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4 years ago

9

Translate to an algebraic expression

1 answer:

Nezavi [6.7K]4 years ago

3 0

1)n-16
2)8n
3)1/2n + 20
4)4n - 20
5)length + width
6)r × t + 10
7)(t - x) × 5

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if 11,100 is invested at 3.1 percent interest compounded monthly, how much will the investment be worth in 19 years?

Fynjy0 [20]

The formula for compound interest is:
A=P(1+r/n)^(nt)
Where A represents the amount of money in the account after t years, P is the principal (investment), n is the number of compoundings per year, and r is the interest rate in decimal form.
P=11,100
r=.031
n=12 (monthly)
t=19
A=11,100(1+.031/12)^(12*19)
A=11,100(1+. 002583)^(228)
A=11,100(1.002583)^(228)
A=11,100(1.80082)
A=$19,989.10

3 0

4 years ago

Read 2 more answers

write the equation of the line that passes through the point (-1,-6) and is perpendicular to a line that passes through the poin

Burka [1]

Answer:

$y=\frac{2}{3}x-\frac{16}{3}$

Step-by-step explanation:

step 1

Find the slope of the given line

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

(-2,5) and (-4,8)

substitute the values in the formula

$m=\frac{8-5}{-4+2}$

$m=\frac{3}{-2}$

$m=-\frac{3}{2}$

step 2

Find the slope of the perpendicular line to the given line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

so

$m_1*m_2=-1$

$m_1=-\frac{3}{2}$ ----> slope of the given line

therefore

$m_2=\frac{2}{3}$ ---> slope of the perpendicular line to the given line

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{2}{3}$

$point\ (-1,-6)$

substitute

$y+6=\frac{2}{3}(x+1)$

step 3

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y+6=\frac{2}{3}x+\frac{2}{3}$

$y=\frac{2}{3}x+\frac{2}{3}-6$

$y=\frac{2}{3}x-\frac{16}{3}$

4 0

4 years ago

Eric is painting the foyer of his home it measures 6.5 feet by 4.2 feet, with a 9-foot ceiling What is the walu area of the foye

kvv77 [185]

Answer: 192.6

Step-by-step explanation:

I took the test

8 0

3 years ago

Help me with this and explain

Contact [7]

$5 dollars is the answer

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3 years ago

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Ariel has already spent 79 minutes on the phone and she expects to spend 4 more minutes with every phone call she routed. In all

hjlf

Answer: 13

Subtract 131-79
Then, divide the sum (52) by 4
Ariel had to route 13 calls

8 0

4 years ago