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2 years ago

f(t)=Q0(1+r)^t. Find the growth rate, r, to the nearest thousandth, given f(0.01)=1.06 and f(0.11)=1.09.

1 answer:

4 0

To find the ratio, you just need to divide the two function and solve it. The calculation would be:

F(t)=Q0(1+r)^t

F(0.11)/F(0.01) = 1.09/1.06
Q0(1+r)^0.11 / Q0(1+r)^0.01 = 1.0291
(1+r)^(0.11-0.01) = 1.0291
(1+r)^0.10 = 1.0291
(1+r)^0.10*10 = 1.0283 ^10
(1+r )= 1.3325
r = 0.323

You might be interested in

A transformation that maps the vertex A( 3 , 4 ) to A’ ( -4 , 3 ) is

Katen [24]

Answer:

"A translation of 7 units to the left followed by a translation of 1 unit down".

Step-by-step explanation:

There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.

Suppose that we have the point (a, b) which is transformed into (a', b')

Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.

(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).

Here we have the point A (3, 4) transformed into (-4, 3)

Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.

Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.

Then we can write this transformation as:

"A translation of 7 units to the left followed by a translation of 1 unit down".

5 0

2 years ago

Ivan has 15 yards of green felt and 12 yards of blue felt to make 3 quilts if Ivan uses the same total number of yards for each

mixas84 [53]

Answer:

9 yards

Step-by-step explanation:

Let the length of each quilt be 'l'.

Given:

Length of green felt (g) = 15 yards

Length of blue felt (b) = 12 yards

Total number of quilts = 3

Now, the length of 3 quilts is given as:

$Total\ length=l+l+l=3l$ ----- (1)

As per question:

Total length = Length of green felt + Length of blue felt

Total length = $g+b$

$Total\ length=15+12=27$ --------- (2)

Now, comparing equations (1) and (2), we get:

$3l=27\\\\l=\frac{27}{3}\\\\l=9\ yards$

Hence, each quilt measures 9 yards in length.

3 0

3 years ago

Someone help me with my homework

Nutka1998 [239]

Answer:

Step-by-step explanation:

the second one is correct. the first one is wrong because shape C also has those angles. the third one is wrong because shape C also has no perpendicular sides. the fourth one is wrong because shape C also has 2 pairs of angles with the same measure.

5 0

3 years ago

Read 2 more answers

1. Under absorption costing, how much fixed manufacturing overhead cost is included in the company's inventory at the end of las

Jobisdone [24]

Answer:

$5,200 a fixed manufacturing overhead cost is included in the company's inventory at the end of last year.

Income Statement is Prepared in an MS Excel File Attached With this answer Please find it.

Step-by-step explanation:

Fixed Manufacturing Overhead = Total Fixed manufacturing Overhead x Units in ending inventory / Units produced

Fixed Manufacturing Overhead = 65,000 x 20 / 250 = $5,200

File Attached.

There is a Difference of $5,200 in net operating income between the two costing methods. The amount of fixed asset assigned to closing inventory.

Download xlsx

3 0

3 years ago

Is my answer correct or no? ---> show explanation & details if i am wrong!!!

neonofarm [45]

Answer:

No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle ⇒ 3rd answer

Step-by-step explanation:

From the graph of the circle

∵ The center of the circle F is at the origin

∴ F is (0 , 0)

∵ The circle passes through point (7 , 0)

- The length of the radius of the circle is the distance between

the center of the circle and a point on the circle

∴ r is the distance between points (0 , 0) and (7 , 0)

∴ $r=\sqrt{(7-0)^{2}+(0-0)^{2}}=\sqrt{49}=7$

∴ The length of the radius of the circle is 7 units

Let us find the distance between point (7 , -7) and the origin (0 , 0)

If the distance is equal to the radius of the circle, then the point is on the circle
If the distance is greater than the radius, then the point is outside the circle
If the distance is less than the radius, then the point is inside the circle

∵ The distance = $\sqrt{(7-0)^{2}+(-7-0)^{2}}=\sqrt{49+49}=\sqrt{98}=7\sqrt{2}$

∵ r = 7

∵ $7\sqrt{2}$ > 7

∴ The distance is greater than the radius of the circle

∴ Point (7 , -7) lies outside the circle

The correct answer is:

No, because the distance from the origin to point (7 , -7) is greater than the radius of the circle

Your answer is not correct, the correct answer is the 3rd answer

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3 years ago