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-
In what time will 5120 amount to 7290 at 12 1/2% per annum compounded annually?

Answers

Answer 1

Answer:

The time will be "3 years".

Step-by-step explanation:

The given values are:

Principle,

P = 5120

Amount,

A = 7290

Rate,

r = 12.5

Time,

n = ?

As we know,

⇒  [tex]A = P[1+\frac{r}{100} ]n[/tex]

On substituting the values, we get

⇒  [tex]7290=5120[1+\frac{12.5}{100} ]n[/tex]

On applying cross-multiplication, we get

⇒  [tex]\frac{7290}{5120}=[1+\frac{125}{100}\times 100 ]n[/tex]

⇒  [tex]\frac{9}{8}\times 3=[8+\frac{1}{8} ]n[/tex]

⇒  [tex]n = 3 \ years[/tex]    


Related Questions

Circle T is given below. ZUTV and ZXTW are congruent.

What is the measure of chord WX?
cm

Answers

Answer:

Step-by-step explanation:

First note that the triangles shown are isosceles triangles due to equality of two of their sides which is radius. So their baseline angles are equal

Since their middle angle are equal too, so their 3 angles are the same. It menas both triangles are similar.

However, we know two of three sides are equal, but the third should be also because of their similarity.

y+4 = 2y - 3

2y - y = 4 - 3

y = 4+3

y = 7

Therefore,

2y-3 = 2.7-3 = 14-3 = 11

Answer is 11 centimeters

3 Anthony has
$5 to buy breakfast in the
cafeteria a few times this week. Each
breakfast costs $1.25. Which inequality
represents the relationship between the
number of breakfasts, b, he can buy and
the amount of money he has?
F 5 1.25 + b
G5 < 1.25 + b
H 5 > 1.25b
J 5 < 1.25b

Answers

Answer:

The answer would be letter J

The inequality for total expenditure & number of breakfasts is 5 > 1.25b

Formulation of inequality equation for expenditure & breakfasts

Assumed : Number of breakfasts = b

Number of breakfast meals x Price per breakfast meal = Total Expenditure

Total expenditure should be less or than equal to $1.25

So, 1.25b < 5

It implies that inequality : 5 > 1.25b

To learn more about Inequality, refer https://brainly.com/question/19491153?referrer=searchResults

Find the inverse of the following function.
f(x) = + 12
OA (1) = x
= 1 – 12
OB. (v) = 12 - Foto
oc. 5- (6) = x3 – 12
OD. 1-() =
= 1 + 12

Answers

Answer:

c

Step-by-step explanation:

exchange y and x

then find y

Suppose the depth of the tide in a certain harbor can be modeled by y = 23 - 5 cos (6.), where y is the water depth in fect
and t is the time in hours. Consider a day in which t= 0 represents 12:00 midnight. For that day, when are high tide and
low tide and what is the depth of each?
a. high tide at 6:00 a.m. and 6:00 p.m., depth 28 ft
low tide at 12:00 noon and 12:00 midnight, depth 18 ft
b. high tide at 6:00 a.m. and 6:00 p.m., depth 23 ft
low tide at 12:00 noon and 12:00 midnight, depth 5 ft
c. high tide at 12:00 noon and 12:00 midnight, depth 28 ft
low tide at 6:00 a.m. and 6:00p.m., depth 18 ft
d. high tide at 12:00 noon, depth 23 ft
low tide at 6:00 a.m., depth 5 ft

Answers

High tide at 6:00 a.m. and 6:00 p.m., depth 23 ft low tide at 12:00 noon and 12:00 midnight, depth 5 ft. Therefore, option B is the correct answer.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given trigonometric function is y=23-5cos(πt/6).

The given equation is y=23-5cos(πt/6), where y is the water depth in feet and t is the time in hours.

To find the high and low tide depths, we need to find the maximum and minimum values of y.

The maximum value of y is obtained when cos(πt/6) = -1, which gives y = 23 - 5(-1) = 28 ft.

The minimum value of y is obtained when cos(πt/6) = 1, which gives y = 23 - 5(1) = 18 ft.

To find the time when high and low tide occur, we need to find the values of t when cos(πt/6) equals -1 and 1 respectively.

When cos(πt/6) = -1, we get πt/6 = 3π/2, which gives t = 12 hours.

When cos(πt/6) = 1, we get πt/6 = 0, which gives t = 0 hours.

Since t = 0 represents 12:00 midnight, we can conclude that high tide will occur at 6:00 a.m. and 6:00 p.m., with a depth of 28 ft, and low tide will occur at 12:00 noon and 12:00 midnight, with a depth of 18 ft.

Therefore, option B is the correct answer.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

Multiply and find the value of x

Answers

Answer:

X=15

Step-by-step explanation:

Question 5 (1 point)
Find the volume of the figure below. Leave in terms of TT for answers that contain T. Round your answer to the nearest hundrednth if
necessary
7 ft
8 ft
10 ft
Оа
214.21 ft3
Ob
186.67 ft?
Ос
115.78 ft?
Od
560 ft3

Answers

Answer:

The volume of the shape is 560 ft^3

Step-by-step explanation:

To find the volume of the figure, we need to multiply the base area by the height of the figure

mathematically, we have the base area as a rectangular shape and its area is the product of its side lengths

We have this as 8 ft * 10 ft = 80 ft^2

So multiplying this by the height which is 7 ft, we have this as;

7 ft * 80 ft^2 = 560 ft^3

Hi! This is the question:

Answers

Answer:

D

Step-by-step explanation:

afhiutffhjoiyrdcvkoitredcbkoydcvkirdvjut

Answer:

y = 2x

Step-by-step explanation:

i only need a little guidance on this, please.

Answers

Answer:

Use the following identities:

sin²θ + cos²θ = 1

Since sinθ = -1

cos²θ = 1 - sin²θcosθ = √1 - sin²θ = √1 - (-1)² = √0 = 0

Tangent:

tanθ = sinθ / cosθtanθ = -1 / 0 = undefined in any interval where sinθ = -1

sinØ=-1

cosØ

√1-sin²Ø√1-10

tanØ

sinØ/cosØ1/0undefined

The first 4 terms of a sequence are 5,-3,-11,-19 which of the following is an equation for the nth term of the sequence?

Answers

Answer:

Step-by-step explanation:

Option D is the correct answer

The next term is - 27

In AWXY, w = 6.7 inches, x = 7.4 inches and ZY=71°. Find the area of AWXY, to the
nearest 10th of a square inch.

Answers

Answer:

23.4

Step-by-step explanation:

The area of the triangle is 23.55 in².

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

ΔWXY

w = 6.7 inches

x = 7.4 inches

∠Y = 71°

Now,

The area of the triangle.

= 1/2 (wx) siny

= 1/2 x (6.7 x 7.4) x sin 71
= 1/2 x 49.58 x 0.95

= 23.55

Thus,

The area of the triangle is 23.55 in².

Learn more about triangles here:

https://brainly.com/question/25950519

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Se prestan 45 000 € y al cabo de un año, 4 meses y 20 días se reciben 52 500 €. Calcular la tasa de interés

Answers

Answer:

the rate of interest is 11.7453%

Step-by-step explanation:

Given that

The present value is € 45,000

The Future value is €52,500

Time period 1 year, 4 months and 20 days i.e. 1.38809 years

We need to find out the interest rate

Here we apply the RATE formula in the spreadsheet

The formula is

= RATE(NPER;PMT;-PV;FV;TYPE)

The PMT would be zero

After applying the above formula, the rate of interest is 11.7453%

.b) In a exam, Biraj got 350 marks and failed by 20 marks lf the percentageof pass marks is 40%, what is the full marks​

Answers

Answer:

925 full marks

Step-by-step explanation:

350 + 20 = 370 marks required to pass

370 / 0.40 = 925 full marks

HELP!!!!!!!!


5. chords AB and CD intersect, forming segments with the measurements shown. What is the value of x?​

Answers

Answer:

I don't know if this is correct but I'm pretty sure its C:

explanation: CD is in total 10 in length, The first part of AB is 3 before the lines intersect, AB is larger than CD because of its position, Again i wouldn't totally trust this answer but I think I'm correct

Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth

Answers

Answer:

Step-by-step explanation:

Write an exponential function and then find the value when t=7 initial value2000 annual rate:9.2%growth

Exponential growth function

= y = a(1 + r)^t

Solving for y

y = 200(1 + 0.092)⁷

HELP PLEASE I NEED IT LIKE NOW ILL GIVE BRAINLEST

Answers

Answer:

42

Step-by-step explanation:

Since the scale factor is , we know that the bigger shape went to the smaller shape.

If we know that the smaller shape's side, 12, is  of the bigger one, we can make the equation

.

To solve for x, we can divide both sides by  .

We can multiply by the reciprocal:

Hope this helped!

Which graph best represents the
solution to the following pair of
equations?
y = -X - 5
y = 2x + 4

Answers

Answer: The first graph

Step-by-step explanation: I used a graphing calculator

Find the hypotenuse of the triangle, the
distance between points (4, 4) and (-2,-2).
[?]
(4.4)
Enter the number that
6 goes beneath the radical
symbol
(-2,-2)
6

Answers

6 radical 2 is the answer

Which ordered pair is a solution to the equation y= 4x - 8?
(2, 1)
(3, 5)
(4, 8)
(5, 10)

(Please help me ASAP I will give u 30 points and brainliest.

Answers

Answer:

(4,8)

Step-by-step explanation:

1=8-8 no

5=12-8 no

8=16-8 YES

10=20-8 no

Answer:

I have that same problem!

Step-by-step explanation:

Find the value of x- helppp

Answers

Answer:

60º

Step-by-step explanation:

A triangle is 180º so you do (180-60)/2 and you get that x=60.

Hope that helps :)

Answer:

Hey love! x = 60

Step-by-step explanation:

Because a triangle adds up to 180 so

180 - 60 = 120 and sense both angles will be the same measure I divide 120 by 2 and get 60 so

x =60 Hope that helps!

Can someone please help me

Answers

Answer:

11^2*pi= 121pi

Step-by-step explanation:

3.14x11^2

3.14x121=121pi

PLEASE HELP ! giving a lot of points!

Answers

Answer:

458 g144 g

Step-by-step explanation:

As per equation, the initial amount is:

A(0) = 458*(1/2)^(0/30) = 458*1 = 458 g

Sample amount left after 50 years:

A(50) = 458*(1/2)^(50/30) = 144 g (rounded)

Which is a direct variation equation?

1. Y=x+5
2. Y=-5/x
3. Y=-5x
4. Y=x-5

Help

Answers

Answer:

3. y = -5x

Step-by-step explanation:

In a direct variation equation, the constant of proportionality (k) is a direct coefficient of the variable x.

Y will be set equal to x multiplied by this coefficient.

Since y = -5x directly relates x to y, with the constant of proportionality, it is a direct variation equation.

So, 3. y = -5x is the correct answer.

There are 18 students participating in a spelling bee. How many ways can the students who go first, second, third, and fourth be chosen? a. 73,440 ways c. 4,896 ways b. 1,028,160 ways d. 13,366,080 ways

Answers

Answer:

the answer is: A

18 * 17 * 16 * 15 = 73,440

Can someone tell me this please

Answers

Answer:

y=11/3

Step-by-step explanation:

39 = 6(1) + 9y

39 = 6 + 9y

39 - 6 = 9y

33 = 9y

9y = 33/9

y = 11/3

Answer:

y = 11/3

Step-by-step explanation:

Sometimes it's just how things are written that makes them seem super hard.

R = 6x + 9y is the equation, and then they say what to sub in for x and R. So now we have:

39 = 6(1) + 9y

39 = 6 + 9y

subtract 6 from both sides

33 = 9y

y = 33/9, simplified to 11/3

Problem PageQuestion A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 lower than in the first. The tax in the first city was 10%, and the tax in the second city was 8%. The total hotel tax paid for the two cities was $825. How much was the hotel charge in each city before tax?

Answers

Answer:

the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750

Step-by-step explanation:

Let a represent the charge in the first city before tax and b represent the charge in the second city before tax.

Therefore tax in first city = 10% of a = 0.1a

Tax in second city = 8% of b = 0.08b

From the total tax as $825, hence:

0.1a + 0.08b = 825           (1)

The hotel charge before tax in the second city was $1500 lower than in the first. This gives the equation:

b = a - 1500

a - b = 1500                    (2)

To find a and b, solve equation 1 and 2 simultaneously. Multiply equation 2 by 0.1 and subtract from equation 1:

0.18b = 675

b = $3750

a = b + 1500 = 3750 + 1500 = 5250

a = $5250

Therefore, the hotel charge in the first city is $5250 while the hotel charge in the second city is $3750

(WILL GIVE BRAINLIEST)
Vanessa has a vase shaped like the triangular prism shown.
She wants to paint the vase's sides, but not the top and
bottom. What is the closest to how many square
centimeters of paint will she need?
ANSWER CHOICES:
27.2 cm^2
31.2 cm^2
17.6 cm^2
44.8 cm^2


Answers

Answer:

C.

Step-by-step explanation:

4 x 2.8 x 2 x 2 = 44.8

Newa
1 pts
Question 8
Which of the following is NOT true about the law-making process in Congress?
O Congress can overrule the president's veto with a 3/4 vote
The House of Representatives and Senate pass the bill along with a majority vote.
A committee discusses debates and votes on a bill
The President can sign the bill into law or veto the bill
Question 9
1 pts

Answers

Answer: They all look correct to me. The only on the might work is the House of Representatives and Senate pass the bill along with a majority vote.

Step-by-step explanation:

what is the value of [(-3)^3]^2+2^4?

Answers

745!

Hope this helped :)

31% of what number is 25?​

Answers

Uhh, I think it is 80.65

Hope this helped ( ̄︶ ̄)↗ 

You must convert 31% to a decimal so divide it by 100 to get .31. Then multiply .31 by 25 to get 7.75.
Answer: 7.75

While rowing in a race, John does 3960 J of work on the oars in 60 s. What is the power output in Watts?

Answers

Answer:

66 Watts

Step-by-step explanation:

Given data

Work= 3960Joules

Time= 60 seconds

We know that the expression for power is

Power= Work/TIme

Power= 3960/60

Power=66 Watts

Hence the power is 66 Watts

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