Answer:
-19. Cant be -6 as its to the right. the others are positive.
Answer:
the interest is $975
the total amount is $5975
Step-by-step explanation:
lets use tje formula
I=PRT
where I is interest earned
P is the principal amount(original amount)
R is the rate of interest
and T is the time in years
so
the principal amount is 5000 since it is the original amount
rate is
=0.065
time is 3 years
lets plug these values into our equation:
5000*0.065*3=I
5000*0.065*3=975
the interest is $975
the next part of the question is asking for the balance or the total amount which is principal+interest
5000+975=5975
the total amount or balance is $5975
hope this helps
Answer:
2 1/2
Step-by-step explanation:
Turn both fractions into improper fractions, multiply the whole number by the denominator and add the numerator.
4 3/4
4 * 4 + 3 = 19
19/4
2 1/4
2 * 4 + 1 = 9
9/4
Now since she drank 2 1/4 gallons of juice, subtract 9/4 from 19/4.
19/4 - 9/4 = 10/4
Now turn back into a mixed fraction, do this by putting 4 into ten twice and taking the remainder and putting it as numerator:
4 * 2 = 8
10 - 8 = 2
2 1/2
Hotdogs = $1.00
hamburgers = $1.75
5 hotdogs + 4 hamburgers = $12.00
4 hotdogs + 5 hamburgers = $12.75
hotdogs = x
hamburgers = y
5x + 4y = 12
4x + 5y = 12.75
subtract the second equation from the first:
(5x + 4y = 12) - (4x + 5y = 12.75) =
1x - 1y = -0.75
x + 0.75 = y ( this means one hotdog plus $0.75 equals one hamburger)
now substitute "y" for "x + 0.75" in either equation to find x ( I used the first equation)
5x + 4y = 12
5x + 4( x + 0.75) = 12
5x + 4x + 3 = 12
9x + 3 = 12
9x = 9
x = 1 ( one hotdog costs $1.00)
now substitute 1 for "x" in either equation to find y ( I used the first equation again)
5x + 4y = 12
5(1) + 4y = 12
5 + 4y = 12
4y = 7
y = 1.75 ( one hamburger costs $1.75)
checking answers with either equation ( input $1.00 for hotdogs and $1.75 for hamburgers):
equation 1:
5 hotdogs + 4 hamburgers = $12.00
5($1.00) + 4($1.75) = $12.00
$5.00 + $7.00 = $12.00
$12.00 = $12.00 ✔
equation 2:
4 hotdogs + 5 hamburgers = $12.75
4($1.00) + 5($1.75) = $12.75
$4.00 + $8.75 = $12.75
$12.75 = $12.75 ✔
Slope:
2
3
y-intercept: (0,−6)xy0−63−4