Help what is the measure of the angle x?

Mathematics

1 answer:

Schach [20]2 years ago

7 0

Answer:

x = 20

Step-by-step explanation:

There is a right angle which is 90 degrees. Part of the angle is 30 degrees, so the other measure is 60 degrees, which is the 3x.

Make an equation.

3x = 60

Divide both sides by 3

3x/3 = 60/3

x = 20

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Jack deposited $47,323.15 in an account earning 5% interest compounded annually.

Vera_Pavlovna [14]

Answer:

Jack's final bank account amount will be $54,782.50, earning $7,459.31 in interest.

General Formulas and Concepts:
Algebra I

Compounded Interest Rate Formula: $\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}$

A is final amount
P is principle amount
r is rate
n is compounded rate
t is time

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = $47,323.15

r = 0.05

n = 1

t = 3

Step 2: Find Interest

[Compounded Interest Rate Formula] Substitute in variables:
$\displaystyle A = 47323.15 \bigg( 1 + \frac{0.05}{1} \bigg) ^{1(3)}$
Evaluate:
$\displaystyle A = \boxed{54782.5}$