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IrinaVladis [17]
2 years ago
5

How much interest will Hannah

Mathematics
1 answer:
baherus [9]2 years ago
6 0

keeping in mind that a year has 12 months, thus 6 months is really 6/12 of a year.

~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$630\\ r=rate\to 6.5\%\to \frac{6.5}{100}\dotfill &0.065\\ t=years\to \frac{6}{12}\dotfill &\frac{1}{2} \end{cases} \\\\\\ I = (630)(0.065)(\frac{1}{2}) \implies I\approx 20.48

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To make iced tea, 5 tea bags can be added to 1 gallon of water. Find how many bags can be used for 4 gallons of water
Nata [24]

Answer:

20 tea bags

Step-by-step explanation:

if 5 is 1 gallon then you do 5x4=20

4 0
3 years ago
Suppose each of 12 players rolls a pair of dice 3 times. Find the probability that at least 4 of the players will roll doubles a
polet [3.4K]

Answer:

Our answer is 0.8172

Step-by-step explanation:

P(doubles on a single roll of pair of dice) =(6/36) =1/6

therefore P(in 3 rolls of pair of dice at least one doubles)=1-P(none of roll shows a double)

=1-(1-1/6)3 =91/216

for 12 players this follows binomial distribution with parameter n=12 and p=91/216

probability that at least 4 of the players will get “doubles” at least once =P(X>=4)

=1-(P(X<=3)

=1-((₁₂ C0)×(91/216)⁰(125/216)¹²+(₁₂ C1)×(91/216)¹(125/216)¹¹+(₁₂ C2)×(91/216)²(125/216)¹⁰+(₁₂ C3)×(91/216)³(125/216)⁹)

=1-0.1828

=0.8172

7 0
3 years ago
Write y=10x as a logarithmic function please
Margaret [11]
\bf \textit{exponential form of a logarithm}&#10;\\\\&#10;log_a  b=y \implies   a^y=  b\qquad\qquad &#10;%  exponential notation 2nd form&#10;a^y=  b\implies log_a  b=y \\\\&#10;-------------------------------\\\\&#10;y=10^x\implies log_{10}(y)=x
5 0
3 years ago
How many solutions does the system have? \begin{cases} 5y =15x-40 \\\\ y = 3x-8 \end{cases} ⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ ​ 5y=15x−40 y=3x−8 ​ C
Ksenya-84 [330]

Answer:

(C) Infinitely many solutions

Step-by-step explanation:

Converting the lines into the from ax+by+c=0

5y=15x-40\\\Rightarrow 15x-5y-40=0

y=3x-8\\\Rightarrow 3x-y-8=0

\dfrac{a_1}{a_2}=\dfrac{15}{3}=5

\dfrac{b_1}{b_2}=\dfrac{-5}{-1}=5

\dfrac{c_1}{c_2}=\dfrac{-40}{-8}=5

So, \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}.

Hence, these lines have infinitely many solutions.

3 0
3 years ago
Please help
OverLord2011 [107]

<u>Answer</u>

= 5 units


<u>Explanation</u>

2a - 2 = a + 1

2a - a = 1+2

a = 3

XY = 3a - 4

= 3×3 - 4

= 9 - 4

= 5 units


6 0
3 years ago
Read 2 more answers
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