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FrozenT [24]
2 years ago
9

At the beginning of year 1 Lisa invests $500 at an annual compound interest rate of 3% she makes no deposits to or withdrawals f

rom the account which explicit formula can be used to find the accounts’s balance at the beginning of year 6 what is the balance
Mathematics
2 answers:
Alenkinab [10]2 years ago
7 0
6((500*.03)+500) this is the answer, I think.
Inga [223]2 years ago
5 0

Answer:

y = 500(1.03)ˣ; y = 579.64

Step-by-step explanation:

Since the amount is compounded yearly, we use the formula for compound interest:

y = p(1+r)ˣ, where y is the total amount, p is the amount of principal invested, r is the interest rate and x is the number of years.

In this problem, the amount invested, p, is 500; the interest rate, r, is 3% = 3/100 = 0.03.  This gives us

y = 500(1+0.03)ˣ, or

y = 500(1.03)ˣ.

To find the account balance at the beginning of year 6, we replace x with 5 (this is because only 5 time periods have passed):

y = 500(1.03)⁵ = 579.64.

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3 years ago
Simplify the expression. (16y54y3)12 Enter your answer in the box.
sp2606 [1]

Answer:

Simplify the expression: (16y^{\frac{5}{4}}y^3)^{\frac{1}{2}}

Use the exponent power:

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(16y^{\frac{5}{4}}y^3)^{\frac{1}{2}}

Apply the given rules;

(16y^{\frac{5}{4} +3} )^{\frac{1}{2}}

Simplify:

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then;

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7 0
2 years ago
Helppp plz i beg you i will give u a like and a 5 star
Annette [7]

Answer:

8/8

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4/4 = 1

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7 0
3 years ago
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vesna_86 [32]
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The exponential function is of the form
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5 0
3 years ago
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Llana [10]

Answer:

Step-by-step explanation:

If the first floor of the Willis Tower is 21 feet high. and each additional floor is 12 feet high, then the floor heights as we move from one floor to another we keep increasing by 12feets and forms an arithmetic progression as shown;

21, (21+12), (21+12+12), ...

<em>21, 33, 45...</em>

a) To write an equation for the nth floor of the tower, we will have to find the nth term of the sequence using the formula for finding the nth term of an arithmetic sequence.

The nth term of an arithmetic sequence is expressed as T_n = a + (n-1)d

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d is the common difference = 33-21 = 45-33 = 12

n is the number of terms

Substituting the given parameters into the formula;

T_n = 21+(n-1)*12\\T_n = 21+12n-12\\T_n = 21-12+12n\\T_n = 9+12n

<em>Hence the equation for the nth floor of the tower is expressed as </em>T_n = 9+12n<em></em>

<em></em>

b) To get the height of the 65th floor, we will substitute n = 65 into the formula arrived at in (a)

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<em>Hence the height of the 65th floor is 789feets.</em>

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