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3 years ago

In which scenario do lines A and B intersect i’m stuck on this

Mathematics

1 answer:

liq [111]3 years ago

7 0

Answer:

Its D

Step-by-step explanation:

I think that it is D because it is not any of the postulates that is in the questions

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If Ms. P wants to withdraw $900 from an account earning 4% average annual interest rate at the start of each year for 7 years, h

Ksju [112]

Answer:

Amount he must have in his account today is $5,617.92

Step-by-step explanation:

Data provided in the question:

Regular withdraw amount = $900

Average annual interest rate, i = 4% = 0.04

Time, n = 7 years

Now,

Present Value = $C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)$

here,

C = Regular withdraw amount

Thus,

Present Value = $C \times\left[ \frac{1-(1+i)^{-n}}{i} \right] \times(1 + i)$

Present Value = $900 \times\left[ \frac{1-(1+0.04)^{-7}}{ 0.04 } \right] \times(1 + 0.04)$

Present Value = $936 \times\left[ \frac{1 - 1.04^{-7}}{ 0.04} \right]$

Present Value = $936 \times\left[ \frac{1 - 0.759918}{ 0.04} \right]$

Present Value = 936 × 6.00205

Present Value = $5,617.92

Hence,

Amount he must have in his account today is $5,617.92

7 0

3 years ago

Question

Ahat [919]

Answer:

4 minutes.

Step-by-step explanation:

There are three trains that Rachel has to take to go to her job. The total time is taken by her, on average, 1 hour and 20 minutes i.e. (60 + 20) = 80 minutes.

In his journey, she walks for 15 minutes and a train journey for about 53 minutes.

Then the total waiting time for the trains is (80 - 53 - 15) = 12 minutes.

Therefore, the average waiting time, in minutes, at each of the three train stations will be $\frac{12}{3} = 4$ minutes. (Answer)

8 0

3 years ago

Adding and subtracting complex numbers question

Darina [25.2K]

True because i² = -1 and a and b are real

8 0

3 years ago

The volume of a rectangular prism with a length of 3.5 m, a width of 8 m, and a height of 6

SSSSS [86.1K]

The volume of the rectangular prism is 3.5x8x6, which is 168 square meters

8 0

3 years ago

Please i need to know if im correct with these questions

telo118 [61]

Answer: No Solution

Step-by-step explanation:

ln x - ln (x + 2) = 4 restrictions: x > 0 and x + 2 > 0 → x > 0

ln $(\frac{x}{x + 2})$ = 4

$(\frac{x}{x + 2})$ = e⁴

x = e⁴ (x + 2)

x = 54.5982 (x + 2)

x = 54.5982x + 109.1964

- 53.5982x = 109.1964

x = $\frac{109.1964}{-53.5982}$

x = -2.0373

-2.0373 is not greater than 0 so is not valid

**************************************************************************

Answer: 2.1972

Step-by-step explanation:

eˣ = 9

ln eˣ = ln 9

x = ln 9

x ≈ 2.1972

**************************************************************************

Answer: $\frac{3}{2}$

Step-by-step explanation:

log₂ (3x - 4) = -1

3x - 4 = 2⁻¹

3x - 4 = $\frac{1}{2}$

+4 +4

3x = $4\frac{1}{2}$

3x = $\frac{9}{2}$

$\frac{3x}{3} = \frac{9}{2} * \frac{1}{3}$

x = $\frac{3}{2}$

**************************************************************************

Answer: 1.117519

Step-by-step explanation:

in the calculator, type in 1 ÷ 9.

Then hit the eˣ button.

e¹⁾⁹

= e°¹¹¹¹¹¹

= 1.117519

rounded to 6 decimal places: 1.117519

6 0

3 years ago