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2 years ago

Which explicit formula can be used to find the accounts balance at the beginning of year 3?

Mathematics

1 answer:

balandron [24]2 years ago

7 0

The formula for the amount A in an account with principal P and interest rate r compounded annually for t years is

... A(t) = P(1+r)^t

You want to find A when P=400, r=0.05, and t=3. Substituting those values gives you

... A(3) = 400·(1 +0.05)³

The appropriate choice is

... A. A(3) = 400·(1 +0.05)³

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3 years ago

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Charles is 19 years old. his grandfather is 67 years older than he. what was thee total age 9 years ago?

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Today: x=19
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9 years ago: x=19-9=10
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3 years ago

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3. Jason earns $400 per week plus a 3% commission on his total sales. If he sold $675 in total sales, how much did he earn this

dlinn [17]

Answer:

$420.25

Step-by-step explanation:

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2 years ago

One base of a trapezoid is five times as long as the other. The height is the average of the two bases. The area is 441 square u

Gelneren [198K]

Answer:

The length of the longer base he 35 units

Step-by-step explanation:

Here, we want to find the length of the longer base of the trapezoid

Mathematically, we can find the area using the formula;

1/2( a + b) h

where a is the shorter base

b is the longer base

h is the height

Let the shorter base be x

The other base is 5 times this length and that makes 5 * x = 5x

Height is the average of both bases;

(x + 5x)/2 = 6x/2 = 3x

Substituting these in the formula, we have ;

1/2(x + 5x)3x = 441

3x(6x) = 882

18x^2 = 882

x^2 = 882/18

x^2 = 49

x^2 = 7^2

x = 7

But the longer base is 5x and that will be 5 * 7 = 35 units

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2 years ago