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2 years ago

You put $500 in your bank account. With an interest rate of 5%, how long will it take the account to reach $600?

2 answers:

5 0

Hi there! $500 is currently in the bank and you earn 5% interest. 500 * 5% (0.05) is 25. You earn $25 in interest in 1 year. 500 is 100 a way from 600. 100/25 is 4. It will take 4 years for the account to reach $600.

Natali5045456 [20]2 years ago

3 0

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3 years ago

A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t

Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

$\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}$

Use the slope(m) and y-intercept (b) to write the equation:

$\begin{gathered} y=mx+b \\ \\ y=0.22x+17.2 \end{gathered}$ A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

$\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\ \\ y=23.58 \end{gathered}$ Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

$\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\ \\ 58=x \end{gathered}$ Then, after 58 months the tree would be 29.96feet tall

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11 months ago

8. Lauren wants to buy a shirt that costs $80. Her mother told her that she could only spend $35 for the shirt. The shirt finall

Artist 52 [7]

Answer:

No. Lauren cannot buy the shirt. It costs $48 after the discount.

Step-by-step explanation:

Shirt Cost: $80

Money: $35

Discount: 40%

First, find the amount of the discount by finding 40% of the price. 40% is equal to 0.40 (or 40 divided by 100).

40% of $80 = 0.40 x 80 = $32

Since it's a discount, the final price is the original price minus the discount.

$80 - $32 = $48

So, after a 40% discount, the price is still $48. Lauren only has $35, so it will still be too expensive!

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2 years ago

I am working on a test review. How can I write -1 <= 2x+7 <21 as two inequality statements? How do I join them with and/or

Tanya [424]

Answer:

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Not sure about the and/or statement

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3 years ago