The time it will take the principal to grow to the desired amount is 0.7 years
Using the compound interest formula :
A = P(1 + r/n)^(nt)
A = final amount = 225,000
P = principal = 180,000
r = rate = 3.12%
n = Number of compounding times per period = 12(monthly)
t = time
225000 = 180000(1 + (0.0312 /12))^(12t)
Divide both sides by 180000
225000/180000 = (1 + (0.0312 /12))^(12t)
1.25 = 1.026^12t
Take the log of both sides
0.0969100 = 0.0111473 × 12t
0.0969100 = 0.1337676t
Divide both sides by 0.1337676 to isolate t
0.0969100 / 0.1337676 = t
0.7244 years
0.7 years
It will take 0.7 years for the amount to grow
Learn more : brainly.com/question/21270833?referrer=searchResults
Answer:
f(0)=-2
Step-by-step explanation:
We are given that f(x)=3x-2
And we are asked to determine f(0)
In order to do so, we will replace x with 0 in our function
Hence
f(0) = 3(0)-2
f(0)=0-2
f(0)=-2
<span> Slope = 0.034/2.000 = 0.017
k-intercept = -32297/20 = -1614.85000<span>
f-intercept = 32297/1180 = 27.37034</span></span>
Answer:
22.96 cm
Step-by-step explanation:
Let the point of contact of the tangent with the circle be R.
Let the centre of the circle be O.
We are told that from Point P, the length of the tangent is 24 cm.
Thus, PR = 24 cm
Now, the radius will be perpendicular to the tangent at the point of contact with the circle.
Thus, ORP will form a right angle triangle where ∠R = 90°
Since radius = 7 cm, we can use pythagoras theorem to find OP which is the distance of P from the centre.
Thus;
OP = √(24² - 7²)
OP = √527
OP = 22.96 cm
Solution for What is 75 percent of 180:
75 percent *180 =
( 75:100)*180 =
( 75*180):100 =
13500:100 = 135
Now we have: 75 percent of 180 = 135
Question: What is 75 percent of 180?
Percentage solution with steps:
Step 1: Our output value is 180.
Step 2: We represent the unknown value with $x$x.
Step 3: From step 1 above,$180=100\%$180=100%.
Step 4: Similarly, $x=75\%$x=75%.
Step 5: This results in a pair of simple equations:
$180=100\%(1)$180=100%(1).
$x=75\%(2)$x=75%(2).
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{180}{x}=\frac{100\%}{75\%}$
180
x=
100%
75%
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{180}=\frac{75}{100}$
x
180=
75
100
$\Rightarrow x=135$⇒x=135
Therefore, $75\%$75% of $180$180 is $135$