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yarga [219]
3 years ago
12

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.

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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]
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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\})

6 0
3 years ago
Read 2 more answers
In AKLM, m = 1.2 cm, k = 5.1 cm and
Elodia [21]

Answer:

  4.2 cm

Step-by-step explanation:

The law of cosines is applicable.

  l² = k² +m² -2km·cos(L)

  l² = 5.1² +1.2² -2·5.1·1.2·cos(35°) ≈ 17.4236

  l ≈ √17.4236

  l ≈ 4.2 . . . cm

4 0
3 years ago
Last month Marcus borrowed $74 from his roommate so far he has paid him back $33 which equation could be used to find X the amou
weeeeeb [17]

Answer:

d

Step-by-step explanation:

since he has already paid 33 then you will have to add the x amount still need to be paid

7 0
2 years ago
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