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3 years ago

HELP NEEDED!!!

Mathematics

1 answer:

V125BC [204]3 years ago

6 0

a) The formula for compound interest is:

Total = starting amount x (1 + interest rate)^ number of years

Using the given information you have:

1200 = 500 x (1+0.045)^x where x is the length of time you want to find.

1200 = 500 (1.045)^x

Divide both sides by 500:

2.4 = 1.045^x

Use natural logarithms:

ln(1.045^x) = ln(2.4)

Solve for x:

X = ln(2.4) / ln(1.045)

X = 19.889 years ( Round the answer as needed).

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Please help quickly!!

erastovalidia [21]

Answer:

Step-by-step explanation:

6 0

2 years ago

Which could be the length?

BigorU [14]

Answer:

The possible length of the third side = 1 ft, 2 ft, 3 ft, 4 ft, 5 ft, 6 ft, 7 ft, 8 ft, 9 ft, 10 ft or 11 ft

Step-by-step explanation:

Given;

two side of the triangle, 6 ft and 6 ft

let the third side of the triangle = x

Apply the rules of length of a triangle to determine the third side of the triangle.

Based on this rule: (6 - 6) < x < (6 + 6)

0 < x < 12 ft

Therefore, the length of the third side will be greater than 0 but less than 12 ft

The possible length of the third side = 1 ft, 2 ft, 3 ft, 4 ft, 5 ft, 6 ft, 7 ft, 8 ft, 9 ft, 10 ft or 11 ft

8 0

2 years ago

The expression below is a sum of cubes.<br> 216x3 +64<br> true or false?

zepelin [54]

Since 216 is the cube of 6, 64 is the cube of 4 and x^3 is the cube of x, we have

$216x^3 + 64= (6x)^3+4^3$

so the expression is the sum of the cubes of 6x and 4

5 0

2 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Oduvanchick [21]

Answer:

see attached

Step-by-step explanation:

The Pythagorean theorem can be used to find the hypotenuse associated with each pair of legs. That tells you ...

c² = a² +b² . . . . . legs a, b; hypotenuse c

<h3>alternate form of Pythagorean theorem</h3>

For the purpose of this problem, it is convenient to consider a slightly different form of the equation.

For legs √a and √b, the hypotenuse √c is given by ...

(√c)² = (√a)² +(√b)²

c = a +b

That is ...

legs √a, √b ⇒ hypotenuse √(a+b)

<h3>application to this problem</h3>

Since the legs are (mostly) given in terms of square roots, the value under the radical for the hypotenuse is simply the sum of those:

legs: √1, √2 ⇒ hypotenuse √(1+2) = √3

legs: √2, √3 ⇒ hypotenuse √(2+3) = √5

legs: √5, √3 ⇒ hypotenuse √(5+3) = √8

legs: √5, √1 ⇒ hypotenuse √(5+1) = √6

_____

<em>Additional comment</em>

You may not see the leg lengths given as square roots very often. This is a rather unusual set of problems for hypotenuse length.

6 0

1 year ago

Read 2 more answers

The question that is asked

antoniya [11.8K]

The answer is A because 157 is to wide because it’s smaller then 23.

7 0

3 years ago