Before we start answering the question, let's define the compound interest formula:
Where:
<span>'A'</span> is the amount of money in dollars
'P' is the principal amount of money in dollars
'r' is the interest rate (decimal)
'n' is the number of times interest is compounded per year
't' is the time in years
<span>
(A) Find Principal Amount</span><u /><span><u>Given:</u>
</span>A = 12,000
P = ?
r = 0.08
n = 2 (semiannually)
t = 5
Now we plug our values in and solve:



∴ You would have to deposit $8106.77 in order to have $12,000 in 5 years from now.
(B) Find Principal AmountSame given values as above, with the exception of 't' which is now 10 instead of 5.



∴ You would have to deposit $5476.64 in order to have $12,000 in 10 years from now.
Hope this helps!
Answer:
4.25
Step-by-step explanation:
Answer:
If Kristen were to make 4 batches, and each batch requires 2 cups of flour, how many cups of flour would she need? To solve this question, we would just multiply 4 by 2, which gives us a final product of 8.
Similarly, in this question, if one batch requires 1 3/4 cups of flour and Kristen wants to bake 3 1/2 batches, she would need 1 3/4 x 3 1/2 cups of flour.
1 3/4 can be rewritten as an improper fraction- 7/4.
3 1/2 can also be rewritten as an improper fraction- 7/2.
Multiplying 7/4 and 7/2, we obtain a final product of 49/8, or 6 1/8.
This means, Kristen will need 6 1/8 cups of flour to make 3 1/2 batches, and her belief that she needs 3 3/8 cups of flour is wrong, as she needs a lot more than that.
Hope this helps!
Answer:
the answer is 96°
Step-by-step explanation:
it is an isosceles triangle as it's 2 sides are equal.
for an isosceles triangle, the angles made by the equal sides with the third side are equal.
and the sum of all angles in a triangle = 180°
42 + 42 + x = 180
x = 180 - 84
X = 96°
Answer:
Multiply the first equation by five to yield, 15x + 5y = 45. Add this equation to the second equation from the given,
15x + 5y = 45
+ 3x - 5y = 15
The answer would be 18x = 60. The value of x is 10/3. Therefore, the answer to this item is letter A.
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Step-by-step explanation: