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3 years ago

Add 2.2 and 41.5 explain

Mathematics

1 answer:

Vladimir [108]3 years ago

8 0

Answer:

43.7

Step-by-step explanation:

first you line up the decimals. Now you add 2+5 which is 7 then add 41+2=43. Now you have 43.7

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Find two positive real numbers whose product is a maximum. the sum of the first and three times the second is 60.

maksim [4K]

P = f*s
f +3s = 60

p = (60 -3s)*s = 3(20 -s)*s

This equation describes a parabola that opens downward. The roots of the equation are s=0 and s=20, so the axis of symmetry is s=(0+20)/2 = 10. That is, the vertex (maximum) will be found at s=10.

The second number is 10. The first number is 60-3*10 = 30.

The product is maximized when the first number is 30 and the second is 10.

4 0

3 years ago

A young boy is growing at a rate of 3 cm per month. He is currently 80 cm

kondaur [170]

The answer is 40 months

8 0

3 years ago

Read 2 more answers

PLEASE HELP ME ITS MY LAST QUESTION!!

shepuryov [24]

100 = 10^2

1000 = 10^3

10000 = 10^4

0.1 = 10^(-1)

0.01 = 10^(-2)

0.001 = 10^(-3)

Now,

100 × 0.1 = 10^2 × 10^(-1)

= 10

5 0

3 years ago

-Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has

pochemuha

The value of home today is $ 424527.63

Solution:

Given that, Twenty years ago, Mr. Davis purchased his home for $160,000

Since then, the value of the home has increased about 5% per year

To find: Exponential function to find the value of home today

The exponential growth function is given by:

$y = a(1 + r)^t$

Where, "y" is the worth after "t" years

"a" is the initial amount

"r" is the rate of interest per year

From given information,

a = 160000

t = 20 years

$r = 5 \% = \frac{5}{100} = 0.05$

Substituting the values we get,

$y = 160000(1 + 0.05)^{20}$

Thus the exponential function is found

Let us find the value

$y = 160000(1 + 0.05)^{20}\\\\y = 160000(1.05)^{20}\\\\y = 160000 \times 2.653\\\\y = 424527.63$

Thus the value of home today is $ 424527.63

5 0

3 years ago

18 POINTS! At the AoPS office, mice vary inversely with cats, that is, mice=k/cats, for some value of k. When there are 3r-19 ca

Blizzard [7]

Answer:

k=30

Step-by-step explanation:

The number of mice vary inversely with cats. This is written as:

$Mice \propto \dfrac{1}{Cat} \\Mice = \dfrac{k}{Cat}$

When there are 3r-19 cats, there are 2r+1 mice

$2r+1 = \dfrac{k}{3r-19}\\$Cross multiply$\\k=(3r-19)(2r+1)$

When there are 6r-27 mice, there are r-5 cats.

$6r-27 = \dfrac{k}{r-5}\\$Cross multiply$\\k=(6r-27)(r-5)$

Taking the values of k above, we have:

$k=(3r-19)(2r+1) =(6r-27)(r-5)\\(3r-19)(2r+1) =(6r-27)(r-5)\\6r^2+3r-38r-19=6r^2-30r-27r+135\\$Collect like terms\\6r^2-6r^2+3r+30r-38r+27r-19-135=0\\22r-154=0\\22r=154\\$Divide both sides by 22\\r=7$

Therefore:

$k=(3r-19)(2r+1) \\=(3*7-19)(2*7+1)\\=(21-19)(14+1)\\=2*15\\k=30$

8 0

3 years ago

Add 2.2 and 41.5 explain​

Add 2.2 and 41.5 explain