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4 years ago

An investment of $200 increases at a rate of 9.5% per year. What is the growth factor, b?

Mathematics

1 answer:

ohaa [14]4 years ago

3 0

The standard form for rate equation is:

F = P (1 + r)^n

F = P b^n

So b = 1 + r

In this case, r is given as 9.5% or 0.095. Therefore:

b = 1 + 0.095

b = 1.095

The growth factor is 1.095.

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What is the value of x in the equation 5(4x-10)+10x = 4(2x-3)+2(x-4)? A)-7/4 B)-1/4 C)3/20 D)3/2

Basile [38]

Answer:

D (3/2

Step-by-step explanation:

Simplify both side of the equation: 5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)

(5)(4x) + (5)(−10) + 10x = (4)(2x) + (4)(−3) + (2)(x) + (2)(−4)

Then you distribute: 20x + −50 + 10x = 8x + −12 + 2x + −8

(20x + 10x) + (−50) = (8x + 2x) + (−12 + −8)

Combine like terms: 30x + −50 = 10x + −20

30x - 50 = 10x - 20

Subtract 10x from both sides: 30x − 50 − 10x = 10x − 20 − 10x

20x - 50 = -20

Add 50 to both sides: 20x - 50 + 50 = -20 + 50

20x = 30

Divide both sides by 20: 20x / 20 = 30 / 20

x = 3/2

Boom! I hope that helped :)

5 0

3 years ago

Evaluate the expression for the given value.

myrzilka [38]

Answer:

a² = 16

Step-by-step explanation:

substitute a = 4 into the expression

a² = 4² = 4 × 4 = 16

8 0

3 years ago

Ms.Daveport bought a dozen package of spaghetti sauce mix priced at 3 o package 1.29. what is the price of one spaghetti sauce..

Semenov [28]

If a dozen package of spaghetti sauce is priced 3, that means that 12 spaghetti sauces are priced 3, to know the price of an individual spaghetti sauce we need to divide the 3 by 12:
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3 years ago

Read 2 more answers

Write each mixed number as a fraction and each fraction as a mixed number 4 2/3

emmasim [6.3K]

14/3 is 4 2/3 as a mixed number if that’s what you’re asking.

5 0

3 years ago

Pierce draws a circle with a radius of 3 centimeters. Ginna draws a circle with a radius that is twice as long as the radius of

erastova [34]

Answer:

Circumference of the circle drawn by Ginna is twice the Circumference of the circle drawn by Pierce.

Step-by-step explanation:

Given:

Radius of the circle drawn by Pierce = 3 cm

We need to find circumference of gianna's circle compare with the circumference of Pierce's circle.

Solution:

Radius of the circle drawn by Pierce = 3 cm

so we will find the Circumference of circle drawn by Pierce.

Now we know that;

Circumference of the circle is given by 2 times π times radius of the circle.

framing in equation form we get;

Circumference of the circle drawn by Pierce = $2\pi\times 3=6\pi\ cm$

Now Given:

Ginna draws a circle with a radius that is twice as long as the radius of pierce's circle.

So we can say that;

radius of the circle drawn by Ginna is equal to 2 times radius of circle drawn.

so we can say that;

radius of the circle drawn by Ginna = $2\times3 = 6\ cm$

Circumference of the circle drawn by Ginna = $2\pi\times 6=12\pi\ cm$

Now we can see that;

Circumference of the circle drawn by Ginna is $12\pi \ cm$ while Circumference of the circle drawn by Pierce is $6\pi \ cm$

So we can say that;

Circumference of the circle drawn by Ginna is twice the Circumference of the circle drawn by Pierce.

3 0

3 years ago