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2 years ago

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In mathematics department of a college has 9 male professors 15 female professors 13 Male teaching assistance and 10 female teac

hing assistance if a person is selected at random from a group find the probability that the selected person is a professor or male

1 answer:

Zinaida [17]2 years ago

4 0

Answer:

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A down arrow is drawn with its tip at (2, 0). Then it undergoes a translation described bythe directed line segment (−3, 1). Wha

alexandr1967 [171]

Answer:

down

Step-by-step explanation:

In mathematics a when dealing with graphs a translation is basically just moving points left/right and up/down but it does not change the shape of the original figure in any way just moves its position. In this scenario, the down arrow's tip will be moved from point (2,0) to (-3,1) but the arrow will still be the same size and still be pointing downward.

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3 years ago

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What is the equation of the line that passes through the point (-8,5) and has a slope of -1/4

tresset_1 [31]

Answer:

$y=\frac{-1}{4} x+3\\$

Step-by-step explanation:

$(y-5)=\frac{-1}{4} (x--8)\\(y-5)=\frac{-1}{4} (x+8)\\y=\frac{-1}{4} x-\frac{8}{4}+5 \\y=\frac{-1}{4} x-2+5\\y=\frac{-1}{4} x+3\\$

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A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest

OLEGan [10]

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

$t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150$

substitute in the formula above

$I=P_1(r_1t)+P_2(r_2t)$

$1,150=x(0.0525*1)+(25,000-x)(0.04*1)$

Solve for x

$1,150=0.0525x+1,000-0.04x$

$0.0525x-0.04x=1,150-1,000$

$0.0125x=150$

$x=\$12,000$

$|$25,000-x=\$13,000$

therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

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