Molly's friend, Xavier, has 11/8 cups of strawberries. He needs 3/4 cup of strawberries to make a batch of tarts. How many batch
1 answer:
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ANSWER
$1,413.81
EXPLANATION
The compound interest formula is given by:
Where P=900 is the balance in the account, t=10 is the number of years and r=0.0462 is the rate.
We substitute the values in to the formula to get:
This simplifies to:
Therefore $1413.81 will be in the account after 10 years.
Answer:
Semiannual payment = $ 1391.37
Total payment = $ 8348.22
Interest paid = $ 848.22
Step-by-step explanation:
Since, the semiannual payment formula of a loan,
Where,
PV = present value of the loan,
n = number of semiannual payments,
r = annual rate,
Here, PV = 7500, r = 6.3% =0.063, n = 6,
By substituting the value,
The semiannual payment would be,
Also, total payment = semiannual payment × total semiannual periods
= 1391.37 × 6
= $ 8348.22,
Also, the interest paid = total payment - present value
= 8348.22 - 7500
= $ 848.22
Answer:
Step-by-step explanation:
We khow that the equation of a circle is written this way :
(x-a)²+(y-b)²=r² where (x,y) are the coordinates of the cercle's points and (a,b) the coordinates of the cercle's center and r the radius .
Our task is to khow the values of a and b :
- We khow that the center is lying on the line 3x+2y=16⇒ 2y=-3x+16⇒ y=
x+8
- We khow that the points P and Q are two points in the cercle
- Let Ω be the center of this cercle
- we can notice that : PΩ AND QΩ are both equal to the radius ⇒ PΩ=QΩ= r
- So let's write the expression of this distance using vectors KHOWING THAT Ω(a,b)
- Vector PΩ(a-4,b-6) and Vector QΩ(a-8,b-2)
- PΩ=
and QΩ=
- Let's substitute a by x and b by y
- PΩ=QΩ we substitute each distance by its expression
- After simplyfying the expressions we get finally : -12+8x-8y=0
- now we have -12x +8x-8y=0 and the line equation 3x+2y-16=0
- these are simultanious equations so after solving them we get x=3.8 wich is approximatively 4 and y=2
- we substitute a by 4 and y by 2 in PΩ to get the radius
- we get r =
= 4
- so r²= 16
- then the equation is : (x-4)²+(y-2)²=16