Answer: sure
Step-by-step explanation:
Answer:
$4040.57
Step-by-step explanation:
A=P(1+(r/n))^nt
P = Principal = 3000
r = rate = 0.03
n = no. times payed each year = 2
t = years = 10
A = 3000(1 + (0.03/2))^(2x10)
A = 3000(1.015)^20
A = 4040.57 (2.d.p)
Hope this helped!
Answer:
The length of the line segment AC is equal to 14
Step-by-step explanation:
The triangle above is an isosceles triangle, In an Isosceles triangle the two angles; B and C are the same, hence the two sides; AB and AC are also the same.
AB=2x and AC= 3x - 7
AB = AC
which implies;
2x = 3x - 7
subtract 3x from both-side of the equation
2x - 3x = 3x -3x -7
-x = -7
Multiply through by -1
x = 7
But we were ask to find the the length of the line segment AC
AC = 3x - 7
substituting x = 7 into the above equation will yield;
AC = 3(7) - 7 = 21 - 7 =14
Therefore the length of the line segment AC is equal to 14
Answers:
x = 7
The measure of angle D is 14 degrees
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Angle C and angle D are complementary, which means they add to 90 degrees.
(angle C) + (angle D) = 90
(12x-8) + (3x-7) = 90
12x-8 + 3x-7 = 90
(12x+3x) + (-8-7) = 90
15x-15 = 90
15x-15+15 = 90+15
15x = 105
15x/15 = 105/15
x = 7
So you have the correct x value. Nice work.
Now use this x value to find the measure of angle D
angle D = 3*x - 7
angle D = 3*7 - 7
angle D = 21 - 7
angle D = 14 degrees
Answer:
f(x) = 4x^2 -8x -32
Step-by-step explanation:
If "a" is a zero, then (x -a) is a factor. For some scale factor k, the equation can be written ...
f(x) = k(x +2)(x -4)
We want f(0) = -32, so ...
f(0) = -32 = k(0 +2)(0 -4) = -8k
4 = k . . . . . divide by -8
Then the factored equation is ...
f(x) = 4(x +2)(x -4)
Multiplying it out gives ...
f(x) = 4x^2 -8x -32
