Answer: A
Step-by-step explanation:
It wants you to make it an in improper fraction
Answer:
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1 + r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
a) From the information given,
P = $1000
r = 4% = 4/100 = 0.04
n = 1 because it was compounded once in a year.
t = 4 years
Therefore,
A = 1000(1 + 0.04/1)^1 × 4
A = 1000(1.04)^4
A = $1170
b) After 18 years, t = 18, therefore
A = 1000(1.04)^18
A = $2026
c) When A = $1500, then
1500 = 1000(1.04)^t
1500/1000 = (1.04)^t
1.5 = (1.04)^t
Taking log of both sides, it becomes
Log 1.5 = tlog(1.04)
0.176 = 0.017t
t = 0.176/0.017
t = 10.35 years
d) When A = $2000, then
2000 = 1000(1.04)^t
2000/1000 = (1.04)^t
2 = (1.04)^t
Taking log of both sides, it becomes
Log 2 = tlog(1.04)
0.301 = 0.017t
t = 0.301/0.017
t = 17.7 years
Answer:
x=7
Step-by-step explanation:
−3(x−1)+8(x−3)=6x+7−5x
(−3)(x)+(−3)(−1)+(8)(x)+(8)(−3)=6x+7+−5x(Distribute)
−3x+3+8x+−24=6x+7+−5x
(−3x+8x)+(3+−24)=(6x+−5x)+(7)(Combine Like Terms)
5x+−21=x+7
5x−21=x+7
Step 2: Subtract x from both sides.
5x−21−x=x+7−x
4x−21=7
Step 3: Add 21 to both sides.
4x−21+21=7+21
4x=28
Step 4: Divide both sides by 4.
4x/4=28/4
Answer
the answer is in the attached image
Step-by-step explanation:
just pretend the x is a d lol
Answer:
8.17 * 10^8
Step-by-step explanation:
Saturn is 9.1 * 10^8 miles from the sun, and earth is 9.3 * 10^7 miles from the sun. From this, we can see that Saturn is much farther from the sun than the earth.
To find the distance of one planet closer to the sun than the other planet, we can subtract 9.3 * 10^7 from 9.1 * 10^8.
Original expression: 9.1 * 10^8 - 9.3 * 10^7
Convert both sides to 10^7: 91 * 10^7 - 9.3 * 10^7
Subtract: 81.7 * 10^7
Simplify: 8.17 * 10^8
Let me know if this helps!