Find the product of 0.456 x 10 to the 6

Hillary needs to know if the triangle shown is a right triangle. Which equation should she use to help?

Sonja [21]

Answer:

a2+b2=c2

Step-by-step explanation:

A right triangle is a triangle in which one of the angles is a 90∘ angle. A triangle can be determined to be a right triangle if the side lengths are known. If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.

7 0

3 years ago

Jimmy invests $2500 in an account with a 5% interest rate, making no other deposits or withdrawals. What will Jimmy’s account ba

Alik [6]

Answer:

We conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

Step-by-step explanation:

Given

Principle P = $2500

Interest rate r = 5% = 0.05

Time period t = 8 years

To determine

Accrue Amount A = ?

Using the compound interest equation

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

where:

A represents the Accrue Amount

P represents the Principal Amount

r represents the interest rate

t represents the time period in years

n represents the number of compounding periods per unit t

Important tip:

Given that the interest is compounded 6 times each year, therefore, the value of n = 6.

now substituting P = 2500, r = 0.05, t = 8 and n = 6 in the equation

$A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}$

$A=2500\left(1+\frac{0.05}{6}\right)^{\left(6\right)\left(8\right)}$

$\:A=2500\left(1+\frac{0.05}{6}\right)^{48}$

$A=2500\times 1.48935$ ∵ $\left(1+\frac{0.05}{6}\right)^{48\:\:}=1.48935$

$A=\:3723.38$ $

Therefore, we conclude that the total amount accrued, principal plus interest, from compound interest on an original principal of $2500 at a rate of 5% per year compounded 6 times per year over 8 years is $3723.38.

8 0

3 years ago

Please help me with this.

tatyana61 [14]

By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:

r (- 3) = 15
r (- 1) = 11
r (1) = - 7
r (5) = 13

<h3>How to evaluate a piecewise function at given values</h3>

In this question we have a <em>piecewise</em> function formed by three expressions associated with three respective intervals. We need to evaluate the expression at a value of the <em>respective</em> interval:

-3 ∈ (- ∞, -1]

r(- 3) = - 2 · (- 3) + 9

r (- 3) = 15

-1 ∈ (- ∞, -1]

r(- 1) = - 2 · (- 1) + 9

r (- 1) = 11

1 ∈ (-1, 5)

r(1) = 2 · 1² - 4 · 1 - 5

r (1) = - 7

5 ∈ [5, + ∞)

r(5) = 4 · 5 - 7

r (5) = 13

By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:

r (- 3) = 15
r (- 1) = 11
r (1) = - 7
r (5) = 13

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

7 0

2 years ago

If f(x) = 2x - 2 and g(x) = x}, what is (gºf)(4)?

Bad White [126]

Answer:

We conclude that:

(gºf)(4) = g(f(4)) = g(6) = 6

Step-by-step explanation:

Given

$f(x) = 2x - 2$

$g(x) = x$

We have to determine (gºf)(4).

(gºf)(4) = g(f(4))

f(4) = 2(4)-2

= 8 - 2

= 6

Thus,

(gºf)(4) = g(f(4)) = g(6) = 6

Therefore, we conclude that:

(gºf)(4) = g(f(4)) = g(6) = 6

4 0

3 years ago

Consider the function ƒ(x) = x2. Which of the following functions shifts ƒ(x) downward 5 units and to the right 3 units?

Sunny_sXe [5.5K]

The answer is 12.6 that’s the answer right there

5 0

3 years ago