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cluponka [151]
2 years ago
6

Jamal puts $100 in an account that does not earn any interest. Every month after that, he deposits the same amount of money. Thi

s sequence represents his account balance for the first few months. $100, $125, $150, What is the explicit formula in function form for the amount of money in his account at the beginning of month n?
Mathematics
1 answer:
KonstantinChe [14]2 years ago
4 0

Answer:

Tn = 75+25n

Step-by-step explanation:

The balance are in arithmetic progression

$100, $125, $150...

The formula for calculating the nth term of the sequence is expressed as;

Tn = a+(n-1)d

a =100

d = 125 - 100 = 150 - 125

d = 25

n is the number of terms

Substitute

Tn = 100+(n-1)*25

Tn = 100 + 25n-25

Tn = 75+25n

Hence the nth term of the sequence is Tn = 75+25n

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Step-by-step explanation:

If the parabola has the form

y = a(x - h)^2 + k (vertex form)

then its vertex is located at the point (h, k). Therefore, the vertex of the parabola

y = \dfrac{1}{6}(x - 8)^2 + 6

is located at the point (8, 6).

To find the length of the parabola's latus rectum, we need to find its focal length <em>f</em>. Luckily, since our equation is in vertex form, we can easily find from the focus (or focal point) coordinate, which is

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\text{latus rectum} = 4\left(\dfrac{3}{2}\right) = 6

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3 years ago
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S_A_V [24]
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A laptop is 30% off the regular price of 920$ If a 6% sales tax is added to the cost what is total cost of the laptop
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