Susan started with a certain number of dollars. She then decided on a number of dollars she would save each day. She added the dollars she saved to the amount with which she started. At the end of day 2, Susan had a total of 20 dollars saved. At the end of day 5, she had a total of 32 dollars saved. How many dollars does Susan start with? Show or explain your work.
Write an equation to model the number of dollars Susan has saved, y, after x days.

Answers

Answer 1

Answer:

Answer:

Susan start with 12 dollars

Equation to model the number of dollars Susan has saved, y, after x days : $4x-y+12=0$

Step-by-step explanation:

Given : She added the dollars she saved to the amount with which she started. At the end of day 2, Susan had a total of 20 dollars saved. At the end of day 5, she had a total of 32 dollars saved.

To Find: How many dollars does Susan start with? Show or explain your work. Write an equation to model the number of dollars Susan has saved, y, after x days.

Solution :

Since At the end of day 2, Susan had a total of 20 dollars saved.

⇒ $(x_(1) ,y_(1))=(2,20)$

At the end of day 5, she had a total of 32 dollars saved.

⇒ $(x_(2) ,y_(2))=(5,32)$

So, using two point slope from find the equation of line

x denotes days

y denotes dollars she saved

$y-y_(1) =(y_(2) - y_(1))/(x_(2)- x_(1))*(x-x_(1))$

$y-20 =(32-20)/(5-2)*(x-2)$

$y-20 =(12)/(3)*(x-2)$

$y-20 =4(x-2)$

$y-20 =4x-8$

$4x-y+12=0$ --a

Thus the equation to model the number of dollars Susan has saved, y, after x days : $4x-y+12=0$

Now to calculate How many dollars does Susan start with?

Put x = 0 in equation a

$4*0-y+12=0$

$y=12$

So,Susan start with 12 dollars

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If tangent alpha equals negative StartFraction 21 Over 20 EndFraction , 90degreesless thanalphaless than180degrees, then find the exact value of each of the following. a. sine StartFraction alpha Over 2 EndFraction b. cosine StartFraction alpha Over 2 EndFraction c. tangent StartFraction alpha Over 2 EndFraction

Answers

Answer:

α= 133.6 degrees

(a)Sin(α/2)=0.9191

(b)cos(α/2)=0.3939

(c)Tan(α/2)=2.3332

Step-by-step explanation:

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=46.4

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I need help with # 8 & # 10 please

Answers

Answer:

8) -0.05 lb/day . . . . or . . . . -1.5 lb/month

10) 43.6%

Step-by-step explanation:

8) Using the given units, the "unit rate" is the rate expressed with a denominator of 1. For rates involving time, usually the time period is in the denominator. That is, we're interested in what happens in a unit of time.

... (change in pressure)/(change in time) = (-1.5 lb)/(30 day) = -0.05 lb/day

You can recognize that 30 days is a month, so we could just change the 30 day period to 1 month. Then the denominator will be 1 unit as desired.

... (change in pressure)/(change in time) = (-1.5 lb)/(1 month) = -1.5 lb/month

(My guess is that this latter solution may not fly.)

___

10) 34/78 × 100% = 43.589743_589743% . . . . a repeating decimal with a 6-digit repeat

... ≈ 43.6%

_____

Comment on unit rates involving time

Sometimes, we're interested in the amount of time to do a task. Then the unit rate is expressed as "time per task", rather than "tasks per time".

In the above problem, we might be interested in the amount of time it takes to lose 1 lb of air pressure. Then the unit rate would be 20 days/lb.

Other kinds of unit rates can be inverted similarly, often for similar reasons.

Help please! I’ll give brainliest!

Answers

the second one down from the top

Which lst of ordered pairs represents solutions to x+y= 2? (4.6), (0, 2), (4, 2) (4,6), (0, 2). (4, 2) (4,-6), (0, 2), (4, 2)

Answers

answer: x+y=2

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Cos²x + sin2x - 1 = 0, 0° ≤ x ≤ 90°, tan x =

Answers

Answer:

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Meera needs 2 3/4 cups of flour for a batch of cookies and 3 1/3 flour for a dozen muffins. How many cups of flour does Meera need altogether? Show work out please ( for brainliest )

Answers

Answer:

6 cups.

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Step-by-step explanation:

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