How many years would it take a $6,000 to triple in value with simple interest rate of 5%.
(Hint: start with finding what triple the value of 6,000 is and identify each of the terms in the
simple interest formula).
Please work

Explanation:

Imagine that you cross out the top-most square for each step of each diagram. The squares not crossed out have the following counts: 1, 4, 9

This is the sequence of perfect squares. So the rule will have us take the number n, and square it to get n^2. Then we add on the squares we crossed out earlier. This explains the "plus 1" at the end to get the answer of n^2+1

Answer:

[tex] {n}^{2} + 1 \\ \: respresents \: the \: following \: \\ function[/tex]

i hope it helped.

Answer:

1 1/6

Step-by-step explanation:

You can convert 7/6 into a mixed number by subtracting 1 from the improper fraction, because 1= 6/6

7/6 -6/6= 1 1/6

Answer:

7/6 would be 1 1/6

Step-by-step explanation:

To make it a number in general turn into a decimal.

Answer:

ahhh you didnt have to !!

Step-by-step explanation:

thank you so much, ill do the same!! check my page for a question w free brainliest

Answer:

[tex]each \: ribeye \: costs \: \boxed{(r) \to \: \$23.3664} ......................... .. \\ each \: grilled \: salmon \: dinners \: costs \: \boxed{(r) \to \: \$18.29912}[/tex]

Step-by-step explanation:

[tex]let \: ribeye \: be \to \: (r).......................... \\ let \: grilled \: salmon \: dinners \: be \to \: (g) \\ \tt{hence} \to\\ (5) \times 17r + 10g = \$580.22 \\(10) \times 21r + 5g = \$582.19 \\ \to \\ (85r + 50g = 2,901.1) \\ - (minus)\\ (210r + 50g =5,821.9 ) \\ - 125r = - 2,920.8 \\ r = \frac{ -2,920.8 }{ - 125} \\ \boxed{r = \$23.3664} \\ \tt{hence} \to\\17r + 10g = \$580.22 \\ 17(23.3664) + 10g = \$580.22 \\1 0g = \$580.22 - \$397.2288 \\ 10g = \$182.9912 \\ g = \frac{\$182.9912}{10} \\ \boxed{g = \$18.29912}[/tex]

Janice is currently 4.

In 12 years, Janice will be 16, and 2 years ago she was 2. That being said, 16 is eight times more than 2, thus meaning she is currently 4 years old.

I hope this helps!

Answer:

738 square ft

Step-by-step explanation:

Area of the composite figure

= 21*(12 + 9 + 6) + 9*(9 + 6) + 6*6

= 21*27 + 9*15 + 6*6

= 567 + 135 + 36

= 738 square ft

Answer:

28

Step-by-step explanation:

Step-by-step explanation:

For first triangle,

sin 45 = 3 / d

1 / root 2 = 3 / d

d = 3 root 2

For second triangle,

tan 60 = 7 / a

root 3 = 7 / a

a = 7 / root 3

Answer:

8

Step-by-step explanation:

We can use triangle inequality, let AC = x:

x+4 > 5

x+5 > 4

9 > x

Simplifying:

x>1

x>-1

9>x

Thus: 9>x>1

So the Largest whole number is 8

Answer:

the value will be equal to 0

Step-by-step explanation:

see the attached picture for solution --

Answer:

its 34

Step-by-step explanation: i

Answer:

A) Replace one equation with the sum/difference of both equations

Step-by-step explanation:

6x-5y=1

+

-2x+2y=-1

=

4x-3y=0

Answer:

2.5 miles west and 1 mile north

Step-by-step explanation:

Answer:

Step-by-step explanation:

A: 2x = 3

B: w+1.3 = 2.7

C: 3y = 5.1

D: z+⅓ = ½

9514 1404 393

Answer:

  obtuse

Step-by-step explanation:

You may remember that side lengths of 3, 4, 5 make a right triangle. Doubling those lengths to 6, 8, 10 will still give a right triangle.

The given triangle has a longest side (11) longer than would be appropriate for a right triangle (10), so the largest angle is larger than 90°.

The triangle is obtuse.

__

Comparison of a triangle to a right triangle with two sides the same is one of several ways the triangle can be classified. You can use the Law of Cosines to find the largest angle, or you can use a triangle solver (as we have below).

In case you don't recall that 3-4-5 makes a right triangle, you can use the Pythagorean theorem to find the longest side of a right triangle with the given shorter sides:

  hypotenuse = √(6² +8²) = √100 = 10

Your long side is longer, so your largest angle is larger than 90°.

Law of Cosines:

  angle = arccos((6² +8² -11²)/(2·6·8)) = arccos(-21/96) ≈ 102.6°

Answer:

x=3, y=5

Step-by-step explanation:

Answer:

y = 1

Step-by-step explanation:

To find the y-intercept (s), substitute in 0 for x and solve for y.

y = 2/5 x (0)+1

y-intercepts (0, 1)

Answer:

One reason, is because it clearer and easier to read.

Seeing two numbers (3^5) can let you know, in this example, 3x3x3x3x3 is harder to understand than 3^5.

3 is the number being multiplied, and 5 tells you how many times.

~Hope this helps~

Given:

The two points are (-1,2) and (5,-2).

To find:

The distance between the given points.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Using the distance formula, the distance between the given points is

[tex]d=\sqrt{(5-(-1))^2+(-2-2)^2}[/tex]

[tex]d=\sqrt{(5+1)^2+(-4)^2}[/tex]

[tex]d=\sqrt{(6)^2+16}[/tex]

[tex]d=\sqrt{36+16}[/tex]

On further simplification, we get

[tex]d=\sqrt{52}[/tex]

[tex]d=7.2111[/tex]

[tex]d\approx 7.21[/tex]

Therefore, the the distance between the given points is about 7.21 units.

Answer:

log(144) or 2.158

Step-by-step explanation:

Answer:

log(144)

Step-by-step explanation:

When you evaluate and multiply it out, this is what it turns out to be. Hope this helps!!!:)

Answer:

2x + 22

Step-by-step explanation:

3x - (1)x = 2x

10 + 12 = 22

therefore 2x + 22 is your answer

Answer:

C

Step-by-step explanation:

subtract : 3x - x = 2x

Add : 10 + 12 = 22

Answer: 2x + 22

Answer:

7/8 + 4/8 = 1 3/8.

Step-by-step explanation:

In words the answer is 1 and 3/8.

Answer:

-38

Step-by-step explanation:

Let's say that x= 1st number and y=2nd number.

In order to find the first number,  you have to find out the 2nd number which it says, "5 less than a second number", it would be y-5. then it says the "5 times the first is 8 more than 6 times the second". then there should be an equal sign because there is the word "is". The expression would be: 5(y-5)=6y+8. then solve the y. which is -33, then plug in the y to the y-5 and there you go!