Let the total amount that Sarah deposited be $x
using the annuity formula:
A=P[((1+r)^n-1)/r]
A=future value
r=rate
n=number of years
from the information given:
A=$500000
r=2.75%
n=65-42=23 years
p=$x
thus plugging our values in the formula we get:
500000=x[((1+0.0275)^(23)-1)/(0.0275)]
500000=31.50x
x=15,872.04883
She deposited 15,873.04883 per year
The monthly deposit will therefore be:
15873.04883/12=$1322.67
Container A + B = 11875L
Container B By itself holds 2391L
Container A + B - Container B = Container A
11875L - 2391L = 9484
Answer:
$3.23
Step-by-step explanation:
Given that,
Principal, P = $2,000
Rate of interest, r = 1.96%
Tie, n = 1 month = (1/12) years
The formula of compound interest is given by :
![CI=P[(1+\dfrac{R}{100})^n-1]\\\\CI=2000\times [(1+\dfrac{1.96}{100})^{1/12}-1]\\\\CI=3.23](https://tex.z-dn.net/?f=CI%3DP%5B%281%2B%5Cdfrac%7BR%7D%7B100%7D%29%5En-1%5D%5C%5C%5C%5CCI%3D2000%5Ctimes%20%5B%281%2B%5Cdfrac%7B1.96%7D%7B100%7D%29%5E%7B1%2F12%7D-1%5D%5C%5C%5C%5CCI%3D3.23)
So, the interest will she earn at the end of 1 month is $3.23
Answer:
D) 55/73
Step-by-step explanation:
The question is on trigonometry. Sine of an angle is obtained using the SOH of SOHCAHTOA formula of trigonometry. SOH is an acronym for sine, opposite and hypotenuse. Sine of an angle is obtained from the ratio of opposite and hypotenuse of a given triangle. Thus, SOH
is denoted as stated below.

Hence, given the above triangle,

Therefore, the sine of angle u = 55/73 (D)
![arc \ length \ of \ BD = \pi r ( \frac{\angle BPD}{180} ) \\ \\ \angle BPD=\angle APC=92^o \ \ \text{[vertical angle]} \\ \\ arcBD= \pi *8 *\frac{92}{180} \approx 4.09 \pi \ in \approx12.85 in ](https://tex.z-dn.net/?f=arc%20%5C%20length%20%5C%20of%20%5C%20BD%20%3D%20%5Cpi%20r%20%28%20%5Cfrac%7B%5Cangle%20BPD%7D%7B180%7D%20%29%20%20%5C%5C%20%20%5C%5C%20%5Cangle%20BPD%3D%5Cangle%20APC%3D92%5Eo%20%5C%20%5C%20%5Ctext%7B%5Bvertical%20angle%5D%7D%20%5C%5C%20%20%5C%5C%20arcBD%3D%20%5Cpi%20%2A8%20%2A%5Cfrac%7B92%7D%7B180%7D%20%20%5Capprox%204.09%20%5Cpi%20%20%5C%20in%20%5Capprox12.85%20in%0A)
Answer: ≈4.09π in. ≈12.85 in.