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Archy [21]
2 years ago
7

You construct a budget to determine how much money you will need to start your own catering business. You take your savings of $

15000 and hope to invest this money for 5 years. You have two investment opportunities for your money you can either invest it into an account that pays you simple interest at 5% or you can choose an account that pays 3.9% compounded monthly.
Mathematics
1 answer:
tatiyna2 years ago
8 0

Answer:

Compound interest is the best.

Step-by-step explanation:

Simple interest is that which is not added to the initial capital once the term of the investment or credit has expired.

Compound interest is that which is added to the initial capital at the end of the investment or credit.

Simple interest:

I= C x i x t

15,000 * 0.05 * 5 = $ 750

Compound interest:

Cf= Ci (1+i)ᵗ

Cf = 15,000 * (1.039)^5 = $ 18,162.22

So, if Cf - Ci = I -> 3,162.22 is the compound interest.

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The answer to what is 3/20 of a circle is 54 because we know a circle is 360 degrees so we divide that by 30 and we get 18. Now that we have 18 we multiply that by 3 and we get our answer of 54
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2 years ago
Choose all the ones
ElenaW [278]

Answer:

A, C, D

Step-by-step explanation:

A. $5.60 per class

$196 divided by 35

B. $6.50 per class

$260 divided by 40

C. $5.00 per class

$250 divided by 50

D. $5.50 per class

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E. $7.60 per class

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8 0
2 years ago
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The sum of a number and its reciprocal is 41/20. Find the number. smaller value larger value
Natali [406]

Step-by-step explanation:

Let the number is x. Its reciprocal will be 1/x. According to given condition, we get :

x+\dfrac{1}{x}=\dfrac{41}{20}\\\\\dfrac{x^2+1}{x}=\dfrac{41}{20}\\\\20x^2+20=41x\\\\20x^2-41x+20=0

It is a quadratic equation. The values of x are :

20x^2-25x - 16x+ 20 =0\\\\5x(4x - 5) -4( 4x - 5) = 0\\\\(5x-4)(4x-5)=0\\\\5x-4=0\ \text{and}\ (4x-5)=0\\\\x=\dfrac{4}{5}\ \text{and}\ x=\dfrac{5}{4}

The smaller number is 4/5 and the larger number is 5/4.

6 0
3 years ago
An unusually wet spring has caused the size of a mosquito population in some city to increase by ​8% each day. If an estimated ​
tatyana61 [14]

Answer:

The number of mosquitoes that will inhabit the city on May 25 is 4,471,200.

Step-by-step explanation:

Note: This question is not complete as some important figures and points are omitted. The complete question is therefore provided before answering the question as follows:

An unusually wet spring has caused the size of a mosquito population in some city to increase by ​8% each day. If an estimated ​180,000 mosquitoes are in the city on May 12​, find how many mosquitoes will inhabit the city on May 25. Use y= 18​0,000(1.08)x where x is number of days since May 2.

The explanation to the answer is now given as follows:

Given;

y = 18​0,000(1.08)x = 18​0,000 * 1.08 * x .................... (1)

Where;

y = Number of mosquitoes that will inhabit the city on May 25 = ?

x = Number of days since May 2 = 25 - 2 = 23

Substituting for x = 23 into equation (1), we have:

y = 18​0,000 * 1.08 * 23

y = 4,471,200

Therefore, the number of mosquitoes that will inhabit the city on May 25 is 4,471,200.

3 0
2 years ago
Simplify: 4x^2+36/4x•1/5x
user100 [1]
\frac{4x^2+36}{4x}* \frac{1}{5x}  = \frac{4(x^2+9)}{20x^2} = \frac{x^2+9}{5x^2}
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2 years ago
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