Answer:
$2159.07
Step-by-step explanation:
The compound interest formula is used to find the balance for the $1000 investment:
A = P(1 +r/n)^(nt)
A = 1000(1 +.012/12)^(12·10) = 1000·1.001^120 ≈ 1127.43
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For a 2% loss, the multiplier of the investment value is 1-.02 = 0.98. The value of the first $500 investment is ...
A = 500(1 -.02) = 490.00
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The continuous compounding formula is used for the second $500 investment.
A = Pe^(rt)
A = 500e^(.008·10) = 500e^.08 = 541.64
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The total value of Albert's investments is ...
$1127.43 +490 +541.64 = $2159.07
The missing values in the inequality problem are;
A = -9
B = 72
C = 22
<h3>What is the explanation for the above?</h3>
5p - 8 (p + 1) > 16 ......................... (1) Given
5 (-10) - 8 (-10 +1) > 16 ...................... (2) Given
Where P is equal to 10 [Given in the second line as given in equation 2 above; Hence,
Substitute 10 for p
⇒ 5 (-10) - 8(-10+1)> 16
⇒ -50 -8(-9) > 16
⇒ -50 + 72 > 16
Hence
22 > 16 → T
Please note that T is symbolic of "True" that is
it is true that 22 is greater than 16.
Learn more about inequality problems:
brainly.com/question/11613554
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Answer:
The intercept can be determined by a graphical method.
Step-by-step explanation:
Data:
Target Category I II III IV V
Frequency 64 250 364 259 63
The number of observations, n, = 1 000
The most possible solution is to plot a graph of Frequency against the target category and find the linear corresponding figure.
The correct answer for this question is this one: "C. 49:81"
There exists the same question from other source with the figure.
<span>The figure shows corresponding lengths in two similar figures. The ratio of the perimeters of the two figures is </span><u>49:81</u>
Hope this helps answer your question and have a nice day ahead.
<span> y-4=-8(x-1) is linear
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</span><span>y=x4 is non linear, it is a parabola or a curved line
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</span><span>y-x2=4.5 is non linear as it is curved
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</span><span>3x + 5y = 15 is linear</span>