Answer:
Step-by-step explanation:
= x²(-3 +5) +y²(2 -3) +5xy -2y
= 2x² -y² +5xy -2y
a) there are 4 terms in the simplified expression
b) 2 terms have negative coefficients (-y² and -2y)
Answer:
a) -3
b) 5
c) 7
d) 4
Step-by-step explanation:
We have the function 
a) We need to find the coefficient of 
.
This means that we need to find out what number is alongside the in this equation. From the function, we can find that it is -3
b) Now we need to find the degree of 
. Recall that the degree refers to the highest power of x that is present. As 
is the largest power, our degree would be 5.
c) The constant term refers to the number within the function that does not have any x's with it. In this function, that number would be 7.
d) Now we need to find the number of terms. For this one, we just need to count how many terms are separated by + or - signs. There are 4 in this function.
A. First, divide 1675 by 100 to find 1% of it.
1675 / 100 = 16.75
Then, multiply 16.75 by 4.6 to get 4.6%.
16.75 x 4.6 = 77.05
77.05 is the interest for one year.
Multiply it by 4 to get the interest for 4 years.
77.05 x 4 = 308.20
The interest earned is $308.20.
B. Add the interest to the original balance to get the total.
308.20 + 1675 = 1983.20
The balance of the account is $1983.20 after 4 years.
Hope this help!
Answer:
the equation should be corrected to fit the data of the problem. With the corrected equation a mass of 0.5 grams remains after 150 years
Step-by-step explanation:
for the mass y( in grams)
y=23* (1/2)^(t/45), t ≥ 0.
the initial mass is at t=0 , then
y= 23 grams → should be 16 grams
half-life from the equation = 45 years → should be 30 years
the correct equation should be
y=16*(1/2)^(t/30), t ≥ 0
then after 150 years → t= 150
y=16*(1/2)^(150/30)= 16*(1/2)^5 = 16/32 = 0.5 grams
then a mass of 0.5 grams remains after 150 years
