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vazorg [7]
3 years ago
9

Help me on number problem 4 and 5 please

Mathematics
1 answer:
n200080 [17]3 years ago
7 0

Answer:

4 is decay and 5 is growth

4 has a decay rate of 8 %

5 has a growth rate of 20 %

Step-by-step explanation: The decay rate of 4 is 0.92 and for 5 it is 1.2 It is considered decay if the number with the exponent is less than one because it will decrease the value of y when x or in this case t increase. 5 has a rate of 1.2 and therefore it is growing

.92 *100 = 92

100 - 92 = 8

1.2*100 = 120 - 100 = 20


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Ian and his friends are renting a cabin that charges an initial fee plus a rate per night. The relationship between the cost and
Brut [27]

Answer:

Cost per night: 75

Equation: y = 75x + 50

Step-by-step explanation:

An equation to represent the situation can be written in the slope-intercept form, y = mx + b, where,

m = slope of the graph, which is the rate per night.

b = y-intercept, which is the initial fee. It is the point where the line intercepts the y-axis.

Let's find m, using two points on the line, (2, 200) and (4, 350)

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{350 - 200}{4 - 2} = \frac{150}{2} = 75

✅The cost per night = 75

y-intercept, b, = 50. The line intercepts the y-axis at y = 50, when x = 0.

Substitute m = 75, and b = 50 into y = mx + b.

✅The equation would be:

y = 75x + 50

6 0
3 years ago
PLEASE HELP<br> WILL GIVE BRAINLIEST FOR ANSWER AND EXPLANATION<br> I HAVE A TEST TOMORROW
krok68 [10]
I believe you just plug in the distance formula:
25 =  \sqrt{(y - 4) ^{2}  +  ( - 8 - 2) ^{2}  }
remove the radical by squaring both sides. then remove the exponents. you'll then have
25 = (y - 4) + ( - 8 - 2)
25 = y - 4 - 10
y equals 39. I'm not entirely sure about this. I hope I answered your question correctly
6 0
3 years ago
HELP PLEASE 10 POINTS!!!!!! A country's population in 1993 was 171 million. In 1999 it was 176 million. Estimate the population
Lilit [14]

Let 1993 = time 0 = 0.  

Let 1999 = time 6 = 6  

Let 2012 = time 19 = 19  

So, a = 171 (million). First solve for k.  

176 = 171 e^k6  

176/171 = e^(k*6)  

ln (176/171) = 6k  

k = 1/6 ln (176/171)  

So, in 2012 we have: P(19) = 171 e^(19k), where k = 1/6 ln (176/171)


Hope this helped!

3 0
3 years ago
What equation is graphed in this figure?
zzz [600]

Answer:

c. y + 2 = -3(x - 1)

Step-by-step explanation:

By using a point on the line and the slope, we can determine the equation, in point-slope form, that is graphed in the figure.

Using two points, (1, -2) and (0, 1),

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 -(-2)}{0 - 1} = \frac{3}{-1} = -3

m = -3

Using a point, (1, -2) and the slope (m), we can create an equation for the graph in point-slope form, by substituting x1 = 1, y1 = -2 and m = -3 in y - y_1 = m(x - x_1).

Thus, we would have:

y -(-2) = -3(x - 1)

y + 2 = -3(x - 1)

The equation that is graphed in the figure is:

✔️y + 2 = -3(x - 1)

6 0
3 years ago
Change 80% to a fraction in its lowest terms.​
qaws [65]

Answer:

4/5

Step-by-step explanation:

80%=80/100 then simplify it.

7 0
3 years ago
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