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3 years ago

Find how much was invested

Mathematics

1 answer:

Scilla [17]3 years ago

7 0

Answer:

t = Time

Step-by-step explanation:

A = X(1+.05)^t using X as the initial investment, compounded yearly

For $20000 more invested at 7%,

A' = (X+20000)(1+.07)^t

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6(x - 6) +2x = 6(2 - 3x) + 4x - 2x

gogolik [260]

Answer:

x=2

Step-by-step explanation:

6(x-6)+2x=6(2-3x)+4x-2x

6x-36+2x=12-18x+4x-2x

8x-36=-16x+12

24x-36=12

24x=48

x=2

4 0

2 years ago

Find the co-ordinates of the point of trisection of the line joining the points A(1,8) and B(4,2).

Licemer1 [7]

<u>coordinates of the point are (2,6) and (3,4)</u>

Answer:

Solution given:

let the given point be A(1,8) and B(4,2).

P and Q are the two points on AB such that

AP=PQ=QB=k

now

comparing AP and PB

AP=k

PB=2k

ratio of AP and PB = $\frac{1k}{2k}$ = ratio 1:2

now

finding p

for this

$(m_1,m_2)=(1,2)$

For AB

$(x_1,y_1)=(1,8)$

$(x_2,y_2)=(4,2)$

now by using division formula

$(x,y)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})$

$=(\frac{1*4+2*1}{1+2},\frac{1*2+2*8}{1+2})=(2,6)$

similarly

Q divides AB

Ratio of AQ and QB = $\frac{2k}{1k}$ = ratio 2:1

$(x_1,y_1)=(1,8)$

$(x_2,y_2)=(4,2)$

$(m_1,m_2)=(2,1)$

by using division formula

$(a,b)=(\frac{m_1x_2+m_2x_1}{m_1+m2},\frac{m_1y_2+m_2y_1}{m_1+m2})$

$=(\frac{2*4+1*1}{2+1},\frac{2*2+1*8}{2+1})=(3,4)$

4 0

2 years ago

An engineer makes different-size samples of a new material.

miv72 [106K]

Answer:

The mass of 100 cubic centimeters of the material would be

1,000 grams.

The mass of 500 cubic centimeters of the material would be

5,000 grams.

Step-by-step explanation:

3 0

3 years ago

ΔDʹEʹFʹ is a dilation of ΔDEF with the origin as the center of dilation.

blondinia [14]

The answer is (2,6).

5 0

3 years ago

"Two purple sea slugs are mated with each other. Among their numerous offspring, 428 have a purple integument and 152 have orang

Orlov [11]

Answer:55

Step-by-step explanation:

55x1=55

6 0

3 years ago