Find the midpoint of the segment with the following endpoints. (-10,2) and (-5,-1)

Mathematics

2 answers:

Sergeu [11.5K]2 years ago

5 0

Given:

(-10, 2) & (-5, -1)

Add x values separately; add y values separately:

(-15, 1)

Divide x and y values by 2:

(-7.5, 0.5); midpont

Lady_Fox [76]2 years ago

5 0

Answer:

(- 7.5, 0.5)

Step-by-step explanation:

Hope this helps

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-(b-5). Use the distributive property to write the expression as an equivalent algebraic expression

Dvinal [7]

Answer:

An equivalent algebraic expression of -(b-5) using distributive property is

-b+5

Step-by-step explanation:

We need to use distributive property to solve the expression -(b-5)

The distributive property states that $a(b+c)=ab+ac$

Using distributive property to solve the expression -(b-5)

$-(b-5)=-(b)-1(-5)\\=-b+5$

So, an equivalent algebraic expression of -(b-5) using distributive property is

-b+5

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3 years ago

Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have saved in 30 yea

Vsevolod [243]

$~~~~~~~~~~~~\textit{Future Value of an ordinary annuity}\\ ~~~~~~~~~~~~(\textit{payments at the end of the period}) \\\\ A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]$

$\begin{cases} A= \begin{array}{llll} \textit{accumulated amount}\\ \end{array}\\ pymnt=\textit{periodic payments}\dotfill &2500\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.1\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &30 \end{cases}$

$A=2500\left[ \cfrac{\left( 1+\frac{0.1}{1} \right)^{1\cdot 30}-1}{\frac{0.1}{1}} \right]\implies A=2500\left[ \cfrac{(1.01)^{30}-1}{0.1} \right] \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A\approx 411235.06~\hfill$