings weekly. Then, the money save is equal to the sum of initial amount (C_{o}), measured in monetary units, and week earning (R), measured in monetary units, multiplied by a number of weeks (n), dimensionless:

C =C_{o} + n\cdot R (1)

Now we clear the number of weeks within the formula:

n = \frac{C-C_{o}}{R}

If we know that C_{o} = \$\,145, C = \$\,450 and R = \$\,36, then the number of weeks is:

n = \frac{\$\,450-\$\,145}{\$\,36}

n = 8.472

Paul will have no more than $ 450 in next 8 weeks.

Luda [366]3 years ago
3 0

Answer:

Paul will have no more than $ 450 in next 8 weeks.

Step-by-step explanation:

You might be interested in
Find the missing number in the pattern:
zhenek [66]

Answer:

The pattern is that they are multiplying by -3 every time. 81*-3 = -243

4 0
2 years ago
Write in mx+b form: a line with a slope of -3 that passes through the points (15,-50)
gayaneshka [121]

Answer:

y=-3x-5

Step-by-step explanation:

the picture below is how i did it

8 0
2 years ago
A volleyball reaches its maximum of 13 feet, 3 seconds after it is served. What quadratic formula could model the height of the
Katena32 [7]

Answer:

H=-(t-3)^2+13

Step-by-step explanation:

The path covered by the volleyball will be a downward parabola with the vertex being the highest point of the ball.

A general form of a downward parabola is given as:

y=-a(x-h)^2+k

Where (h,k) is the vertex of the parabola and 'a' is a constant.

Now, let 'h' be the vertical height and 't' be the time taken.

So, the equation would be of the form:

H=-a(t-h)^2+k

Now, as per question:

h = 2 seconds, k = 13 feet.

H=-a(t-3)^2+13

Now, taking a = 1. So, the formula that can be used is:

H=-(t-3)^2+13

7 0
3 years ago
A = {1, 2, 5, 7} B = {3, 4, 6, 7} C = {0, 5, 8, 9} Find B U C.
drek231 [11]

BUC ={0,3,4,5,67,89}

I hope it will be answer of your question

3 0
2 years ago
Read 2 more answers
You have a total of ​$1760 to invest. Account A pays 7​% annual interest and account B pays 4​% annual interest. How much should
posledela

Answer:

You should invest $820 in account A and $940 in account B

Step-by-step explanation:

* Lets use the system of linear equations to solve the problem

- Simple Interest Equation I = Prt , Where:

# P = Invested Amount

# I = Interest Amount

# r = Rate of Interest per year in decimal; r = R/100

# t = Time Period involved in months or years

* Lets solve the problem

- The total money invested is $1760

- Account A pays 7​% annual interest

- Account B pays 4​% annual interest

- Let A represent the amount of money invested in the account A

- Let B represent the amount of money invested in the account B

- You would like to earn $ 95 at the end of one year

∴ The interest from both accounts at the end of one year is $95

- Lets write the equations

# Account A :

∵ Account A has $A invested

∴ P = $A

∵ Account A pays 7​% annual interest

∴ r = 7/100 = 0.07

∵ t = 1 year

∵ I = Prt

∴ I = A(0.07)(1) = 0.07A

# Account B :

∵ Account B has $B invested

∴ P = $B

∵ Account A pays 4​% annual interest

∴ r = 4/100 = 0.04

∵ t = 1 year

∵ I = Prt

∴ I = B(0.04)(1) = 0.04B

- The total amount of interest from both accounts at the end of one

  year is $95

∴ I from A + I from B = 95

∴ 0.07A + 0.04B = 95 ⇒ multiply both sides by 100

∴ 7A + 4B = 9500 ⇒ (1)

- The total money to invest in both accounts is $1760

∵ Account A has $A invested

∵ Account B has $B invested

∴ A + B = 1760 ⇒ (2)

* Lets solve the system of equations to find the amount of money

  invested in each account

- Multiply equation (2) by -4 to eliminate B

∵ A + B = 1760 ⇒ × -4

∴ -4A - 4B = -7040 ⇒ (3)

- Add equation (1) and (3)

∵ 7A + 4B = 9500 ⇒ (1)

∵ -4A - 4B = -7040 ⇒ (3)

∴ 7A - 4A = 9500 - 7040

∴ 3A = 2460 ⇒ divide both side by 3

∴ A = 820

- Substitute the value of A in equation (1) or (2)

∵ A + B = 1760 ⇒ (2)

∴ 820 + B = 1760 ⇒ subtract 820 from both sides

∴ B = 940

- From all above

* You should invest $820 in account A and $940 in account B

6 0
2 years ago
Other questions:
  • Can you write this equation in point-slope form?<br><br> y = ½x + 4?
    12·1 answer
  • A marketing research company needs to estimate which of two medical plans its employees prefer. A random sample of n employees p
    8·1 answer
  • What sets does radical 12 belong to
    15·1 answer
  • Write a quadratic equation having the given solutions. 10,-6
    8·1 answer
  • 5+5 you get 52 points for answering this question
    5·1 answer
  • PLZZ HELP!!!!!!!!!!!!!!!!!! ASKED QUESTION ALREADY BUT ANSWER WAS NOT IN SELECTION
    9·1 answer
  • George and Francis are studying for a math test. They are each trying to find the product below.
    8·2 answers
  • What should I do ?? how do I do it
    11·2 answers
  • A new 54 inch flatscreen TV cost $1245 at Best Buy. If Harry has a 15% off coupon what will he pay for the TV
    10·1 answer
  • Please help thank you
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!