Answer:
x = 5
Step-by-step explanation:
4x + 3 = 23
Subtract 3 from both sides;
4x = 20
Divide both sides by 4;
x = 5
Answer:
5m
and
-8n
Step-by-step explanation:
7m - 2m = 5m
and
-5n - 3n = -8n
Have a great day
Answer:
$8,240
Step-by-step explanation:
We are given that,
Principle amount in the savings account, P = $5,000.
Rate of interest, r = 5% = 0.05
Time period, t = 10
Also, the interest is compounded monthly, n = 12
As, we now that the value of the investment is given by 
Thus, we have,
Investment Value = 
i.e. Investment Value = 
i.e. Investment Value = 
i.e. Investment Value = 
i.e. Investment Value = $8,240
Hence, the investment amount after 10 years is $8,240.
Given that JKLM is a rhombus and the length of diagonal KM=10 na d JL=24, the perimeter will be found as follows;
the length of one side of the rhombus will be given by Pythagorean theorem, the reason being at the point the diagonals intersect, they form a perpendicular angles;
thus
c^2=a^2+b^2
hence;
c^2=5^2+12^2
c^2=144+25
c^2=169
thus;
c=sqrt169
c=13 units;
thus the perimeter of the rhombus will be:
P=L+L+L+L
P=13+13+13+13
P=52 units