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3 years ago

Hiiii! help asap, 15 points (:

Mathematics

2 answers:

Pie3 years ago

4 0

The correct answer is C

Good luck on the rest :D

likoan [24]3 years ago

3 0

Answer:

Step-by-step explanation:

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( brainliest ) What is the area of this figure?

algol [13]

Pretty sure its 132

Hope this helps!

4 0

3 years ago

NEED HELP ASAP!

galina1969 [7]

9514 1404 393

Answer:

lamp: $80
end table: $140

Step-by-step explanation:

If we let x and y represent the costs of a lamp and end table, respectively, the two purchases can be written as ...

3x +2y = 520

2x -y = 20

These equations can be solved many ways. If we use "elimination", we can add twice the second equation to the first to eliminate y:

(3x +2y) +2(2x -y) = (520) +2(20)

7x = 560 . . . . simplify

x = 80 . . . . . . divide by 7

y = 2x -20 = 2(80) -20 = 140

The cost of a lamp is $80; the cost of an end table is $140.

6 0

3 years ago

HEEEELLLLPPPPPP divide using long division and synthetic

Amiraneli [1.4K]

Answer:

1. is the first one

2. is the last one

5 0

3 years ago

If a jogger runs 2 miles and burns 185 calories, how many calories would he burn

ad-work [718]

Answer:277.5
Explanation: If 185 calories=2 miles then 1 mile=92.5 calories. 185+92.5=277.5

5 0

3 years ago

Time value of money calculations can be solved using a mathematical equation, a financial calculator, or a spreadsheet. Which of

MA_775_DIABLO [31]

To answer this question, we can assume some different possibilities for the answer, since it is incomplete (or with not clear options):

a. $\\ \frac{PMT}{r}$

b. $\\ PMT*\frac{(1+r)^{n}-1}{r}*(1 + r)$

c. $\\ PMT*\frac{(1+r)^{n} - 1}{r}$

Answer:

a. $\\ PV_{perpetuity}=\frac{PMT}{r}$

Step-by-step explanation:

The present value of a perpetuity is an amount of money needed to invest today to have a perpetuity, or an annuity paid for life, considering an interest rate of r.

PMT is a finance term for payment and r is the interest rate (roughly, an important quantity that defines how much it can be obtained for an investment).

In general, the present value can be mathematically defined as:

$\\ PV(r) = \frac{PMT_{0}}{(1+r)^{0}} + \frac{PMT_{1}}{(1+r)^{1}} + \frac{PMT_{2}}{(1+r)^{2}}+\dotsc+\frac{PMT_{n}}{(1+r)^{n}}$

Where n represents the number of periods for the investment.

On the other hand, an annuity, given a present value PV, is defined by:

$\\ PMT= A = PV*(1+r)^{n}*(\frac{r}{(1+r)^{n}-1})$

Solving this equation for PV (present value) to define the present value of an annuity, we have:

$\\ PV = \frac{(1+r)^{n}-1}{(r*(1+r)^{n})}*PMT$

But the question is asking for an annuity paid for life (theoretically, for infinite periods of time); then, if we calculate the limit for the previous equation when n tends to infinity, we find that:

$\\ lim_{n\to\infty} \frac{(1+r)^{n}-1}{(r*(1+r)^{n})}*PMT$

$\\ (lim_{n\to\infty} \frac{(1+r)^{n}}{r*(1+r)^{n}} - lim_{n\to\infty} \frac{1}{r*(1+r)^{n}})*PMT$

$\\ (lim_{n\to\infty} \frac{(1+r)^{n}}{(1+r)^{n}}*\frac{1}{r} - lim_{n\to\infty} \frac{1}{r*(1+r)^{n}})*PMT$

$\\ (lim_{n\to\infty} 1*\frac{1}{r} - lim_{n\to\infty} \frac{1}{r*(1+r)^{n}})*PMT$

The second term of the previous expression tends to 0 (zero) when n tends to infinity, then:

$\\ (lim_{n\to\infty} 1*\frac{1}{r})*PMT$

$\\ (1*\frac{1}{r})*PMT$

$\\ \frac{PMT}{r}$ or

$\\ PV_{perpetuity}=\frac{PMT}{r}$

This expression represents that, with an interest of r, if we make an investment of PMT today, then we will have an annuity of $\\ \frac{PMT}{r}$ for life, because in each period PMT would be the same again due to the interest rate (r).

6 0

3 years ago