Answer:
Here's one way to do it.
Step-by-step explanation:
-24 ÷ (-4)
-24 is the final number on the number line
-4 means you count by 4s on the number line moving backwards.
- Start at 0 facing forward.
- Move backwards in steps of four units from 0 to -24.
- Count the number of steps you took (six).
Answer: +6 (The sign is + because you are still facing forward).
Answer:
Slope- 5 y-int- (0,0)
Step-by-step explanation:
y=mx+b, where m=slope and b=y-int. m=5, and we don't see a b, so it must be 0.
The distance between the ground and the kite to the nearest foot is 64 ft.
<h3>What is a right angle triangle?</h3>
A right angle triangle is a triangle that has one of its sides as 90 degrees. The situation forms a right angle triangle.
Hence,
The length of the kite string is the hypotenuse side of the triangle formed.
The height between the ground and the kite is the opposite side of the triangle formed.
Therefore, using trigonometric ratio,
sin 40 = opposite / hypotenuse
sin 40 = h / 100
cross multiply
h = 100 sin 40
h = 100 × 0.64278760968
h = 64.2787609687
h = 64 ft
Therefore, the distance between the ground and the kite to the nearest foot is 64 ft.
learn more on right triangle here: brainly.com/question/27482803
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Answer: $4,331
Step-by-step explanation:
I will assume that the question meant 5.2% not 52% as this is quite excessive.
Katherine after 13 years.
Convert the variables;
n = 13 years = 13 * 365 = 4,745 days
r = 5.2% = 5.2/365 = 5.2/365%
Future value = P * ( 1 + r)^n
= 86,000 * (1 + 5.2/365%)⁴⁷⁴⁵
= $169,068
Michael after 13 years;
If compounded continuously, the formula is;
Future value = Pe^rt
= 86,000 * e⁰.⁰⁵ ˣ ¹³
= $164,737
Difference = 169,068 - 164,737
= $4,331
