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s344n2d4d5 [400]
3 years ago
15

PLEASE HELP, WILL GIVE BRAINLIEST!! THIS QUESTION NEEDS NO MATHEMATICAL CALCULATION. I JUST NEED THE RIGHT ANSWER PLEASE!!

Mathematics
2 answers:
qaws [65]3 years ago
5 0

Answer:

Answer is D.)

Step-by-step explanation:

If im wrong im really sorry i tried to ork this out in my head as fast as possible.

tigry1 [53]3 years ago
5 0

Answer:

D, 2ttr represents the portion of the circumference of the circle that the arc spans .

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Capital Value Find the capital value of an asset that generates $7200 yearly income if the interest rate is as follows.
olganol [36]

a. An asset that generates $7200 yearly income if the interest rate 5% compounded continuously, then its capital value is $140433.002

b. An asset that generates $7200 yearly income if the interest rate 10% compounded continuously, then its capital value is $68460.59

<u>Step-by-step explanation:</u>

For continuously compound interest

                    A = P \times e^{r t}  ---------------> eq.1

Where

P = principal amount (initial investment)

r = annual interest rate (as a decimal)

t = number of years

A = amount after time t.

Let’s solve the equation

Where,

P is unknown

                     A = P + 7200 (asset after 1 year) ---------------> eq. 2

<u>Case A: </u>

           r=\frac{\text {interest rate}}{100}=\frac{5}{100}=0.05

t = 1 (1 year)

Substitute all values in the formula (2) using the formula (1),

          P \times e^{(0.05)(1)}=P+7200

          P \times e^{0.05}-P=7200

          P\left(e^{0.05}-1\right)=7200

          P(1.05127-1)=7200

          P(0.05127)=7200

          P=\frac{7200}{0.05127}=\$140433.002

<u>Case B:</u>

       r=\frac{\text {interest rate}}{100}=\frac{10}{100}=0.10

t = 1 (1 year)

Substitute all values in the formula (2) using the formula (1),

         P \times e^{(0.10)(1)}=P+7200

         P \times e^{0.10}-P=7200

         P\left(e^{0.10}-1\right)=7200

         P(1.10517-1)=7200

         P(0.10517)=7200

         P=\frac{7200}{0.10517}=\$68460.59

7 0
3 years ago
What is the value of –112.84 – 54.14 – (–29.18)?<br> –137.8<br> –29.52<br> 87.88<br> 196.16
maksim [4K]

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

-112.84-54.14-(-29.18)

-112.84-54.14+29.18=-137.8

5 0
3 years ago
Read 2 more answers
Is 103 perfect square? show your work​
alexgriva [62]

Answer:

yes

Step-by-step explanation:

Could not simplify further

6 0
2 years ago
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Find the quotient of these complex numbers.
stich3 [128]

9514 1404 393

Answer:

  C.  (45+11i)/29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  \dfrac{5-7i}{2-5i}=\dfrac{(5-7i)(2+5i)}{(2-5i)(2+5i)}=\dfrac{(5)(2)+(-7i)(5i) +(5)(5i)+(-7i)(2)}{2^2+5^2}\\\\=\dfrac{(10+35)+(24-14)i}{29}=\boxed{\dfrac{45}{29}+\dfrac{11}{29}i}

8 0
3 years ago
I don’t know if this is right, I’m stuck. Help!
STALIN [3.7K]

Answer:

C

Step-by-step explanation:

According to SohCahToa, cosine is adjacent over the hypotenuse.

The adjacent when looking from angle b, is 21.

The hypotenuse of this triangle is 29.

So Cos B=21/29

5 0
3 years ago
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