Answer:
Hannah should select the first option, because she will earn $2,181.48¢ in only ___12__ years, which is sooner than having to wait for ____18__ years and a total of ____$2,325.43¢__ , which is only a little than the first option.
Step-by-step explanation:
Please kindly see the attached file for more explanation
Answer:
150
Step-by-step explanation:
Since the value of the bond increases by 4% each year and only 1 year passed by then the ROI is not compounded and we only need to find the value before the 4% was implemented. In order to add 4% to a value we would multiply that value by 1.04 which increases that value by 4%. So, to find the value before the interest was added we would need to divide the new value by 1.04 instead.
$156 / 1.04 = $150
Finally, we can see that the value of the bond when Tyler's mom purchased it was 150
<span>Any point in figure A can be mapped to a point in figure B.</span>
Answer:
11z/4+3/10
Step-by-step explanation:
Distribute first then combine like terms.
Answer:
8
Step-by-step explanation:
Let's just call the number x for simplicity.
So, 7x is 8 less than x².
Putting this into an equation would look like this
x² - 8 = 7x
It looks like we'll have to factor this to solve. Before we do that we need to move the 7x to the left side so that everything is together.
x² - 7x -8 = 0
Now, we can proceed. To factor we first need to find the factors of -8.
The factors of -8 are
-2 ⋅ 4, -4 ⋅ 2, -1 ⋅ 8, 1 ⋅ -8.
We need to find the pair of factors that adds up to -7. The only ones that do are -1 and 8.
So now that we have these we can create a pair of binomials using them. This will give us the factored form of this equation.
( x + 1 ) ( x - 8 )
To find the solutions we will have to set them to 0 and solve each of these binomials individually.
x - 1 = 0
x = 1
So, one of the solutions is 1. It's not the one we want, since it's positive.
x - 8 = 0
x = 8
This is the one we want since it is positive.
