Answer:
because x,y,z are in continuous proportion
=> x/y = y/z
<=> xz = y² =>
(1)
with (1), we have:
Step-by-step explanation:
Answer:
1917
Step-by-step explanation:
that was dummy ez lazy boy
Answer:
Step-by-step explanation:
Arithmetic sequence:
Here a is the first term and d is the common difference.
⇒ ------------(I)
⇒ a + 19d = 100 ---------(II)
Subtract equation (I) from (II)
(I1) a + 19d = 100
(II) a + 13d = 46
<u>- - -</u>
6d = 54
d = 54 ÷ 6
Substitute d = 9 in equation(I) and find 'a',
a + 13*9= 46
a + 117 = 46
a = 46 - 117
a = -71
= -71 + 18
= -53
= -71 + 54
= -17
= -71 + 9*n - 1 *9
= -71 + 9n - 9
= -71 - 9 + 9n
= - 80 + 9n
A car is worth $300
Step-by-step explanation:
A board game allows players to trade and sell game pieces of equal value
- Player 1 traded three cars plus $100 for a house
- Player 2 sold two houses and a car for $2300
We need to find how much the car is worth
Assume that the car is worth $x and the house is worth $y
∵ Player 1 traded three cars plus $100 for a house
∴ 3 x + 100 = y
- Subtract 100 from both sides
∴ 3 x = y - 100
- Subtract y from both sides
∴ 3 x - y = - 100 ⇒ (1)
∵ Player 2 sold two houses and a car for $2300
∴ x + 2 y = 2300 ⇒ (2)
Now we have system of equation to solve it
Multiply equation (1) by 2 to eliminate y
∵ 6 x - 2 y = - 200 ⇒ (3)
- Add equations (2) and (3)
∴ 7 x = 2100
- Divide both sides by 7
∴ x = 300
A car is worth $300
Learn more:
You can learn more about the system of equations in brainly.com/question/6075514
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Answer:
3.25 years (nearest hundredth)
Step-by-step explanation:
<u>Compound Interest Formula</u>
where:
- A = final amount
- P = principal amount
- r = interest rate (in decimal form)
- n = number of times interest applied per time period
- t = number of time periods elapsed
Given:
- A = $4916
- P = $4000
- r = 6.4% = 0.064
- n = 4 (quarterly)
Substitute the given values into the formula and solve for t:
Therefore, it will take 3.25 years (nearest hundredth) for the account to grow to $4916.
Learn more about compound interest here:
brainly.com/question/27747709
brainly.com/question/27806277