Create a system of equations
x + y = 123
5x + y = 343
I use substitution
y = 123 - x
5x + 123 - x = 343
4x + 123 = 343
4x = 220
x = 55
Plug in
x + y = 123
55 + y = 123
y = 68
Check
5x + y = 343
5(55) + 68 = 343
275 + 68 = 343
343 = 343
Answer:
D part
Step-by-step explanation:
3x + 80⁰ + 2x = 180⁰ (By Linear Pair)
5x + 80⁰ = 180⁰
5x = 100⁰
x = 20⁰
Hope it helps :)
Answer: Hello, 6
Therefore, the tenths value of 3.629 remains 6. The following table contains starting numbers close to 3.629 rounded to the nearest 10th.
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Step-by-step explanation:
Answer:
Total no. of houses = 140
Step-by-step explanation:
Let there are 9x flats and 5x bungalows.
Total bungalows = 50
It means,
5x = 50
x = 10
No of flats = 9x
= 9(10)
= 90
Total houses = no. of flats + no. of bungalows
= 50+90
= 140
So, there are 140 houses in the village.
Answer:
31 years to triple the investment
Step-by-step explanation:
Initial investment = 300
Triple amount that is final amount = 300*3= 900
rate of interest = 3.5 % = 0.035
we need to find out number of years (t)
for compounded continuously we use formula

A is the final amount
P is the initial amount
r is the rate of interest
t is the number of years

Divide both sides by 300

take 'ln' on both sides

ln(3) = 0.035t ln(e)
ln(e)= 1

t= 31.3889
Round to nearest whole number
t= 31 years