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Alekssandra [29.7K]
3 years ago
12

Can you get the answer and explain how you did it, i am really struggling right now

Mathematics
1 answer:
Nastasia [14]3 years ago
4 0

9514 1404 393

Answer:

 453.32

Step-by-step explanation:

The argument of the summation symbol is recognizable as the general term of a geometric series with first term a1=4 and common ratio r=1.5. The indices on the summation symbol tell you that you want the sum of the first 10 terms of the series.

The general form of the sum of the first n terms of a geometric series is ...

  Sn = a1(r^n -1)/(r -1)

For the given values of a1 and r, this sum is ...

  S_{10}=4\cdot\dfrac{1.5^{10}-1}{1.5-1}=4\cdot\dfrac{57.6650390625-1}{0.5}\\\\\boxed{S_{10}\approx453.32}

____

Your graphing calculator may be able to evaluate this for you directly.

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Please explain the how you got the answers thanks asap
stich3 [128]

Answer:

a) 90 stamps

b) 108 stamps

c) 333 stamps

Step-by-step explanation:

Whenever you have ratios, just treat them like you would a fraction! For example, a ratio of 1:2 can also look like 1/2!

In this context, you have a ratio of 1:1.5 that represents the ratio of Canadian stamps to stamps from the rest of the world. You can set up two fractions and set them equal to each other in order to solve for the unknown number of Canadian stamps. 1/1.5 is representative of Canada/rest of world. So is x/135, because you are solving for the actual number of Canadian stamps and you already know how many stamps you have from the rest of the world. Set 1/1.5 equal to x/135, and solve for x by cross multiplying. You'll end up with 90.

Solve using the same method for the US! This will look like 1.2/1.5 = x/135. Solve for x, and get 108!

Now, simply add all your stamps together: 90 + 108 + 135. This gets you a total of 333 stamps!

5 0
4 years ago
Solve log2 x = log5 3+1 by graphing. round to the nearest tenth
Ket [755]

Answer:

17

Step-by-step explanation:

6 0
3 years ago
What is the value of x in the equation
seraphim [82]
1/3 x - 1/2 = 18 1/2
1/3 x = 19 (add 1/2 on the right side to 18 1/2)
x = 57 (multiply the reciprocal of 1/3 and that will be 3/1 or 3 to 19 to get x by itself)
So, the answer is x = 57 (d. 57)
6 0
4 years ago
The population of a small town in Ohio was 3,800 people in I. It has slowly been decreasing at a rate of 25% per year. What will
MrRa [10]

Answer:

676 assuming the population is 3800 in 2019. If it's a different year then change t.

Step-by-step explanation:

P(t) = P_{0} (1+r)^t \\\\P(6) = 3800(1-.25)^6 \\=P(6) = 3800(.75)^6\\=676


3 0
3 years ago
A food can claim it is "high in" a particular nutrient if it contains 20% or more of the DV. This food is a "high ____" food.
oee [108]

Answer: Iron

Explanation:

The food contain high iron food as the daily value (DV) of the iron is 45% and most of the nutrient claimed that food contain low sodium but contain good source of the fiber. The food is high in the amount of the nutrient with 20% daily value.

The daily value actually recommend the minimum amount of the particular nutrient which everyone should consume in daily life.

 

3 0
4 years ago
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