Answer: -1.9b + 7.8
Step-by-step explanation:
since there are only two like terms you need to combine 1.3b and -3.2b
Answer: The interest is: " $ 64 .00 " .
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Step-by-step explanation:
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Take note of the formula:
" Ⅰ = Prt " ;
→ that is:
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→ " Ⅰ = P * r * t " ;
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In which:
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" Ⅰ = the interest " ;
" P = the Principal amount of money " ;
" r = rate " (expressed as the "decimal form" of the percentage) ;
" t = time " (in years) ;
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We are given:
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P = $400 ;
r = 0.08 ;
{<u>Note of interest</u>: That is " 8% " ; since "8 % " = "(8/100)" ;
= "(8 ÷ 100)"
= " 0.08 ".}.
t = 2 ; {that would represent: " 2 (two) years".}.
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We are to solve for "Ⅰ" ; the amount of "Ⅰnterest" :
→ To solve for "Ⅰ " ; we plug in our given values; and calculate:
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→ Ⅰ = P * r * t ;
= 400 * 0.08 * 2 ;
= 64 .
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→ Ⅰ = $ 64.00 .
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Hope this is helpful to you!
Best wishes!
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Answer:
100000 = 8 (4) ^t
Step-by-step explanation:
We are multiplying by 4 each time
y = a (4)^t
The initial amount is 8
y = 8 (4)^t
We want to get to 100000
100000 = 8 (4) ^t
Write the givens first, then state AED is isosceles so angles A and D are also equal, and so on
The probability the man will win will be 13.23%. And the probability of winning if he wins by getting at least four heads in five flips will be 36.01%.
<h3>How to find that a given condition can be modeled by binomial distribution?</h3>
Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
P(X = x) = ⁿCₓ pˣ (1 - p)⁽ⁿ⁻ˣ⁾
A man wins in a gambling game if he gets two heads in five flips of a biased coin. the probability of getting a head with the coin is 0.7.
Then we have
p = 0.7
n = 5
Then the probability the man will win will be
P(X = 2) = ⁵C₂ (0.7)² (1 - 0.7)⁽⁵⁻²⁾
P(X = 2) = 10 x 0.49 x 0.027
P(X = 2) = 0.1323
P(X = 2) = 13.23%
Then the probability of winning if he wins by getting at least four heads in five flips will be
P(X = 4) = ⁵C₄ (0.7)⁴ (1 - 0.7)⁽⁵⁻⁴⁾
P(X = 4) = 5 x 0.2401 x 0.3
P(X = 4) = 0.3601
P(X = 4) = 36.01%
Learn more about binomial distribution here:
brainly.com/question/13609688
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