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3 years ago

Which is a counterexample to this conjecture?

2 answers:

3 0

The answer is C.

33,21,and 15 are all composite numbers. Meaning that they had factors other than 1 and themselves. 13 is a prime number because 13 only factors are 1 and itself.

leonid [27]3 years ago

3 0

<span>C. 6 + 7 = 13</span>
because 6 and 7 are consecutive integers, but 13 is not a composite number.

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An investment, initially worth £645.3, grows at a constant continuous rate of 0.05. After how many years will it be

d1i1m1o1n [39]

The investment growth is an illustration of an exponential function.

It will take 78.3 years for the investment to reach £29437.2

The given parameters are:

Initial worth: 645.3
Rate: 0.05

<h3>Exponential functions</h3>

An exponential function is represented as:

$y = a(1 + r)^t$

Where:

a represents the initial value
r represents the rate.

<h3>The number of years</h3>

So, we have:

$y = 645.3(1.05)^t$

When the investment becomes 29437.2, the equation becomes

$29437.2 = 645.3(1.05)^t$

Divide both sides by 645.3

$45.6=1.05^t$

Take the logarithm of both sides

$\log(45.6)=\log(1.05)^t$

This gives

$\log(45.6)=t\log(1.05)$

Make t the subject

$t = \frac{\log(45.6)}{\log(1.05)}$

$t = 78.3$

Hence, it will take 78.3 years for the investment to reach £29437.2

Read more about exponential functions at:

brainly.com/question/11464095

6 0

2 years ago

Consider the equation

Ksju [112]

Put the equation in Photo math

5 0

3 years ago

Dana can type nearly 90 words per minute. Use this information to find the number of hours it will take her to type 2.6 x 105 wo

Vlad1618 [11]

Dana can type 90 words per minute.

Since, 1 minute = $\frac{1}{60}$ hours

Therefore, number of words she can type = $\frac{90}{\frac{1}{60}}$

= 90×60

= 5400 words per hour

If she types $2.6\times 10^5$ words in 'x' hours.

Number of words Dana types with the given speed in 'x' hours = Speed of typing × Time

= $5400\times x$

Therefore, $5400\times x =2.6\times 10^5$

$5400x=260000$

$x=\frac{260000}{5400}$

$x=48.15$ hours

Therefore, Dana types $2.6\times 10^5$ words in 48.15 hours.

Learn more,

brainly.com/question/621754

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3 years ago

A car travels at an average speed of 56 miles per hour. How long does it take to travel 322 miles?

Phantasy [73]

It will take about 5 hours and 45 minutes to travel 322 miles. Hope this helps!!

4 0

3 years ago

Mandy cut a parallelogram to make a rectangle.

IrinaK [193]

Answer:

Step-by-step explanation:

A=15

l Length

w Width

3wl

dwl

wnA=wl=35=15

6 0

3 years ago

Read 2 more answers