Answer:
x = ± 4
y = - 2
Step-by-step explanation:
y = 0.5x² - 10 ------------------------(I)
y = -x² + 14 ------------------------(II)
Substitute the y value in equation (II)
0.5x² - 10 = -x² + 14 {Add x² to both sides}
0.5x² + x² -10 = 14 {combine like terms}
1.5x² - 10 = 14 {Add 10 to both sides}
1.5x² = 14 + 10
1.5x² = 24 {Divide both sides by 1.5}
1.5x²/1.5 = 24/1.5
x² = 16
x = ±4
Substitute x = 4 in (I)
y = 0.5 * 4² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Substitute x = -4 in (I)
y = 0.5 * (-4)² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Answer:
m+5nx(9-p)-6-2r
Step-by-step explanation:
here you go
It will be $2.50 for each pound of walnuts, and it will be $1 for each pound of chocolate chips.
I know this hold true because when we multiply $2.50 by 2, we get $5, and add that to the other $5 from the chocolate chips and we will get $10. We can also multiply $2.50 by 8 and add $3 from chocolate chips to get $20 + $3, or $23.
Answer:
The monthly payment for the loan amount for 20 years is $806.167
Step-by-step explanation:
The principal loan amount= $ 50,000
The rate of interest = 7 %
the time period of loan = 20 years = 20 × 12 = 240 months
let the amount after 20 years = $ A
<u>From Compounded method</u>
Amount = Principal × 
or, A = 50,000 × 
or, A = 50,000 × 
Or, A = 50,000 × 3.8696
∴ Amount = $ 193,480
So, The amount after 20 years = $ 193,480
The monthly payment amount = $ 
= $ 806.167
Hence The monthly payment for the loan amount for 20 years is $806.167 Answer
If you have an average of 97.2 on your current exam and you get a 99 on your next exam, your average will increase.
- Mean in mathematics is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the total number of values.
- To find the average, sum all the values in the set. Then divide the total by the number of values.
We have the current examination mean, xold = 97.2
Now, we receive, x = 99 on the next examination, the new mean will be:
xnew = (xold + x)/N
xnew = (97.2+99)/2
xnew = 196.2/2
xnew = 98.1
The new average is 98.1
98.1 > 97.2
So if you score 99 on your next exam, your average will increase.
Learn more about mean here
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