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alexandr1967 [171]
3 years ago
12

Identify the domain and range of each function

Mathematics
1 answer:
RSB [31]3 years ago
5 0

Answer: A) Domain: All real numbers , Range: All real numbers

Step-by-step explanation: Since the line of the graph continued to infinity, the answer for both domain (goes from Left to right) and range (goes up to down) would be all real numbers

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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
A local store buys used video games. For each game bought, they will pay $18 less than the original price paid for the game. Whi
LenKa [72]

Answer:

d

Step-by-step explanation:

I already did this before

4 0
2 years ago
Help help help please
yaroslaw [1]

Answer:

∠TUY = 120°

Step-by-step explanation:

There are two rules you can apply here:

1) The sum of the angles inside a triangle is 180°.  This means that ∠SUT = 180° - 70° - 50 ° = 60°

2) A vector coming out of a line two angles between itself and the line, and they add up to 180° as well. This means that ∠TUY = 180° - ∠SUT.  So ∠TUY = 180° - 60° = 120°

So the missing angle one hundred and twenty degrees.

4 0
3 years ago
The school that Jeremy goes to is selling tickets to a play. On the first day of ticket sales the school sold 8 senior citizen t
telo118 [61]

Answer:

x=$10

y=$12

Step-by-step explanation:

Step one:

given

let senior tickets be x

and child be y

8x+9y=188----1

also on the second day

x+5y=70-------2

the system of equation is

8x+9y=188-----1

x+5y=70---------2

x=70-5y, put this in 1

8(70-5y)+9y=188

560-40y+9y=188

-31y=-372

divide by -31

y=-372/-31

y=$12

put y= 12 in x+5y=70---------2

x+5(12)=70---------2

x+60=70

x=$10

4 0
3 years ago
Whoever helps with number 10 gets brainliest answer and 10 points :)
madreJ [45]
10) Mean 52 Mode No Mode (all shown only once) Median 48 Range 75
3 0
3 years ago
Read 2 more answers
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