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3 years ago

I’ve got this and one more

Mathematics

2 answers:

Oxana [17]3 years ago

7 0

Answer:

x = 4.3588 ≅ 4.36 units

Step-by-step explanation:

We have given a right triangle.

Two sides of triangle is given.

Hypotenuse = 10 units , Base = 9 and Perpendicular=x = ?

We have to find the value of x.

We use pythagorean theorem to solve this.

(Perpendicular)²+(base)² = (hypotenuse)²

Putting values , we have

x²+(9)² = (100)²

x²+81 = 100

x² = 100-81

x² = 19

x = √19

x = 4.3588

We have to round it of to nearest hundredth.

x = 4.3588 ≅ 4.36 units

Nana76 [90]3 years ago

5 0

Again, a^2+b^2=c^2

c=10

b=9

10 squared is 100

9 squared is 81

100-81=19

The square root of 19, rounded to the nearest hundredth, is 4.36

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Answer:

Step-by-step explanation:

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3 years ago

At 10 percent interest, how long does it take to quadruple your money?

horsena [70]

It takes about 14.55 years for quadruple your money

Solution:

Given that,

At 10 percent interest, how long does it take to quadruple your money

Rule of 144:

The Rule of 144 will tell you how long it will take an investment to quadruple

Here,

Rate of interest = 10 %

Therefore, number of years to quadruple your money is obtained by dividing 144 by 10

Rule of 144 Formula:

$N = \frac{144}{R}$

Where:

N = Number of many years times.

144 = Is the constant variable.

R = Rate of interest.

$\rightarrow N = \frac{144}{10} = 14.4$

Thus it takes about 14.4 years for quadruple your money.

Another method:

If initial amount is $ 1 and it if quadruples it should be $ 4

We have to find the number of years if rate of interest is 10 %

Let "n" be the number of years

Then we can say,

$Amount = Principal(1+\frac{R}{100})^n$

$4 = 1(1+\frac{10}{100})^n$

$4 = 1(1+0.1)^n\\\\4= 1(1.1)^n\\\\4 = 1.1^n\\\\We\ know\ that,\\\\(1.1)^{14.55} = 1.1^n\\\\We\ know\ that\\\\If\ a^m = a^n\ then\ m = n\\\\Therefore,\\\\14.55 = n\\\\n = 14.55$

Thus Option D 14.55 years is correct

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