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dolphi86 [110]
2 years ago
14

| -9 -11 | + 1 simplify

Mathematics
1 answer:
ololo11 [35]2 years ago
6 0

Answer:

21

Step-by-step explanation:

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Amy has $1,000 in a savings account at the beginning of the fall. She wants to have at least $500 in the account by the end of t
LuckyWell [14K]

Answer:

D. 1000 - 100w \geq 500; w \leq 5

Step-by-step explanation:

Given:

Initial amount in the bank = $1000

Money withdrawn each week = $100

Final amount should be at least $500.

Now, let the number of weeks the money is withdrawn be 'w'.

Therefore,

Money withdrawn in 'w' weeks = \textrm{Money withdrawn each week}\times w

Total Money withdrawn in 'w' weeks = 100w

Now, final amount after 'w' weeks is equal to the difference between initial amount and total withdrawal amount. Therefore,

Final amount = Initial amount - Total withdrawal amount

Final amount = 1000 - 100w

Now, final amount must be greater than or equal to $500. So,

\textrm{Final amount}\geq500\\\\1000-100w\geq500

Therefore, the  inequality that represents the inequality for the number of weeks Amy can withdraw money is:

1000-100w\geq500

Now, let us solve for 'w'.

Adding -500 and 100w both sides, we get:

1000-500-100w+100w\geq500-500+100w\\\\500\geq100w\\\\\textrm{The above inequality is reversed when taking 100w on the left side}\\\\100w\leq500\\\\w\leq\frac{500}{100}\\\\\therefore w\leq5

Therefore, the correct option is (D).

7 0
3 years ago
The principal represents an amount of money deposited in a savings account subject to compound interest at the given rate.
Paul [167]

Answer:

A) Amount in the account after 3 years = $ 7, 883.14

B)  Interest earned = $ 883.14

Step-by-step explanation:

The formula to be used is given as

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

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

In the question we are given the following values :

A = final amount = Unknown

P = initial principal balance = $7,000

r = interest rate = 4% = 0.04

n = number of times interest applied per time period = semi annually , n= 2

t = number of time periods elapsed = 3 years

A) Find how much money there will be in the account after the given number of years.

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

A = $7,000 (1 + 0.04/2)²×³

A = $7,000( 1+ 0.04/2)⁶

A = $7,000( 1.02)⁶

A = $ 7,883.14

The amount in the account after 3 years = $ 7,883.14

B. Find the interest earned.

To find the interest earned, we use the formula

A = P + I where

P (principal) = $ 7,000.00

A (Amount after 3 years) = $ 7,883.14

I = A - P

I = $ 7,883.14 - $ 7,000.00

I =$ 883.14

The interest earned = $ 883.14

8 0
2 years ago
X + y2 = 25 x + 3y = 33
Advocard [28]
Are these 2 different questions or is this one equation
7 0
2 years ago
What is the length of missing side b in the figure below?
Anna11 [10]
According to the theory
b^2 = (13)^2 - (7)^2
b^2 = 169 - 49 = 120
b= root(120)
b= 10.95 cm
4 0
3 years ago
Read 2 more answers
Which description is correct for the polynomial 2x² + 2?
Blizzard [7]

Answer:

The polynomial is a quadratic binomial

Step-by-step explanation:

we have

2x^{2}+2

Classify the polynomial

<u>By the number of terms</u>

we know that

A polynomial with two terms is a binomial

<u>By the Degree of a Polynomial</u>

we know that

The degree of a polynomial is calculated by finding the largest exponent in the polynomial

In the given problem the largest exponent is 2

so

Is a quadratic equation

therefore

The polynomial is a quadratic binomial


6 0
3 years ago
Read 2 more answers
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