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nasty-shy [4]
3 years ago
10

Clayton has $500 in his retirement account, and Jason has $400 in his. Clayton is adding $10 per day, whereas Jason is contribut

ing $12 per day. Eventually, the two accounts will contain the same amount. What balance will each account have?
Mathematics
1 answer:
daser333 [38]3 years ago
6 0

Answer:

$1000

Step-by-step explanation:

We can form an equation for Clayton's account: C = 500 + 10x

We can form an equation for Clayton's account:  J = 400 +12x  

(where x is the number of days)

When the two accounts will contain the same amount, it means: C = J

<=> 500 + 10x  = 400 +12x  

<=> x =50

After 50 days, there accounts will be balance. Then, we substitue x into any of the 2 equation to find out the amount: 500 + 10(50) = $1000

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A model rocket is launched with an initial upward velocity of 60 m/s. The rocket's height h (in meters) after t seconds is given
Vedmedyk [2.9K]

Answer:

0.47 and 11.53

Step-by-step explanation:

h = 60t − 5t²

27 = 60t − 5t²

5t² − 60t + 27 = 0

Quadratic formula:

x = [ -b ± √(b² − 4ac) ] / 2a

t = [ -(-60) ± √((-60)² − 4(5)(27)) ] / 2(5)

t = (60 ± √3060) / 10

t = 0.47 or 11.53

3 0
3 years ago
Solve the following system of equations using the SUBSTITUTION method. Show all your work! x = 2y + 1 x + y = 4
Alexxandr [17]

Answer:

Step-by-step explanation:

4x+y=14

x-2y=8

then;

x=8-2y

substitute;

4(8-2y)+8-2y=14

32-8y+8-2y=14

40-10y=14

26=10y

y=2.6 , work out 4x+2.6=14 to get x

3 0
3 years ago
A light bulb in Maya's house uses 9.4 watts of electric power each minute it is on. If the light bulb used a total of 6.58 watts
tamaranim1 [39]

Answer:

0.7 minute

Step-by-step explanation:

Given that each (1)  minute a light use 9.4 watts.

So If the light bulb used a total of 6.58 watts, the minutes was on it is:

\frac{The total watts used}{The watts used each minute}

= \frac{6.58}{9.4}

= 0.7 minute

So the the minutes was on it is 0.7

Hope it will find you well!

4 0
3 years ago
9. Michelle likes chocolate but it causes acne. She chooses to limit herself to three chocolate bars every 5 days. (So, she eats
OverLord2011 [107]

Answer:

Arithmetic

An = A[n - 1] + 3/5

An = 3/5[n]

Step-by-step explanation:

Number of days = 5

Number of chocolate = 3

Computation:

Recursive:

Number of chocolate eat per day = 3/5

So,

First term a1 = 3/5

So,

An = A[n - 1] + 3/5

Explicit:​

An = 3/5 + 3/5[n-1]

An = 3/5[n]

4 0
3 years ago
Find the value of n and yz if y is between x and z. xy = 4n 3. yz = 2n-7, xz = 20 yz = need help with this question?
Helga [31]

The value of n is 4 and yz is 1 if y is between x and z i.e. if y, x and z are collinear points.

According to the given question.

We have some linear equations.

xy = 4n + 3

yz = 2n - 7

and

xz = 20

Since, y is between x and z. Which means y, x and z are collinear points.

Therefore,

xy + yz = xz

⇒ 4n + 3 + 2n - 7 = 20

⇒ 6n -4 = 20

⇒ 6n = 20 + 4

⇒ 6n = 24

⇒ n = 24/6

⇒ n = 4

Therefore,

yz = 2n - 7 = 2(4) - 7 = 8- 7 = 1

Hence, the value of n is 4 and yz is 1 if y is between x and z i.e. if y, x and z are collinear points.

Find out more information about collinear points here:

brainly.com/question/1593959

#SPJ4

3 0
2 years ago
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