What is the slope of the line below? *

Kim places £500 in a bank account the pays 3% simple interest each year

IgorLugansk [536]

She will gain 3% each year and after one year she will gain £15 leaving her total at £515

8 0

3 years ago

Can someone please explain how the answer is D

Kitty [74]

Step-by-step explanation:

Because the length of ST is calculated using pythagorean theorem:

${c}^{2} = {a}^{2} + {b}^{2}$

Where the square of the hypotenuse is equal to the sum of squares of the other two sides of a right triangle. In this case, the hypotenuse is ST and the other two sides are distances between S and T over the X and Y axis. Those are easily calculated:

$x = |sx - tx| \\ y = |sy - ty|$

Where x is the distance between S and T over X axis and Y distance over Y axis, sx and tx are X coordinates of S and T, sy and ty are Y coordinates of S and T.

Using that formula, you get that y = 17 and x = 8.

Back to the pythagorean theorem, if we put those number in the formula of the pythagorean theorem, we get something like this:

${c}^{2} = {x}^{2} + {y}^{2} \\ {c}^{2} = {8}^{2} + {17}^{2} = 64 + 289 \\ {c}^{2} = 353 \\ c = \sqrt{353}$

And finally, the correct answer is in fact 353.

3 0

3 years ago

Stephan con run 3 miles in 15.75 minutes. Keisha con run 5 miles in 22.6 minutes. Who can run faster?

Marina CMI [18]

Answer: Keisha can run faster than Stephan.

Step-by-step explanation:

Let's figure out how long it takes for them to run a mile.

$\frac{15.75}{3} =5.25\\\frac{3}{3} = 1$

It would take Stephan 5.25 minutes to run a mile

$\frac{22.6}{5} =4.52\\\\\frac{5}{5} =1$

It would take Keisha 4.52 minutes to run a mile

Since Keisha takes less time to run a mile she is faster.

3 0

3 years ago

Read 2 more answers

Maya is packing her backpack for hike in one pocket she puts in 1/4 pound bag of trail mix a water bottle weighing 2 1/5 pounds

xz_007 [3.2K]

This problem is simply asking us to add the weights which are presented as fractions. You can easily get the answer if you input them directly in a calculator. But I think the challenge here is to manually add fractions.

Let's add the two 1/4 lb weights because it is easier for they have a common denominator. Just simply add the numerators.

1/4 + 1/4 = 2/4

Then, add with this the fraction part of 2 1/5.

2/4 + 1/5 = ?
The least common denominator is 4*5 = 20. Then divide 20 with each denominator and multiply to their respective numerator.

2/4 + 1/5 = [(20/4 * 2) + (20/5 *1)]/20 = 14/20

14/20 is simplified to 7/10. Then add the whole number 2. <em>Therefore, the sum of all weights is 2 7/10 pounds.</em>

5 0

3 years ago

Jay spent ten more than three times the number of hours on his science fair project than jamie spent on her project jay spent 43

Aliun [14]

Why did both of their names have to start with the same letter

x=jay hours
y=jamie huours

x=10+3y
x=43

so
43=10+3y
minus 10
33=3y
divide 3
11=y

jamies spent 11 hours

8 0

3 years ago