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algol [13]
2 years ago
15

Wayne earns 7%

Mathematics
1 answer:
Ronch [10]2 years ago
7 0

Answer:

49

Step-by-step explanation:

3500 divided by 5 equals 700

700 times 7% equals 49

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Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1.
Nastasia [14]

\bf f(x)=x-1\qquad \qquad g(x)=3\cdot f(x)\implies g(x)=\underline{3(x-1)} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} x&g(x)\\ \cline{1-2} 1&0\\2&3\\3&6 \end{array}\qquad \qquad (\stackrel{x_1}{1}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{6})

\bf slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-0}{3-1}\implies \cfrac{6}{2}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=3(x-1)\implies y=\underline{3(x-1)}

7 0
2 years ago
Read 2 more answers
Elias was given a lock for his school locker. The lock contains numbers between
daser333 [38]

Answer:

34,220

Step-by-step explanation:

Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:

\binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{60}{3}=\frac{60!}{3!(60-3)!}\\\\\binom{60}{3}=\frac{60!}{3!(57)!}\\\\\binom{60}{3}=\frac{60*59*58}{3*2*1}\\ \\\binom{60}{3}=34220

Thus, Elias can make 34,220 unique 3-number codes given 60 different numbers.

6 0
2 years ago
PLZ HELP ASAP A candy machine contains spherical candies. Each candy is solid and has a diameter of 0.25 in.
NikAS [45]
Each candy has a volume of about 8.18 * 10^-3 which is simplified to .00818
5 0
3 years ago
(MUST SHOW WORKING)
myrzilka [38]
First of all, keep in mind :
m --> cm = times by 100
cm --> mm = times by 10
mm --> cm = divide by 10
cm --> m = divide by 100

so we know that a square has 4 equal sides and to find the area of a square we do base*height. now these two numbers on the base and height are the same so we're basically squaring them to get the area of 81. therefore, we do the reverse so square root 81 and we get the answer 9cm

now let's convert 9cm to mm
= 9*10 = 90
area in mm = 90mm

now let's convert 9cm to meters
= 9/100=0.09
area in m = 0.09m

and finally, we already worked out the area in cm
= 9cm

hope this helped :)


3 0
3 years ago
How to tell if an equation is linear without graphing
Inessa05 [86]

Answer:

A linear equation has the greatest x power at 1.

If you see an equation with only x (no x^2 or x^3 or stuff like that), you will know that it is linear.

7 0
2 years ago
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