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Naddika [18.5K]
3 years ago
10

Increments of seven ​

Mathematics
1 answer:
BaLLatris [955]3 years ago
6 0

Answer:

Specific Learning Outcomes:  

Solve problems that involve finding powers of a number

Description of mathematics:  

In this problem students work with powers of numbers and, as a consequence, come to understand what is happening to the numbers.  

Students also see how an apparently enormous and difficult calculation can be broken down into manageable parts. The students should come to realise that there are only a limited number of unit digits obtained when 7 is raised to a power. Further,  these specific digits 'cycle round' as the power of 7 increases. This cycle is 7, 9, 3, 1, 7, 9, …

The same is true of the digit in the tens place.

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A cell phone company charges $40 per month plus a $35 activation fee. Write an expression for the total cost for m montha.
Pie
For the first month it will be $40 for the service and $35 to activate the phone service. After the first month it will only be $40 but for the first month it will be $75
6 0
3 years ago
Easton is going to invest $340 and leave it in an account for 8 years. Assuming the interest is compounded quarterly, what inter
Jlenok [28]

Answer:

100.7%

Step-by-step explanation:

Since the interest is compounded quarterly, and there are 4 quarters per year, that would leave us with 32 quarters total where interest is acquired. Now, we need to find the interest rate, that would be required in order to end up with 420 dollars after 32 quarters.

We can setup a formula using our period of time and the money he invested into the bank:

340(x)^{32}=420

We can divide 340 from both sides, and simplify the right side to 21 divided by 17:

x^{32}=\frac{21}{17}

Taking the 32th root of 21/17 is equal to 1.00662, which is equal to 100.0662%. To the nearest tenth of a percent, this is equal to 100.7%.

5 0
2 years ago
How would I do this problem?
kenny6666 [7]

If it's a geometric sequence then:

a_1=27;\ a_2=27\\\\r=\dfrac{a_2}{a_1}\to r=\dfrac{27}{36}=\dfrac{3}{4}=0.75\\\\a_{n+1}=a_nr\\\\a_3=27\cdot0.75=20.25\ CORRECT

We calculate the fourth and fifth term of the sequence:

a_4=a_3r\to a_4=20.25\cdot0.75=15.1875\\\\a_5=a_4r\to a_5=15.1875\cdot0.75=11.390625

Answer:

In year 4 15.1875 animals.

In year 5 11.390625 animals.

7 0
3 years ago
Which fractions are equivalent to 15/20
Digiron [165]

Answer:

\frac{3}{4}, \frac{30}{40}, \frac{45}{60}, \frac{60}{80}....e.t.c are all equivalent fractions

Step-by-step explanation:

For the answer you need to know bout equivalent fractions

TO find equivalent fractions you have to multiply the numerator and denominator by the same amount

E.x.\frac{15}{20}=\frac{(15)(2)}{(20)(2)} =\frac{30}{40}

Therefore \frac{30}{40} is an equivalent fraction

8 0
3 years ago
Find the greatest common factor!<br> Please help with these 2 questions
Aleksandr-060686 [28]

Hello!

The greatest common factor (GCF) is self explanatory. We find the factors of each number, and find the largest ones that are in common

12: 1,12,2,6,3,4

33:1,33,3,11,

As you can see, the greatest number these two have in common is 3.

Now for the next set.

45: 1,45,3,15,5,9

70:1,70,2,35,5,14,7,10

As you can see, our GCF is 5.

Therefore, our answers are below.

9) 3

10) 5

I hope this helps!

5 0
3 years ago
Read 2 more answers
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