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Mathematics

1 answer:

ohaa [14]3 years ago

5 0

Answer:

8=g-17

Theres the answer

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How many different 6 letter words can be made from the word SMOOTH?

shutvik [7]

Answer:

Step-by-step explanation:

But you can make 5 letter words, 4, 3, and 2, just no 6 letters.

8 0

3 years ago

Jack's last six scores are 75,78,83,80,79,84. If he scores a 90 on the next test, by how much will his mean test score increase?

kondaur [170]

Answer:

1.46

Step-by-step explanation:

First find the the mean score before he made a 90.

$\frac{75+78+83+80+79+84}{6} = 79.83$

Now add the score of 90 and calculate.

$\frac{75+78+83+80+79+84+ 90}{7} = 81.29$

Subtract the two scores.

$81.29-79.83 = 1.46$

His mean test score increased by 1.46.

8 0

4 years ago

Suppose Kaitlin places $6500 in an account that pays 12% interest compounded each year.

Leya [2.2K]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 1 year}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1 \end{cases}$

$\bf A=6500\left(1+\frac{0.12}{1}\right)^{1\cdot 1}\implies A=6500(1.12)\implies A=7280 \\\\[-0.35em] ~\dotfill$

$\bf ~~~~~~ \textit{Compound Interest Earned Amount \underline{for 2 years}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$6500\\ r=rate\to 12\%\to \frac{12}{100}\dotfill &0.12\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases}$