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Phoenix [80]
3 years ago
5

Suppose you obtain a $3,000 T-note with a 3% annual rate and maturity in 5 years. How much interest will you earn?

Mathematics
1 answer:
Gennadij [26K]3 years ago
7 0
Hi there

483.55$ in interest

Hope I helped <3
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What is 2.30+30= <br>5.30 True or false or<br>2.60 true or false ​
Kruka [31]

Answer:

false

Step-by-step explanation:

2.30+30= 32.30

5 0
3 years ago
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What is the equation of the circle whose diameter has endpoints (8,-2) and (-2,6)?
klemol [59]

Answer:

(x-3)^{2} +(y-2)^{2}=41

Step-by-step explanation:

step 1

Find the diameter of the circle

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

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

we have

A(8,-2)\\E(-2,6)  

substitute the values

d=\sqrt{(6+2)^{2}+(-2-8)^{2}}

d=\sqrt{(8)^{2}+(-10)^{2}}

d=\sqrt{164}\ units

d=2\sqrt{41}\ units

step 2

Find the center of the circle

The center is the midpoint of the diameter

The center is equal to

C=(\frac{8-2}{2},\frac{-2+6}{2})

C=(3,2)

step 3

Find the equation of the circle

The equation of the circle in center radius form is equal to

(x-h)^{2} +(y-k)^{2}=r^{2}

we have

(h,k)=(3,2)

r=2\sqrt{41}/2=\sqrt{41}\ units ---> the radius is half the diameter

substitute

(x-3)^{2} +(y-2)^{2}=(\sqrt{41})^{2}

(x-3)^{2} +(y-2)^{2}=41

4 0
3 years ago
A graphic artist has a picture that is 5 inches by 10 inches. The picture
tangare [24]

Answer:

15 inches

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
In triangle $ABC$, let angle bisectors $BD$ and $CE$ intersect at $I$. The line through $I$ parallel to $BC$ intersects $AB$ and
Umnica [9.8K]

Answer:

41

Step-by-step explanation:

If you work through a series of obscure calculations involving area and the radius of the incircle, they boil down to a simple fact:

... For MN║BC, perimeter ΔAMN = perimeter ΔABC - BC = AB+AC

.. = 17+24 = 41

_____

Wow! Thank you for an interesting question with a not-so-obvious answer.

_____

<em>A little more detail</em>

The point I that you have defined is the incenter—the center of an inscribed circle in the triangle. Its radius is the distance from I to any side, such as BC, for example.

If we use "Δ" to represent the area of the triangle and "s" to represent the semi-perimeter, (AB+BC+AC)/2, then the incircle has radius Δ/s. The area Δ can be computed from Heron's formula by ...

... Δ = √(s(s-a)(s-b)(s-c)) . . . . where a, b, c are the side lengths

For this triangle, the area is Δ = √38480 ≈ 196.1632 units². That turns out to be irrelevant.

The altitude to BC will be 2Δ/(BC), so the altitude of ΔAMN = (2Δ/(BC) -Δ/s). Dividing this by the altitude to BC gives the ratio of the perimeter of ΔAMN to the perimeter of ΔABC, which is 2s.

Putting these ratios and perimeters together, we get ...

... perimeter ΔAMN = (2Δ/(BC) -Δ/s)/(2Δ/(BC)) × 2s

... = (2/(BC) -1/s) × BC × s = 2s -BC

... perimeter ΔAMN = AB +AC

8 0
2 years ago
The probability of an event is 1. What do you know about the event?
Harrizon [31]

Answer:  A probability of 1 means the event is certain to happen.  A probably of zero means the event is certain not to happen.

3 0
3 years ago
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