Answer:
a = 18.15
Step-by-step explanation:
Combine like terms on the left side of the equation first. Add 7 and 42, then subtract 32 from the answer you get, then subtract 32 from that answer. This is going by order of PEMDAS.
Remember PEMDAS: (numbers 3 & 4 and numbers 5 & 6 are solved from left to right)
- Parentheses
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
After combining like terms on the left side, you get -15. Now combine like terms on the right side of the equation by adding 14.3 and 7.
Get -2a alone by subtracting 21.3 from both sides.
Divide both sides by -2.
In this equation, a should equal 
.
Answer:
28
Step-by-step explanation:
Answer:
Ambitious
Answer
Find out the what is the percentage of this discount .
To prove
Formula
Discount = Marked price - selling price
As given
a jar of natural peanut butter normally costs $4.00 .
it's on sale for $3.60 .
thus
Marked price = $4.00
selling price = $3.60
put in the above formula
Discount = 4.00 - 3.60
= 0.4
Formula
put the value
Discount percentage = 10%
Option (a) is correct .
Hence proved
Answer:
$9000 at 4$
and
$10000 at 8%
Step-by-step explanation:
Let's assume that "x" is the amount deposited in the 4% account and "y" is the amount deposited in the 8% account.
Recall the formula for interest as : 
where I is the interest, R is the annual rate of interest and t is the number of years.
Since there are two investments, we need to add both interests at the end of the one year: I1 = x (0.04) (1) = 0.04 x and I2 = y (0.08) (1) = 0.08 y
Total Interest = Interest (from the 4% account) + Interest (from the 8% account)
Total Interest = $1160 = 0.04 x + 0.08 y
we also know that the total invested (x + y) adds to $19,000, that is:
$19,000 = x + y
Then we can solve these system of two equations by substitution, for example solving for y in the second equation and using the y substitution in the first equation;
y = 19000 - x
1160 = 0.04 x + 0.08 (19000 - x)
1160 = 0.04 x + 1520 - 0.08 x
0.08 x - 0.04 x = 1520 - 1160
0.04 x = 360
x = 360/0.04 = $9000
Then the other investment was : y = $19000 - $9000 = $10000
3x-4y=10
-20-x+2y=10 then -30+2y=x now plug this in the other equation:
3(-30+2y)-4y=10
-90+6y-4y=10
2y=100
y=50
