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Yanka [14]
3 years ago
11

Please help and answer the question -Will give Brainliest

Mathematics
1 answer:
artcher [175]3 years ago
3 0
<h3>Part A</h3>

Each year, the number of cars in Cory's collection (c) increases by a factor of 1.2. After t years, it will be multiplied by that factor "t" times, so the number of cars will be ...

... c(t) = 15·1.2^t

Each year, the number of cars in Roger's collection (r) increases by 1. After t years, it will have increased by t.

... r(t) = 40 +t

<h3>Part B</h3>

c(6) = 15·1.2^6 ≈ 44.79 ≈ 45 . . . Cory's cars after 6 years

r(6) = 40 +6 = 46 . . . Roger's cars after 6 years

<h3>Part C</h3>

The number of cars is very nearly the same after 6 years. A short time into the 7th year, the number of cars will be the same. A graph shows the number of cars will be the same after about 6 years and 2 months.

There are no algebraic methods to solve the equation

... r(t) = c(t)

... 45 +t = 15·1.2^t

It can be solved by trial and error, or graphically, or by other iterative means. The solution is not an integer, but non-integer numbers of cars don't make sense. It isn't exactly clear what a solution would look like.

year 6: Cory ≈ 45 cars; Roger = 46 cars

year 7: Cory ≈ 54 cars; Roger = 47 cars

Between year 6 and year 7 (closer to the beginning of year 7), Cory will have 46 cars, about the same number Roger has at that time.

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For the family picnic, Dana's mom buys a box of 12 forks, a box of 18 spoons, and a box of 24 knives. How many boxes of each wil
SOVA2 [1]

Answer:

72

Step-by-step explanation:

This is assuming the following:

1) fork boxes comes with 12 count.

2) spoon boxes comes in 18 count.

3) knife boxes comes in 24 count.

Find the least common factor:

12: 12, 24, 36, 48, 60, 72

18: 18, 36, 54, 72

24: 24, 48, 72

72 is the least common factor shared by all these numbers.

~

3 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP
Vlad [161]

Answer:

  1 : 6 . . . . or 1/6

Step-by-step explanation:

We know 1 foot is 12 inches, so 5 feet is 5·12 = 60 inches. Zachary's scale factor is ...

  drawing size : actual size = 10 inches : 60 inches = 1 : 6

This can also be written as the fraction 1/6.

5 0
3 years ago
Identify the volume of a cone with base area 64π m2 and a height 4 m less than 3 times the radius, rounded to the nearest tenth.
melomori [17]
V=basearea times 1/3 times height
basearea=6<span>4π m2
hmm, they try to make it difficult

basearea=circle=pir^2
pir^2=64pi
divide by pi
r^2=64
sqrt
r=9

h is 4 les than 3 time r
h=-4+3(8)
h=-4+24
h=20

v=1/3*64pi*20=1280pi/3 m^3=1350.4

C
</span>
4 0
3 years ago
How do you do the equation 3.25 divided by 5.2
valentina_108 [34]
3.25\ divided\ by\ 5.2= \frac{3.25}{5.2} =\frac{3.25\cdot 20}{5.2\cdot20} =\frac{65}{104} =\frac{65:13}{104:13} = \frac{5}{8} =0.625\\\\Ans.\ 0.625
5 0
3 years ago
Which ordered pair describes a point with a location in the first quadrant of a coordinate plane?
Serga [27]

Answer:

(3, 2)

Step-by-step explanation:

7 0
3 years ago
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