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Ray Of Light [21]
3 years ago
14

Pls help extra points and mark brainlist

Mathematics
1 answer:
attashe74 [19]3 years ago
3 0

Answer:

12

Step-by-step explanation:

The range is the difference from the greatest data point and the least data point. By looking at the box plot, the lowest value would be 0 while the highest would be 12. You use the definition of range to find it:

12 - 0 = 12

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Briony invests some money. Interest is paid on the money at a rate of 2% per annum for the first year and 1% per annum for the s
nalin [4]

Answer:

Brionny invested £8400.

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.

First year:

Amount of 2% interest, during 1 year.

So the interest earned is:

E = P*I*t = P*0.02*1 = 0.02P

The total amount at the end of the first year is:

T = E + P = 0.02P + P = 1.02P

Second year:

We have that:

P = 1.02P

The interest earned is of:

E = P*I*t = 1.02P*0.01*1 = 0.0102P

The total amount is:

T = E + P = 0.0102P + 1.02P = 1.0302P

After two years, the investment is worth £8653.68 How much did Briony invest?

So

1.0302P = 8653.68

P = \frac{8653.68}{1.0302}

P = 8400

Brionny invested £8400.

3 0
3 years ago
Review the graph.
WITCHER [35]

Answer:

A. quadrant l

Step-by-step explanation:

Edge 2020

6 0
2 years ago
Read 2 more answers
The MagicSoft software company has a proposal to the city council of Alva, Florida, to relocate there. The proposal claims that
EleoNora [17]

Answer:

The correct estimate of the amount generated to the local economy is $3,333,333.\bar3

Step-by-step explanation:

The amount the expected to be generated for the local economy = $3.3 million

The amount of salaries that will generate $3.3 million = $1 million

The percentage of the amount of the salaries and the subsequent earnings expected to be spent on the local community = 70%

Therefore, we have;

For a first amount of 1 million into the economy, the next amount to into the economy is 70/100 × 1 million = 700,000, then we have 70/100 × 700,000 and so on, which is a geometric sequence, with first term, a = $1 million, the common ratio, r = 70/100 = 0.7, the number of terms = Infinity = ∞

The sum of a geometric sequence to infinity is given as follows;

\sum\limits_{k = 0}^{\infty }a \cdot r^k = S_{\infty} = \dfrac{a}{1 - r}

Substituting the known values gives;

\sum\limits_{k = 0}^{\infty }1,000,000 \times 0.7 ^k =  \dfrac{1,000,000}{1 - 0.7}= 3,333,333.\bar 3

Therefore, the correct estimate of the amount generated to the local economy by the $1 million salaries that will be paid = $3,333,333.\bar3.

5 0
3 years ago
Pls help pls helppp i will giving breanlist
GaryK [48]

Answer:

[-5, 4) ∪ (4, ∞)

Step-by-step explanation:

Given functions:

f(x)=\dfrac{1}{x-3}

g(x)=\sqrt{x+5}

Composite function:

\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}

Domain: input values (x-values)

For (f\:o\:g)(x) to be defined:

x+5\geq 0 \implies x\geq -5

\sqrt{x+5}\neq 3 \implies x\neq 4

Therefore, -5\leq x < 4  and  x > 4

⇒  [-5, 4) ∪ (4, ∞)

3 0
2 years ago
If f x equals x -3 + g x equals 1 - x 2 - 9 find ( f og) (x and give any restrictions on its domain
evablogger [386]
\begin{gathered} f(x)=x-3 \\ g(x)=\frac{1}{x^2-9} \\ (\text{fog)(x)}=\frac{1}{x^2-9}-3 \end{gathered}

the denominator cannot be zero, because the division by zero is not defined, therefore:

\begin{gathered} x^2-9=0 \\ \text{Solving for x:} \\ x^2=9 \\ \sqrt[]{x^2}=\sqrt[]{9} \\ x=\pm3 \end{gathered}

Therefore the domain of (f o g)(x) is:

D\colon(-\infty,-3)\cup(-3,3)\cup(3,\infty)

3 0
1 year ago
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