<u>Answer</u><u>:</u>
Equation: x + 2 = 7/8x - 15
Solution: x = -136
<u>Explanation</u><u>:</u>
x + 2 = 7/8x - 15
2 + 15 = 7/8x - x
17 = 7/8x - 8/8x
17 = -1/8x
17 × -8 = x
-136 = x
A. solve for 1 variable
let's solve for x in 2nd equation
add 2y to both sides
x=2y+4
sub 2y+4 for x in other equation
3(2y+4)+y=5
6y+12+y=5
7y+12=5
minu12 both sides
7y=-7
divide 7
y=-1
sub back
x=2y+4
x=2(-1)+4
x=-2+4
x=2
(2,-1)
B. eliminate
eliminate y's
multiply first equation by 2 and add to first
6x+2y=10
<u>x-2y=4 +</u>
7x+0y=14
7x=14
divide by 7
x=2
sub back
x-2y=4
2-2y=4
minus 2
-2y=2
divide -2
y=-1
(2,-1)
(2,-1) is answer
Answer:
c
Step-by-step explanation:
The number of the specimens would be in the culture after 5 minutes will be 7,962.62.
<h3>What is an exponent?</h3>
Consider the function:
y = a (1 + r) ˣ
Where x is the number of times this growth occurs, a = initial amount, and r = fraction by which this growth occurs.
A bacteria culture grows at a rate of 20% per minute.
If the culture initially has 3,200 bacteria specimens.
Then the equation will be
y = 3200 (1 + 0.2) ˣ
y = 3200 (1.20) ˣ
Then the number of the specimens would be in the culture after 5 minutes will be
y = 3200 (1.20)⁵
y = 7962.62
More about the exponent link is given below.
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The principal sum is Rs.10,000
Step-by-step explanation:
The formula of compound interest is:
where:
- I is the interest
- P is the principal investment amount (the initial deposit or loan amount)
- r is the annual interest rate (decimal)
- n is the number of times that interest is compounded per unit t
- t is the time the money is invested or borrowed for
Jharana got Rs.1881 interest of certain sum for 2 year at 9%
compounded yearly
∵ I = Rs.1881
∵ r = (9/100) = 0.09
∵ n = 1 ⇒ compounded yearly
∵ t = 2 years
Substitute all of these values in the rule above
∴ 
∴ 1881 = P(1 + 0.09)² - P
∴ 1881 = P(1.09)² - P
∴ 1881 = 1.1881 P - P
∴ 1881 = 0.1881 P
- Divide both sides by 0.1881
∴ P = 10,000
The principal sum is Rs.10,000
Learn more:
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