Answer:
$12,415.48
Step-by-step explanation:
A = P (1 + r/n)^(nt)
where A is the final amount,
P is the initial amount,
r is the annual interest rate as a decimal,
n is the number of compoundings per year,
and t is the number of years.
A = 8000 (1 + 0.152/2)^(2×3)
A = 8000 (1.076)^6
A = 12415.48
She wants 25she divides each by 12 to get for 1 person then multiplies by 25 to get for 25 peoplemulitply each ingredient by 25/12
for multiplying fractions, try to put them in standard a/b form first
flour1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 cup flour
baking powder1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 tsp baking powder
salt1/2 times 25/12=25/24=24/24+1/24=1+1/24=1 and 1/24 tsp salt
butter1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 stick of butter
sugar
1 times 25/12=25/12=24/12+1/12=2+1/12=2 and 1/12 cup of sugar
eggs3 times 25/12=3/1 times 25/12=75/12=25/4=24/4+1/4=6+1/4=6 and 1/4 eggs
vanilla extract
1 and 1/2 times 25/12=2/2+1/2 times 25/12=3/2 times 25/12=75/24=25/8=24/8+1/8=3+1/8=3 and 1/8 tsp vainlla extract
milk3/4 times 25/12=75/48=25/16=16/16+9/16=1+9/16=1 and 9/16 cup milk
for 25 servings
she needs
3 and 1/8 cup flour
2 and 1/12 tsp baking powder1 and 1/24 tsp salt2 and 1/12 stick of butter2 and 1/12 cup of sugar
6 and 1/4 eggs3 and 1/8 tsp vanilla extract1 and 9/16 cup milk
All real numbers
7w-(2+w) = 2(3w-1)
Expand
7w-(2+w)= 6w-2
7w-2-w=6w-2
Group like terms
6w-2=6w-2
Add 2 to both sides
6w=6w
subtract 6w from both sides
0=0
True for all w
Answer:
Option D: mGE = 190°
Step-by-step explanation:
From the property of angles of secant and tangent lines, we have:
DBG = (mGE - mDG)/2
(That is, the angle in point B is half the difference of the larger arc by the smaller arc defined by the lines)
So, we have that:
58 = (mGE - 74)/2
2*58 = mGE - 74
mGE = 116 + 74 = 190°
So we have that mGE is equal to 190°, correct option: D.
8.5x + 55 = 123
You would use the formula: mx + b = y
The slope is the amount of money each day(mx),and the y-intercept would be the fee(b) and the total cost would be y.