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Lynna [10]
3 years ago
9

Sophia wants to take out a loan of $6,000 with interest that compounds monthly. Use the formula A = P(1 + rn)n∗t to find which o

f these loan terms will have the lowest total cost. A) 2 years at 4% interest B) 3 years at 3% interest C) 4 years at 1% interest D) 5 years at 2% interest
Mathematics
1 answer:
Naddika [18.5K]3 years ago
4 0

Answer:

d

Step-by-step explanation:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

a. 6000x (1 + 0.04/12)^24 = 6498.86

b. . 6000x (1 + 0.03/12)^36 =6564.31

c. . 6000x (1 + 0.01/12)^48 = 6244.76

d. . 6000x (1 + 0.05/12)^60 =6630.47

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Which two transformations are applied to pentagon ABCDE to create A’B’C’D’E’?
vesna_86 [32]

The pentagon was reflected across the x-axis. By looking at Point A, you can see x was increased 8, x+8. Also, y was increased by 2, y+2.

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Hey can u answer my math question look atbthe picture to see<br> the pic.​
Anna35 [415]

Answer:

4 3/4 yards

Step-by-step explanation:

5 1/4 + 2 1/2 = 7 3/4

(1/2 is equal to 2/4)

12 1/2 - 7 3/4 = 4 3/4

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2 years ago
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What is the answer to this question?
Vladimir [108]
The answer is A. Hope this helped
7 0
3 years ago
Professor Goodheart has two exams, exam 1 and exam 2. The exam 1 weights 40% and the exam 2 weights 60% of the final grades. Put
garri49 [273]

Answer:

Imperfect substitutes

explanation:

The choices above are not perfect substitutes, meaning they can not be perfectly or directly replace the other. Imperfect substitutes are close substitutes but not perfect substitutes. Unlike perfect substitutes, imperfect substitutes satisfies same utility but has different characteristics and therefore not entirely substitutable. For example, while one may want to have the 40 marks too, he'd rather have 60 marks even if the criteria for a 60 mark score was increasingly hard.

8 0
3 years ago
What is the ratio of x to y?
abruzzese [7]
\frac{3}{2} = \frac{2x}{2x+y}

From any proportion, we get another proportion by inverting the extremes (or the means):

\frac{2x+y}{2} = \frac{2x}{3} = k

so we have:

2x=3k
2x+y=2k therefore:
3k+y=2k
y= - k

x=\frac{3}{2} k

\frac{x}{y} = - \frac{3}{2}

The corect answer is A. -3/2

or:

\frac{3}{2} = \frac{2x}{2x+y}

From any proportion, we get another proportion by inverting the extremes and the means:

\frac{2x+y}{2x} = \frac{2}{3}

We use a property of proportions:

\frac{a}{b} = \frac{c}{d}  where a, d are extremes and b,c are means and the product of the extremes equals the product of the means (a*d=b*c),

so we have

\frac{a-b}{b} = \frac{c-d}{d}  or

\frac{a+b}{b} = \frac{c+d}{d}  (you can check this also by "the product of the extremes equals the product of the means")

\frac{2x+y}{2x} = \frac{2}{3}

\frac{(2x+y)-2x}{2x} = \frac{2-3}{3}

\frac{y}{2x} = \frac{-1}{3}

3y = - 2x

\frac{x}{y} = -\frac{3}{2}



4 0
3 years ago
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