Answer:
3 and 8 do not have common factors so the next time these two lessons would be at the same time is 3*8.
3*8=24
24 days from now he will have both
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
f(x) =2/3x -5
Let x = 6
f(6) = 2/3 (6) - 5
Multiply first
f(6) = 12/3 -5
= 4-5
= -1
The compound interest is obtained as $91.81, rounded off to the nearest hundredth.
<h3>How is compound interest estimated annually?</h3>
In order to compute compound interest, multiply the principle of the original loan by the annual interest rate multiplied by the number of compound periods minus one. You will then be left with the principal amount of the loan plus compound interest. The entire compound interest is then obtained by deducting the initial principal.
The equation that results will look like this:
Compound Interest =
Amount, rate of interest and time is given as $1500, 2% and 3 years respectively.
First, change r as a percent to r as a decimal.
r = R/100
r = 2/100
r = 0.02 rate per year,
Then solve the equation for compound interest.
So, the compound interest is obtained as $91.81, rounded off to the nearest hundredth.
To know more about Compound interest:
brainly.com/question/24924853
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Step-by-step explanation:
Part A:
Let be the number of mittens and be the number of scarves. Then we have the inequalities:
<em>This says Nivyana and Ana cannot make more than 30 scarves</em>
<em>This says that</em> <em>Nivyana and Ana have to earn at least $1000.</em>
Part B:
The graph is attached.
Notice that the graphs of the inequalities are solid lines, this just means that the points on these lines included to the solutions of each inequality.
The darker shaded region and the solid lines bounding it, are the solutions to the inequalities because that's where the values common to both inequalities are found.
Part C:
From the graph we get two possible solutions:
15 scarves & 10 mittens
25 scarves & 5 mittens.
These two points lie on the solid lines that bound the darker shaded region<em> (I picked those points to stress that the lines bounding the dark region are also solutions.)</em>
Answer: Second option.
Step-by-step explanation:
1. To solve this problem you can applly the quadratic formula, which is shown below:
2. The quadratic equation is:
3. Then:
a=1
b=-10
c=-10
4. Therefore, when you substitute these values into the quadratic formula, you obtain the following result:
x=5±√35