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Vikki [24]
3 years ago
13

Amelia plans to open a compound interest savings account with a $22,000 deposit at a bank with an annual interest rate of 5.25%.

How much more interest will she earn over 10 years if she chooses an account that compounds interest quarterly instead of annually?
Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0
Compound interest formula

<span>A = P(1+r/n)^(nt)</span>

annually:

quarterly:

A = 22,000 ( 1 + 0.0525/1 )^10  = 36,698.11

quarterly:

A = 22,000 ( 1 + 0.0525/4 )^(4*10 ) = 37,063.29

37,063.29 - 36,698.11 = 365.18


answer: compound interest quarterly earned $365.18 more than annually


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A is approximately 200.86 square units.

Step-by-step explanation:

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there are 4 sections of seats I the playhouse theatre. each section has 7 groups of seats.each group has 25 seats. how many seat
Nady [450]
To find the number of seats, let's do it using multiplication!

First, to see how many seats are in one big section of the theatre, multiply 7 groups of seats by 25 seats:

7 x 25 = 175

Now, knowing this, multiply 175 by 4 to get the total number of seats in the theater!

175 x 4 = 700

Therefore, there are 700 seats in the theatre.

Hope this helps!
3 0
3 years ago
How many different simple random sampmes of size 5 can be obtained from a pppulation whose size is 43?​
Nesterboy [21]

Answer:

Number of random samples = 962598

Step-by-step explanation:

A random sample represents  the responses for a certain survey of a part of the population.

A sample size is the part of the population being surveyed.

For a population N the number of different random samples that can be chosen for a sample size x can be calculated as = NCx

This can be calculated as :

NCx=\frac{N!}{x!(N-x)!}

Given:

Population size = 43

Sample size = 5

Number of random samples = 43C5

⇒ \frac{43!}{5!(43-5)!}

⇒ \frac{43!}{5!(38)!}

⇒ \frac{43\times42\times41\times40\times39}{5\times4\times3\times2\times1}    [Canceling out the common terms]

⇒  962598   (Answer)

4 0
3 years ago
The value of a car bought new for $28900 decreases 15% each year. Identify the function for the value of the car. Does the funct
Eva8 [605]

Answer:

<u>V (t) = 28,900 - 4,335t</u>

<u>The function clearly represent a decay</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Value of the car = $ 28,900

Annual depreciation = 15% = 0.15

2. Identify the function for the value of the car. Does the function represent growth or decay?

Let y represent the value of the car after t years of utilization, let p the price of the car and d, the annual depreciation, therefore:

V (t) = p - (d * t * p)

Replacing with the values we know:

V (t) = 28,900 - (0.15 * t * 28.900)

V (t) = 28,900 - (0.15 * t * 28.900)

<u>V (t) = 28,900 - 4,335t</u>

<u>The function clearly represent a decay.</u>

8 0
4 years ago
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