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3 years ago

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Mathematics

1 answer:

Nadusha1986 [10]3 years ago

5 0

Answer:

Sorry, I don't speak confusion.

Step-by-step explanation:

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If $500 were deposited into an account paying 5% interest, compound monthly, how much would be in the account in 4 years?

sashaice [31]

Answer:

610.48

Step-by-step explanation:

The formula for compound interest is

A = P(1+r/n) ^nt where

A is the amount in the account

P is the principle

r is the interest rate

n is the number of times the interest is compounded per year

t is the time in years

A = 500(1+.05/12) ^12*4

A = 500(1+.0041666666) ^48

A = 500(1.0041666666) ^48

A = 500*1.220895355

A =610.4476775

Rounding to the nearest cent

A = 610.48

4 0

3 years ago

Find the mean of the data set: 10, 10, 15, 20, 15

Dmitrij [34]

58
Sorry if I got that wrong

4 0

3 years ago

Read 2 more answers

if an elephant were scaled up to triple its size while retaining its present proportions, its strength-to-weight ratio would be

andre [41]

Answer:

1/3 of the original

Step-by-step explanation:

As an an object is scaled up with the same proportions, one might think ts strength to weight ratio scales up with it. However, since the object as it scales greater in size also increases in weight, the strength to weight ratio actually decreases. If the elephant is scaled up 3 times, then its strength to weight ratio is divided by the same amount and is 1/3 the original or 1/3 as much.

4 0

4 years ago

In parallelogram ABCD , m∠A=(2x)° and m∠B=(5x+5)° . The figure shows parallelogram A B C D with vertices named clockwise from bo

lara [203]

Answer:

The measure of angles of parallelogram are

∠A = 50° ,

∠B = 130° ,

∠C = 50° ,

∠D = 130°

Step-by-step explanation:

Given as for a parallelogram :

The vertices of parallelogram is A B C D in clockwise

The measure of angle A = ∠A = ( 2 x )°

The measure of angle B = ∠B = ( 5 x + 5 )°

Now, for a parallelogram , the sum of measure of all four angles = 360°

From The property of Parallelogram

A ) The adjacent angles are supplementary

So, ∠A + ∠B = 180°

Or, ( 2 x )° + ( 5 x + 5 )° = 180°

Or, ( 7 x + 5 )° = 180°

Or , ( 7 x )° = 180° - 5°

Or , ( 7 x )° = 175°

∴ x = $\frac{175}{7}$

I.e x = 25°

So, ∠A = ( 2 x )° = ( 2 ×25° )

I.e , ∠A = 50°

∠B = ( 5 x + 5 )°

Or, ∠B = ( 5 ×25° + 5 )°

I.e , ∠B = 130°

B ) The opposite angles of parallelogram is equal

So, ∠C = ∠A = 50°

I,e ∠C = 50°

And ∠D = ∠B = 130°

I.e ∠D = 130°

Hence The measure of angles of parallelogram are ∠A = 50° , ∠B = 130° , ∠C = 50° , ∠D = 130° Answer

5 0

3 years ago

Question 5 of 30 What is the period of the graph of y 5cos(4x – 1) + 3?

Anastaziya [24]

Answer:

Period is $\frac{\pi}{2}$

Step-by-step explanation:

For the function $y=acos(bx-c)+d$ , the period is $\frac{2\pi}{|b|}$ .

Therefore, the period of the function is $\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}$ .

What this means is that the function's wave cycle will repeat every $\frac{\pi}{2}$ units.

8 0

3 years ago