Answer:
B or C
I forcibly pick C because it makes sense so just pick C
Step-by-step explanation:
Answer:
20= v+9+( -16 )
20= v-( 7 )
27= v
Step-by-step explanation:
Adding a negative is the sane as subtracting. Add like terms. Add 7 to both sides. 27= v
First calculate the future value of the annuity
The formula to find the future value of an annuity ordinary is
Fv=pmt [((1+r/k)^(kn)-1)÷(r/k)]
Fv future value?
PMT quarterly payment 1500
R interest rate 0.12
K compounded quarterly 4
N time 4 years
Fv=1,500×(((1+0.12÷4)^(4×4)
−1)÷(0.12÷4))
=30,235.32
Now compare the amount of the annuity with amount of the gift
30,235.32−30,000=235.32
So as you can see the amount of the annuity is better than the amount of the gift by 235.32
Second offer is better
Hope it helps!
Answer:
(a) Orthogonal, (b) Neither, (c) Parallel, d( Orthogonal
Step-by-step explanation:
a and b are parallel is a=kb
a and b if a dot b = 0
(a) a dot b = (9)(-4)+6(6)=-36+36=0
a and b are orthogonal
(b) a dot b = 40-7-21=12
a=kb -> there is no k value satisfying the equation
a and b are neither parallel or orthogonal
(c) a dot b = -12-108-48=-168
a=kb -> k=-3/4 satisfies the equation
a and b are parallel
(d) a dot b= 9-3-6=0
a and b are orthogonal
The function is updated by calculating the composite function h(f(c)), where f = 1.8c + 32
<h3>How to update the function?</h3>
The function is given as h(c)
Where
- c represents the temperature in Celsius
- h(c) represents the number of heat-stroke deaths per thousand people
When a temperature in Celsius is converted to Fahrenheit, the conversion equation is:
F = 1.8C + 32
This means that we update the function by calculating the composite function h(f(c)), where f = 1.8c + 32
<h3>How the graph would be transformed?</h3>
In (a), we have:
h(f(c)) and f = 1.8c + 32
Substitute f = 1.8c + 32 in h(f(c))
h(1.8c + 32)
The above means that:
- The graph would be vertically stretched by a factor of 1.8
- Then the graph would be shifted up by 32 units
Read more about function transformation at:
brainly.com/question/1548871
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