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zhenek [66]
3 years ago
14

Cory has 15 die-cast cars in his collection. Each year his collection increases by 20%. Roger has 40 cars in his collection. Eac

h year he collects 1 additional car.
Part A: Write functions to represent Cory and Roger's collections throughout the years.
Part B: How many cars does Cory have after 6 years? How many does Roger have after the same number of years?
Part C: After approximately how many years is the number of cars that Cory and Roger have the same? Justify your answer mathematically.
Mathematics
1 answer:
Bumek [7]3 years ago
5 0
A. Cory is y=15+0.2x Roger is y=40+x
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What is the slope of the line that passes through the points (-1,-7) and (1, -13)? Write your answer in simplest form.
mestny [16]

Answer:

Slope = 0

Explanation:

m= (−7) − (−7) / (−13) − (−1) = 0

(x1,y1)=(−1,−7) and (x2,y2)=(−13,−7). Since y1=y2 therefore this line is parallel to x-axis. Hence slope is zero.

3 0
2 years ago
The function f(x) = x2 is transformed to obtain the graph of the related function g(x) using a vertical stretch by a factor of 3
timofeeve [1]

Answer:

y = \frac{1}{3} x^2

Step-by-step explanation:

Vertical stretch = widens graph

Factor = multiply by \frac{1}{3}

FINAL RESULT: y = \frac{1}{3} x^2

Hope this helps!

3 0
2 years ago
Congruent triangles are always similar
Thepotemich [5.8K]
Exactly the same three sides and

exactly the same three angles

8 0
3 years ago
The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0
dedylja [7]

Answer:  a) 0.8413, b) 0.9987.

Step-by-step explanation:

Since we have given that

Mean = 3 pounds

Standard deviation = 0.25 pounds

n = 28 bricks

So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?

P(X>2.75)\\\\=P(z>\dfrac{2.75-3}{0.25}\\\\=P(z>\dfrac{-0.25}{0.25})\\\\=P(z>-1)\\\\=0.8413

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

P(X>3.75)\\\\=P(z>\dfrac{3.75-3}{0.25})\\\\=P(z>\dfrac{0.75}{0.25})\\\\=P(z>3)\\\\=0.9987

Hence, a) 0.8413, b) 0.9987.

4 0
3 years ago
Please help!!
bogdanovich [222]

Answer:

Rent in 10th year = $5345.90

Step-by-step explanation:

Rent of apartment during first year = $1800 per month

But growth in rent with 11.5% per year will be represented by the exponential function,

Rent in 't'th year = \text{Initial rent}(1+\frac{\text{Growth rate}}{100})^{\text{time}}

                          = 1800(1+\frac{11.5}{100})^t

                          = 1800(1.115)^t

Therefore, rent during 10th year will be,

Rent in 10th year = 1800(1.115)^{10}

                            = $5345.90

3 0
3 years ago
Read 2 more answers
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