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3 years ago

The length of a rectangular piece of land is 4ft more than two times its width. The perimeter is 32ft. find the dimensions

1 answer:

3 0

L = 2w + 4

p = 2w + 2L

32 = 2w + 2(2w + 4)

32= 2w + 4w + 8

24 = 6w

4 = w

Now,

p = 2w + 2L
32 = 2(4) + 2L
32= 8 + 2L
24 = 2L
12 = L

check
p= 2w + 2L
32 = 2(4) + 2(12)
32 = 8 +24
32 = 32

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Mrs. Computer is 3 times older than her daughter, Mousy. The sum of their ages is 52. How old is Mousy?

grandymaker [24]

Mousy=m
Mrs. Computer=3m
m+3m=52
4m=52
m=52/4
m=13
mousy=13, Mrs. Computer=3*13=39

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3 years ago

The value of a certain car decreases by 16% each year. What is the 1⁄2-life of the car?

svet-max [94.6K]

Answer:

The half life of the car is 3.98 years.

Step-by-step explanation:

The value of the car after t years is given by the following equation:

$V(t) = V(0)(1-r)^{t}$

In which V(0) is the initial value and r is the constant decay rate, as a decimal.

The value of a certain car decreases by 16% each year.

This means that $r = 0.16$

$V(t) = V(0)(1-r)^{t}$

$V(t) = V(0)(1-0.16)^{t}$

$V(t) = V(0)(0.84)^{t}$

What is the 1⁄2-life of the car?

This is t for which V(t) = 0.5V(0). So

$V(t) = V(0)(0.84)^{t}$

$0.5V(0) = V(0)(0.84)^{t}$

$(0.84)^{t} = 0.5$

$\log{(0.84)^{t}} = \log{0.5}$

$t\log{0.84} = \log{0.5}$

$t = \frac{\log{0.5}}{\log{0.84}}$

$t = 3.98$

The half life of the car is 3.98 years.

7 0

3 years ago

Of video game that originally cost $25.99 is on sale for 50% off if you have $14 would you have enough money to buy the video ga

NeX [460]

Just round 25.99 to 26 and divide it by two. This gives you 13, which is less than 14.. You would be able to buy the video game.

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3 years ago

A group of friends were working on a student film. They spent all their budget on

Sophie [7]

Answer:

$820

Step-by-step explanation:

Total = Equipment + Props

T = 369 + 0.55T

0.45T = 369

I hope this helps!

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2 years ago

Please help fast!!! Part A How many solutions does the pair of equations for lines A and B have?

amm1812

Answer:

Part A: 1

Explain: The solution for a pair of lines is where they intersect.

Part B: (3,4)

Explain: (3,4) is the place where the lines intersect.

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2 years ago