Consider the original triangle and its enlargement.

Mathematics

2 answers:

Trava [24]3 years ago

7 0

Answer:

I believe the scale factor is 2.

hammer [34]3 years ago

7 0

Answer:

(A) 2 - the Scale Factor

Step-by-step

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You decide to put $5000 in a savings account to save $6000 down payment on a new car. If the account has an interest rate of 7%

bezimeni [28]

$\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill&\$6000\\ P=\textit{original amount deposited}\dotfill &\$5000\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years \end{cases}$

$\bf 6000=5000\left(1+\frac{0.07}{12}\right)^{12\cdot t}\implies \cfrac{6000}{5000}\approx (1.0058)^{12t}\implies \cfrac{6}{5}\approx(1.0058)^{12t} \\\\\\ \log\left( \cfrac{6}{5} \right)\approx \log[(1.0058)^{12t}]\implies \log\left( \cfrac{6}{5} \right)\approx 12t\log(1.0058) \\\\\\ \cfrac{\log\left( \frac{6}{5} \right)}{12\log(1.0058)}\approx t\implies 2.63\approx t\impliedby \textit{about 2 years, 7 months and 16 days}$

6 0

4 years ago

a rope is stretched from the top of a 7-foot tent pole to point on the ground 12 foot the base of the pole. how long is the rope

bulgar [2K]

Answer:

Step-by-step explanation:

6 0

3 years ago

Solve by the linear combination method (with or without multiplication).

Dima020 [189]

The first step is to name the equations to make the process of solving them easy.

$6x+7y=-4....(1)\\5x-3y=-21....(2)$

The second step is to multiply each of the equations by the coefficient of the x term in the other equation. In this case, we will multiply equation (1) by 5 to get equation (3) and then multiply equation (2) by 6 to get equation (4).

$-30x-35y=20...(3)\\30x-18y=-126...(4).$

The next step is to add equation equation(3) and (4) together to get equation (5) as shown below;

$-53y=-106....(5)\\=> y= 2.$

The next step is to take the value of y and substitute it into any of the equations above. For this solution, I pick equation (1). The work done to solve for x is shown below.;

$6x+7y=-4\\=>6x+7(2)=-4\\=>6x=-18\\=>x=-3$