All categories

2 years ago

Please help

Mathematics

2 answers:

DedPeter [7]2 years ago

7 0

Answer:

$53750

Step-by-step explanation:

Sam deposit $12500 every year which grows at a simple interest of 3% and we have to calculate the total sum after 4 years.

If Sam deposit $x with r% simple interest then the principal will grow after 4 years to $x[1 + \frac{4r}{100}]$

Again, for the second year $x investment with r% simple interest will grow to $x[1 + \frac{3r}{100}]$ .

Now, the third year $x investment with r% simple interest will grow to $x[1 + \frac{2r}{100}]$

And finally the fourth year $x investment with r% simple interest will grow to $x[1 + \frac{r}{100}]$

Therefore, the total sum becomes

$x[1 + \frac{4r}{100}] + x[1 + \frac{3r}{100}] + x[1 + \frac{2r}{100}] + x[1 + \frac{r}{100}]$

= $4x + \frac{10 \times r \times x}{100}$

= $4x + \frac{rx}{10}$

So, in case of Sam the sum will be = $4 \times 12500 + \frac{3 \times 12500}{10}$ = $53750

natali 33 [55]2 years ago

4 0

Answer:

52,500

Step-by-step explanation:

I took the test and thats what it was

You might be interested in

The probability that an egg on a production line is cracked is 0.01. Two eggs are selected at random from the production line. F

musickatia [10]

Answer:

$P(X \geq 1)=1-P(X$

$P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801$

And replacing we got:

$P(X \geq 1) = 1-0.9801 = 0.0199$

Step-by-step explanation:

Let X the random variable of interest "number of craked eggs", on this case we now that:

$X \sim Binom(n=2, p=0.01)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

And we want to find this probability:

$P(x \geq 1)=1-P(X$

And we can find the probability:

$P(X=0)=(2C0)(0.01)^0 (1-0.01)^{2-0}=0.9801$

And replacing we got:

$P(X \geq 1) = 1-0.9801 = 0.0199$

5 0

2 years ago

Hello people ~

Luden [163]

Cone details:

height: h cm

radius: r cm

Sphere details:

radius: 10 cm

================

From the endpoints (EO, UO) of the circle to the center of the circle (O), the radius is will be always the same.

Using Pythagoras Theorem

(a)

TO² + TU² = OU²

(h-10)² + r² = 10² [insert values]

r² = 10² - (h-10)² [change sides]

r² = 100 - (h² -20h + 100) [expand]

r² = 100 - h² + 20h -100 [simplify]

r² = 20h - h² [shown]

r = √20h - h² ["r" in terms of "h"]

(b)

volume of cone = 1/3 * π * r² * h

===========================

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (\sqrt{20h - h^2})^2 \ ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20h - h^2) (h)$

$\longrightarrow \sf V = \dfrac{1}{3} * \pi * (20 - h) (h) ( h)$

$\longrightarrow \sf V = \dfrac{1}{3} \pi h^2(20-h)$

To find maximum/minimum, we have to find first derivative.

(c)

First derivative

$\Longrightarrow \sf V' =\dfrac{d}{dx} ( \dfrac{1}{3} \pi h^2(20-h) )$

apply chain rule

$\sf \Longrightarrow V'=\dfrac{\pi \left(40h-3h^2\right)}{3}$

Equate the first derivative to zero, that is V'(x) = 0

$\Longrightarrow \sf \dfrac{\pi \left(40h-3h^2\right)}{3}=0$

$\Longrightarrow \sf 40h-3h^2=0$

$\Longrightarrow \sf h(40-3h)=0$

$\Longrightarrow \sf h=0, \ 40-3h=0$

$\Longrightarrow \sf h=0,\:h=\dfrac{40}{3}$

maximum volume: when h = 40/3

$\sf \Longrightarrow max= \dfrac{1}{3} \pi (\dfrac{40}{3} )^2(20-\dfrac{40}{3} )$

$\sf \Longrightarrow maximum= 1241.123 \ cm^3$

minimum volume: when h = 0

$\sf \Longrightarrow min= \dfrac{1}{3} \pi (0)^2(20-0)$

$\sf \Longrightarrow minimum=0 \ cm^3$

6 0

1 year ago

Read 2 more answers

Is it a,b,c or d I have 5 minutes please hurry

snow_lady [41]

Answer:

its a

Step-by-step explanation:

4/12 = 1/3

5 0

2 years ago

Read 2 more answers

Aidan is paying his taxes and realizes that he was in the first tax bracket (10%) last year. Eleven years ago, he bought a commo

Makovka662 [10]

So let us analyze the given table above. In the first tax bracket, he doesn't have to pay tax on the dividends. The $565 he earned in dividends is not taxable as well. Also the common stock he bought for $705 since this is a long term evidence. So the only taxable would be $780 in coupons on a corporate bond. So multiply this by 10% and you get $78. Therefore, the answer would be the first option. Hope this helps.

3 0

3 years ago

Beinggreat78 answer fast please :')

Dovator [93]

Answer:

17662.5 sq. feet

Step-by-step explanation:

We know that the formula for Area of a Circle is $A = \pi (r)^2$ .