Answer:
2403.2
Step-by-step explanation:
We get the length of the hypotenuse, and the base angle. To find the length of the base, we use the cosine of 16° since it is equal to the adjacent side length/ hypotenuse side length or cos 16°= x/2500. The isolate x by multiplying both sides by 2500. The cos 16° is around 0.96126, multiplied by 2500 (cos 16°(2500)) = 2403.1
Answer:
$3628.24
Step-by-step explanation:
we use the formula for accrued value (A) with compounded interest:
where A= accrued value (principal plus the accumulated interest)
P = principal -> in our case $6000
r = annual interest rate (in decimal form) -> in our case 0.06
n = number of compoundings per year. In our case 2 (semiannually)
t = time in years -> in our case 8
Since this is the value of principal plus accumulated interest, we subtract from it the principal ($6000) to get the value of just the interest:
$9628.24 - $6000 = $3628.24
Answer:
x = 8 and y = 10
Step-by-step explanation:
Since the figures are congruent:
Angle PQR = EFG
6y + x = 68
Segment QR = FG
2x - 4 = 12
Solving that:
2x - 4 = 12
2x = 16
x = 8
Replacing x in 6y + x =68
6y + 8 = 68
6y = 60
y = 10
Answer:
I simply listed the factors of 24, and tested which ones worked in this equation: P = 2a + 2b.
So the factors listed were:
24 x 1
12 x 2
8 x 3
6 x 4
After testing each one of these, 6 and 4 had worked for me.
P = 2(6) + 2(4)
P = 12 + 8
P = 20
Therefore, the dimensions of this rectangle are 6 and 4.
Step-by-step explanation:
