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2 years ago

The functions f(x) and g(x) are described below:

Mathematics

1 answer:

erastovalidia [21]2 years ago

4 0

g(x) - f(x) = -13

down 13 unit

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Jack recieved $600 for his birthday. If he saves it in a bank account with 8% interest compounded yearly, how much money will he

Gwar [14]

so 21 - 13, the money will be invested for 8 years.

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to &\$600\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\to &1\\ t=years\to &8 \end{cases} \\\\\\ A=600\left(1+\frac{0.08}{1}\right)^{1\cdot 8}\implies A=600(1.08)^8\implies A\approx 1110.558126$

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2 years ago

The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l

eduard

1.) 3x

2.) area

3.) six

4.) 3/2

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2 years ago

A town planner is interested in getting some demographic data about the households in the city. The city has four wards with the

UkoKoshka [18]

Answer:

Step-by-step explanation:

Population size= 2107+903+1505+1499

= 6014

Calculating the sample of ward B by using the stratified random sampling formula:

Stratified Random Sample, np= ( Np / N ) * n

where

np= pth stratum sample size

Np= pth stratum population size

N = population size

n = sample size

Stratified Sample (ward B) = 100 / 6014 * 903 = 15 !

4 0

2 years ago

What is the interval notation for the compound inequality? x ≤ −4 or x ≥ 5

torisob [31]

Answer:

(-∞, -4] ∪ [5, ∞)

Step-by-step explanation:

Hi!

Alright, so greater (or less) than or equal to is denoted with a bracket.

If x is less than or equal to -4, then the bracket is on the left side.

(___, -4]

Because x is <em>any</em> number under or equal to -4, x can range from negative infinity. However, we use a parentheses for infinity because infinity can never truly be reached.

So, x $\leq$ -4 = (-∞, -4]

X $\geq$ 5

Equal to = bracket

X is any number above 5, so

[5, ∞)

Because we want both of these, we use the union sign (∪)

so,

= (-∞, -4] ∪ [5, ∞)

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2 years ago

What is the area of the kite?

finlep [7]

Answer:

Step-by-step explanation:

area of kite=product of diagonals ÷2=(30×4)÷2=120/2=60 ft²

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2 years ago