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Korolek [52]
3 years ago
13

PLZ HELP ASAP WILL GIVE BRAINLIEST :)!!!

Mathematics
1 answer:
Kobotan [32]3 years ago
3 0
9 students earned an 85 or higher.

2 earned 85
1 earned 86
3 earned 91
1 earned 94
2 earned 95.

2+1+3+1+2=9
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When a deposit of $1000 is made into an account paying 2% interest, compounded annually, the balance, $B, in the account after t
labwork [276]

Answer:

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

Step-by-step explanation:

Given a function y, the average rate of change S of y=f(x) in an interval (x_{s}, x_{f}) will be given by the following equation:

S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}

In this problem, we have that:

B(t) = 1000(1.02)^{t}

Find the average rate of change in the balance over the interval t = 0 to t = 5.

B(0) = 1000(1.02)^{0} = 1000

B(5) = 1000(1.02)^{5} = 1104.08

Then

S = \frac{1104.08 - 1000}{5-0} = 20.82

The average rate of change in the balance over the interval t = 0 to t = 5 is of $20.82 a year. This means that the balance increased by $20.82 a year over the interval t = 0 to t = 5.

8 0
3 years ago
For each of the following sequences, • Give a formula for the nth term in the sequence, • Give a recursive definition for the se
Andrew [12]

Answer:

(a)n^{th} = n

f(1) = 1

f(n) = f(n-1) + 1

(b)n^{th} = 2^{n-1}

f(1) = 1

f(n) = f(n-1) * 2

(c)n^{th} = n!

f(1) = 1

f(n) = f(n-1) * n

Step-by-step explanation:

(a) This is a sequence of consecutive number

n^{th} = n

f(1) = 1

f(n) = f(n-1) + 1

(b) This is a sequence of 2 to the power of n - 1. The next number is twice time of this number

n^{th} = 2^{n-1}

f(1) = 1

f(n) = f(n-1) * 2

(c) This is factorial sequence. Where the next number is this number multiplied by n^{th}

n^{th} = n!

f(1) = 1

f(n) = f(n-1) * n

5 0
2 years ago
If a triangle has a side length of 10 <br> 12 and 15 what type of triangle is it
Alex73 [517]
Acute. Step-by-step explanation: Using the Triangle Inequality Theorem you know that the sum of the lengths of two sides of a triangle are greater than the length of the third side.
8 0
2 years ago
What are the graphs of y=sinx and y=cosx in the interval from -2 pi to 2 pi?
g100num [7]
I used Excel to create the tables and the graphs.

I attached both the tables and the graphs.


You should replace the numbers of the x-axis (in both graphs) by the numbers as a fraction of pi. Those numbers are also included in the table, so you should not have problems with that.


Open and see tha file attached with the answer to your question..
Download pdf
5 0
3 years ago
Simplify the following expression.
34kurt

Answer:

A. 33x + 92y

Step-by-step explanation:

Set up the problem like this and combine like terms:

    40x + 58y

   - 7x  + 34y

--------------------

    33x + 92y

Or, set up the problem like this and combine like terms:

(40x + 58y) + (-7x + 34y)

40x + 58y - 7x + 34y

40x - 7x + 58y + 34y

33x + 92y

You should get the same answer with either method.

3 0
3 years ago
Read 2 more answers
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