Suppose you borrow 13,000 for four years at 7% toward the purchase of a car.

1 answer:

5 0

Amount borrowed, P = 13000
Interest, i = 0.07/12 per month
number of periods (months), n = 4*12 = 48

Monthly payment,
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{13000(.07/12*(1+.07/12)^{48}}{(1+.07/12)^{48}-1}$
=311.30 (to the nearest cent)

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PLEASE HELP!!<br><br> what is the explicit formula for this sequence -7, -4, -1, 2, 5

trasher [3.6K]

Answer:

The explicit formula for the given expression is $a_n=-10+3n$ .

Step-by-step explanation:

The given sequence is

-7, -4, -1, 2, 5

The difference between two consecutive terms is same, therefore the given sequence is an arithmetic sequence.

The first term of the given AP is -7 and the common difference is

$-4-(-7)=-4+7=3$

The explicit formula for an AP is

$a_n=a+(n-1)d$

Where, a is first term, d is common difference and n is number of terms.

Substitute a=-7 and d=3 in the above equation.

$a_n=-7+(n-1)3$

$a_n=-7+3n-3$

$a_n=-10+3n$

Therefore the explicit formula for the given expression is $a_n=-10+3n$ .

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3 years ago

Los lados de un triángulo rectángulo tienen por medida tres números enteros consecutivos. Calcula los lados del triángulo.

elixir [45]

Answer:

Los lados del triángulo rectángulo miden 3, 4 y 5, respectivamente.

Step-by-step explanation:

Un triángulo rectángulo puede ser descrito mediante el teorema de Pitágoras, para el caso de tres lados representando tres números enteros consecutivos, tenemos que:

$(n+2)^{2} = n^{2} + (n+1)^{2}$ (1)