Answer:
1. $82,500
2. 169 : 110
Step-by-step explanation:
The computation is shown below:
Given that
1. Ratio between two computers is 3:2
And the first computer cost is $55,000
Let us assume the price of the second computer be x.
As we know that
Product of extremes = Product of mean.
2 : 3 :: 55000 : x .
Now cross mutiplication is to be done
2x = $55,000 × 3
x = $1,650,000 ÷ 2
= $82,500
2. Now if the price of the 2nd computer rised by $2,000
So the new cost would be
= $82,500 + $2,000
= $84,500
Now the ratio would be
= $55,000 : $84,500
= 169: 110
Find the third iterate, x3, of the function f(x) = 3x + 5 for an initial value of x0 = 1. <span>x1 = 3(1) + 5 = 8 ... x2 = 3(8) + 5 = 29 ... x3 = 3(29) + 5 = 92 </span>
Answer:
x = 1
y = 3
Step-by-step explanation:
We can solve this problem by inputting the second equation into the first equation by replacing the y variable with the second equation.
x + 3y = 10
y = x + 2
x + 3(x + 2) = 10
Now, distribute three with x and 2
3 * x = 3x
3 * 2 - 6
x + 3x + 6 = 10
4x + 6 = 10
Subtract 6 from both sides
4x = 4
So, x = 1
Solve for y by replacing x in the second equation with 1.
y = 1 + 2
y = 3
Answer:
Step-by-step explanation:
6) triangle ABC is similar to triangle DEC. It means that
AB/DE = BC/EC = AC/DC
Therefore,
6/21 = 10/y
Cross multiplying, it becomes
6y = 210
y = 210/6
y = 35
Also
6/21 = x/28
Cross multiplying, it becomes
6 × 28 = 21x
21x = 168
x = 168/21
x = 8
7) triangle JKL is similar to triangle NMP. It means that
JK/NM = KL/MP = JL/NP
Therefore,
49/14 = (9x + 1)/(x + 5)
Cross multiplying, it becomes
49(x + 5) = 14(9x + 1)
49x + 245 = 126x + 14
126x - 49x = 245 - 14
77x = 231
x = 231/77
x = 3
Answer:
Rotational symmetry only
Step-by-step explanation:
