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Papessa [141]
2 years ago
6

Please Help !!!!!!!!!!!

Mathematics
1 answer:
nasty-shy [4]2 years ago
8 0
Y=2x+5 is greater than the rate of change of the function represented in the graph. To find this, first remember that rate of change is just slope. This means that you can easily find the slope of the already given function y=2x+5, which is just 2. Then you take two pairs from your table. I took -1,0 and 2,3. You then place those into the equation used to find slope, y2-y1 over x2-x1. 3-0 equals 3 and 2-(-1), which means 2+1, since you’re subtraction a negative number is also 3, meaning your slope or rate of change is 1. 1 is a smaller number than 2 and therefore the rate of change in the already given function is greater than that of the table. Hope this helps!
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Find the value of each of the following: exponents
Nataly [62]

Answer:

7) is 625

8) 169

9) 1.44

10) 180??

11) 1000000

12) 3430

hopefully these are right

Step-by-step explanation:

7 0
2 years ago
On 1st January 2020, Laurie invests P dollars in an account that pays a nominal annual interest rate of 5.5%, compounded quarter
andrezito [222]

Answer:

1) The common ratio =  1.055

2) The year in which the amount of money in Laurie's account will become double is the year 2032

Step-by-step explanation:

1) The given information are;

The date Laurie made the investment = 1st, January, 2020

The annual interest rate of the investment = 5.5%

Type of interest rate = Compound interest

Therefore, we have;

The value, amount, of the investment after a given number of year, given as follows;

Amount in her account = a, a × (1 + i), a × (1 + i)², a × (1 + i)³, a × (1 + i)ⁿ

Which is in the form of the sum of a geometric progression, Sₙ given as follows;

Sₙ = a + a × r + a × r² + a × r³ + ... + a × rⁿ

Where;

n = The number of years

Therefore, the common ratio = 1 + i = r = 1 + 0.055 = 1.055

The common ratio =  1.055

2) When the money doubles, we have;

2·a = a × rⁿ = a × 1.055ⁿ

2·a = a × 1.055ⁿ

2·a/a = 2 = 1.055ⁿ

2 = 1.055ⁿ

Taking log of both sides gives;

㏒2 = ㏒(1.055ⁿ) = n × ㏒(1.055)

㏒2 = n × ㏒(1.055)

n = ㏒2/(㏒(1.055)) ≈ 12.95

The number of years it will take for the amount of money in Laurie's account to double = n = 12.95 years

Therefore, the year in which the amount of money in Laurie's account will become double = 2020 + 12..95 = 2032.95 which is the year 2032

The year in which the amount of money in Laurie's account will become double = year 2032.

3 0
3 years ago
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Artyom0805 [142]

Answer:

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Step-by-step explanation:

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2 x 2.5 = 5

6 0
3 years ago
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anzhelika [568]
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Answer:

C  F

Step-by-step explanation:

4 0
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