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suter [353]
3 years ago
5

How long will it take to earn $568.75 in interest if $2500 is invested at a 6.5% annual interest rate

Mathematics
2 answers:
zheka24 [161]3 years ago
8 0
3.5 years (so 4 years)
2500×0.065 (this gets the amout earned per year) =162.5
568.75÷162.5 (how many years to get the desired amount) =3.5
Goshia [24]3 years ago
7 0
I = Prt
568.75 = 2500(0.065)(t)
568.75 = 162.5(t)
3.5 = t

It will take 3.5 years to earn $568.75 in interest
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Find the distance from the point (8, 4) to the line y =<br> x+ 2.
natulia [17]

Answer:

The distance is 3\sqrt{2}\ units

Step-by-step explanation:

step 1

Find the slope of the give line

we have

y=x+2

so

the slope m is equal to

m=1

step 2

Find the slope of the perpendicular line to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal of each other

so

we have

m=1 -----> slope of the given line

therefore

The slope of the perpendicular line is equal to

m=-1

step 3

With m=-1 and the point (8,4) find the equation of the line

y-y1=m(x-x1)

substitute

y-4=-(x-8)

y=-x+8+4

y=-x+12

step 4

Find the intersection point lines y=x+2 and y=-x+12

y=x+2 -----> equation A

y=-x+12 ----> equation B

Adds equation A and equation B

y+y=2+12

2y=14

y=7

Find the value of x

y=x+2 -----> 7=x+2 -----> x=5

The intersection point is (5,7)

step 5

Find the distance between the point (8,4) and (5,7)

we know that

The distance from the point (8,4) to the line y=x+2 is equal to the distance from the point (8,4) to the point (5,7)

Find the distance AB

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute

d=\sqrt{(7-4)^{2}+(5-8)^{2}}

d=\sqrt{(3)^{2}+(-3)^{2}}

d=\sqrt{18}

d=3\sqrt{2}\ units

see the attached figure to better understand the problem

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Step-by-step explanation:

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3 years ago
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Paraphin [41]

Answer:

Distributive Property

Step-by-step explanation:

5y + 2 + 6 + 2y

= 5y + 2(y + 3) + 2 This is the distributive property of multiplication w.r.t. addition

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The distributive property of multiplication with respect to addition  is the one  which separates each term by using multiplication and then addition.

So we see that 2 is multiplied with y and 3 and then added with the like terms. If there was a minus sign the property would be distributive over subtraction.

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3 years ago
Find the value of X<br>​
arsen [322]

Answer:

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Step-by-step explanation:

1. All the angles in a pentagon add up to 540, so to find the value of x, we can use this equation x + 122 + 103 + 98 + 99 = 540.

2. (Solving)

Step One: Simplify both sides of the equation by adding like terms.

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Step Two: Subtract 422 from both sides.

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False
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