Answer:
12.75w + 25 = 114.25
w = 7
Step-by-step explanation:
since sarah is receiving 12.75 each week for a number of weeks, w (we don't know its value yet) we know that first part of the equation: that 12.75 is the coefficient next to w. Then we have the extra 25, so we know that adding 12.75w and 25 would give us sarah's total amount, which is 114.25.
to find out what w represents, we have to solve for it. solving for w means isolating it on one side. so, what we can do first is subtract 25 from both sides. that would then make the equation:
12.75w = 89.25
now, we have only one step left to isolating w, and that's to get 12.75 on the other side somehow. since we're multiplying 12.75 with w, and we're applying additive inverse properties, meaning the opposite of what is happening to cancel it out on the side it's in, we would divide 12.75 on both sides. in the left, 12.75 would cancel out, and in the right, we would divide 89.25 by 12.75. the quotient is 7.
now there's nothing left to take out to isolate w, so we have:
w = 7
sarah saved up for 7 weeks.
Answer:
The number of red circles to be added would be equal to 8 times the original amount of red circles
Step-by-step explanation:
Let
x ----> the number of red circles
y ----> the number of blue circles
Originally
----> equation A
How many more circles would need to be added to make the ratio of red to blue 3:1
Let
n ----> the number of additional red circles
----> equation B
substitute equation A in equation B
solve for n
therefore
The number of red circles to be added would be equal to 8 times the original amount of red circles
Answer:
The amount of the loan is $120,000 -10% + 2% = $110,400, assuming the "points" are added to the financed amount.
I find that the monthly payment will be
$848.89. There will be 360 such payments over 30 years, for a total payment amount of $30The amount of the loan is $120,000 -10% + 2% = $110,400, assuming the "points" are added to the financed amount.
R = Pi/[1 - (1+i)^(-n)] where
P = 110,400
R = the monthly payment
i = 8.5/[100(12)] = .007083...
n = 30(12) = 360 yielding
R = $848.88 per month.
Therefore, the total interest paid is 360(848.88) - 100,400.
5,600. Subtract the original principle (110,400) from that to get the interest paid.
hopes this helps :]
C = 2<span>πr
so
r = C/2</span><span>π
r = 3</span>π/2<span>π
r = 3/2
r = 1.5
A = </span><span>πr^2
A = </span><span>π(1.5)^2
A = 2.25</span><span>π
answer
</span><span>2.25π in²</span>
