A principle of $3100 is invested at 6.5% interest, compounded annually. How much will the investment be worth after 12 years?

Mathematics

2 answers:

7nadin3 [17]3 years ago

4 0

He gets 2418 dollars

Tpy6a [65]3 years ago

3 0

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3100\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &12 \end{cases} \\\\\\ A=3100\left(1+\frac{0.065}{1}\right)^{1\cdot 12}\implies A=3100(1.065)^{12}\implies A\approx 6600.198$

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Compute the number of vinyl tiles, measuring 25 cm each side, needed to tile a kitchen measuring 102 ft. by 18 ft. Try not to ro

nadya68 [22]

Answer: 2730 tiles (Approx)

Step-by-step explanation:

Since, The side length of each side = 25

According to the question the shape of the tile is square.

Thus, the area of one tile = 25 × 25 = 625 $cm^2$

Also, we need to tile a kitchen measuring 102 ft. by 18 ft

Thus, the area of the room in which we have to tile = 102 × 18 = 1836 $feet^2$ = 1836×30.48 × 30.48 = 1705699.8144 $cm^2$

Thus, the total number of the tiles = the area of the room in which we have to tile / the area of one tile = $\frac{1705699.8144}{625} = 2729.11970304$