What is the perimeter of a parallelogram with side lengths 13 centimeters and 16 centimeters

Sam invests $800 at 6%/a compounded annually for 5 years. What is the total interest<br> earned?

s2008m [1.1K]

<h3>Answer: 270.58 dollars</h3>

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Work Shown:

A = account value after t years
P = principal or amount deposited = 800
r = interest rate in decimal form = 0.06
n = number of times we compound per year = 1
t = number of years = 5

So,

A = P*(1+r/n)^(n*t)

A = 800*(1+0.06/1)^(1*5)

A = 1070.58046208

A = 1070.58

After five years, the account will have $1,070.58 in it.

The amount of interest earned is A-P = 1070.58 - 800 = 270.58 dollars.

4 0

1 year ago

Y=12x-4<br><br>steps and answers:<br>

nexus9112 [7]

Add 4 to both sides. Y+4=12x divide both sides by 12 y+4 over 12 which = x switch sides x= y+4 over 12 that’s the answer and I’m 100% sure

8 0

2 years ago

Which is the graph of the solution set of −2x + 5y > 15? Image for option 1 Image for option 2 Image for option 3

Masteriza [31]

To make that graph you follow these steps.
1) Set the cartesian coordinate system:
- vertical axis: y
- horizontal axis: x
- positive x-semi axis: to the right
- negative x-semi axis: to the left
- positive y-semi axis: upward
- negative y semi axis: dwonward

2) solve the inequality for y:
given:                   -2x + 5y > 15
transpose-2x:            5y > 15 + 2x
divide by 5:                  y > 3 + (2/5)x

3) Graph

- draw the line y = 3 + (2/5)x, using a dotted line (i.e. - - - - - -)
- remember that 3 is the y intercept, and 2/5 is the slope
- the line is dotted because the solution does not include the points in the line.

- the solution is the region above and to the left of the dotted line.

4) See the figure attached for better visualization: the pink region is the solution of the inequality.

8 0

3 years ago

Read 2 more answers

PLEASE HELP <br> Find the value of x in the triangle shown below.

MA_775_DIABLO [31]

Answer:

82^o

Step-by-step explanation:

74 + 24 = 98

180 - 98 = 82^o

Hope it helps!

5 0

2 years ago

PLEASE HELPP ♥

kirza4 [7]

Answer:

An exponential function is a function of the form

f(x)=bx

where b≠1 is a positive real number. The domain of an exponential function is (−∞,∞) and the range is (0,∞).

Solve the equation: 52x−3=752x−3=7.

Since we can’t easily rewrite both sides as exponentials with the same base, we’ll use logarithms instead. Above we said that logb(x)=ylogb⁡(x)=y means that by=xby=x. That statement means that each exponential equation has an equivalent logarithmic form and vice-versa. We’ll convert to a logarithmic equation and solve from there.

52x−3log

⎛⎝⎜

⎞⎠⎟=7=2x−352x−3=7log5

⁡(7

)=2x−3

From here, we can solve for xx directly.

2xx=log5(7)+3=log5(7)+32

A logarithmic function is a function defined as follows

logb(x)=ymeans thatby=xlogb⁡(x)=ymeans thatby=x

where b≠1b≠1 is a positive real number. The domain of a logarithmic function is (0,∞)(0,∞) and the range is (−∞,∞)(−∞,∞).

Solve the equation:

log3(2x+1)=1−log3(x+2).log3⁡(2x+1)=1−log3⁡(x+2).

With more than one logarithm, we’ll typically try to use the properties of logarithms to combine them into a single term.

log3(2x+1)log3(2x+1)+log3(x+2)log3((2x+1)(x+2))log3(2x2+5x+2)2x2+5x+22x2+5x−1=1−log3(x+2)=1=1=1=3=0log3⁡(2x+1)=1−log3⁡(x+2)log3⁡(2x+1)+log3⁡(x+2)=1log3⁡((2x+1)(x+2))=1log3⁡(2x2+5x+2)=12x2+5x+2=32x2+5x−1=0

Let’s use quadratic formula to solve this.

x=−5±52−4⋅2⋅−1−−−−−−−−−−−√2⋅2=−5±

−−−−−−−−⎷4.x=−5±52−4⋅2⋅−12⋅2=−5±33

4.

What happens if we try to plug x=

4 0

2 years ago