Hi! i’m not sure what the question is, could you please include that?
The group rent 11 river rent tubes and 4 cooler tubes.
Step-by-step explanation:
Rent for river rent tube = $20
Rent for cooler tubes = $12.50
Total spent = $270
Total tubes rented = 15
Let,
x be the number of river rent tube.
y be the number of cooler tubes.
According to given statement;
x+y=15 Eqn 1
20x+12.50y=270 Eqn 2
Multiplying Eqn 1 by 20
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 7.5
Putting y=4 in Eqn 1
The group rent 11 river rent tubes and 4 cooler tubes.
Keywords: linear equations, subtraction
Learn more about linear equations at:
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Factor: Trying to factor by splitting the middle term
The first term is 15a^2, its' coefficient is 15
The middle term is - 58a, its' coefficient is - 58a
The last term is "The Constant" is +48
Multiply the coefficient of the first term by the constant 15(48) = 720
Find two factors of 720, whose sum equals the coefficient of the middle term, which is -58
<span><span>-720
+
-1
=
-721 </span><span>
-360
+
-2
=
-362 </span><span>
-240
+
-3
=
-243 </span><span>
-180
+
-4
=
-184 </span><span>
-144
+
-5
=
-149 </span><span>
-120
+
-6
=
-126 </span><span>
-90
+
-8
=
-98 </span><span>
-80
+
-9
=
-89 </span><span>
-72
+
-10
=
-82 </span><span>
-60
+
-12
=
-72 </span><span>
-48
+
-15
=
-63 </span><span>
-45
+
-16
=
-61 </span><span>
-40
+
-18
=
-58
</span></span>
Factoring: 15a^2 - 58a + 48 = 0
Factor left side of equation:
(5a - 6)(3a - 8)
Set fractions equal to Zero
5a - 6 = 0 or 3a - 8 = 0
Answer : a = 6/5 = 1.200
or a = 8/3 = 2.667
Hope that helps!!!!
The correct answer to this question is <span>d.) integral from 1 to 2 of (2/(x+1))
</span>To solve this:
Since Δx = 1/n.
lim (n→∞) Δx [1/(1+Δx) + 1/(1+2Δx)+ ... + 1/(1+nΔx)]
= lim (n→∞) Σ(k = 1 to n) [1/(1 + kΔx)] Δx.
x <---> a + kΔx
a = 0, then b = 1, so that Δx = (b - a)/n = 1/n
Since (1 + kΔx) combination, a = 1 so that b = 2.
Then, f(1 + kΔx) <-----> f(x) ==> f(x) = 1/x.
This sum represents the integral
∫(x = 1 to 2) (1/x) dx, so the correct answer is <span>d.) integral from 1 to 2 of (2/(x+1))
Thank you for posting your question. I hope that this answer helped you. Let me know if you need more help.
</span>
Answer:
Base amount: $2,410.00
Interest Rate: 12% (yearly)
Effective Annual Rate: 12.68%
Calculation period: 3 years
$3,448.15
Step-by-step explanation:
The generic formula used in this compound interest calculator is
V = P(1+r/n)^(nt)
V = the future value of the investment
P = the principal investment amount
r = the annual interest rate
n = the number of times that interest is compounded per year
t = the number of years the money is invested for
