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Deffense [45]
3 years ago
8

The area ( l x w ) of the postcard is 24 square inches. What is the width b of the message (in inches)?

Mathematics
1 answer:
pentagon [3]3 years ago
5 0

area = (l)(w)(h)

24 = 4(3 + b)

24 = 12 + 4b

-12 on both sides

12 = 4b

/4 on both sides

b = 3 inches

Substitute b = 3 inches in width

3 + b

3 + 3 = 6 inches

Answer:

width = 6 inches

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After two consecutive years of 5% rates of return, what rate of return in the third year will produce a cumulative gain of 16%?
murzikaleks [220]

Using decimal multipliers, it is found that a rate of return of 5.2% in the third year will produce a cumulative gain of 16%.

The <u>decimal multiplier</u> for a increase of a% is given by:

M = \frac{100 + a}{100}

In this problem, two increases of 5%, thus:

M = \frac{100 + 5}{100} = 1.05

Another of x, that we want to find, and the result is a increase of 16%, thus:

M = \frac{100 + 16}{100} = 1.16

The three increases(5%, 5% and x%) result in a increase of 16%, thus:

1.05(1.05)(x) = 1.16

x = \frac{1.16}{(1.05)^2}

x = 1.052

1.052 - 1 = 0.052

A rate of return of 5.2% in the third year will produce a cumulative gain of 16%.

A similar problem is given at brainly.com/question/21806362

5 0
3 years ago
Whitch equation is related to this equation? k divided by 4=13
OlgaM077 [116]
k:4=13\\\\\dfrac{k}{4}=13\ \  \ \ |multiply\ both\ sides\ by\ 4\\\\k=52
6 0
4 years ago
F(x) = 1/x<br> g(x) = x - 4<br> Can you evaluate (gof)(0)? Explain why or why<br> not.
s344n2d4d5 [400]

(gof)(0) cannot be evaluated

<em><u>Solution:</u></em>

Given that,

f(x) = \frac{1}{x}\\\\g(x) = x - 4

A composite function is denoted by (g o f) (x) = g (f(x)).

The notation g o f is read as “g of f”

Therefore, let us find whether (gof)(0) can be evaluated or not

To find (gof)(0):

(g o f) (x) = g (f(x))

Now substitute the given value of f(x)

(g o f) (x) = g(\frac{1}{x})

\text{ Substitute } x = \frac{1}{x} \text{ in } g(x) = x - 4

(g o f) (x) = \frac{1}{x} - 4

Now to find (gof)(0), substitute x = 0

(g o f) (x) = \frac{1}{0} - 4

Since 1 divided by 0 is undefined, because any number divided by 0 is undefined

(gof)(0) cannot be evaluated

6 0
3 years ago
Read 2 more answers
What decimal does this model represent? Explain.<br> Online Pearson Realize com
svetlana [45]

Answer:

0.73

Step-by-step explanation:

There are 100 total squares, and 73 are highlighted

73/100 = 0.73

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

8 0
3 years ago
A circular patio has a diameter of 35 yards. What is the circumference of the patio?
wolverine [178]
C=2πr=2·π·17.5≈109.95574
6 0
3 years ago
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