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Oksana_A [137]
1 year ago
14

Find 26th term in the arithmetic sequence: -15,-35,-55,-75,...

Mathematics
2 answers:
ivolga24 [154]1 year ago
6 0

Answer:

Step-by-step explanation:

hello :

-75-(-55) = (-55)-(-35) = (-35)-(-15)=-20

the ratio diff is : d=-20

the nth term is :An=A1+(n-1)d      A1 =-15

An=-15+(n-1)(-20) = 15-20n+20

An = -20n+5

26th term when : n=26       A26 = -20(26)+5 = -515

A26= -515

disa [49]1 year ago
5 0

Answer:

-515

Step-by-step explanation:

In this example the first value is −15 and every value afterwards is 20 less.

After substituting these values to above formula, we obtain:

All we have to do is add 25 twenties or 25 x 20 = 500 and -15 - 500 = -515

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Tim has an after-school delivery service that he provides for several small retailers in town. He uses his bicycle and charges $
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Answer:

<em>$4.84</em>

<em></em>

Step-by-step explanation:

Given that

For delivery within 1\frac{1}2 mi, charges = $1.25

For delivery within 1\frac{1}2 mi - 1\frac{3}4 mi, charges = $1.70

For delivery within 1\frac{3}4 mi - 2 mi, charges = $2.15

and

so on.

i.e.

For delivery within 2 mi - 2\frac{1}4 mi, charges = $2.60

For delivery within 2\frac{1}4 mi - 2\frac{1}2 mi, charges = $3.05

For delivery within 2\frac{1}2 mi - 2\frac{3}4 mi, charges = $3.50

For delivery within 2\frac{3}4 mi - 3 mi, charges = $3.95

For delivery within 3 mi - 3\frac{1}4 mi, charges = $4.40

So, every 0.25 mi or \frac{1}4 mi increase in distance, there is an increase of $0.45 in the charges.

It is given that there is increase of 10% in the rates.

i.e. for every 0.25 mi increase in distance, there is an increase of 0.45*1.10 = $0.495 in the charges.

The distance of 3\frac{1}8 miles lies within the range 3 mi - 3\frac{1}4 mi.

So actual charges after increase of 10%

\Rightarrow \$4.40 \times \dfrac{110}{100}\\\Rightarrow \$4.40 \times 1.10\\\Rightarrow \bold{\$4.84}

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Answer:

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Step-by-step explanation:

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Ari is designing a patio that will be 20 feet long and 16 feet wide. He makes a scale drawing of the patio using a scale of 1 in
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You are researching the penguin population in the Falkland Islands. There are 1000 penguins in the beginning of the first year:
kolbaska11 [484]

Answer:

The formula to determine the population of penguins at the end of the 7th year is:

P_7=1.3^7\cdot P_0=6.275\cdot 1000=6275

Step-by-step explanation:

With this information, we know that the initial population at end of year 0 is 1000 penguins.

The first year will born 500 chicks (50% of the population) and also 20% of the total population will die.

We can then model the population for the end of year 1 as:

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