2 , 6 , 17 , 47 , <u>108</u> , ...
t(n) = 2n^3 - 8.5n^2 + 15.5n - 7
Answer: he should invest $16129 today.
Step-by-step explanation:
Let $P represent the initial amount that should be invested today. It means that principal,
P = $P
It would be compounded annually. This means that it would be compounded once in a year. So
n = 1
The rate at which the principal would be compounded is 7.6%. So
r = 7.6/100 = 0.076
The duration of the investment would be 6 years. So
t = 6
The formula for compound interest is
A = P(1+r/n)^nt
A = total amount in the account at the end of t years.
A = 25000
Therefore
25000 = P(1+0.076/1)^1×6
25000 = P(1.076)^6
25000 = 1.55P
P = 25000/1.55
P = $16129
Answer:
This is the graph of y = 0.4x
Answer:
(m³/3 + 5m/2 + 3)pi
Step-by-step explanation:
pi integral [(f(x))² - (g(x))²]
Limits 0 to 1
pi × integral [(2+mx)² - (1-mx)²]
pi × integral[4 + 4mx + m²x² - 1 + 2mx - m²x²]
pi × integral [m²x² + 5mx + 3]
pi × [m²x³/3 + 5mx²/2 + 3x]
Upper limit - lower limit
pi × [m²/3 + 5m/2 + 3]
Verification:
m = 0
[pi × 2² × 1] - [pi × 1² × 1] = 3pi
[m³/3 + 5m/2 + 3]pi
m = 0
3pi
Answer:
Yes, you can use cross products to solve for x in this proportion. Also, x is 360.
Step-by-step explanation:
Yes, you can use cross products to solve for x in that proportion.
Here's how you do it :
We cross product, getting :
18 * 100 = 5 * x
1800 = 5x
Divide by 5 on both sides to get x by itself.
360 = x
Yes, you can use cross products to solve for x in this proportion. Also, x is 360.
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