Answer:
20 years old
Step-by-step explanation:
Let us assume that the son's age is x.
Therefore,
2.5x = 55 - 5
2.5x = 50
x = 20 years old
hope this helps :)
Answer:
3.3%
Step-by-step explanation:
compound interest: A = Pe^(rt)
A = 534.46
P = 450
t = 5
534.46/450 = e^(5r)
e^(5r) = 1.18
lne^(5r) = ln 1.18
(5r)lne = ln1.18
ln1.18 = 5r
5r = 0.165
r = 0.033
or 3.3%
Answer: -4.8, -4.08, -3.9, 0, 3, 3.1
Step-by-step explanation:
Think of these numbers on a number line. Starting at zero number to the right all positive numbers ex: 0,1,2,3,4
Then, starting at zero moving left number negative numbers ex: -4,-3,-2,-1,0
The measure of m∠KPN is 68°.
<u>Step-by-step explanation:</u>
From the given diagram, we are given with lines passing through a point P creating different angles.
Data given,
m∠KPN = 4x°.
m∠NPO = (x+5)°.
And m∠KPO= 90°.
The m∠KPO is spitted into m∠KPN and m∠NPO.
Thus the sum of m∠KPN and m∠NPO will be m∠KPO.
⇒m∠KPN + m∠NPO =m∠KPO.
Substitute the values to find x value.
4x°+(x+5)°= 90°.
(°5x+5)=90°.
5x°=90°-5°.
5x°=85°.
x=.
x= 17.
⇒m∠KPN = 4x°.
=4(17)°.
m∠KPN =68°.
Thus the measure of m∠KPN is 68°.