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olasank [31]
2 years ago
12

Samuel took an Antigua clock that his grandfather had purchased, to be appraised the appraiser evaluated the current price of th

e clock to be $400 and stated that the value will continue to increase at 2% per year. Witch of the following graphs shows the value of the antique clock, y , in dollars , after x years ?
Mathematics
1 answer:
NeTakaya2 years ago
4 0
For this case we have an equation of the form:
 y = A * (b) ^ x
 
 Where,
 A: original price
 b: growth rate
 x: number of years
 Substituting values we have:
 y = 400 * (1.02) ^ x
 
 Answer:
 
the value of the antique clock, and, in dollars, after x years is:
 y = 400 * (1.02) ^ x
You might be interested in
a shopkeeper sold goods for rs 2400 and made a profit of 25% in the process. find his profit per cent if he had sold his goods f
miv72 [106K]

case 1,

Let the CP be ₹x,

SP = ₹2400

Profit = SP – CP

= 2400 – x

Profit % = {(2400–x)/ x} × 100%

According to the question,

{(2400–x)/ x} × 100 = 25

=> (2400–x)/ x= 25 /100

=> 100(2400–x) = 25x [ cross multiplication]

=> 240000 – 100x = 25x

=> 240000 = 25x + 100x

=> 240000 = 125x

=> 240000/125 = x

=> x = 1920

So, CP = ₹1920

case 2,

SP = ₹2040

Profit = SP – CP

= 2040 – 1920

= ₹120

profit % = 120/1920 × 100%

= 16%

<h3>Thus, his profit would be 16% if he had sold his goods for ₹2040.</h3>
6 0
2 years ago
If the inflation rate is positive, purchasing power . This situation is reflected in the rate of return on an investment, which
kirill [66]

Answer:

If inflation rate is positive, purchasing power of money decreases thus the rate of returns on investment decreases.

Step-by-step explanation:

When the prices of goods and services are averagely increasing we say that inflation is positive.Purchasing power is high when a currency value is able to purchase more goods and services as per unit of money can buy.when inflation is positive, the amounts of goods and services that can be purchased is reduced.

6 0
2 years ago
Marlene rides her bike at a rate of 16 miles per hour. The time in hours that she rides is represented by the variable t, and th
White raven [17]

Let

t--------> the time in hours

d-------> the distance in miles

we know that

d=16t

this is a linear equation that represent the scenario

in this equation the independent variable is the time t and the dependent variable is the distance d

The distance's equation in function notation is equal to

f(t)=16t

Using a graph tool

see the attached figure

The domain of the function is the interval----------> [0,∞)

t\geq0

The range of the function is the interval------->  [0,∞)

f(t)\geq0

<u>Statements</u>

<u>a) The independent variable, the input, is the variable d, representing distance</u>

The statement is false

Because the  independent variable is the variable t

<u>b) The distance traveled depends on the amount of time Marlene rides her bike</u>

The statement is true

Because the distance's equation in function notation is equal to

f(t)=16t

<u>c) The initial value of the scenario is 16 miles per hour</u>

The statement is false

Because 16 represent the rate or  the slope of the linear equation

<u>d) The equation t = d + 16 represents the scenario</u>

The statement is false

Because, the scenario is represented by the function f(t)=16t

<u>e) The function f(t) = 16t represents the scenario</u>

The statement is true

8 0
2 years ago
Read 2 more answers
You plan to work for 40 years and then retire using a 25-year annuity. You want to arrange a retirement income of $4000 per mont
Molodets [167]

Answer:

  $311.74

Step-by-step explanation:

A financial calculator computes the payment amount to be $311.74.

___

Your graphing calculator may have the capability to do this. Certainly, such calculators are available in spreadsheet programs and on the web.

___

The appropriate formula is the one for the sum of terms of a geometric series.

  Sn = a1·((1+r)^n -1)/(r) . . . . . where r is the monthly interest rate (0.005) and n is the number of payments (480). Filling in the given numbers, you have ...

  $620827.46 = a1·(1.005^480 -1)/.005 = 1991.4907·a1

Then ...

  $620827.46/1991.4907 = a1 ≈ $311.74

7 0
2 years ago
Ecologists sometimes find rather strange relationships in our environment. For example, do beavers benefit beetles? Researchers
Harman [31]

Answer:

The appropriate conclusion that answers the question stated in step one is:

  • The weak correlation value does not support the idea that beavers benefit beetles.
  • The largest number of beetle larvae was 55 and the largest number of stumps was 5.

Step-by-step explanation:

1) Select the appropriate practical question.

The appropriate practical question is:

"How does the number of beaver-caused stumps influences the number of beetle larvae clusters?"

2) Make a scatter plot.

The scatter plot is attached below.

From the scatter plot it can be seen that there exists a negative relationship between beaver stumps and beetle larvae. That is as the number of stumps increases the number of beetle larvae decreases.

The maximum number of beaver stumps found is 5.

3)

The best numerical summary for this problem are,

Correlation and regression line

The least square regression line for predicting the number of beetle larvae from the number of stumps is:

<em>y</em> = 31.594 - 2.8365 <em>x</em>.

Use the Excel function "=CORREL(array1,array2)" to compute the correlation.

The correlation value is, <em>r</em> = -0.219.

Both the correlation coefficient and regression line explains a negative relationship between the number of beetle larvae and the number of stumps.

Values amid 0 and 0.3 (0 and -0.3) implies a weak positive (negative) linear relationship amid the variables.

Thus, a correlation coefficient, r = -0.219, indicates a weak negative correlation between two variables.

Thus, the appropriate conclusion that answers the question stated in step one is:

  • The weak correlation value does not support the idea that beavers benefit beetles.
  • The largest number of beetle larvae was 55 and the largest number of stumps was 5.

3 0
2 years ago
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