The answer is 16.
—Explanation—
•] You can calculate how much you save by simply moving the period in 10.00 percent two spaces to the left, and then multiply the result by $16 as follows: $16 x .10 = $1.60 savings.
•] you get the final price by simply deducting .10 from 1 and multiplying it by $16 as follows: (1 - .10) x $16 = $14.40 final price.
Answer:
$3,113,34
Step-by-step explanation:
The formula for calculating compound interest is
Where
A=the future total value, i.e, the money you will have after t years.
P=the initial deposit.
r=the annual interest rate.
n=the number of times that interest is compounded per year.
t=the number of years the money is saved.
In our case
A is unknown and we will have to calculate it with the formula.
P=$12,000
r=2.9%=0.029
n=365 because the interest is compounded daily and there are 365 days in a year
t=8 years
Applying the formula we get
So A=15,113.336
This is the amount of money you would have after 8 years.
Subtracting the initial deposit from this amount we obtain the interest earned I
I=15,113.336-12,000=3,113.336
Rounded to the nearest hundreth
I=$3,113,30
Answer:
tan C = 3/4
Step-by-step explanation:
sin C = opposite over hypotenuse
sin C = 3/5
BC = 5
AB = 3
We can use the Pythagorean theorem
a^2 + b^2 = c^2
3^2 + b^2 = 5^2
9 + b^2= 25
Subtract 9 from each side
9-9+b^2=25-9
b^2= 16
Take the square root of each side
sqrt(b^2)= sqrt(16)
b = 4
AC = 4
Tan C = opp side/ adj side
tan C = AB/ AC = 3/4
Answer:
∠1 ≅ ∠2
Step-by-step explanation:
As shown in the figure:
We need to prove e ∥ f using the congruent angle.
So, check the options:
A) ∠2 ≅ ∠4 ⇒ (Wrong)
B) ∠1 ≅ ∠2 ⇒ (True) because a ∥ b (Given)
C) ∠2 ≅ ∠3 ⇒ It is required to prove that to prove e ∥ f , it can't be used.
D) ∠1 ≅ ∠4 ⇒ (Wrong)
The complete sentence will be:
We see that <u>∠1 ≅ ∠2</u> by the alternate exterior angles theorem.
Therefore, angle 2 is congruent to angle 3 by the transitive property.
