Answer:
$755.80
Step-by-step explanation:
Determine the compound amount first and then subtract the principal from it, to find the amount of interest.
The compound amount formula is A = P (1 + r/n)^(nt), where
P is the initial principal, r is the interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years. Here, P = $2179; t = 5 yrs; r = 0.06; and n = 4 (quarterly compounding).
We get:
A = $2179(1 + 0.06/4)^(4*5), or $2179(1.015)^20, or $2179(1.347) = $2937.80.
The compound amount is $2934.80. Subtracting the $2179 principal results in the interest earned: $755.80.
<h3>
Step-by-step explanation:</h3>
<u>Pythagorus theorum:</u>
9² = 3² + YZ²
81 - 9 = YZ²
√72 = YZ
∴YZ= 8.48 ≈ 8.5
<u>Trigonometry:</u>
We have adjacent as 3, and hypotenuse as 9
cos X = 3/9
X= cos∧-1 (3/9) → <em>[cos inversed]</em>
∴X= 70.5°
We have opposite as 3 and hypotenuse as 9
sin Z= 3/9
Z= sin∧-1 (3/9)→<em> [sin inversed]</em>
∴Z= 19.47 ≈ 19.5
Answer:
AP = 22
Step-by-step explanation:
In a triangle, the centroid divides the median in the ratio 2:1.
It is given that AD is the median and AD = 33
It is also given that P is the centroid on the median AD.
Therefore, P divides AD in the ratio 2:1.
AP = 2k and PD = k
AD = 33
AP + PD = 33
2k + k = 33
3k = 33
k = 11
So, AP = 2k = 2(11) = 22
Answer:
8 intersections
Step-by-step explanation:
Miss Stevens drove through a total of 36 intersections on her way home from work last week.
At four of every 16 intersections Miss Stevens had to stop for a red light before she could drive through .
This is calculated as:
36 intersections ÷ 16 intersections
= 2 4/16
= 2 1/4
At four of every 16 intersections Miss Stevens had to stop for a red light before she could drive through .
4 of every 16 intersections = stop for a red light
Hence:
16/4 = 4 intersections
Hence: 4 intersections = 1 stop for a read
The number of intersections that Miss Stevens had to stop for a red light is:
2 × 4 intersections = 8 intersections
Answer:
3:8 3 sodas for 8 drinks
Step-by-step explanation:
6/16
3/8
