ΔABC ≅ ΔDEF

you hope to borrow $450,000 at 7% interest per annum compounded quarterly. You will repay the loan in one payment at the end of

Gnesinka [82]

Answer: 94500

Step-by-step explanation:

450,000 x 0.07 x 3 (pXrXt)

7 0

1 year ago

Ebony but a four year treasury note that pay the equivalent of 3.8% simple interest. She invested $3000 more in a 9 year bond e

Anastasy [175]

Treasury bond's invested amount is "$7000" and Bond's invested amount is "$10000",

Let,

The amount invested in treasury note will be = x
The amount invested in bond will be = (x + 3000)

then,

→ $\frac{x\times 4\times 3.8}{100} +\frac{(3000+x)\times 9\times 4.6}{100}=5204$

→ $\frac{15.2x}{100}+\frac{(3000+x)\times 41.4}{100} =5204$

→ $\frac{15.2x}{100} +\frac{124200+41.4x}{100} =5204$

→ $\frac{15.2 x+124200+41.4x}{100} = 5204$

→ $56.6x+124200=520400$

→ $56.6x=520400-124200$

→ $56.6x=396200$

→ $x = \frac{396200}{56.6}$

→ $= 7000$

Amount invested in bond will be:

= $x+3000$

= $7000+3000$

= $10000$

Thus the above is the correct answer.

Learn more:

brainly.com/question/14802140

8 0

2 years ago

What is the slope of the line whose equation has the following solutions? (-1.25,-18,5)(0.25,-30)

labwork [276]

Answer:

$m=\frac{-23}{3}$

$m=-7.6666666667$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

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

Step-by-step explanation:

Step 1: Define

Point (-1.25, -18.5)

Point (0.25, -30)

Step 2: Find slope m

Substitute: $m=\frac{-30+18.5}{0.25+1.25}$
Add: $m=\frac{-11.5}{1.5}$
Divide: $m=\frac{-23}{3}$

4 0

3 years ago

Read 2 more answers

-3,0,3,6,9 arithmetic sequence

astraxan [27]

Answer:

Adding 3

Step-by-step explanation:

-3 + 3 = 0

0 + 3 = 3

3 +3 = 6

6 + 3 = 9

4 0

3 years ago

What is the equation of the quadratic graph with a focus of (4,3) and a directrix of y=-6

Rufina [12.5K]

Answer:

f(x) = (1/18)x^2 - (4/9)x - 65/18

Step-by-step explanation:

Since the focus (4,3) is higher up than is the directrix y = -6, the vertex is between y = -6 and y = 3, halfway between these values, to be exact: y = -3/2. Thus, the y-coordinate of the vertex is (-6 + 3/2), or -4.5. The x-coordinate of the vertex is 4, which comes from that 4 in (4,3). Thus, the vertex is (4, -4.5) or (4, -4 1/2).

The standard equation for a vertical parabola with vertex at (h,k) is:

4p(y-k) = (x-h)^2, where p is the distance between vertex and focus or between vertex and directrix. In this case p = 4.5. Thus, the equation of this quadratic is 4(4.5)(y - [-4.5]) = (x - 4)^2, or

18(y+4.5) = (x-4)^2, or y+4.5 = (1/18)(x-4)^2.

Let's expand this and rewrite the result as a quadratic equation in standard form y = ax^2 + bx + c:

y + 4.5 = (1/18)(x^2 - 8x + 16). Multiplying all terms by 18 to remove both fractions, we get:

18y + 81 = x^2 - 8x + 16. Rearranging these terms, we get:

18y = x^2 - 8x + 16 - 81, or

18y = x^2 - 8x - 65, or

y = f(x) = (1/18)x^2 - (4/9)x - 65/18.

5 0

3 years ago

Read 2 more answers