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3 years ago

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Edwerd deposited $10,000 into a savings account 4 years ago. The simple interest rate is 2%. How much money did edwerd earn in

interest? Substitute the values into the equation. Interest=$ _x_x_years

1 answer:

Ivan3 years ago

4 0

Answer:

Interest = $10000 x 0.02 x 4 = $800

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Prove that every bounded increasing sequence is convergent

aleksklad [387]

The proof of this can be get with a slight modification. It can be prove that every bounded is convergent, If (an) is an increasing and bounded sequence, then limn → ∞an = sup{an:n∈N} and if (an) is a decreasing and bounded sequence, then limn→∞an = inf{an:n∈N}.

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3 years ago

Arjun and Jessica each improved their yards by planting daylilies and shrubs. They bought their

Anvisha [2.4K]

Hi there! Let me know if you have questions about my answer:

One shrub is $11.

One daylily is $4.

Step-by-step explanation:

To find the cost of each item, write a system of equations, one equation for what each person bought, and solve for each variable.

<u>Define your variables.</u>

let 'd' be the cost of one daylily

let 'r' be the cost of one shrub

<u>Create a system using the variables and information from the question.</u>

Write an equation for what Arjun bought:

5d + 7r = 97 5 daylilies, 7 shrubs, totaling $97

Write an equation for what Jessica bought:

2d + 11r = 129 2 daylilies, 11 shrubs, totaling $129

<u>Solve the system.</u>

I will solve the system algebraically, using the substitution method. Isolate one variable in one of the equations.

I will isolate 'd' in Jessica's equation:

$2d + 11r = 129$ Start with Jessica's equation

$\frac{2d + 11r}{2} = \frac{129}{2}$ Divide everything in the equation by 2

$d + \frac{11r}{2} = \frac{129}{2}$ Simplify

$d = \frac{129}{2} - \frac{11r}{2}$ Isolate 'd' by subtracting $\frac{11r}{2}$ from both sides.

Now you have an expression for 'd'.

Substitute Arjun's equation with the expression for 'd'. Solve for 'r' to find the cost of one shrub.

$5d + 7r = 97$ Start with Arjun's equation

$5(\frac{129}{2} - \frac{11r}{2}) + 7r = 97$ Substitute 'd' for $d = \frac{129}{2} - \frac{11r}{2}$

$\frac{5*129}{2} - \frac{5*11r}{2} + 7r = 97$ Distribute the 5

$\frac{645}{2} - \frac{55r}{2} + 7r = 97$ Simplify the numerators

$\frac{645}{2} - \frac{55r}{2} + \frac{14r}{2} = 97$ Change 7r to a fraction over 2

$\frac{645}{2} - \frac{41r}{2} = 97$ Combine like terms, the terms with 'r'

$\frac{645-41r}{2} = 97$ Simplify

$645-41r = 194$ Multiply both sides by 2

$-41r = 194-645$ Subtract 645 from both sides

$-41r = -451$ Divide both sides by –41

$r = 11$ Solved for cost of one shrub

Substitute 'r' for 11 using either Arjun's or Jessica's equation. Then, isolate 'd' to solve for the cost of one daylily.

I will use Arjun's equation.

$5d + 7r = 97$ Start with Arjun's equation

$5d + 7(11) = 97$ Substitute 'r' for r = 11

$5d + 77 = 97$ Simplify. Subtract 77 from both sides.

$5d = 20$ Divide both sides by 5.

$d = 4$ Solved for the cost of one daylily

I hope this helped! Check out a similar problem about solving systems here to learn more:

brainly.com/question/11103098

7 0

3 years ago

Difference between<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B4%7D%7B5%7D%20%20-%20%20%5Cfrac%7B3%7D%7B10%7D%20" id="TexF

vampirchik [111]

Step-by-step explanation:

see below

$\longrightarrow \: \frac{4}{5} - \frac{3}{10}$

$\longrightarrow \: \frac{8 - 3}{10}$

$\longrightarrow \: \cancel{\frac{5}{10} }$

$\longrightarrow \: \frac{1}{2}$

3 0

2 years ago

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A ticket for a school musical is $12. There is a 5% transaction fee if the ticket is purchased online. What is the total cost of

gulaghasi [49]

Answer: The cost of a ticket bought online is $12.60.

Step-by-step explanation: First, we need to find the value of the transaction fee. Multiply 12 and 5%.

$12 x 0.05 = $0.60.

Now we have the fee. Lets add the fee with the original cost.

$12 + $0.60 = $12.60.

Therefore, we can conclude that the cost of a ticket that is purchased online is $12.60.

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3 years ago

Calculus AB Assignment: Writing Symmetrical Functions 4. The domain of f(x) is [O, ..) and 1 2 3 4 f(x) { } 1o in Х 1 2 1 5 1 17

AveGali [126]

Answer:

Step-by-step explanation:

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3 years ago