Using the interest formulas, it is found that the values of the investment are given as follows:
- Using simple interest, the value will be of $34,000.
- Using compound interest, the value will be of $144,461.
- Using continuous compounding, the value will be of $148,002.
<h3>Simple Interest</h3>
Simple interest is used when there is a single compounding per time period.
The amount of money after t years in is modeled by:
In which:
- r is the interest rate, as a decimal.
In this problem, we have that the parameters are as follows:
P = 9000, r = 0.07, t = 40.
Hence:
<h3>Compound interest</h3>
n is the number of compounding, for quarterly n = 4, then:
<h3>Continuous compounding</h3>
Hence:
More can be learned about the interest formulas at brainly.com/question/25296782
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3/8=.375
.375 move the decimal two times to the right to make it a percent so it would be 37.5%
Answer:
Step-by-step explanation:
Answer:
The results don't make sense
Step-by-step explanation:
We can solve by means of a 2x2 system of equations, we have to:
"x" is the number of children's tickets
"y" is the number of adult tickets
Thus:
8 * x + 8.75 * y = 259
x + y = 35 => x = 35 - y
replacing we have:
8 * (35 - y) + 8.75 * y = 259
280 - 8 * y + 8.75 * y = 259
- 8 * y + 8.75 * y = 259 - 280
0.75 * y = -21
y = -21 / 0.75
y = -28
Thus:
x = 35 - (-28) = 63
With these results we notice that the problem has inconsistency, since the value of the tickets cannot be given a negative number, I recommend reviewing the problem, since the approach is correct.
Given a = 3 and b = - 8 ,
= > 2b² - 4a + 4a²
= > 2( - 8 )² - 4( 3 ) + 4( 3 )²
= > 2( 64 ) - 4( 3 ) + 4( 9 )
= > 128 - 12 + 36
= > 116 + 36
= > 152
