Answer:
0.054
Step-by-step explanation:
Using the compound formula A=P(1+r/n)^nt we can plug in the numbers we know. A being the total, P the initial amount, n is the number of compounds in a year, and t is the number of years passing. So 10300= 4900(1+ r/2)^2(14). We have to isolate r in order to find the rate. We can divide both sides by 4900, giving us 103/49= (1+ r/2)^28. Then we take the 28 square root from both sides. 1.02689= 1 + r/2. Subtract 1 from both sides. 0.02689= r/2. Then multiply both sides by two. r= 0.054.
Answer:
1. -4/7
2. 4/3
3. x^2 + 16x + 63
4. x^2 + 19x + 90
Step-by-step explanation:
1. (1, 8) and (8, 4)
slope = m = (8 - 4)/(1 - 8) = -4/7
2. (2, 4) and (5, 8)
slope = m = (8 - 4)/(5 - 2) = 4/3
3. (x + 9)(x + 7) =
= x^2 + 7x + 9x + 63
= x^2 + 16x + 63
4. (x + 10)(x + 9) =
= x^2 + 9x + 10x + 90
= x^2 + 19x + 90
Initial salary = $50,000 .
Rate of raise = 5% each year.
Therefore, each next year salary would be 105% that is 1.05 times.
5% of 50,000 = 0.05 × 50000 = 2500.
Therefore raise is $2500 each year.
According to geometric sequence first term 50000 and common ratio 1.05.
Applying geometric sequence formula
1)
2) In order to find salary in 5 years we need to plug n=5, we get
= 50000(1.21550625)
<h3>=$60775.3125.</h3>
3) In order to find the total salary in 10 years we need to apply sum of 10 terms formula of a geometric sequence.
Plugging n=10, a = 50000 and r= 1.05.
= 628894.62678.
<h3>Therefore , you will have earned $ 628894.62678 in total salary by the end of your 10th year.</h3>
Answer: 5%
Step-by-step explanation: If there is one broken egg in each crate (1/20), you would change that to5%
And if there are ten crates, then you see how many eggs there a re total.
(10 × 20 = 200)
If there are 200 eggs and for every 20 eggs there is on broken one, then there will be 10 broken eggs total. or 10/200
convert the fraction to a decimal ( 10 ÷ 200 = .05)
then convert the decimal to a percent. .05 is equal to 5%
PLEAZE RATE BRAINLIEST!!!