Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
c=1/4
Decimal Form:
c=0.25
Answer:
The value of annuity is 
Step-by-step explanation:
From the question we are told that
The periodic payment is 
The interest rate is 
Frequency at which it occurs in a year is n = 4 (quarterly )
The number of years is 
The value of the annuity is mathematically represented as
![P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]](https://tex.z-dn.net/?f=P_v%20%20%3D%20%20P%20%2A%20%20%5B1%20%20-%20%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%5E%7B-t%20%2A%20n%7D%20%5D%20%2A%20%5B%5Cfrac%7B%281%20%2B%20%5Cfrac%7Br%7D%7Bn%7D%20%29%7D%7B%20%5Cfrac%7Br%7D%7Bn%7D%20%7D%20%5D)
(reference EDUCBA website)
substituting values
![P_v = 250 * [1 - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]](https://tex.z-dn.net/?f=P_v%20%20%3D%20250%20%2A%20%20%5B1%20%20-%20%281%20%2B%20%5Cfrac%7B0.05%7D%7B4%7D%20%29%5E%7B-10%20%2A%204%7D%20%5D%20%2A%20%5B%5Cfrac%7B%281%20%2B%20%5Cfrac%7B0.05%7D%7B4%7D%20%29%7D%7B%20%5Cfrac%7B0.08%7D%7B4%7D%20%7D%20%5D)
![P_v = 250 * [1 - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]](https://tex.z-dn.net/?f=P_v%20%20%3D%20%20250%20%2A%20%20%5B1%20%20-%20%281.0125%20%29%5E%7B-40%7D%20%5D%20%2A%20%5B%5Cfrac%7B%281.0125%20%29%7D%7B0.0125%7D%20%5D)
![P_v = 250 * [0.3916 ] * [\frac{(1.0125)}{0.0125} ]](https://tex.z-dn.net/?f=P_v%20%20%3D%20%20250%20%2A%20%20%5B0.3916%20%5D%20%2A%20%5B%5Cfrac%7B%281.0125%29%7D%7B0.0125%7D%20%5D)
Answer:
Point A is translated to A" by T(0, -6), since A has been shifted 6 units down
check the picture, the translated triangle is A"'B"'C"'.
clearly the angle between B"'A"' and B"A"' is 90 degrees, so we can complete the transformation by a 90° clockwise rotation or a 270° counterclockwise rotation.
from the choices given, we see that is is a 270° counterclockwise rotation.
Answer: A.(o,-6). Ra,270
Read more on Brainly.com - brainly.com/question/4238499#readmore
Step-by-step explanation:
The exact value of the y in the similar right triangle is 2.2360679775 units
<h3 /><h3>How to find the side of a triangle?</h3>
The triangles are similar.
Similar triangles have corresponding sides of equal ratio.
The corresponding angles of similar triangle are equal.
Therefore, using similar ratio,
y / 5 = 1 / y
cross multiply
y × y = 5 × 1
y² = 5
square root both sides
y = √5
Therefore,
y = 2.2360679775 units
learn more on triangles here: brainly.com/question/2773823
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(-9)+(-6)+(-4)+(-1) is the expression and (-20) is the sum
