15400=1200 (1+0.04)^t
Solve for t
T=log(15,400÷1,200)÷log(1+0.04)
T=65 years
Answer:
5. x = 17
7. x = 2
Step-by-step explanation:
The applicable relation is, "the product of the near distance to the circle and the far distance to the circle is the same for each secant." Distance is measured from the point where the secants intersect.
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<h3>5.</h3>
Using the rule, we have ...
7(7+x) = 8(8+13)
7+x = 24 . . . . . . . . . divide by 7
x = 17 . . . . . . . . . . subtract 7
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<h3>7.</h3>
The same rule applies.
7(7 +6x -1) = 9(9 +x +3)
42x +42 = 9x +108 . . . . . . simplify
33x = 66 . . . . . . . . . . . . . subtract 9x+42
x = 2 . . . . . . . . . . . . . . divide by 33
Answer:
Step-by-step explanation:
is g(x) equal to 2x²-1, or 2x²+1 ?
f(x) = x²-3
g(x) = 2x²-1
g(f(x)) = g(x²-3) = 2(x²-3)²-1 =2(x⁴-6x²+9)-1 =
2x⁴-12x²+17
Answer:
40 pens
Step-by-step explanation:
Let the total number of pens Ron had be x.
We need to find the fraction of the pen that were blue.
3/8 of them were black and 1/4 of them were red. This means that the fraction of the pens that were blue is:
1 - (3/8 + 1/4) = 1 - 5/8 = 3/8
There were 15 blue pens. This means that 3/8 of x is 15:
3/8 * x = 15
x = 15 * 8/3 = 40 pens
Ron had 40 pens.
