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dem82 [27]
3 years ago
9

Shaun's savings can be modeled by the regression equation y = 6x^2 + 75x+200. Which of the following is the best prediction for

the amount he will have saved after 25 months?
A. $3,791
B. $4,754
C. $2,936
D. $5,825
Mathematics
1 answer:
Zolol [24]3 years ago
7 0

Answer:

D

Step-by-step explanation:

The equation given gives y in terms of x, where y is Shaun's savings and x is the number of months.

<em>We want to know the amount he will save in 25 months, so we can plug in x = 25 into the equation and get a value of y, that is the amount he will save. So:</em>

y = 6x^2 + 75x+200\\y = 6(25)^2 + 75(25)+200\\y=5825

D is the correct answer.

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Carson has two cans of red paint. The first can contains 3 pints of red paint. The second can contains 4 16 pints of red paint.
allsm [11]

Answer: 1⁵/₈ pints

Step-by-step explanation:

First can contained 3¹/₄ pints and second can contained 6¹/₂.

To make them equal, first find the different;

= 6¹/₂ - 3¹/₄

= 6.5 - 3.25

= 3.25

Divide this difference by 2;

= 3.25/2

= 1.625

= 1⁶²⁵/₁₀₀₀

= 1⁵/₈ pints

If Carson pours 1⁵/₈ pints from the second Can, it would increase the first can to 4⁷/₈ pints whilst reducing the second can to 4⁷/₈ pints as well.

8 0
2 years ago
Could someone please help me answer both questions!
Nady [450]

Answer:

1. m = 2n

2. m = 3n + 1

Step-by-step explanation:

1. 8 = 4 * 2; 10 = 5 * 2; 18 = 9 * 2....

2. 4 = 1 * 3 + 1; 7 = 2 * 3 + 1; 10 = 3 * 3 + 1....

3 0
3 years ago
A day can be evenly divided into 86,400 periods of 1 second; 43,200 periods of each 2 seconds; or in many other ways. In total,
Leni [432]

Answer:

96 ways

Step-by-step explanation:

Given

Day = 86400\ seconds

Required

Ways to divide it into period of seconds

What this question implies is to determine the total number of factors of 86400

To start with, we determine the prime factorization of 86400

To do this, we continually divide 86400 by 2; when it can not be further divided, we divide by 3, then 7, then 11...

86400/2 = 43200

43200/2=21600

21600/2=10800

10800/2=5400

5400/2= 2700

2700/2 = 1350

1350/2=675

675/3=225

225/3=75

75/3=25

25/5=5

5/5 = 1

This implies that:

86400 = 2^7 * 3^3 * 5^2

The number of factors d is the solved by:

d = (a+1)*(b+1) *(c+1)

Where

n = 2^a * 3^b * 5^c

By comparison:

a = 7

b = 3

c=2

So:

d = (7+1)*(3+1) *(2+1)

d = 8*4 *3

d = 96

<em>Hence, there are 96 total ways</em>

7 0
3 years ago
In the year 1987, an investment was worth $29,800. In the year 1997, this
Veseljchak [2.6K]

Answer:

a) 46.98%

b) increasing rate of change

Step-by-step explanation:

In year 1987, investment worth $29800

In year 1997, investment worth $43800

Rate of change = 1997investment - 1987investment / 1987investment × 100

Rate of change = 43800 - 29800/29800 × 100

= 14000/29800 × 100

= 0.46979 × 100

= 46.98%

Therefore, the rate of change of the investment during the time period is 46.98%.

b) The rate of change of the investment is increasing. This is as a result of the following reasons. First, the value of rate of change is positive. Second, there is no value for rate of change for period before the time period so we cannot compare rate of change.

8 0
3 years ago
A hexagonal pyramid is cut by a plane as shown in the diagram. What is the shape of the resulting cross section? see diagram
Alenkasestr [34]

From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.

Answer: resulting cross section is a hexagon, correct choice is option 4.

9 0
3 years ago
Read 2 more answers
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