All categories

3 years ago

URGENT!! PLEASE HELP!!!

Mathematics

1 answer:

olga55 [171]3 years ago

9 0

Answer:

The correct option is B.

Step-by-step explanation:

The formula for amount after compound interest is

$A=P(1+\frac{r}{n})^{nt}$

Where P is principal, r is rate of interest, n is number of times interest compounded in a period, t is number of years.

It is given that Felix took out an unsubsidized student loan of $40,000 at a 3.6% APR, compounded monthly. The amount after 33 month is

$A=40000(1+\frac{0.036}{12})^{33}=44156.1074$

The amount after 33 month is $44156.1074. So, the new principle amount is $44156.1074.

The monthly payment of $44156.1074 for 20 years is

$m=\frac{P.V.(\fracr)}{1-(1+r)^{-n}}$

Where, P.V. is present value, r is rate of interest and n is number of times interest compounded.

$m=\frac{44156.1074(\frac{0.036}{12})}{1-(1+\frac{0.036}{12})^{-20\times 12}}$

$m=258.362447711$

$m\approx 258.36$

Therefore the correct option is B.

You might be interested in

Nine times the sum of a number and 4 is 2

Anna11 [10]

Answer(s):

If you are asking for the equation, it's 9(x+4)=2

However, if you're asking for the value of x as well, it's -34/9

Step by Step:

1) First we must find the equation. In your question, the unknown number is x. Therefore we can know that "the sum of a number and 4" is (x+4). Since we are multiplying this sum by 9, we can put the 9 in front of this expression to multiply it--getting 9(x+4). And since we know it "is 2" we can say that 9(x+4)=2.

2) Now, we have to solve the equation, 9(x+4) = 2

3) We can start by distributing, 9x+36 = 2

4) Now let's move 36 to the right by subtracting from both sides, 9x = -34

5) To isolate x, let's divide both sides by 9, x = -34/9

6) Our fraction answer can't be simplified, so we get x = -34/9

7 0

3 years ago

Please help me! Please! I am so lost! Pythagorean Theorem!

Ket [755]

Answer:

Part A- yes, because all 3 sides are Equal (each side is 5)

Part B- yes, each rectangle has the dimensions 12*5

Part C- yes- since the sides are 5 and 12 you can determine that the diagonal is 13, using they Pythagorean theorem $a^{2} +b^{2} =c^{2}$

$5^{2} +12^{2} =13^{2} \\25+144=169$ - true statement, so the lateral sides are rectangles, because the corners are 90

Part D- $4\sqrt{2}$ (it is a 45-45-90 triangle- so the hypotenuse is the side length times $\sqrt{2}$

Part E- the diagonal face as the largest area- dimensions are $4\sqrt{2} * 12\\$

the area would be $48\sqrt{2}$

Step-by-step explanation:

4 0

2 years ago

Solve the equation for x∈Z <br><br>-x² +8x -14 ≥ 0

kenny6666 [7]

$ax^2+bx+c=0\\\Delta=b^2-4ac\\if\ \Delta < 0\ then\ no\ solutions\\if\ \Delta=0\ then\ one\ solution:x=\frac{-b}{2a}\\if\ \Delta > 0\ then\ two\ solutions:x=\frac{-b\pm\sqrt\Delta}{2a}\\================================\\\\-x^2+8x-14\geq0\ \ \ \ |multiply\ both\ sides\ by\ (-1)\ \{change\ \geq\ on\ \leq\}\\\\x^2-8x+14\leq0\\\\a=1;\ b=-8;\ c=14\\\\\Delta=(-8)^2-4\cdot1\cdot14=64-56=8 > 0\\\sqrt\Delta=\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2$

$x_1=\frac{-(-8)-2\sqrt2}{2\cdot1}=\frac{8-2\sqrt2}{2}=\frac{8}{2}-\frac{2\sqrt2}{2}=\boxed{4-\sqrt2}\\\\x_2=\frac{-(-8)+2\sqrt2}{2\cdot1}=\frac{8+2\sqrt2}{2}=\frac{8}{2}+\frac{2\sqrt2}{2}=\boxed{4+\sqrt2}\\\\============================$

$ax^2+bx+c=0\\\\if\ a > 0\ then\ the\ parabola\ o pen\ up\\if\ a < 0\ then\ the\ parabola\ o pen\ down\\========================\\\\a=1 > 0-therefore\ o pen\ up\ (look\ at\ the\ picture)\\\\===============================\\\\Answer:x\in\left$

$Solutions\ in\ \mathbb{Z}:\\\\\sqrt2\approx1.4\\\\threfore:4-\sqrt2\approx4-1.4=2.6\ and\ 4+\sqrt2\approx4+1.4=5.4\\\\look\ at\ the\ second\ picture:x=3\ or\ x=4\ or\ x=5\ (x\in\{3;\ 4;\ 5\})$