What is the correct answer? please only put the answer.

Mathematics

1 answer:

KatRina [158]3 years ago

5 0

Answer:

156

Step-by-step explanation:

You might be interested in

Cannon took out a mortgage for $85,290 on his new house. If the interest rate is 8.5 percent and the loan is for 25 years, how m

steposvetlana [31]

Number of thousands on the amount of the loan is
85,290÷1,000=85.29

Monthly payment is
85.29×8.05=686.58

4 0

3 years ago

Read 2 more answers

Two perpendicular lines intersect at the origin. If the slope of the first line is -1/2, what is the equation of the second line

Dovator [93]

bearing in mind that perpendicular lines have <u>negative reciprocal</u> slopes.

now, they both intersect at 0,0, namely they both pass through it, we know the slope of the first one, so

$\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{-\cfrac{1}{2}}\qquad \qquad \qquad \stackrel{reciprocal}{-\cfrac{2}{1}}\qquad \stackrel{negative~reciprocal}{+\cfrac{2}{1}\implies 2}}$

so, we're really looking for the equation of a line whose slope is 2, and runs through (0,0).

$\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{0})~\hspace{10em} slope = m\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=2(x-0)\implies y=2x$

5 0

3 years ago

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

What is the area of the rectangle?<br><br> [1] un2

mezya [45]

(-2,3) to (2,-3)

6^2 + 4^2 = c^2

c = 7.21

————

(-2,3) to (1,5)

2^2 + 3^2 = c^2

c = 3.61

————

3.61 * 7.21 = approx. 26.03

The area is 26.03un^2

5 0

3 years ago

Maria ran at a rate of 3.4 miles per hour for 6.8 hours. How many miles did she run in total?

Akimi4 [234]

Answer:

6.8+3.4=10.2

Step-by-step explanation:

8 0

3 years ago