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
Rina8888 [55]
3 years ago
7

Gia receives an allowance of $2 a week and already has $20 in savings. Michael receives an allowance of $3 a week and already ha

s $5 in savings. Gia and Michael both save their entire allowance. After how many weeks, will Gia and Michael have the same amount in savings? How much money will they have?
Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

Answer:

After 15 weeks, Gia and Micheal will both have $50 in savings.

Step-by-step explanation:

For Gia:

We start at $20 since she already has $20 in savings, we will add that to how much Gia will receive in 15 weeks.

Gia receives $2 a week and therefore in 15 weeks she will have $50.

= 2x15 = $30

= 30+20 =  $50

For Micheal:

We start at $5 since he already has $5 in savings, we will add that to how much Micheal will receive in 15 weeks.

Micheal receives $3 a week and therefore in 15 weeks he will receive $50

= 3x15 = $45

= 5+45 = $50

You might be interested in
Find the explicit formula for the sequence: 2,5,8,11,14
gizmo_the_mogwai [7]

Step-by-step explanation:

Given sequence is: 2,5,8,11,14

Here first term a = 2

Common Difference d = 3

\because \:  t_n = a +(n-1) d \\  \\  \therefore \: t_n = 2+(n-1) 3 \\  \\ \therefore \: t_n = 2+3n- 3 \\  \\  \huge \purple{ \boxed{\therefore \: t_n = 3n- 1}} \\  is \: the \: required \: explicit \: formula\\

4 0
2 years ago
Which of the following rational numbers is equal
mart [117]

where are the numbers am not seeing them

4 0
3 years ago
How to solve Y=1/2X+2
Oxana [17]
<span>x-intercept is when y = 0

0 = -1/2x - 2
1/2x = -2
x = -4
x-intercept = (-4,0)

y-intercept is when x = 0

y = -1/2(0) - 2
y = -2
y-intercept = (0, -2)
(note that in the form y = mx+b, b is the y-intercept, so in y = -1/2x - 2, -2 is the y-intercept)

Now to graph, simply plot these two points (-4, 0) and (0, -2) and draw a line between them.

Best of luck!</span>
8 0
3 years ago
Is 9/50 a term in the geometric series
Irina18 [472]

Answer:

no

Step-by-step explanation:

4 0
3 years ago
Write the given second order equation as its equivalent system of first order equations. u′′−5u′−4u=1.5sin(3t),u(1)=1,u′(1)=2.5
lakkis [162]

Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer:  v = 5v + 4u + 1.5sin(3t),

  • 0
  • 1
  •  4
  • 5
  • 0
  • 1.5sin(3t)
  • 1
  •  2.5

Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t)        where u'(1) = 2.5   u(1) = 1

v represents the "velocity function"   i.e   v = u'(t)

As v = u'(t)

<em>u' = v</em>

since <em>u' = v </em>

v' = u"

v'  = 5u' + 4u + 1.5sin(3t)   ( given that u" - 5u' - 4u = 1.5sin(3t) )

    = 5v + 4u + 1.5sin(3t)  ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt \left[\begin{array}{ccc}u&\\v&\\\end{array}\right]= \left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]  \left[\begin{array}{ccc}u&\\v&\\\end{array}\right] + \left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]  = \left[\begin{array}{ccc}1\\2.5\\\end{array}\right]

7 0
2 years ago
Other questions:
  • What is the value of x? Enter your answer in the box.
    7·1 answer
  • -3x -4.6 = 5.9<br> x = ?
    12·2 answers
  • Which numbers belong to the sloution set of the ineqaulity?<br>5x&lt;55​
    15·1 answer
  • How do you write out x &lt;=-4
    15·1 answer
  • Ab-.5b when a= 1 and b= 5
    13·1 answer
  • 3. For what value of x is the equation 22x+?= 215 true?<br> B.<br> 4<br> C. 11<br> D. 16<br> E. 44
    11·1 answer
  • 1. If f(x) = 6x + 13x + 2x - 5 and f(-1) = 0, find the<br>factors of f(x)​
    9·1 answer
  • Express
    11·1 answer
  • Simplify (3 + 6i) – (8 - 5i)<br> Select one:<br> a, -5 + i<br> b. 6<br> C. 16<br> d. -5 + 11i
    14·2 answers
  • 12c : 48c simplest form
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!