Answer:
y = -3/2x +10
Step-by-step explanation:
y = mx+b where m is the slope and b is the y intercept
y = 2/3x +b
The slope is 2/3
We want a line perpendicular
Slopes of perpendicular lines multiply to -1
m * 2/3 = -1
Multiply by 3/2
m * 2/3 * 3/2 = -1 * 3/2
m = -3/2
The slope of the perpendicular line is -3/2
We have the slope and a point (4,4)
y = -3/2 x +b
4 = -3/2(4) +b
4 = -6+b
Add 6 to each side
4+6 = -6+6+b
10 =b
y = -3/2x +10
Answer:
This graph will help you.
Step-by-step explanation:
Answer:
The principal required to accumulate interest of $ 1,008.00 on a rate of 4.5% per year for 7 years is $ 3200.
Step-by-step explanation:
Given:
Interest I = $ 1008
Time period t = 7 years
Rate of Interest per year r = 4.5% = 4.5/100 = 0.045
To determine:
Initial deposit P = ?
Using the simple interest formula
I = Prt
P = I / rt
P = 1008 / ( 0.045 × 7 )
P = $ 3200
Therefore, the principal required to accumulate interest of $ 1,008.00 on a rate of 4.5% per year for 7 years is $ 3200.
Yes.
If you have a RIGHT triangle with a 29-degree angle in it, and you
divide the length of the leg adjacent to the angle by the length of the
hypotenuse, then it doesn't matter whether the triangle is drawn on
the head of a pin or on a piece of paper that reaches from the Earth
to the Moon, the quotient of (adjacent)/(hypotenuse) will always be
the same number ... about 0.875 .
That number is a property of every 29-degree angle, no matter the size
of the right triangle that it's in. It's called the cosine of 29 degrees.
If you were to divide the leg opposite the 29-degree angle (instead of
the adjacent leg) by the length of the hypotenuse, you'd get a different
number ... about 0.485 . That number is also a property of every 29-degree
angle, no matter the size of the triangle around it. That one is called
the sine of 29 degrees.
I just used 29 degrees as an example. Every angle has a sine and
a cosine, and a few other things too.
If you have an angle, there's no easy way to calculate its sine or its
cosine. You just have to look them up. They're in tables in books,
or on line (just put 'cosine 29' in Google), and if you have a calculator,
they're probably on your calculator too.
You don't know yet what these are good for, or what you can do with
them. That'll be coming up in math before you know it !
So the easiest answer to your question is:
Every angle has properties, characteristics, and aspects of its
personality that you never notice until you really get to know it.
They're called the sine, the cosine, the tangent, the cotangent,
the secant, and the cosecant. They're all numbers, and every
angle has a full set of them !
The amount that was invested 17 years ago is $2064.25.
The interest earned is $7935.75.
<h3>What is the amount invested 17 years ago?</h3>
The formula that would used to determine the amount that was invested 17 years ago is:
P = FV / (1 + r)^nm
Where:
- FV = Future value = 10,000
- P = Present value
- R = interest rate = 9.5 / 2 = 4.75%
- m = number of compounding = 2
- N = number of years = 17
10,000 / (1.0475)^(17 x 2) = $2064.25
Interest earned = 10,000 - 2064.25 = $7935.75
To learn more about future value, please check: brainly.com/question/18760477
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