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bulgar [2K]
2 years ago
15

Expand and simplify this equation plz, 4(3x+5) - 5(8x+2)

Mathematics
1 answer:
omeli [17]2 years ago
7 0

4(3x + 5) - 5(8x + 2) \\ 12x + 20 - 40x - 10 \\ 12 x - 40x + 20 - 10 \\  - 28x + 10

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Brian invests ?1900 into a savings account. The bank gives 3.5% compound interest for the first 2 years and 4.9% thereafter. How
Scorpion4ik [409]

let's check how much is it after 2 years firstly.


\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 &1900\\ r=rate\to 3.5\%\to \frac{3.5}{100}\dotfill &0.035\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=1900\left(1+\frac{0.035}{1}\right)^{1\cdot 2}\implies A=1900(1.035)^2\implies A=2035.3275


Brian invested the money for 6 years, so now let's check how much is that for the remaining 4 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}\dotfill &2035.3275\\ r=rate\to 4.9\%\to \frac{4.9}{100}\dotfill &0.049\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &4 \end{cases}


\bf A=2035.3275\left(1+\frac{0.049}{1}\right)^{1\cdot 4}\implies A=2035.3275(1.049)^4 \\\\\\ A\approx 2464.54\implies \boxed{\stackrel{\textit{rounded up }}{A=2465}}

4 0
3 years ago
At the grocery store, an 8-inch cherry pie costs $4.39 and a similar 10-inch cherry pie cost $6.15. which is the better deal?
ValentinkaMS [17]
For the 8 inch pie you are paying about 55 cents per inch 
for the 10 inch pie you are paying about 61 cents per inch 
so the 8 inch pie is a better deal 

hope this helped 
oh and to get those numbers divide 4.39 by 8 and 6.15 by 10 
5 0
3 years ago
Dean loves rocks! He has 666 pieces of granite, 333 pieces of marble, 141414 pieces of sandstone, and 111 pieces of slate.
uranmaximum [27]

Answer:

The ratio of sanstone to marble is... 141414 : 333

All you have to do is look at how much sandstone Dean has and how much marble he has, then put the amount of sandstone infront of the amount of marble because in the question it says what is the ratio of sandstone to marble and you see that sandstone is first.

Hope this helps! :)

Stay safe

5 0
2 years ago
A furnace was originally priced at $907.07 but went on sale for 33% off. If Omar bought the furnace and paid 9% sales tax, how m
Allisa [31]

Answer:

662.433221

Step-by-step explanation:

907.07 × 1.09 × 0.67

3 0
2 years ago
The information for two pay as you go cell phone companies is given
Serggg [28]
One company wants $10 per 3.5 hours, so they want 10 / 3.5 ≈ 2,86 dollars per hour (after rounding to the closest hundreths).

Second company wants $1.25 per half an hour, so they want 2 * 1,25 = 2,50 dollars per hour.

The unit rate is 2,86:2,50
5 0
3 years ago
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