Penny received an unexpected $5,000.00 gift from a distant relative. She invests itin a mutual fund that increases the value of the original investment by 8% each year.
You must show all calculations to earn credit.
How much will her original investment be worth in 10 years?
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Answer:
$9,000.00 is her original investment worth in 10 yrs.
5000 x 1.08 ^10 = 10794.6249864
Then subtract -500000 = 5794.62498636
Step-by-step explanation:
Why, because the first year is proved 5000 x 0.08 = 400
= 400 year 1 but cna keep only if stays in investment for 10 years
400 x 10 = 4000 interest on investment
5000+ 4000 = $9,000.00 SI
+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62
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Answers
Stephanie ! I see that you tried to draw a picture, but you didn't get very far.
Can I tell you what this example wants you to practice ?
Three things:
Thing #1: Remember the formula for the area of a rectangle.
Area = (length) times (width) .
Thing #2: Changing mixed numbers to fractions, and
fractions to mixed numbers.
Thing #3: Multiplying fractions.
This sandbox is a rectangle.
Its length is 3-1/12 yards.
Its width is 2-3/4 yards.
What is its area ?
Area = (length) times (width) .
Area = (3-1/12 yards) x (2-3/4 yards) .
In order to multiply mixed numbers, you have to change them both to fractions.
-- Change 3-1/12 to a fraction
3 and 1/12 is 3 wholes and 1/12
Each whole is 12 / 12.
3 wholes = 36/12
plus one more = 37/12 .
-- Change 2 and 3/4 to a fraction.
2 and 3/4 is 2 wholes and 3/4
Each whole is 4/4 .
2 wholes are 8/4 .
plus three more = 11/4 .
There you are. Now you know the length and width
of the rectangle as fractions.
Length = 37/12
Width = 11/4
Area = (length) times (width)
Area = (37/12) times (11/4)
Do you remember how to multiply two fractions ?
==> Multiply the numerators to get the numerator.
==> Multiply the denominators to get the denominator.
(37/12) x (11/4)
= (37 x 11) / (12 x 4)
= (407) / (48)
That's it ! As an improper fraction, the area is
407/48 square yards.
Now ... do you remember how to change an improper fraction
to a mixed number ?
I won't tell you how. Please look back in your math book, or in
the handouts, or in the homework, or in the notes, and find
how to change an improper fraction to a mixed number.
I know it's been taught in your class ... otherwise you would
not get this problem where you have to use it.
407/48 = (8 and 23/48) square yards.
That's the answer, but DON'T stop there. The answer is
NOT important. The important thing is that YOU need to
understand HOW to FIND the answer. Once you understand
that, it doesn't matter if you have the answer or not.
Nobody needs to know the area of Selena's sandbox !
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The answer would be 3 Feet!
Solution-
1) 117-78= 39
2) One foot is 13 paving stones.
3)39/13= 3 feet
Thus, your answer is 3 feet
Thank You!
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Answer:
The required value of e is 10.
Step-by-step explanation:
We are given to solve the following equation for the variable e :
To solve the given equation for e, we must take all the terms involving e on one side and the constant terms on the other side of the equation.
The solution of equation (i) is as follows :
Thus, the required value of e is 10.
Answer:
a
Step-by-step explanation:
Answers
Sarah = S
At the end
E = 2S (Because Emily has double Sarah)
E -> E + 17 (To make up the $17 she spent)
2S -> 3S (Because 2S is two thirds the amount Sarah had, as she spent a third)
E + 17 + 3S = 80 (Because their original amounts were equal to $80)
E + 3S = 63 (Simplifying equation)
I think Emily had 3x as much as Sarah