Answer:
<u><em>4 : </em></u> Coordinate of Q = 
<em><u>5 : </u></em> Coordinate of point A = (-2,-2)
Explanation :
4) Given the points M(-3, -4) and T(5,0)
x₁= -3, y₁ = -4 and
x₂ = 5, y₂ = 0
m = 2, n = 1
Now apply the section formula,
{(mx₂+nx₁)/(m+n) , (my₂+ny₁)/(m+n)}
Coordinate of point Q =
5) AB:BC = 3:4
A = (x,y), end point
B = (4, 1)
C = (12, 5) end point
So, m = 3 & n = 4
x₁ = x , y₁ = y , x₂=12 & y₂ = 5
Apply section formula we get
4 = (36+4x)/7 & 1 = (15 + 4y)/7
28= 36 + 4x 7 = 4y + 15
4x =-8 4y =-8
x = -2 y = -2
The equation is for when you compound annually is
A=future amount
P=initial amount or principal
r=interest rate in decimal form
t=time in years
so
A=A
P=3500
r=7.5%=0.075
t=13
use your calculator
A=8961.4457
round to nearest dollar
A=$8961
that's how much the investment will be worth after 13 years
Answer:
3.9 to nearest tenth.
Step-by-step explanation:
Using the theorem of intersecting chords:
9 * y = 5 * 7
y = 35/9
= 3.888...
Answer:
Step-by-step explanation:
This is of the form
Where P(t) is the ending population, a is the original population, b is the growth rate, and t is time in years. We have everything we need to solve for t.
Let me explain the growth rate quickly. If the exponential function is a growth function, that means (in this particular situation) that we have 100% of the population and we are increasing it by 19%. That makes the growth rate 119%, which in decimal form is 1.19.
Begin by dividing both sides by 40000 to get
To get that t out of its current exponential position, take the natural log of both sides:
and the rules of logs say we can bring the exponent down out front:
ln(2) = t*ln(1.19)
Divide both sides by ln(1.19) to get t alone:
Doing that calculation on your calculator gives you that
t = 3.9846...
but rounding to the nearest tenth gives you that
t = 4.0 years
Answer:
Hundredths place
Step-by-step explanation:
6 in 6.54 is ones place
5 in 6.54 is tenths place
4 in 6.54 is hundredths
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