Answer:
$10,144.93
Step-by-step explanation:
Amount formula; A = (Principal* rate* time) +Principal
A= (P*r*t) +P
A= 14,000
r= 9.5% OR 0.095 as a decimal
t= 4
Plug the numbers into the formula;
14,000 = (P* 0.095 *4 ) +P
14,000 = 0.38P +P
14,000 = 1.38P
Divide both sides by 1.38 to solve for P;
14,000/1.38 = P
P= 10,144.9275
Therefore, the present value (Principal) = $10,144.93
Answer:
2^4
Step-by-step explanation:
there are four 2's being multiplied to each other.
You can combine them and say 2 x 2 x 2 x 2 = 2 ^4
Answer: Original price = $43.10, Increase = $19.40, Final price = $62.50
<u>Step-by-step explanation:</u>
Let x represent the original price, then
8x(1.45) < $500
x < $43.10
Increase is 0.45x
0.45($43.10)
= $19.40
Final price is Original + Increase
$43.10 + $19.40
= $62.50
Answer:
<em>f(x)=x²-3x-10</em>
Step-by-step explanation:
\begin{gathered}f(x) = x {}^{2} - 3x - 10 \\ to \: find \: x \: intercept \:o r \: zero \: substitute \: f(x) = 0\: \\ 0 = x {}^{2} - 3x - 10 \\ x {}^{2} - 3x - 10 = 0 \\ x {}^{2} + 2x - 5x - 10 = 0 \\ x(x + 2) - 5x - 10 = 0 \\ x(x + 2) - 5(x + 2) = 0 \\ (x + 2).(x - 5) = 0 \\ x + 2 = 0 \\ x - 5 = 0 \\ x = - 2 \\ x = 5\end{gathered}
f(x)=x
2
−3x−10
tofindxinterceptorzerosubstitutef(x)=0
0=x
2
−3x−10
x
2
−3x−10=0
x
2
+2x−5x−10=0
x(x+2)−5x−10=0
x(x+2)−5(x+2)=0
(x+2).(x−5)=0
x+2=0
x−5=0
x=−2
x=5
therefore the zeros of the equation are x₁=-2,x₂=5
