The formula is:
Future value = accumulated amount, F = P(1+r)^t
P=principal
r=annual interest rate [compounded annually]
t=number of years of loan
Given:
P=950
r=0.07
t=8
F=950(1.07)^8
= 1632.28 (total amount)
Interest = total amount - principal
=1632.28 - 950
=682.28
Answer:
see explanation
Step-by-step explanation:
The vertex form of f(x) is
f(x) = (x - h)² + k
where (h, k) are the coordinates of the vertex
To obtain this form use the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 14x
f(x) = x² + 2(7)x + 49 - 49 + 36
= (x + 7)² - 13
The minimum value of f(x) is the y- coordinate of the vertex
vertex = (- 7, - 13), that is minimum value = - 13
Answer:
<u>Jeanette’s ticket was less than the original price by 12 percent</u>
Step-by-step explanation:
1. Let's calculate the 20% discount price Jeanette received:
75 - 0.2 * 75 = 75 - 15 = $ 60
The discounted price is $ 60
2. Let's calculate the 10% service fee to the discounted price:
60 + 0.1 * 60 = 60 + 6 = $ 66
The price including the service fee is $ 66
3. Finally, let's calculate the less percentage than the original price:
Let's use the Direct Rule of Three, this way:
Price Percentage
75 100
66 x
**************************
75x = 66 * 100
75x = 6,600
x = 6,600/75
x = 88
Less percentage = 100 - 88 = 12%
<u>Jeanette’s ticket was less than the original price by 12 percent</u>
Answer:
a. dbc = 66, ABC = 132
b. abd = 52, dbc= 52
Step-by-step explanation:
just remember that bisects means that the angles on either side of the middle line are equal. so for a, dbc = abd and ABC = 2x 66
for b, abd and dbc are equal, so both of them are just 104 divide by two
Answer:
The volume of the silo is about 142.3 cubic meters. Try It! The volume of a sphere is twice the volume of a cone that has the same circular base and height. The formula for the volume of a sphere with radius r is V= r3.
Step-by-step explanation:
Notice that if a cone and a sphere have equal radius, and if the cone has a height equal to its radius, then the cone will fill the sphere exactly four times. This means that the volume of the sphere is $4 times the volume of the cone.
