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OLga [1]
2 years ago
15

Jason collects baseball cards. He bought one card for $25. Its current value is represented by the expression 25(1.02)t, where t

is the number of years Jason has owned the card. Is Jason’s baseball card going up or down in value? Jason’s baseball card is going in value.
Mathematics
1 answer:
ki77a [65]2 years ago
4 0
Is Jason’s baseball card going up by 2% every year for example

Jason’s baseball card after 1 year is
25×(1.02)^(1)=25.5
It increased by 0.5 in amount after one year
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The telephone company is planning to introduce two new types of executive communications systems that it hopes to sell to its la
cluponka [151]

Answer:

x = 31 hundred dolars   and      

y = 91/2 = 45.5 hundred dolars

Step-by-step explanation:

Given

R(x) = (40−8x+5y)*x + (50+9x−7y)*y

C(x) = (40−8x+5y)*10 + (50+9x−7y)*29

We can use the equation

P(x) = R(x) - C(x)

where

P(x) is the profit

R(x) is the revenue

and C(x) is the costs

In order to maximize the telephone company's profit, we apply

P'(x) = R(x)' - C(x)' = 0

⇒ R(x)' = ((40−8x+5y)*x + (50+9x−7y)*y)' = (40x-8x²+14xy+50y-7y²)'

⇒ C(x)' = ((40−8x+5y)*10 + (50+9x−7y)*29)' = (1850+181x-153y)'

⇒ P'(x) = -8x²-7y²-141x+203y+14xy-1850

The first-order partial derivatives of these functions are

Px(x,y) = -16x-141+14y

Py(x,y) = -14y+203+14x

Setting these equal to zero and solving we obtain:

-16x+14y-141 = 0

14x-14y+203=0

we get the solution

x = 31     and       y = 91/2 = 45.5

Finally, the company should produce  3100  units of the first system, and  4550 units of the second system.

8 0
2 years ago
An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. In an earlier s
anyanavicka [17]

Answer:

1,496 new car buyers

Step-by-step explanation:

The sample size n in Simple Random Sampling is given by

\bf n=\frac{z^2p(1-p)}{e^2}

where  

z = 1.645 is the critical value for a 90% confidence level (*)

p= 0.33 is the population proportion.

e = 0.02 is the margin of error

so  

\bf n=\frac{(1.645)^20.33*0.67}{0.02^2}=1,495.76\approx 1,496

<em>(*)</em><em>This is a point z such that the area under the Normal curve N(0,1) inside the interval [-z, z] equals 90% = 0.9</em>

It can be obtained in Excel or OpenOffice Calc with

<em>NORMSINV(0.95)</em>

6 0
2 years ago
What is the volume of a cylinder with base radius 222 and height 666? either enter an exact answer in terms of \piπpi or use 3.1
Leno4ka [110]

In this question, it is given that the base radius is 2 , height is 6 and the value of pi is 3.14 .

And we have to find the volume of the cylinder, and for that, we have to use the following formula

V = \pi r^2 h

Substituting the values of pi,r and h, we will get

V = 3.14(2)^2 * 6 = 75.36 \ cubic \ units

3 0
2 years ago
Read 2 more answers
Lera brought a watermelon that weighed b kg to a party. Nick brought a box of candies. How much is the weight of the box of cand
Dennis_Churaev [7]

Answer:

1.5b (kg)

Step-by-step explanation:

Let's begin by listing out the variables we were given:

weight of the watermelon = b (kg),

weight of watermelon = (2/5) * weight of candies

weight of candies = 1 ÷ (2/5) = 1 ÷ 0.4

weight of candies = 2.5b (kg)

How much is the weight of the box of candies greater than the weight of the watermelon is given by:

weight of the box of candies - weight of watermelon= 2.5b - b = <u>1.5b</u> (kg)

<u>Therefore, the weight of the box of candies is greater than the weight of the watermelon by 1.5b (kg) </u>

7 0
2 years ago
Harriet would like to frame her graduation picture. The picture is 8 inches wide and 11 inches long. She wants the total area of
LekaFEV [45]

Answer: i explained

Step-by-step explanation: Just do

8 times 11 = *your answer*

then

*your answer* times/subtract/divided by  108

8 0
2 years ago
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