Gibraltar Construction was granted a 1-year construction loan of $650,000 to finance the construction of an apartment complex. Gibraltar borrowed the money from Citizens Trust at an interest rate of 0.75% ordinary interest over the prime rate. What was the maturity value of the loan if the prime rate is 8.75%?

Answers

Answer 1

Answer: Given:
loan: 650,000
prime rate: 8.75%
interest rate of 0.75% ordinary interest over the prime rate

Interest rate: 8.75% + 0.75% = 9.5%

650,000 x 9.5% x 1 = 61,750 interest

maturity value: 650,000 + 61,750 = 711,750

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(07.04) When 27 times x squared times z all over negative 3 times x squared times z to the sixth power is completely simplified, the exponent on the variable z is _____. Numerical Answers Expected! Answer for Blank 1:

Answers

Answer:

The exponent on variable z is -5

Step-by-step explanation:

$(27x^2z)/(-3x^2z^6)$

To simplify it we apply property of exponents

a^m / a^n = a^m-n

LEts divide the number first

27/ -3= -9

we have x^2 at the top and bottom . so we cancel it out

$(z)/(z^6) =(z^1)/(z^6) =z^(-5)$

Now combine all the terms

-9z^-5

The exponent on variable z is -5

The answer is negative 5

What is the value for y?

Enter your answer in the box.

y =

Answers

Sides AC and CB are identical, which mean the two bottom angles are also identical.

Angle B (2x) would equal 50.

The three inside angles of a triangle equal 180, so the top angle would equal 180 - 50-50 = 80.

Now set the equation for angle C to equal 80 and solve for Y.

5y+10 = 80

Subtract 10 from each side:

5y = 70

Divide both sides by 5:

y = 70/5

y = 14

Answer:

y = 8 and x = 25

Step-by-step explanation:

Look at pic below.

Hope this helps! :)

Which shows one way to determine the factors of x3 – 12x2 – 2x + 24 by grouping?

Answers

Answer:

(x-12)(x^2-2)

Step-by-step explanation:

$x^3 - 12x^2 - 2x + 24$

Factor the polynomial by grouping

We group first two terms and last two terms

$(x^3 - 12x^2)+(- 2x + 24)$

Now we factor out GCF from each group

GCF of x^3 -12x^2 is x^2

GCF of -2x+24 is -2

$x^2(x - 12)-2(x -12)$

(x-12)(x^2-2)

The question is

Shows the factor of x³-12x²-2x+24 by grouping method.

Now,

take ' x² ' common from first two terms and ' -2 ' from the last two terms.

x³-12x²-2x+24

=x²(x-12)-2(x-12)

=(x-12)(x²-2) are factors.

A triangular pyramid has a surface area of 336 square inches. It is made up of equilateral triangles with side lengths of 12 inches. What is the slant height?

Answers

Given:
Surface Area = 336 sq. inches
side lengths = 12 inches
equilateral triangles

find the slant height.

Area of an equilateral triangle = √3/4 * a² = √3/4 * (12in) = 62.35 in²
Perimeter = 3 a = 3 * 12 = 36 inches

Surface Area = Base Area + 1/2 Perimeter * Slant height
336 in² = 62.35 in² + 1/2 * 36 in * slant height
336 in² - 62.35 in² = 1/2 * 36 in * slant height
273.65 in² * 2 = 36 in * slant height
547.30 in² = 36 in * slant height
547.30 in² / 36 in = slant height
15.20 in = slant height.

It is actually fourteen...you didvide 336 by 12 and since that slant is a triangle based shape you divide that by the quotient of 336\12, which is 14. Sorry if it’s a little confusing

60,000 nearest to ten thousand