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Norma-Jean [14]
3 years ago
15

$2,000 at 9% simple interest; deposit $1,600

Mathematics
1 answer:
earnstyle [38]3 years ago
4 0

oops sorry.

180 was the 9% interest.

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A hypothetical square grows so that the length of it's diagonals are increasing at a rate of 8 m/min. How fast is the area of th
guapka [62]

Answer:

32m^{2}/min

Step-by-step explanation:

We let the length of the square be l, the diagonal be z and the area be A.

Then by Pythagoras theorem;

l^{2}+l^{2}=z^{2}\\2l^{2}=z^{2}

The are of a square of length l is given as;

A=l^{2}

Combining these two equations yields;

z^{2}=2A

A=\frac{z^{2} }{2}

Next, we have been given;

\frac{dz}{dt}=8

We are required to find;

\frac{dA}{dt} when z = 4

By chain rule;

\frac{dA}{dt}=\frac{dA}{dz}*\frac{dz}{dt}

Differentiating A=\frac{z^{2} }{2} with respect to z yields;

\frac{dA}{dz}=z

Therefore,

\frac{dA}{dt}=\frac{dA}{dz}*\frac{dz}{dt} = 8z

When z is 4m the area of the square will be increasing at a rate of;

8m/min * 4m = 32m^{2}/min

5 0
4 years ago
What is this number in standard form? <br> (8×100)+(4×1)+(6×1100)+(3×11,000)
Korvikt [17]

Answer:

40404

Step-by-step explanation:

is this helpful????

5 0
3 years ago
Read 2 more answers
30 percent of 117 is what
dybincka [34]
<span>30 percent of 117 is</span> 35.1.
4 0
3 years ago
Hi pls anwser will give brainliest
andrew11 [14]

Answer:

h=55.4 mm

Step-by-step explanation:

Area of a triangle = \frac{bh}{2} where b is base and h is height

now just plug and chug

227.14 = 8.2h/2

227.14=4.1h

h=227.14/4.1

h=55.4

check answer:

55.4 * 8.2 /2 = 227.14, as proven by my calculator

8 0
3 years ago
How do you convert 1.42 g/cm^2 to mg/mm^2 Step by Step?
dmitriy555 [2]
In the problem stated,we are asked to convert  1.42 g/cm^2 to mg/mm^2 . From the units given, 1 gram is equal to 1000 milligrams and 1 centimeter is equal to 10 millimeters. We square the second conversion to take consideration of the squaring of cm. in this case, the conversion is 1.42 g/cm2 * (1000 mg/1g)*(1 cm / 10 mm)^2 equal to 14.2 g/mm2
3 0
4 years ago
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