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3 years ago

You have $550 in a savings account that earns 3% simple interest each yaer. How much will be in your account in 10 years?

1 answer:

4 0

Looking at the given question, we can find several important information's and based on thm we can easily calculate the amount after 10 years.
Principal amount = $550
Rate of interest per year = 3%
Number of years the amount is to be kept = 10 years
Now we get put these information's in the formula of finding amount of money kepy in simple interest.
Amount = P(1 + rt)
Where
p = principal amount
r = rate of interest
t = Time
Then
Amount = 550[1 + (3/100) * 10)]
   = 550 [1 + 3/10]
   = 550 * (13/10)
   = 55 * 13
   = 715 dollars
So the total amount in my account will be $715

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Evaluate the summation from n equals 1 to infinity of the quotient of 3 and 2 raised the quantity n minus 1 power

Shalnov [3]

Answer:

3*∑ (1/2)^n = 6

Step-by-step explanation:

We have the summation from n = 1 to n = ∞, for:

∑ 3/(2)^(n - 1)

We know that the summation between k = 0, and k = N - 1 for:

∑ r^k = (1 - r^N)/(1 - r)

if we have the summation between k = 0 and k = ∞ - 1 = ∞

(here we used that ∞ is really big, then ∞ - 1 = ∞)

In the numerator we will have the term r^∞, if 0 < r < 1, then r^∞ = 0.

Then if we assume that 0 < r < 1 we can write:

∑ r^k = 1/(1 - r)

In our case, we can rewrite our summation as:

3*∑ (1/2)^n

for n = 0 to n = ∞

You can see that i changed the limits for n, this does not really matter because we are summing between a number and infinity, the only thing you need to take care is that now the power is n, instead of (n - 1)

Then we have r = (1/2) which is clearly smaller than 1.

then (1/2)

Then this summation is equal to:

3*∑ (1/2)^n = 3*( 1/(1 - 1/2)) = 3*( 1/( 2/2 - 1/2)) = 3*( 1/(1/2)) = 3*2 = 6

3*∑ (1/2)^n = 6

5 0

3 years ago

-4 3/5 divided by 1 1/5 as a mixed number or simplified

WITCHER [35]

-23 over 5 ÷ 11 over 5
-23 × 5 over 5 × 5
-115 over 55

Therefore, your answer would be: -2 and 1 over 11

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3 years ago

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The line graph with gradient 2 and y-intercept(0,5)

Varvara68 [4.7K]

Answer:

The line graph is:

y=2x+5

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2 years ago

There are 84 boys in a senior class of 146 students. find the ratio of boys to girls. (note: if you know the total number of stu

vladimir1956 [14]

84 to 62. You have to subtract 146-84 to get the number of girls from the class.

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3 years ago

A hat contains four balls. The balls are numbered 2, 4, 4, and 7. One ball is randomly selected and

vfiekz [6]

Answer:

If the sum is 6, a small cone will be ordered.
If the sum is 8 or 9, a medium cone will be ordered.
If the sum is 11, a large cone will be ordered.

Step-by-step explanation:

The table below shows the possible outcomes from drawing two balls. We see the relative frequencies to be ...

6: 4

8: 2

9: 2

11: 4

To make a fair decision, we want the relative frequencies of the decision possibilities to be the same. If we combine sums 8 and 9 to one category (medium cone, for example), then 6, (8 or 9), and 11 will all have the same relative frequency: 4.

The appropriate "fair decision" choice is ...

6: small cone

8 or 9: medium cone

11: large cone

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3 years ago