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umka21 [38]
1 year ago
5

PLEASE HELP! Given the following equation of an exponential function N= 40.25(1.0394)^t determine the base, b, of the exponentia

l model. Is the base
Mathematics
1 answer:
NeTakaya1 year ago
5 0
The exponential equation in its generic form is:
 y = A * (b) ^ t
 Where,
 A: initial amount
 b: base (Growth rate for b> 1. Decrease rate for b <1.)
 t: time.
 We have then that the equation is:
 N = 40.25 (1.0394) ^ t
 The base is:
 b = 1.0394> 1 (it is a growth rate)
 Answer:
 
The base, b, of the exponential model is:
 
b = 1.0394
 the base is a growth rate
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garik1379 [7]

Answer:

Length of diagonal is 7.3 yards.

Step-by-step explanation:

Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.

To find: The length of the diagonal of the corral.

Solution: Let the width of the rectangular garden be <em>x</em> yards.

So, the length of the diagonal is x+5

width of the rectangular corral is 3x

We know that the square of the diagonal is sum of the squares of the length and width.

So,

(3x)^{2} +x^{2} =(x+5)^{2}

9x^{2} +x^{2} =x^{2}+10x+25

9x^{2}-10x-25=0

9x^{2}-10x-25=0

x=\frac{-b\pm\sqrt{b^{2} -4ac} }{2a}

x=\frac{10\pm\sqrt{(-10)^{2} -4(9)(-25)} }{2(9)}

x=\frac{10\pm\sqrt{100}}{18}

Since, side can't be negative.

x=\frac{5}{9}+\frac{5}{9}\sqrt{10}

Now, length of the diagonal is

5+\frac{5}{9}+\frac{5}{9}\sqrt{10}

Hence, length of diagonal is 7.3 yards.

4 0
2 years ago
What does the digit 7 represent in 170,280?
Sidana [21]

Answer:

that is the ten thousands place

Step-by-step explanation:

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Katrina has the option of an 8-year non-subsidized student loan of $32,000 at an annual interest rate of 3.5% or an 8-year subsi
Fiesta28 [93]

Answer: katrina will pay less interest on the 8-year non subsidized student loan

The total interest paid on the non-subsidized loan is USD 8,959

The total interest paid on the subsidized loan is USD 11,520

Step-by-step explanation:

Subsidized loan at 4.5% for 8years will be 4.5/100 × 32000 x 1/12= USD120/month, USD 1440/year. For 8 years, USD11,520

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6 0
1 year ago
The graph shows the distance Kendrick walks in different lengths of time.
Vlad1618 [11]

Answer:

1) 5

2) 0.2

Step-by-step explanation:

The complete question is attached below.

The x-axis represents the time in hours and y-axis represents the distance in kilometers.

The first question asks how many kilometers, does Kendrick walk per hour. The straight line represents the distance traveled at various amounts of time.

The point marked on the graph is against time = 1 hour and Distance = 5 km. So this shows:

Kendrick walks 5 kilometers in 1 hour.

In next part, we have to find how much time Kendrick takes to walk 1 kilometer.

Since, we know that:

Kendrick walks 5 kilometers in time = 1 hour

Dividing both sides by 5, we can write:

Kendrick walks 1 kilometer in time = 1/5 hour = 0.2 hour

So, Kendrick takes 0.2 hours to walk 1 kilometer.

7 0
2 years ago
Read 2 more answers
How to factorise 5h^2-12hg​
bonufazy [111]

Answer:

h(5h-12g)

Step-by-step explanation:

5h^2-12hg

When we factor expressions, we look for factors within the terms that are alike, or in other words, we look for common factors. Here, 5h^2 and 12hg only have one common factor: h. Therefore, to factorize this expression, divide both terms by h.

= h(\frac{5h^2}{h}-\frac{12hg}{h}  )\\= h(5h-12g)

Now, we've "carried" h out of the expression and have therefore factored it.

I hope this helps!

7 0
2 years ago
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