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2 years ago

An initial deposit of $7,000 earns 6.5% interest, compounded monthly. How

Mathematics

1 answer:

zavuch27 [327]2 years ago

6 0

Answer:

$34,300

Step-by-step explanation:

First, we need to find how much interest is earned in one month : 7,000 * 6.5% = 455

455 is how much you gain monthly, multiply that by 12 to find the annual interest so 455 * 12 = 5,460

You then multiply that number by 5 to find the interest of the span of the 5 years

5,460 * 5 = 27,300

You add the original number to the interest with 27,300 + 7,000 = 34,300 in the account

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What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?

Sati [7]

Answer-

The coordinates of the orthocenter of △JKL is (-4, 8)

Solution-

The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

For a right angle triangle, the vertex at the right angle is the orthocentre of the triangle.

Here we are given the three vertices of the triangle are J(-4,-1), K(-4,8) and L(2,8)

If the triangle JKL satisfies Pythagoras Theorem, then triangle JKL will be a right angle triangle.

Applying distance formula we get,

$JK^2= (-4+4)^2+ (8+1)^2=0+81=81\\\\KL^2= (-4-2)^2+ (8-8)^2=36+0=36\\\\JL^2= (-4-2)^2+(8+1)^2=36+81=117$

As,

$\Rightarrow 117=81+36$

$\Rightarrow JL^2=JK^2+KL^2$

$\Rightarrow \text{JKL is a right angle triangle}$

$\Rightarrow \angle K=90^{\circ}$

Therefore, the vertex at K (-4, 8) is the orthocentre.

3 0

2 years ago

Write an expression to represent volume of the composite figure.

ohaa [14]

V1 + V2

V1 = 1*2*1 = 2

V2 = 5*2*2 = 20

V1 + V2
2+20
22

7 0

3 years ago

Mike purchased 3 DVDs and 14 video games for $203. Nick went to the same store and bought 11 DVDs and 11 video games for $220. H

ZanzabumX [31]

Fist add 203 and 220 and you get 423.
Then add all the dvds 11+3 and you get 14 then
Next add all the video games 11+14 and you get 25
next divide 25 from 423 then you get 16.92
then divide the dvds 423 divided by 14 and you get 30.21

8 0

3 years ago

63% of a university's freshman class are majoring in Economics. If 3654 students in the freshman class are Economics majors, how

Troyanec [42]

Answer: 2302 students are in the freshman class.

Steps: Multiply 3,654 by .63 to find the percentage of students majoring in Economics.

Plz mark brainliest:)

3 0

3 years ago

How do i get the solution to 3 |b-12| = |15|

Iteru [2.4K]

3 |b-12| =|15|3b+36=15
b+36=5
b=-31 is your answer

6 0

3 years ago