Find the equation in slope-intercept form for the line

As a computer technician, Andre makes $20 per hour to diagnose a problem and $25 per hour to fix a problem. He works fewer than

irinina [24]

For
ax+by=c
the slope is -a/b
20x+25y≥200
slope=-20/25=-4/5
negative slope

yint is where x=0
20(0)+25y≥200
25y≥200
y≥98
positive yint

x+y<10
slope=-1/1=-1
yint is where x=0
y<10
yint is at y=10

since it is equal, it is solid line
to tell if it is above then sub (0,0) and see if true
0≥200
false
shade on side that doesn't have (0,0), shade above line

x+y<10 doesn't have equal under so it is dashed
test (0,0)
0<10
true, it is shaded below

test point (4,5)

20(4)+25(5)≥200
80+125≥200
225≥200
true

4+5<10
9<10
true

so the ones that are true are

The line x + y < 10 has a negative slope and a positive y-intercept.
The line representing 20x + 25y ≥ 200 is solid and the graph is shaded above the line.
The overlapping region contains the point (4, 5).

3 0

2 years ago

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Jenny bought a new car for $25,995. The value of the car depreciates by 16 percent each year. Which type of function could model

motikmotik

Answer: The answer is expensive the car is expensive. JK the answer is c. you can eliminate a and d because the 16 % a year increase so your left with c and b it's not b because of the price so your best answer would have to be c

hoped this helped lol have a good day

6 0

2 years ago

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The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a stand

julsineya [31]

Answer:

There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X.

Also, a probability is unusual if it is lesser than 5%. If it is unusual, it is surprising.

In this problem:

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a standard deviation of 3 minutes, so $\mu = 7, \sigma = 3$ .

We need to find the probability that it takes less than one minute to find a parking space.

So we need to find the pvalue of Z when $X = 1$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1 - 7}{3}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228.

There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.

5 0

2 years ago

Which relationships have the same constant of proportionality between yyy and xxx as the equation y=\dfrac{5}{2}xy= 2 5 xy, eq

LUCKY_DIMON [66]

Answer:

$8y = 20x$

Step-by-step explanation:

Given

$y=\dfrac{5}{2}x$

Required

Determine equivalent expressions

A. 5y = 2x

$y=\dfrac{5}{2}x$

Multiply through by 5

$5 * y=\dfrac{5}{2}x * 5$

$5y=\dfrac{25}{2}x$

This is not equivalent

B. 8y = 20x

$y=\dfrac{5}{2}x$

Multiply both sides by 8

$8 *y=\dfrac{5}{2}x * 8$

$8y=\dfrac{5 * 8}{2}x$

$8y=\dfrac{40}{2}x$

$8y = 20x$

The other options are not clear.

However, another possible relationship is when

$y=\dfrac{5}{2}x$ is cross multiplied

This gives:

$2y = 5x$

5 0

2 years ago

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Calvin deposits $400 in a savings account that accrues 5% interest compounded monthly. after c years, calvin has $658.80. makayl

vodomira [7]

You will need a special formula to compute this.
Years = log (total/principal) / [n * log * (1 + rate / n)]

Part A) Calvin $400 5% monthly 658.80 Time = ?
Monthly compounding "n" = 12
Years = log(658.80/400) / [12 * log(1+ (.05/n))
Years = log ( 1.647 ) / (12 * log ( 1.0041666667 )
Years = 0.21669359917 / 12 * 0.0018058008777
Years = 0.21669359917 / 0.0216696105 
Years = 9.999884362 


Part B) Makayla 300 6% quarterly 613.04Time=?
Quarterly compounding
n = 4
Years = log (total/principal) / [n * log * (1 + rate / n)]
Years = log (613.04/300) / [4 * log (1 + .06/4)]
Years = log ( 2.0434666667 ) / 4 * log (1.015)
Years = 0.31036755784 / 4 * 0.0064660422492
Years = 0.31036755784 / 0.025864169 
Years = 11.9999044949 

So, the difference is roughly 3 years.

3 0

2 years ago

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