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3 years ago

The formula for compound interest is:

Mathematics

1 answer:

sveta [45]3 years ago

5 0

Answer:

Future value, A = $642

Step-by-step explanation:

Given the following data;

Principal = $500

Interest rate = 5% = 5/100 = 0.05

Time, t = 5 years

n = 365

To find the future value, we would use the compound interest formula;

$A = P(1 + \frac{r}{n})^{nt}$

Where;

A is the future value.

P is the principal or starting amount.

r is annual interest rate.

n is the number of times the interest is compounded in a year.

t is the number of years for the compound interest.

Substituting into the equation, we have;

$A = 500(1 + \frac{0.05}{365})^{365*5}$

$A = 500(1 + 0.000137)^{1825}$

$A = 500(1.000137)^{1825}$

$A = 500*1.2840$

Future value, A = $642

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A school did a survey among 100 students to find their sports preferences. The students were asked about their preferences for s

Helen [10]

Part a)
we know that

Total number of students = 100
80 students like soccer.
So
this means 20 students do not like soccer.

Out of 80 who liked soccer, 30 liked volleyball
so
this means remaining 50 do not like volleyball.

Out of 45 students who likes volleyball, 30 likes soccer (mentioned in previous statement),
so
15 did not like soccer.

Based on this data, we can complete the table
see the attached picture.

Part b)
Number of students who do not like soccer = 20
Number of students who do not like volleyball = 55
This is also include 5 students who do not like both games.
So
number of students who do not like either soccer or volleyball
= 20 + 55 - 5 = 70 students

Percentage of students who do not like either soccer or volleyball
= 70/100 = 70 %

the answer part b) is
70%

Part c)
The survey reveals a greater dislike for volleyball.
80 students like soccer and only 45 students like volleyball.
Only 20 students do not like soccer, while 55 students do not like volleyball.

the answer part c) is
This shows a greater dislike for volleyball as compared to soccer.

4 0

3 years ago

Read 2 more answers

Ricardo earns $25 allowance each week. How can she mentally compute her total earnings after 7 weeks?

dexar [7]

Answer:

7*25= (25*4)+(25*3)=$175

Step-by-step explanation:

Expand equation

8 0

3 years ago

if h=-16t ²+160t represents the height of a rocket in T seconds after it was fired when will the rocket hit the ground?

makkiz [27]

Answer:

The time after which the rocket hit the ground is 5 seconds

Step-by-step explanation:

Given as :

The distance of the cover by rocket at the height h = - 16 t² + 160 t

Let the time after which rocket hit the ground = T seconds

Now, When the rocket hits the ground, then at that time, the velocity of the rocket becomes zero.

I.e velocity = $\frac{\partial h}{\partial t}$ = 0

Or, v = $\frac{\partial h}{\partial t}$ = 0

Now, v = $\frac{\partial h}{\partial t}$

Or, v = $\frac{\partial (-16t^{2}+160t)}{\partial t}$

or, v = - 32 t + 160

Now, ∵ velocity of rocket after reaching the ground becomes zero

So, v = - 32 t + 160 = 0

Or, 32 t = 160

Or, t = $\frac{160}{32}$

∴ t = 5 sec

So, The time after which the rocket hit the ground = 5 sec

Hence The time after which the rocket hit the ground is 5 seconds answer

6 0

3 years ago

A shipment of 24 electric typewriters are rejected if 3 are checked for defects and at least 1 is found to be defective. Find th

Maslowich

Answer:

You keep them if you test 3 and all pass.

There are 18 good ones and 6 bad (making 24)

Chance of first passing is 18/24

If it passes, there are now one less good and one less total.

Chance of second passing is 17/23

If it passes, there are now one less good and one less total.

Chance of second passing is 16/22

Total is (16 x 17 x 18) / (22 x 23 x 24) = about 0.4 (0.403162055 is you really want to know).

So probability all are ok is 0.4

Thus probability you find at least one bad one is 0.6

Hope this helps you out!

8 0

3 years ago

Find the measure of the are or angle indicated. Assume that lines which appear tanget are tangents

IgorLugansk [536]

Given:

In a circle, two chords CE and DU intersect each other inside the circle at B.

Measure of arc CD = 185 degrees.

Measure of arc EU = 55 degrees.

To find:

The measure of angle CBD.

Solution:

Intersecting chords theorem: According to this theorem, if two chords intersect each other inside the circle then the measure of angle on the intersection is half of the sum of intercepted arcs.

Using Intersecting chords theorem, we get

$m\angle CBD =\dfrac{1}{2}(arcCD+arcEU)$

$m\angle CBD =\dfrac{1}{2}(185^\circ +55^\circ )$

$m\angle CBD =\dfrac{1}{2}(240^\circ )$

$m\angle CBD =120^\circ$

Therefore, the measure of angle CBD is 120 degrees.

6 0

3 years ago