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3 years ago

An initial investment of $100 is now valued at $150. The annual interest rate is 5%, compounded

Mathematics

1 answer:

Alika [10]3 years ago

5 0

Answer:

8 years

Step-by-step explanation:

100e^(.05t) = 150 . . . . . a better model of the situation

e^(.05t) = 150/100 . . . . divide by 100

0.05t = ln(1.5) . . . . . . . . take natural logs

t = ln(1.5)/0.05 ≈ 8.11 . . . . divide by the coefficient of t

The money has been invested for about 8 years.

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Answer the following questions. (a) 25% of what number is 16? (b) 85% of 40 is what?

kati45 [8]

Answer:

A is 64 and b is 34

Step-by-step explanation:

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2 years ago

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Evgesh-ka [11]

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2 years ago

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of te triangle is 16m to the power of 2, what are the base

Olenka [21]

Answer:

The base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

Step-by-step explanation:

Given:

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.

Now, to find the base and height of the triangle.

The base of triangle = $x\times\frac{1}{2} =\frac{x}{2} \ m.$

The height of triangle = $x\times \frac{3}{4} =\frac{3x}{4}\ m.$

The area of triangle = $16\ m^2.$

Now, we put the formula of area to solve:

$Area=\frac{1}{2} \times base\times height$

$16=\frac{1}{2} \times \frac{x}{2} \times \frac{3x}{4}$

$16=\frac{3x^2}{16}$

Multiplying both sides by 16 we get:

$256=3x^2$

Dividing both sides by 3 we get:

$\frac{256}{3} =x^2$

Using square root on both sides we get:

$\frac{16}{\sqrt{3}}=x$

$x=\frac{16}{\sqrt{3}}$

Now, by substituting the value of $x$ to get the base and height:

$Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.$

So, the base of triangle = $\frac{8}{\sqrt{3}} \ m.$

$Height=x\times\frac{3}{4} \\\\Height=\frac{16}{\sqrt{3}}\times \frac{3}{4} \\\\Height=\frac{12}{\sqrt{3}} \ m.$

Thus, the height of triangle = $\frac{12}{\sqrt{3}} \ m.$

Therefore, the base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

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3 years ago

I need clean and clear answers please! Thank you

lina2011 [118]

Okay so we get: subtract m + 8 from 5m + 11

5m + 11 = 16 + m or 16m

16m - 8 +m or 8m = 8m or 8 + m

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2 years ago

(5x+20) degrees plus 70 degrees what is x

andre [41]

Answer:

Do you mean 5x+20=70?

If so (Under)

Step-by-step explanation:

5x+20=70

5x=50

x=10

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2 years ago