How does the substance in a mudflow form?

Mathematics

2 answers:

ryzh [129]3 years ago

6 0

Rain mixes with soil

Dominik [7]3 years ago

3 0

Answer:

Rain mixes with soil

Step-by-step explanation:

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a right triangle has a hypotenuse with a length of 20. the lengths of the legs are whole numbers. what are the lengths of the le

Y_Kistochka [10]

Answer:

12;16

Step-by-step explanation:

The Pythagorean theorem states that

a^2+b^2=c^2 where a and b are legs of a triangle, and c is the hypotenuse.

This means that we have to find 2 values that once squared, add up to 400. (20^2)

Based on this, we can use the values of 12 and 16 to satisfy this.

12^2+16^2=144*256=400

Therefore, the legs of the triangle are 12 and 16.

5 0

3 years ago

Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make any payments

Mama L [17]

Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.

An increasing exponential function is modeled by:

$A(t) = A(0)(1+r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

In this problem:

Her initial balance is of $300, hence . A(0)=300

The growth rate is of 15%, hence R =0.15

Then,

$A(t) = A(0)(1+r)^t$

$A(t) = 300(1+0.15)^t\\A(t) = 300(1.5)^t\\$

It will reach $450 after t years, for which A(t) = 450, hence:

$A(t) =300(1.15)^t\\450= 300(1.15)^t\\1.15^t=\frac{450}{300}\\\\1.15^t =1.5\\log(1.15)^t=log1.5\\t log 1.15 = log 1.5\\t = \frac{log1.5}{log1.15}\\\\ t =2.9$