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Helen [10]
3 years ago
7

Last year, Shen opened an investment account with $7800. At the end of the year, the amount in the account had decreased by 22.5

% . How much is this decrease in dollars? How much money was in his account at the end of last year?
Mathematics
1 answer:
maks197457 [2]3 years ago
4 0

Answer:

The decrease was $1755.

At the end of the year, he had $6045 in his account.

Step-by-step explanation:

Start with $7800.

Decrease of 22.5% of $7800.

22.5% of $7800 =

= $1755

The decrease was $1755.

$7800 - $1755 = $6045

At the end of the year, he had $6045 in his account.

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How can you use similar triangles to solve real-world problems?
Pavel [41]

Answer:

similar triangles can be used to find the height of a building.

Step-by-step explanation:

3 0
2 years ago
F(2) = -13 and f(-3) = 12
mario62 [17]

Answer:

f(x) = -5x-3

Step-by-step explanation:

f(x) = ax + b

f(2)=-13 & f(-3) =12

2a + b = -13

-3a+ b = 12

_________-

5a = -25

a = -5

b= -13+10= -3

so the formula of f(x) = -5x -3

5 0
2 years ago
Solve for x in the triangle. Round your answer to the nearest tenth.
hodyreva [135]

Answer:

x ≈ 11.7

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos26° = \frac{adjacent}{hypotenuse} = \frac{x}{13} ( multiply both sides by 13 )

13 × cos26° = x , then

x ≈ 11.7 ( to the nearest tenth )

4 0
2 years ago
Draw a line representing the rise and a line representing the run of the line. State the slope in the simplest form
USPshnik [31]

Answer:

m=\frac{2}{3}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point (1, -5)

Point (7, -1)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute [SF]:                    m=\frac{-1+5}{7-1}
  2. Add/Subtract:                      m=\frac{4}{6}
  3. Simplify:                               m=\frac{2}{3}
6 0
2 years ago
a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form
lianna [129]

Answer:

The perimeter of the garden, in meters, is 24\sqrt{2}

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that d = 12, side s. So

s^2 + s^2 = 12^2

2s^2 = 144

s^2 = \frac{144}{2}

s^2 = 72

s = \sqrt{72}

Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

36|2

18|2

9|3

3|3

1

So

72 = 2^{3}*3^{2}

So, in simplest radical form:

s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}

Perimeter of the garden:

The perimeter of a square with side of s units is given by:

P = 4s

In this question, since s = 6\sqrt{2}

P = 4s = 4*6\sqrt{2} = 24\sqrt{2}

The perimeter of the garden, in meters, is 24\sqrt{2}

5 0
2 years ago
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